diff --git a/draft-ietf-codec-opus-08.txt b/draft-ietf-codec-opus-08.txt deleted file mode 100644 index 3df06c6..0000000 --- a/draft-ietf-codec-opus-08.txt +++ /dev/null @@ -1,15176 +0,0 @@ - - - -Network Working Group JM. Valin -Internet-Draft Octasic Inc. -Intended status: Standards Track K. Vos -Expires: February 17, 2012 Skype Technologies S.A. - T. Terriberry - Mozilla Corporation - August 16, 2011 - - - Definition of the Opus Audio Codec - draft-ietf-codec-opus-08 - -Abstract - - This document defines the Opus codec, designed for interactive speech - and audio transmission over the Internet. - -Status of this Memo - - This Internet-Draft is submitted in full conformance with the - provisions of BCP 78 and BCP 79. - - Internet-Drafts are working documents of the Internet Engineering - Task Force (IETF). Note that other groups may also distribute - working documents as Internet-Drafts. The list of current Internet- - Drafts is at http://datatracker.ietf.org/drafts/current/. - - Internet-Drafts are draft documents valid for a maximum of six months - and may be updated, replaced, or obsoleted by other documents at any - time. It is inappropriate to use Internet-Drafts as reference - material or to cite them other than as "work in progress." - - This Internet-Draft will expire on February 17, 2012. - -Copyright Notice - - Copyright (c) 2011 IETF Trust and the persons identified as the - document authors. All rights reserved. - - This document is subject to BCP 78 and the IETF Trust's Legal - Provisions Relating to IETF Documents - (http://trustee.ietf.org/license-info) in effect on the date of - publication of this document. Please review these documents - carefully, as they describe your rights and restrictions with respect - to this document. Code Components extracted from this document must - include Simplified BSD License text as described in Section 4.e of - the Trust Legal Provisions and are provided without warranty as - described in the Simplified BSD License. - - - -Valin, et al. Expires February 17, 2012 [Page 1] - -Internet-Draft Interactive Audio Codec August 2011 - - -Table of Contents - - 1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . 4 - 1.1. Notation and Conventions . . . . . . . . . . . . . . . . 5 - 1.1.1. min(x,y) . . . . . . . . . . . . . . . . . . . . . . 5 - 1.1.2. max(x,y) . . . . . . . . . . . . . . . . . . . . . . 5 - 1.1.3. clamp(lo,x,hi) . . . . . . . . . . . . . . . . . . . 5 - 1.1.4. sign(x) . . . . . . . . . . . . . . . . . . . . . . . 5 - 1.1.5. log2(f) . . . . . . . . . . . . . . . . . . . . . . . 6 - 1.1.6. ilog(n) . . . . . . . . . . . . . . . . . . . . . . . 6 - 2. Opus Codec Overview . . . . . . . . . . . . . . . . . . . . . 7 - 3. Codec Modes . . . . . . . . . . . . . . . . . . . . . . . . . 9 - 3.1. The TOC Byte . . . . . . . . . . . . . . . . . . . . . . 9 - 3.2. Frame Packing . . . . . . . . . . . . . . . . . . . . . . 11 - 3.2.1. Frame Length Coding . . . . . . . . . . . . . . . . . 11 - 3.2.2. One Frame in the Packet (Code 0) . . . . . . . . . . 11 - 3.2.3. Two Frames in the Packet, Each with Equal - Compressed Size (Code 1) . . . . . . . . . . . . . . 12 - 3.2.4. Two Frames in the Packet, with Different - Compressed Sizes (Code 2) . . . . . . . . . . . . . . 12 - 3.2.5. An Arbitrary Number of Frames in the Packet - (Code 3) . . . . . . . . . . . . . . . . . . . . . . 13 - 3.3. Examples . . . . . . . . . . . . . . . . . . . . . . . . 15 - 3.4. Extending Opus . . . . . . . . . . . . . . . . . . . . . 16 - 4. Opus Decoder . . . . . . . . . . . . . . . . . . . . . . . . 17 - 4.1. Range Decoder . . . . . . . . . . . . . . . . . . . . . . 17 - 4.1.1. Decoding Symbols . . . . . . . . . . . . . . . . . . 19 - 4.1.2. Alternate Decoding Methods . . . . . . . . . . . . . 20 - 4.1.3. Decoding Raw Bits . . . . . . . . . . . . . . . . . . 22 - 4.1.4. Decoding Uniformly Distributed Integers . . . . . . . 22 - 4.1.5. Current Bit Usage . . . . . . . . . . . . . . . . . . 23 - 4.2. SILK Decoder . . . . . . . . . . . . . . . . . . . . . . 24 - 4.2.1. Decoder Modules . . . . . . . . . . . . . . . . . . . 26 - 4.2.2. Header Bits . . . . . . . . . . . . . . . . . . . . . 28 - 4.2.3. LBRR Flags . . . . . . . . . . . . . . . . . . . . . 28 - 4.2.4. SILK Frame Contents . . . . . . . . . . . . . . . . . 28 - 4.2.5. LBRR Frames . . . . . . . . . . . . . . . . . . . . . 74 - 4.3. CELT Decoder . . . . . . . . . . . . . . . . . . . . . . 75 - 4.3.1. Transient Decoding . . . . . . . . . . . . . . . . . 76 - 4.3.2. Energy Envelope Decoding . . . . . . . . . . . . . . 76 - 4.3.3. Bit allocation . . . . . . . . . . . . . . . . . . . 78 - 4.3.4. Shape Decoder . . . . . . . . . . . . . . . . . . . . 82 - 4.3.5. Anti-collapse processing . . . . . . . . . . . . . . 84 - 4.3.6. Denormalization . . . . . . . . . . . . . . . . . . . 84 - 4.3.7. Inverse MDCT . . . . . . . . . . . . . . . . . . . . 84 - 4.3.8. Packet Loss Concealment (PLC) . . . . . . . . . . . . 85 - 4.4. Mode Switching . . . . . . . . . . . . . . . . . . . . . 85 - 4.4.1. Switching Side Information . . . . . . . . . . . . . 86 - - - -Valin, et al. Expires February 17, 2012 [Page 2] - -Internet-Draft Interactive Audio Codec August 2011 - - - 5. Codec Encoder . . . . . . . . . . . . . . . . . . . . . . . . 88 - 5.1. Range Coder . . . . . . . . . . . . . . . . . . . . . . . 88 - 5.1.1. Encoding Symbols . . . . . . . . . . . . . . . . . . 88 - 5.1.2. Encoding Raw Bits . . . . . . . . . . . . . . . . . . 89 - 5.1.3. Encoding Uniformly Distributed Integers . . . . . . . 90 - 5.1.4. Finalizing the Stream . . . . . . . . . . . . . . . . 90 - 5.1.5. Current Bit Usage . . . . . . . . . . . . . . . . . . 90 - 5.2. SILK Encoder . . . . . . . . . . . . . . . . . . . . . . 91 - 5.2.1. Voice Activity Detection . . . . . . . . . . . . . . 92 - 5.2.2. High-Pass Filter . . . . . . . . . . . . . . . . . . 93 - 5.2.3. Pitch Analysis . . . . . . . . . . . . . . . . . . . 93 - 5.2.4. Noise Shaping Analysis . . . . . . . . . . . . . . . 95 - 5.2.5. Prefilter . . . . . . . . . . . . . . . . . . . . . . 99 - 5.2.6. Prediction Analysis . . . . . . . . . . . . . . . . . 99 - 5.2.7. LSF Quantization . . . . . . . . . . . . . . . . . . 100 - 5.2.8. LTP Quantization . . . . . . . . . . . . . . . . . . 103 - 5.2.9. Noise Shaping Quantizer . . . . . . . . . . . . . . . 104 - 5.2.10. Range Encoder . . . . . . . . . . . . . . . . . . . . 105 - 5.3. CELT Encoder . . . . . . . . . . . . . . . . . . . . . . 105 - 5.3.1. Pre-filter . . . . . . . . . . . . . . . . . . . . . 105 - 5.3.2. Forward MDCT . . . . . . . . . . . . . . . . . . . . 105 - 5.3.3. Bands and Normalization . . . . . . . . . . . . . . . 106 - 5.3.4. Energy Envelope Quantization . . . . . . . . . . . . 106 - 5.3.5. Spherical Vector Quantization . . . . . . . . . . . . 107 - 5.3.6. Stereo support . . . . . . . . . . . . . . . . . . . 108 - 5.3.7. Synthesis . . . . . . . . . . . . . . . . . . . . . . 109 - 5.3.8. Variable Bitrate (VBR) . . . . . . . . . . . . . . . 109 - 6. Conformance . . . . . . . . . . . . . . . . . . . . . . . . . 110 - 7. Security Considerations . . . . . . . . . . . . . . . . . . . 111 - 8. IANA Considerations . . . . . . . . . . . . . . . . . . . . . 112 - 9. Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . 113 - 10. Informative References . . . . . . . . . . . . . . . . . . . 114 - Appendix A. Reference Implementation . . . . . . . . . . . . . . 116 - A.1. Extracting the source . . . . . . . . . . . . . . . . . . 116 - A.2. Development Versions . . . . . . . . . . . . . . . . . . 116 - A.3. Base64-encoded source code . . . . . . . . . . . . . . . 116 - Appendix B. opus_compare.c . . . . . . . . . . . . . . . . . . . 261 - Appendix C. Self-Delimiting Framing . . . . . . . . . . . . . . 267 - Authors' Addresses . . . . . . . . . . . . . . . . . . . . . . . 271 - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 3] - -Internet-Draft Interactive Audio Codec August 2011 - - -1. Introduction - - The Opus codec is a real-time interactive audio codec composed of a - linear prediction (LP)-based layer and a Modified Discrete Cosine - Transform (MDCT)-based layer. The main idea behind using two layers - is that in speech, linear prediction techniques (such as CELP) code - low frequencies more efficiently than transform (e.g., MDCT) domain - techniques, while the situation is reversed for music and higher - speech frequencies. Thus a codec with both layers available can - operate over a wider range than either one alone and, by combining - them, achieve better quality than either one individually. - - The primary normative part of this specification is provided by the - source code in Appendix A. In general, only the decoder portion of - this software is normative, though a significant amount of code is - shared by both the encoder and decoder. The decoder contains - significant amounts of integer and fixed-point arithmetic which must - be performed exactly, including all rounding considerations, so any - useful specification must make extensive use of domain-specific - symbolic language to adequately define these operations. - Additionally, any conflict between the symbolic representation and - the included reference implementation must be resolved. For the - practical reasons of compatibility and testability it would be - advantageous to give the reference implementation priority in any - disagreement. The C language is also one of the most widely - understood human-readable symbolic representations for machine - behavior. For these reasons this RFC uses the reference - implementation as the sole symbolic representation of the codec. - - While the symbolic representation is unambiguous and complete it is - not always the easiest way to understand the codec's operation. For - this reason this document also describes significant parts of the - codec in English and takes the opportunity to explain the rationale - behind many of the more surprising elements of the design. These - descriptions are intended to be accurate and informative, but the - limitations of common English sometimes result in ambiguity, so it is - expected that the reader will always read them alongside the symbolic - representation. Numerous references to the implementation are - provided for this purpose. The descriptions sometimes differ from - the reference in ordering or through mathematical simplification - wherever such deviation makes an explanation easier to understand. - For example, the right shift and left shift operations in the - reference implementation are often described using division and - multiplication in the text. In general, the text is focused on the - "what" and "why" while the symbolic representation most clearly - provides the "how". - - - - - -Valin, et al. Expires February 17, 2012 [Page 4] - -Internet-Draft Interactive Audio Codec August 2011 - - -1.1. Notation and Conventions - - The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", - "SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this - document are to be interpreted as described in RFC 2119. - - Even when using floating-point, various operations in the codec - require bit-exact fixed-point behavior. The notation "Q", where n - is an integer, denotes the number of binary digits to the right of - the decimal point in a fixed-point number. For example, a signed Q14 - value in a 16-bit word can represent values from -2.0 to - 1.99993896484375, inclusive. This notation is for informational - purposes only. Arithmetic, when described, always operates on the - underlying integer. E.g., the text will explicitly indicate any - shifts required after a multiplication. - - Expressions, where included in the text, follow C operator rules and - precedence, with the exception that syntax like "2**n" is used to - indicate 2 raised to the power n. The text also makes use of the - following functions: - -1.1.1. min(x,y) - - The smallest of two values x and y. - -1.1.2. max(x,y) - - The largest of two values x and y. - -1.1.3. clamp(lo,x,hi) - - clamp(lo,x,hi) = max(lo,min(x,hi)) - - With this definition, if lo>hi, the lower bound is the one that is - enforced. - -1.1.4. sign(x) - - The sign of x, i.e., - - ( -1, x < 0 , - sign(x) = < 0, x == 0 , - ( 1, x > 0 . - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 5] - -Internet-Draft Interactive Audio Codec August 2011 - - -1.1.5. log2(f) - - The base-two logarithm of f. - -1.1.6. ilog(n) - - The minimum number of bits required to store a positive integer n in - two's complement notation, or 0 for a non-positive integer n. - - ( 0, n <= 0, - ilog(n) = < - ( floor(log2(n))+1, n > 0 - - Examples: - - o ilog(-1) = 0 - - o ilog(0) = 0 - - o ilog(1) = 1 - - o ilog(2) = 2 - - o ilog(3) = 2 - - o ilog(4) = 3 - - o ilog(7) = 3 - - - - - - - - - - - - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 6] - -Internet-Draft Interactive Audio Codec August 2011 - - -2. Opus Codec Overview - - The Opus codec scales from 6 kb/s narrowband mono speech to 510 kb/s - fullband stereo music, with algorithmic delays ranging from 5 ms to - 65.2 ms. At any given time, either the LP layer, the MDCT layer, or - both, may be active. It can seamlessly switch between all of its - various operating modes, giving it a great deal of flexibility to - adapt to varying content and network conditions without renegotiating - the current session. Internally, the codec always operates at a - 48 kHz sampling rate, though it allows input and output of various - bandwidths, defined as follows: - - +----------------------+-----------------+--------------------------+ - | Abbreviation | Audio Bandwidth | Sampling Rate | - | | | (Effective) | - +----------------------+-----------------+--------------------------+ - | NB (narrowband) | 4 kHz | 8 kHz | - | | | | - | MB (medium-band) | 6 kHz | 12 kHz | - | | | | - | WB (wideband) | 8 kHz | 16 kHz | - | | | | - | SWB (super-wideband) | 12 kHz | 24 kHz | - | | | | - | FB (fullband) | 20 kHz | 48 kHz | - +----------------------+-----------------+--------------------------+ - - These can be chosen independently on the encoder and decoder side, - e.g., a fullband signal can be decoded as wideband, or vice versa. - This approach ensures a sender and receiver can always interoperate, - regardless of the capabilities of their actual audio hardware. - - The LP layer is based on the SILK [1] codec [SILK]. It supports NB, - MB, or WB audio and frame sizes from 10 ms to 60 ms, and requires an - additional 5.2 ms look-ahead for noise shaping estimation (5 ms) and - internal resampling (0.2 ms). Like Vorbis and many other modern - codecs, SILK is inherently designed for variable-bitrate (VBR) - coding, though an encoder can with sufficient effort produce - constant-bitrate (CBR) or near-CBR streams. - - The MDCT layer is based on the CELT [2] codec [CELT]. It supports - sampling NB, WB, SWB, or FB audio and frame sizes from 2.5 ms to - 20 ms, and requires an additional 2.5 ms look-ahead due to the - overlapping MDCT windows. The CELT codec is inherently designed for - CBR coding, but unlike many CBR codecs it is not limited to a set of - predetermined rates. It internally allocates bits to exactly fill - any given target budget, and an encoder can produce a VBR stream by - varying the target on a per-frame basis. The MDCT layer is not used - - - -Valin, et al. Expires February 17, 2012 [Page 7] - -Internet-Draft Interactive Audio Codec August 2011 - - - for speech when the audio bandwidth is WB or less, as it is not - useful there. On the other hand, non-speech signals are not always - adequately coded using linear prediction, so for music only the MDCT - layer should be used. - - A hybrid mode allows the use of both layers simultaneously with a - frame size of 10 or 20 ms and a SWB or FB audio bandwidth. Each - frame is split into a low frequency signal and a high frequency - signal, with a cutoff of 8 kHz. The LP layer then codes the low - frequency signal, followed by the MDCT layer coding the high - frequency signal. In the MDCT layer, all bands below 8 kHz are - discarded, so there is no coding redundancy between the two layers. - - At the decoder, the two decoder outputs are simply added together. - To compensate for the different look-aheads required by each layer, - the CELT encoder input is delayed by an additional 2.7 ms. This - ensures that low frequencies and high frequencies arrive at the same - time. This extra delay MAY be reduced by an encoder by using less - lookahead for noise shaping or using a simpler resampler in the LP - layer, but this will reduce quality. However, the base 2.5 ms look- - ahead in the CELT layer cannot be reduced in the encoder because it - is needed for the MDCT overlap, whose size is fixed by the decoder. - - Both layers use the same entropy coder, avoiding any waste from - "padding bits" between them. The hybrid approach makes it easy to - support both CBR and VBR coding. Although the LP layer is VBR, the - bit allocation of the MDCT layer can produce a final stream that is - CBR by using all the bits left unused by the LP layer. - - - - - - - - - - - - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 8] - -Internet-Draft Interactive Audio Codec August 2011 - - -3. Codec Modes - - As described, the two layers can be combined in three possible - operating modes: - - 1. A LP-only mode for use in low bitrate connections with an audio - bandwidth of WB or less, - - 2. A hybrid (LP+MDCT) mode for SWB or FB speech at medium bitrates, - and - - 3. An MDCT-only mode for very low delay speech transmission as well - as music transmission. - - A single packet may contain multiple audio frames, however they must - share a common set of parameters, including the operating mode, audio - bandwidth, frame size, and channel count. This section describes the - possible combinations of these parameters and the internal framing - used to pack multiple frames into a single packet. This framing is - not self-delimiting. Instead, it assumes that a higher layer (such - as UDP or RTP or Ogg or Matroska) will communicate the length, in - bytes, of the packet, and it uses this information to reduce the - framing overhead in the packet itself. A decoder implementation MUST - support the framing described in this section. An alternative, self- - delimiting variant of the framing is described in Appendix C. - Support for that variant is OPTIONAL. - -3.1. The TOC Byte - - An Opus packet begins with a single-byte table-of-contents (TOC) - header that signals which of the various modes and configurations a - given packet uses. It is composed of a frame count code, "c", a - stereo flag, "s", and a configuration number, "config", arranged as - illustrated in Figure 1. A description of each of these fields - follows. - - 0 - 0 1 2 3 4 5 6 7 - +-+-+-+-+-+-+-+-+ - | c |s| config | - +-+-+-+-+-+-+-+-+ - - Figure 1: The TOC byte - - The top five bits of the TOC byte, labeled "config", encode one of 32 - possible configurations of operating mode, audio bandwidth, and frame - size. Table 1 lists the parameters for each configuration. - - - - -Valin, et al. Expires February 17, 2012 [Page 9] - -Internet-Draft Interactive Audio Codec August 2011 - - - +-----------------------+-----------+-----------+-------------------+ - | Configuration | Mode | Bandwidth | Frame Size(s) | - | Number(s) | | | | - +-----------------------+-----------+-----------+-------------------+ - | 0...3 | LP-only | NB | 10, 20, 40, 60 ms | - | | | | | - | 4...7 | LP-only | MB | 10, 20, 40, 60 ms | - | | | | | - | 8...11 | LP-only | WB | 10, 20, 40, 60 ms | - | | | | | - | 12...13 | Hybrid | SWB | 10, 20 ms | - | | | | | - | 14...15 | Hybrid | FB | 10, 20 ms | - | | | | | - | 16...19 | MDCT-only | NB | 2.5, 5, 10, 20 ms | - | | | | | - | 20...23 | MDCT-only | WB | 2.5, 5, 10, 20 ms | - | | | | | - | 24...27 | MDCT-only | SWB | 2.5, 5, 10, 20 ms | - | | | | | - | 28...31 | MDCT-only | FB | 2.5, 5, 10, 20 ms | - +-----------------------+-----------+-----------+-------------------+ - - Table 1: TOC Byte Configuration Parameters - - One additional bit, labeled "s", is used to signal mono vs. stereo, - with 0 indicating mono and 1 indicating stereo. - - The remaining two bits of the TOC byte, labeled "c", code the number - of frames per packet (codes 0 to 3) as follows: - - o 0: 1 frame in the packet - - o 1: 2 frames in the packet, each with equal compressed size - - o 2: 2 frames in the packet, with different compressed sizes - - o 3: an arbitrary number of frames in the packet - - This draft refers to a packet as a code 0 packet, code 1 packet, - etc., based on the value of "c". - - A well-formed Opus packet MUST contain at least one byte with the TOC - information, though the frame(s) within a packet MAY be zero bytes - long. - - - - - - -Valin, et al. Expires February 17, 2012 [Page 10] - -Internet-Draft Interactive Audio Codec August 2011 - - -3.2. Frame Packing - - This section describes how frames are packed according to each - possible value of "c" in the TOC byte. - -3.2.1. Frame Length Coding - - When a packet contains multiple VBR frames, the compressed length of - one or more of these frames is indicated with a one or two byte - sequence, with the meaning of the first byte as follows: - - o 0: No frame (DTX or lost packet) - - o 1...251: Size of the frame in bytes - - o 252...255: A second byte is needed. The total size is - (size[1]*4)+size[0] - - The maximum representable size is 255*4+255=1275 bytes. This limit - MUST NOT be exceeded, even when no length field is used. For 20 ms - frames, this represents a bitrate of 510 kb/s, which is approximately - the highest useful rate for lossily compressed fullband stereo music. - Beyond this point, lossless codecs are more appropriate. It is also - roughly the maximum useful rate of the MDCT layer, as shortly - thereafter quality no longer improves with additional bits due to - limitations on the codebook sizes. - - No length is transmitted for the last frame in a VBR packet, or any - of the frames in a CBR packet, as it can be inferred from the total - size of the packet and the size of all other data in the packet. - However, the length of any individual frame MUST NOT exceed - 1275 bytes, to allow for repacketization by gateways, conference - bridges, or other software. - -3.2.2. One Frame in the Packet (Code 0) - - For code 0 packets, the TOC byte is immediately followed by N-1 bytes - of compressed data for a single frame (where N is the size of the - packet), as illustrated in Figure 2. - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 11] - -Internet-Draft Interactive Audio Codec August 2011 - - - 0 1 2 3 - 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - |0|0|s| config | | - +-+-+-+-+-+-+-+-+ | - | Compressed frame 1 (N-1 bytes)... : - : | - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - - Figure 2: A Code 0 Packet - -3.2.3. Two Frames in the Packet, Each with Equal Compressed Size - (Code 1) - - For code 1 packets, the TOC byte is immediately followed by the - (N-1)/2 bytes of compressed data for the first frame, followed by - (N-1)/2 bytes of compressed data for the second frame, as illustrated - in Figure 3. The number of payload bytes available for compressed - data, N-1, MUST be even for all code 1 packets. - - 0 1 2 3 - 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - |1|0|s| config | | - +-+-+-+-+-+-+-+-+ : - | Compressed frame 1 ((N-1)/2 bytes)... | - : +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - | | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ : - | Compressed frame 2 ((N-1)/2 bytes)... | - : +-+-+-+-+-+-+-+-+ - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - - Figure 3: A Code 1 Packet - -3.2.4. Two Frames in the Packet, with Different Compressed Sizes - (Code 2) - - For code 2 packets, the TOC byte is followed by a one or two byte - sequence indicating the length of the first frame (marked N1 in the - figure below), followed by N1 bytes of compressed data for the first - frame. The remaining N-N1-2 or N-N1-3 bytes are the compressed data - for the second frame. This is illustrated in Figure 4. The length - of the first frame, N1, MUST be no larger than the size of the - payload remaining after decoding that length for all code 2 packets. - - - - -Valin, et al. Expires February 17, 2012 [Page 12] - -Internet-Draft Interactive Audio Codec August 2011 - - - 0 1 2 3 - 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - |0|1|s| config | N1 (1-2 bytes): | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ : - | Compressed frame 1 (N1 bytes)... | - : +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - | | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ | - | Compressed frame 2... : - : | - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - - Figure 4: A Code 2 Packet - -3.2.5. An Arbitrary Number of Frames in the Packet (Code 3) - - Code 3 packets may encode an arbitrary number of packets, as well as - additional padding, called "Opus padding" to indicate that this - padding is added at the Opus layer, rather than at the transport - layer. For code 3 packets, the TOC byte is followed by a byte - encoding the number of frames in the packet in bits 0 to 5 (marked - "M" in the figure below), with bit 6 indicating whether or not Opus - padding is inserted (marked "p" in the figure below), and bit 7 - indicating VBR (marked "v" in the figure below). M MUST NOT be zero, - and the audio duration contained within a packet MUST NOT exceed - 120 ms. This limits the maximum frame count for any frame size to 48 - (for 2.5 ms frames), with lower limits for longer frame sizes. - Figure 5 illustrates the layout of the frame count byte. - - 0 - 0 1 2 3 4 5 6 7 - +-+-+-+-+-+-+-+-+ - | M |p|v| - +-+-+-+-+-+-+-+-+ - - Figure 5: The frame count byte - - When Opus padding is used, the number of bytes of padding is encoded - in the bytes following the frame count byte. Values from 0...254 - indicate that 0...254 bytes of padding are included, in addition to - the byte(s) used to indicate the size of the padding. If the value - is 255, then the size of the additional padding is 254 bytes, plus - the padding value encoded in the next byte. The additional padding - bytes appear at the end of the packet, and SHOULD be set to zero by - the encoder, however the decoder MUST accept any value for the - padding bytes. By using code 255 multiple times, it is possible to - - - -Valin, et al. Expires February 17, 2012 [Page 13] - -Internet-Draft Interactive Audio Codec August 2011 - - - create a packet of any specific, desired size. Let P be the total - amount of padding, including both the trailing padding bytes - themselves and the header bytes used to indicate how many there are. - Then P MUST be no more than N-2 for CBR packets, or N-M-1 for VBR - packets. - - In the CBR case, the compressed length of each frame in bytes is - equal to the number of remaining bytes in the packet after - subtracting the (optional) padding, (N-2-P), divided by M. This - number MUST be an integer multiple of M. The compressed data for all - M frames then follows, each of size (N-2-P)/M bytes, as illustrated - in Figure 6. - - 0 1 2 3 - 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - |1|1|s| config | M |p|0| Padding length (Optional) : - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - | | - : Compressed frame 1 ((N-2-P)/M bytes)... : - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - | | - : Compressed frame 2 ((N-2-P)/M bytes)... : - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - | | - : ... : - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - | | - : Compressed frame M ((N-2-P)/M bytes)... : - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - : Opus Padding (Optional)... | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - - Figure 6: A CBR Code 3 Packet - - In the VBR case, the (optional) padding length is followed by M-1 - frame lengths (indicated by "N1" to "N[M-1]" in the figure below), - each encoded in a one or two byte sequence as described above. The - packet MUST contain enough data for the M-1 lengths after the - (optional) padding, and the sum of these lengths MUST be no larger - than the number of bytes remaining in the packet after decoding them. - The compressed data for all M frames follows, each frame consisting - of the indicated number of bytes, with the final frame consuming any - remaining bytes before the final padding, as illustrated in Figure 6. - - - -Valin, et al. Expires February 17, 2012 [Page 14] - -Internet-Draft Interactive Audio Codec August 2011 - - - The number of header bytes (TOC byte, frame count byte, padding - length bytes, and frame length bytes), plus the length of the first - M-1 frames themselves, plus the length of the padding MUST be no - larger than N, the total size of the packet. - - 0 1 2 3 - 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - |1|1|s| config | M |p|1| Padding length (Optional) : - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - : N1 (1-2 bytes): N2 (1-2 bytes): ... : N[M-1] | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - | | - : Compressed frame 1 (N1 bytes)... : - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - | | - : Compressed frame 2 (N2 bytes)... : - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - | | - : ... : - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - | | - : Compressed frame M... : - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - : Opus Padding (Optional)... | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - - Figure 7: A VBR Code 3 Packet - -3.3. Examples - - Simplest case, one NB mono 20 ms SILK frame: - - 0 1 2 3 - 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - |0|0|0| 1 | compressed data... : - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - - Two FB mono 5 ms CELT frames of the same compressed size: - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 15] - -Internet-Draft Interactive Audio Codec August 2011 - - - 0 1 2 3 - 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - |1|0|0| 29 | compressed data... : - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - - Two FB mono 20 ms hybrid frames of different compressed size: - - 0 1 2 3 - 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - |1|1|0| 15 | 2 |0|1| N1 | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ | - | compressed data... : - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - - Four FB stereo 20 ms CELT frames of the same compressed size: - - 0 1 2 3 - 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - |1|1|1| 31 | 4 |0|0| compressed data... : - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - -3.4. Extending Opus - - A receiver MUST NOT process packets which violate the rules above as - normal Opus packets. They are reserved for future applications, such - as in-band headers (containing metadata, etc.) or multichannel - support. - - - - - - - - - - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 16] - -Internet-Draft Interactive Audio Codec August 2011 - - -4. Opus Decoder - - The Opus decoder consists of two main blocks: the SILK decoder and - the CELT decoder. The output of the Opus decode is the sum of the - outputs from the SILK and CELT decoders with proper sample rate - conversion and delay compensation as illustrated in the block diagram - below. At any given time, one or both of the SILK and CELT decoders - may be active. - - - +-------+ +----------+ - | SILK | | sample | - +->|decoder|--->| rate |----+ - bit- +-------+ | | | |conversion| v - stream | Range |---+ +-------+ +----------+ /---\ audio - ------->|decoder| | + |------> - | |---+ +-------+ +----------+ \---/ - +-------+ | | CELT | | Delay | ^ - +->|decoder|----| compens- |----+ - | | | ation | - +-------+ +----------+ - - -4.1. Range Decoder - - Opus uses an entropy coder based on [range-coding], which is itself a - rediscovery of the FIFO arithmetic code introduced by - [coding-thesis]. It is very similar to arithmetic encoding, except - that encoding is done with digits in any base instead of with bits, - so it is faster when using larger bases (i.e., an octet). All of the - calculations in the range coder must use bit-exact integer - arithmetic. - - Symbols may also be coded as "raw bits" packed directly into the - bitstream, bypassing the range coder. These are packed backwards - starting at the end of the frame, as illustrated in Figure 8. This - reduces complexity and makes the stream more resilient to bit errors, - as corruption in the raw bits will not desynchronize the decoding - process, unlike corruption in the input to the range decoder. Raw - bits are only used in the CELT layer. - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 17] - -Internet-Draft Interactive Audio Codec August 2011 - - - 0 1 2 3 - 7 6 5 4 3 2 1 0 7 6 5 4 3 2 1 0 7 6 5 4 3 2 1 0 7 6 5 4 3 2 1 0 - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - | Range coder data (packed MSb to LSb) -> : - + + - : : - + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - : | <- Boundary occurs at an arbitrary bit position : - +-+-+-+ + - : <- Raw bits data (packed LSb to MSb) | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - - Figure 8: Illustrative example of packing range coder and raw bits - data - - Each symbol coded by the range coder is drawn from a finite alphabet - and coded in a separate "context", which describes the size of the - alphabet and the relative frequency of each symbol in that alphabet. - Opus only uses static contexts. They are not adapted to the - statistics of the data as it is coded. - - Suppose there is a context with n symbols, identified with an index - that ranges from 0 to n-1. The parameters needed to encode or decode - a symbol in this context are represented by a three-tuple - (fl[k], fh[k], ft), with 0 <= fl[k] < fh[k] <= ft <= 65535. The - values of this tuple are derived from the probability model for the - symbol, represented by traditional "frequency counts" (although, - since Opus uses static contexts, these are not updated as symbols are - decoded). Let f[i] be the frequency of symbol i. Then the three- - tuple corresponding to symbol k is given by - - k-1 n-1 - __ __ - fl[k] = \ f[i], fh[k] = fl[k] + f[k], ft[k] = \ f[i] - /_ /_ - i=0 i=0 - - The range decoder extracts the symbols and integers encoded using the - range encoder in Section 5.1. The range decoder maintains an - internal state vector composed of the two-tuple (val,rng), - representing the difference between the high end of the current range - and the actual coded value, minus one, and the size of the current - range, respectively. Both val and rng are 32-bit unsigned integer - values. The decoder initializes rng to 128 and initializes val to - 127 minus the top 7 bits of the first input octet. The remaining bit - is saved for use in the renormalization procedure described in - Section 4.1.1.1, which the decoder invokes immediately after - initialization to read additional bits and establish the invariant - - - -Valin, et al. Expires February 17, 2012 [Page 18] - -Internet-Draft Interactive Audio Codec August 2011 - - - that rng > 2**23. - -4.1.1. Decoding Symbols - - Decoding a symbol is a two-step process. The first step determines a - 16-bit unsigned value fs, which lies within the range of some symbol - in the current context. The second step updates the range decoder - state with the three-tuple (fl[k], fh[k], ft) corresponding to that - symbol. - - The first step is implemented by ec_decode() (entdec.c), which - computes - - fs = ft - min(val/(rng/ft)+1, ft) . - - The divisions here are exact integer division. - - The decoder then identifies the symbol in the current context - corresponding to fs; i.e., the value of k whose three-tuple - (fl[k], fh[k], ft) satisfies fl[k] <= fs < fh[k]. It uses this tuple - to update val according to - - val = val - (rng/ft)*(ft-fh[k]) . - - If fl[k] is greater than zero, then the decoder updates rng using - - rng = (rng/ft)*(fh[k]-fl[k]) . - - Otherwise, it updates rng using - - rng = rng - (rng/ft)*(ft-fh[k]). - - Using a special case for the first symbol, rather than the last - symbol, as is commonly done in other arithmetic coders, ensures that - all the truncation error from the finite precision arithmetic - accumulates in symbol 0. This makes the cost of coding a 0 slightly - smaller, on average, than its estimated probability indicates and - makes the cost of coding any other symbol slightly larger. When - contexts are designed so that 0 is the most probable symbol, which is - often the case, this strategy minimizes the inefficiency introduced - by the finite precision. It also makes some of the special-case - decoding routines in Section 4.1.2 particularly simple. - - After the updates, implemented by ec_dec_update() (entdec.c), the - decoder normalizes the range using the procedure in the next section, - and returns the index k. - - - - - -Valin, et al. Expires February 17, 2012 [Page 19] - -Internet-Draft Interactive Audio Codec August 2011 - - -4.1.1.1. Renormalization - - To normalize the range, the decoder repeats the following process, - implemented by ec_dec_normalize() (entdec.c), until rng > 2**23. If - rng is already greater than 2**23, the entire process is skipped. - First, it sets rng to (rng<<8). Then it reads the next octet of the - payload and combines it with the left-over bit buffered from the - previous octet to form the 8-bit value sym. It takes the left-over - bit as the high bit (bit 7) of sym, and the top 7 bits of the octet - it just read as the other 7 bits of sym. The remaining bit in the - octet just read is buffered for use in the next iteration. If no - more input octets remain, it uses zero bits instead. Then, it sets - - val = ((val<<8) + (255-sym)) & 0x7FFFFFFF . - - It is normal and expected that the range decoder will read several - bytes into the raw bits data (if any) at the end of the packet by the - time the frame is completely decoded, as illustrated in Figure 9. - This same data MUST also be returned as raw bits when requested. The - encoder is expected to terminate the stream in such a way that the - decoder will decode the intended values regardless of the data - contained in the raw bits. Section 5.1.4 describes a procedure for - doing this. If the range decoder consumes all of the bytes belonging - to the current frame, it MUST continue to use zero when any further - input bytes are required, even if there is additional data in the - current packet from padding or other frames. - - n n+1 n+2 n+3 - 7 6 5 4 3 2 1 0 7 6 5 4 3 2 1 0 7 6 5 4 3 2 1 0 7 6 5 4 3 2 1 0 - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - : | <----------- Overlap region ------------> | : - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - ^ ^ - | End of data buffered by the range coder | - ...-----------------------------------------------+ - | - | End of data consumed by raw bits - +-------------------------------------------------------... - - Figure 9: Illustrative example of raw bits overlapping range coder - data - -4.1.2. Alternate Decoding Methods - - The reference implementation uses three additional decoding methods - that are exactly equivalent to the above, but make assumptions and - simplifications that allow for a more efficient implementation. - - - - -Valin, et al. Expires February 17, 2012 [Page 20] - -Internet-Draft Interactive Audio Codec August 2011 - - -4.1.2.1. ec_decode_bin() - - The first is ec_decode_bin() (entdec.c), defined using the parameter - ftb instead of ft. It is mathematically equivalent to calling - ec_decode() with ft = (1<>ftb-8)+1), the decoder state is updated using - the three-tuple (t,t+1,(ft-1>>ftb-8)+1), and the remaining bits are - decoded as raw bits, setting t = t<= ft, then the current frame is corrupt. In that - case, the decoder should assume there has been an error in the - coding, decoding, or transmission and SHOULD take measures to conceal - the error and/or report to the application that a problem has - occurred. - -4.1.5. Current Bit Usage - - The bit allocation routines in the CELT decoder need a conservative - upper bound on the number of bits that have been used from the - current frame thus far, including both range coder bits and raw bits. - This drives allocation decisions that must match those made in the - encoder. The upper bound is computed in the reference implementation - to whole-bit precision by the function ec_tell() (entcode.h) and to - fractional 1/8th bit precision by the function ec_tell_frac() - (entcode.c). Like all operations in the range coder, it must be - implemented in a bit-exact manner, and must produce exactly the same - value returned by the same functions in the encoder after encoding - the same symbols. - - ec_tell() is guaranteed to return ceil(ec_tell_frac()/8.0). In - various places the codec will check to ensure there is enough room to - contain a symbol before attempting to decode it. In practice, - although the number of bits used so far is an upper bound, decoding a - symbol whose probability model suggests it has a worst-case cost of p - 1/8th bits may actually advance the return value of ec_tell_frac() by - p-1, p, or p+1 1/8th bits, due to approximation error in that upper - bound, truncation error in the range coder, and for large values of - ft, modeling error in ec_dec_uint(). - - However, this error is bounded, and periodic calls to ec_tell() or - ec_tell_frac() at precisely defined points in the decoding process - prevent it from accumulating. For a symbol that requires a whole - number of bits (i.e., ft/(fh[k]-fl[k]) is a power of two, including - values of ft larger than 2**8 with ec_dec_uint()), and there are at - least p 1/8th bits available, decoding the symbol will never advance - the decoder past the end of the frame, i.e., will never "bust" the - budget. Frames contain a whole number of bits, and the return value - of ec_tell_frac() will only advance by more than p 1/8th bits in this - case if there was a fractional number of bits remaining, and by no - more than the fractional part. However, when p is not a whole number - of bits, an extra 1/8th bit is required to ensure decoding the symbol - - - -Valin, et al. Expires February 17, 2012 [Page 23] - -Internet-Draft Interactive Audio Codec August 2011 - - - will not bust. - - The reference implementation keeps track of the total number of whole - bits that have been processed by the decoder so far in a variable - nbits_total, including the (possibly fractional number of bits) that - are currently buffered (but not consumed) inside the range coder. - nbits_total is initialized to 33 just after the initial range - renormalization process completes (or equivalently, it can be - initialized to 9 before the first renormalization). The extra two - bits over the actual amount buffered by the range coder guarantees - that it is an upper bound and that there is enough room for the - encoder to terminate the stream. Each iteration through the range - coder's renormalization loop increases nbits_total by 8. Reading raw - bits increases nbits_total by the number of raw bits read. - -4.1.5.1. ec_tell() - - The whole number of bits buffered in rng may be estimated via l = - ilog(rng). ec_tell() then becomes a simple matter of removing these - bits from the total. It returns (nbits_total - l). - - In a newly initialized decoder, before any symbols have been read, - this reports that 1 bit has been used. This is the bit reserved for - termination of the encoder. - -4.1.5.2. ec_tell_frac() - - ec_tell_frac() estimates the number of bits buffered in rng to - fractional precision. Since rng must be greater than 2**23 after - renormalization, l must be at least 24. Let r = rng>>(l-16), so that - 32768 <= r < 65536, an unsigned Q15 value representing the fractional - part of rng. Then the following procedure can be used to add one bit - of precision to l. First, update r = r*r>>15. Then add the 16th bit - of r to l via l = 2*l + (r>>16). Finally, if this bit was a 1, - reduce r by a factor of two via r = r>>1, so that it once again lies - in the range 32768 <= r < 65536. - - This procedure is repeated three times to extend l to 1/8th bit - precision. ec_tell_frac() then returns (nbits_total*8 - l). - -4.2. SILK Decoder - - The decoder's LP layer uses a modified version of the SILK codec - (herein simply called "SILK"), which runs a decoded excitation signal - through adaptive long-term and short-term prediction synthesis - filters. It runs in NB, MB, and WB modes internally. When used in a - hybrid frame in SWB or FB mode, the LP layer itself still only runs - in WB mode. - - - -Valin, et al. Expires February 17, 2012 [Page 24] - -Internet-Draft Interactive Audio Codec August 2011 - - - Internally, the LP layer of a single Opus frame is composed of either - a single 10 ms SILK frame or between one and three 20 ms SILK frames. - Each SILK frame is in turn composed of either two or four 5 ms - subframes. Optional Low Bit-Rate Redundancy (LBRR) frames, which are - reduced-bitrate encodings of previous SILK frames, may appear to aid - in recovery from packet loss. If present, these appear before the - regular SILK frames. They are in most respects identical to regular - active SILK frames, except that they are usually encoded with a lower - bitrate, and from here on this draft will use "SILK frame" to refer - to either one and "regular SILK frame" if it needs to draw a - distinction between the two. - - All of these frames and subframes are decoded from the same range - coder, with no padding between them. Thus packing multiple SILK - frames in a single Opus frame saves, on average, half a byte per SILK - frame. It also allows some parameters to be predicted from prior - SILK frames in the same Opus frame, since this does not degrade - packet loss robustness (beyond any penalty for merely using fewer, - larger packets to store multiple frames). - - Stereo support in SILK uses a variant of mid-side coding, allowing a - mono decoder to simply decode the mid channel. However, the data for - the two channels is interleaved, so a mono decoder must still unpack - the data for the side channel. It would be required to do so anyway - for hybrid Opus frames, or to support decoding individual 20 ms - frames. - - +----------------------+-----------------+---------------+ - | Symbol(s) | PDF | Condition | - +----------------------+-----------------+---------------+ - | VAD flags | {1, 1}/2 | | - | | | | - | LBRR flag | {1, 1}/2 | | - | | | | - | Per-frame LBRR flags | Section 4.2.3 | Section 4.2.3 | - | | | | - | Frame Type | Section 4.2.4.1 | | - | | | | - | Gain index | Section 4.2.4.2 | | - +----------------------+-----------------+---------------+ - - Order of the symbols in the SILK section of the bit-stream. - - Table 2 - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 25] - -Internet-Draft Interactive Audio Codec August 2011 - - -4.2.1. Decoder Modules - - An overview of the decoder is given in Figure 10. - - - - +---------+ +------------+ - -->| Range |--->| Decode |---------------------------+ - 1 | Decoder | 2 | Parameters |----------+ 5 | - +---------+ +------------+ 4 | | - 3 | | | - \/ \/ \/ - +------------+ +------------+ +------------+ - | Generate |-->| LTP |-->| LPC |--> - | Excitation | | Synthesis | | Synthesis | 6 - +------------+ +------------+ +------------+ - - 1: Range encoded bitstream - 2: Coded parameters - 3: Pulses and gains - 4: Pitch lags and LTP coefficients - 5: LPC coefficients - 6: Decoded signal - - - Decoder block diagram. - - Figure 10 - -4.2.1.1. Range Decoder - - The range decoder decodes the encoded parameters from the received - bitstream. Output from this function includes the pulses and gains - for the excitation signal generation, as well as LTP and LSF codebook - indices, which are needed for decoding LTP and LPC coefficients - needed for LTP and LPC synthesis filtering the excitation signal, - respectively. - -4.2.1.2. Decode Parameters - - Pulses and gains are decoded from the parameters that were decoded by - the range decoder. - - When a voiced frame is decoded and LTP codebook selection and indices - are received, LTP coefficients are decoded using the selected - codebook by choosing the vector that corresponds to the given - codebook index in that codebook. This is done for each of the four - subframes. The LPC coefficients are decoded from the LSF codebook by - - - -Valin, et al. Expires February 17, 2012 [Page 26] - -Internet-Draft Interactive Audio Codec August 2011 - - - first adding the chosen LSF vector and the decoded LSF residual - signal. The resulting LSF vector is stabilized using the same method - that was used in the encoder, see Section 5.2.7.5. The LSF - coefficients are then converted to LPC coefficients, and passed on to - the LPC synthesis filter. - -4.2.1.3. Generate Excitation - - The pulses signal is multiplied with the quantization gain to create - the excitation signal. - -4.2.1.4. LTP Synthesis - - For voiced speech, the excitation signal e(n) is input to an LTP - synthesis filter that will recreate the long term correlation that - was removed in the LTP analysis filter and generate an LPC excitation - signal e_LPC(n), according to - - - d - __ - e_LPC(n) = e(n) + \ e_LPC(n - L - i) * b_i, - /_ - i=-d - - - using the pitch lag L, and the decoded LTP coefficients b_i. The - number of LTP coefficients is 5, and thus d = 2. For unvoiced - speech, the output signal is simply a copy of the excitation signal, - i.e., e_LPC(n) = e(n). - -4.2.1.5. LPC Synthesis - - In a similar manner, the short-term correlation that was removed in - the LPC analysis filter is recreated in the LPC synthesis filter. - The LPC excitation signal e_LPC(n) is filtered using the LTP - coefficients a_i, according to - - - d_LPC - __ - y(n) = e_LPC(n) + \ y(n - i) * a_i, - /_ - i=1 - - - where d_LPC is the LPC synthesis filter order, and y(n) is the - decoded output signal. - - - -Valin, et al. Expires February 17, 2012 [Page 27] - -Internet-Draft Interactive Audio Codec August 2011 - - -4.2.2. Header Bits - - The LP layer begins with two to eight header bits, decoded in - silk_Decode() (silk_dec_API.c). These consist of one Voice Activity - Detection (VAD) bit per frame (up to 3), followed by a single flag - indicating the presence of LBRR frames. For a stereo packet, these - flags correspond to the mid channel, and a second set of flags is - included for the side channel. - - Because these are the first symbols decoded by the range coder, they - can be extracted directly from the upper bits of the first byte of - compressed data. Thus, a receiver can determine if an Opus frame - contains any active SILK frames without the overhead of using the - range decoder. - -4.2.3. LBRR Flags - - For Opus frames longer than 20 ms, a set of per-frame LBRR flags is - decoded for each channel that has its LBRR flag set. For 40 ms Opus - frames the 2-frame LBRR flag PDF from Table 3 is used, and for 60 ms - Opus frames the 3-frame LBRR flag PDF is used. For each channel, the - resulting 2- or 3-bit integer contains the corresponding LBRR flag - for each frame, packed in order from the LSb to the MSb. - - +------------+-------------------------------------+ - | Frame Size | PDF | - +------------+-------------------------------------+ - | 40 ms | {0, 53, 53, 150}/256 | - | | | - | 60 ms | {0, 41, 20, 29, 41, 15, 28, 82}/256 | - +------------+-------------------------------------+ - - Table 3: LBRR Flag PDFs - - LBRR frames do not include their own separate VAD flags. An LBRR - frame is only meant to be transmitted for active speech, thus all - LBRR frames are treated as active. - -4.2.4. SILK Frame Contents - - Each SILK frame includes a set of side information that encodes the - frame type, quantization type and gains, short-term prediction filter - coefficients, LSF interpolation weight, long-term prediction filter - lags and gains, and a linear congruential generator (LCG) seed. The - quantized excitation signal follows these at the end of the frame. - - - - - - -Valin, et al. Expires February 17, 2012 [Page 28] - -Internet-Draft Interactive Audio Codec August 2011 - - -4.2.4.1. Frame Type - - Each SILK frame begins with a single "frame type" symbol that jointly - codes the signal type and quantization offset type of the - corresponding frame. If the current frame is a regular SILK frame - whose VAD bit was not set (an "inactive" frame), then the frame type - symbol takes on the value either 0 or 1 and is decoded using the - first PDF in Table 4. If the frame is an LBRR frame or a regular - SILK frame whose VAD flag was set (an "active" frame), then the - symbol ranges from 2 to 5, inclusive, and is decoded using the second - PDF in Table 4. Table 5 translates between the value of the frame - type symbol and the corresponding signal type and quantization offset - type. - - +----------+-----------------------------+ - | VAD Flag | PDF | - +----------+-----------------------------+ - | Inactive | {26, 230, 0, 0, 0, 0}/256 | - | | | - | Active | {0, 0, 24, 74, 148, 10}/256 | - +----------+-----------------------------+ - - Table 4: Frame Type PDFs - - +------------+-------------+--------------------------+ - | Frame Type | Signal Type | Quantization Offset Type | - +------------+-------------+--------------------------+ - | 0 | Inactive | 0 | - | | | | - | 1 | Inactive | 1 | - | | | | - | 2 | Unvoiced | 0 | - | | | | - | 3 | Unvoiced | 1 | - | | | | - | 4 | Voiced | 0 | - | | | | - | 5 | Voiced | 1 | - +------------+-------------+--------------------------+ - - Table 5: Signal Type and Quantization Offset Type from Frame Type - -4.2.4.2. Sub-Frame Gains - - A separate quantization gain is coded for each 5 ms subframe. These - gains control the step size between quantization levels of the - excitation signal and, therefore, the quality of the reconstruction. - They are independent of the pitch gains coded for voiced frames. The - - - -Valin, et al. Expires February 17, 2012 [Page 29] - -Internet-Draft Interactive Audio Codec August 2011 - - - quantization gains are themselves uniformly quantized to 6 bits on a - log scale, giving them a resolution of approximately 1.369 dB and a - range of approximately 1.94 dB to 88.21 dB. - - For the first LBRR frame, an LBRR frame where the previous LBRR frame - was not coded, or the first regular SILK frame in an Opus frame, the - first subframe uses an independent coding method. The 3 most - significant bits of the quantization gain are decoded using a PDF - selected from Table 6 based on the decoded signal type. - - +-------------+------------------------------------+ - | Signal Type | PDF | - +-------------+------------------------------------+ - | Inactive | {32, 112, 68, 29, 12, 1, 1, 1}/256 | - | | | - | Unvoiced | {2, 17, 45, 60, 62, 47, 19, 4}/256 | - | | | - | Voiced | {1, 3, 26, 71, 94, 50, 9, 2}/256 | - +-------------+------------------------------------+ - - Table 6: PDFs for Independent Quantization Gain MSb Coding - - The 3 least significant bits are decoded using a uniform PDF: - - +--------------------------------------+ - | PDF | - +--------------------------------------+ - | {32, 32, 32, 32, 32, 32, 32, 32}/256 | - +--------------------------------------+ - - Table 7: PDF for Independent Quantization Gain LSb Coding - - For all other subframes (including the first subframe of frames not - listed as using independent coding above), the quantization gain is - coded relative to the gain from the previous subframe. The PDF in - Table 8 yields a delta gain index between 0 and 40, inclusive. - - +-------------------------------------------------------------------+ - | PDF | - +-------------------------------------------------------------------+ - | {6, 5, 11, 31, 132, 21, 8, 4, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, | - | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, | - | 1}/256 | - +-------------------------------------------------------------------+ - - Table 8: PDF for Delta Quantization Gain Coding - - The following formula translates this index into a quantization gain - - - -Valin, et al. Expires February 17, 2012 [Page 30] - -Internet-Draft Interactive Audio Codec August 2011 - - - for the current subframe using the gain from the previous subframe: - - log_gain = min(max(2*gain_index - 16, - previous_log_gain + gain_index - 4), 63) - - silk_gains_dequant() (silk_gain_quant.c) dequantizes the gain for the - k'th subframe and converts it into a linear Q16 scale factor via - - gain_Q16[k] = silk_log2lin((0x1D1C71*log_gain>>16) + 2090) - - The function silk_log2lin() (silk_log2lin.c) computes an - approximation of of 2**(inLog_Q7/128.0), where inLog_Q7 is its Q7 - input. Let i = inLog_Q7>>7 be the integer part of inLogQ7 and f = - inLog_Q7&127 be the fractional part. Then, if i < 16, then - - (1<>16)+f)>>7)*(1<>16)+f)*((1<>7) . - -4.2.4.3. Normalized Line Spectral Frequencies - - Normalized Line Spectral Frequencies (LSFs) follow the quantization - gains in the bitstream, and represent the Linear Prediction - Coefficients (LPCs) for the current SILK frame. Once decoded, they - form an increasing list of Q15 values between 0 and 1. These - represent the interleaved zeros on the unit circle between 0 and pi - (hence "normalized") in the standard decomposition of the LPC filter - into a symmetric part and an anti-symmetric part (P and Q in - Section 4.2.4.3.3). Because of non-linear effects in the decoding - process, an implementation SHOULD match the fixed-point arithmetic - described in this section exactly. An encoder SHOULD also use the - same process. - - The normalized LSFs are coded using a two-stage vector quantizer - (VQ). NB and MB frames use an order-10 predictor, while WB frames - use an order-16 predictor, and thus have different sets of tables. - The first VQ stage uses a 32-element codebook, coded with one of the - PDFs in Table 9, depending on the audio bandwidth and the signal type - of the current SILK frame. This yields a single index, I1, for the - entire frame. This indexes an element in a coarse codebook, selects - the PDFs for the second stage of the VQ, and selects the prediction - weights used to remove intra-frame redundancy from the second stage. - The actual codebook elements are listed in Table 18 and Table 19, but - they are not needed until the last stages of reconstructing the LSF - coefficients. - - - - -Valin, et al. Expires February 17, 2012 [Page 31] - -Internet-Draft Interactive Audio Codec August 2011 - - - +-----------+----------+--------------------------------------------+ - | Audio | Signal | PDF | - | Bandwidth | Type | | - +-----------+----------+--------------------------------------------+ - | NB or MB | Inactive | {44, 34, 30, 19, 21, 12, 11, 3, 3, 2, 16, | - | | or | 2, 2, 1, 5, 2, 1, 3, 3, 1, 1, 2, 2, 2, 3, | - | | unvoiced | 1, 9, 9, 2, 7, 2, 1}/256 | - | | | | - | NB or MB | Voiced | {1, 10, 1, 8, 3, 8, 8, 14, 13, 14, 1, 14, | - | | | 12, 13, 11, 11, 12, 11, 10, 10, 11, 8, 9, | - | | | 8, 7, 8, 1, 1, 6, 1, 6, 5}/256 | - | | | | - | WB | Inactive | {31, 21, 3, 17, 1, 8, 17, 4, 1, 18, 16, 4, | - | | or | 2, 3, 1, 10, 1, 3, 16, 11, 16, 2, 2, 3, 2, | - | | unvoiced | 11, 1, 4, 9, 8, 7, 3}/256 | - | | | | - | WB | Voiced | {1, 4, 16, 5, 18, 11, 5, 14, 15, 1, 3, 12, | - | | | 13, 14, 14, 6, 14, 12, 2, 6, 1, 12, 12, | - | | | 11, 10, 3, 10, 5, 1, 1, 1, 3}/256 | - +-----------+----------+--------------------------------------------+ - - Table 9: PDFs for Normalized LSF Index Stage-1 Decoding - - A total of 16 PDFs are available for the LSF residual in the second - stage: the 8 (a...h) for NB and MB frames given in Table 10, and the - 8 (i...p) for WB frames given in Table 11. Which PDF is used for - which coefficient is driven by the index, I1, decoded in the first - stage. Table 12 lists the letter of the corresponding PDF for each - normalized LSF coefficient for NB and MB, and Table 13 lists the same - information for WB. - - - - - - - - - - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 32] - -Internet-Draft Interactive Audio Codec August 2011 - - - +----------+--------------------------------------+ - | Codebook | PDF | - +----------+--------------------------------------+ - | a | {1, 1, 1, 15, 224, 11, 1, 1, 1}/256 | - | | | - | b | {1, 1, 2, 34, 183, 32, 1, 1, 1}/256 | - | | | - | c | {1, 1, 4, 42, 149, 55, 2, 1, 1}/256 | - | | | - | d | {1, 1, 8, 52, 123, 61, 8, 1, 1}/256 | - | | | - | e | {1, 3, 16, 53, 101, 74, 6, 1, 1}/256 | - | | | - | f | {1, 3, 17, 55, 90, 73, 15, 1, 1}/256 | - | | | - | g | {1, 7, 24, 53, 74, 67, 26, 3, 1}/256 | - | | | - | h | {1, 1, 18, 63, 78, 58, 30, 6, 1}/256 | - +----------+--------------------------------------+ - - Table 10: PDFs for NB/MB Normalized LSF Index Stage-2 Decoding - - +----------+---------------------------------------+ - | Codebook | PDF | - +----------+---------------------------------------+ - | i | {1, 1, 1, 9, 232, 9, 1, 1, 1}/256 | - | | | - | j | {1, 1, 2, 28, 186, 35, 1, 1, 1}/256 | - | | | - | k | {1, 1, 3, 42, 152, 53, 2, 1, 1}/256 | - | | | - | l | {1, 1, 10, 49, 126, 65, 2, 1, 1}/256 | - | | | - | m | {1, 4, 19, 48, 100, 77, 5, 1, 1}/256 | - | | | - | n | {1, 1, 14, 54, 100, 72, 12, 1, 1}/256 | - | | | - | o | {1, 1, 15, 61, 87, 61, 25, 4, 1}/256 | - | | | - | p | {1, 7, 21, 50, 77, 81, 17, 1, 1}/256 | - +----------+---------------------------------------+ - - Table 11: PDFs for WB Normalized LSF Index Stage-2 Decoding - - +----+---------------------+ - | I1 | Coefficient | - +----+---------------------+ - | | 0 1 2 3 4 5 6 7 8 9 | - - - -Valin, et al. Expires February 17, 2012 [Page 33] - -Internet-Draft Interactive Audio Codec August 2011 - - - | 0 | a a a a a a a a a a | - | | | - | 1 | b d b c c b c b b b | - | | | - | 2 | c b b b b b b b b b | - | | | - | 3 | b c c c c b c b b b | - | | | - | 4 | c d d d d c c c c c | - | | | - | 5 | a f d d c c c c b b | - | | | - | g | a c c c c c c c c b | - | | | - | 7 | c d g e e e f e f f | - | | | - | 8 | c e f f e f e g e e | - | | | - | 9 | c e e h e f e f f e | - | | | - | 10 | e d d d c d c c c c | - | | | - | 11 | b f f g e f e f f f | - | | | - | 12 | c h e g f f f f f f | - | | | - | 13 | c h f f f f f g f e | - | | | - | 14 | d d f e e f e f e e | - | | | - | 15 | c d d f f e e e e e | - | | | - | 16 | c e e g e f e f f f | - | | | - | 17 | c f e g f f f e f e | - | | | - | 18 | c h e f e f e f f f | - | | | - | 19 | c f e g h g f g f e | - | | | - | 20 | d g h e g f f g e f | - | | | - | 21 | c h g e e e f e f f | - | | | - | 22 | e f f e g g f g f e | - | | | - | 23 | c f f g f g e g e e | - | | | - - - -Valin, et al. Expires February 17, 2012 [Page 34] - -Internet-Draft Interactive Audio Codec August 2011 - - - | 24 | e f f f d h e f f e | - | | | - | 25 | c d e f f g e f f e | - | | | - | 26 | c d c d d e c d d d | - | | | - | 27 | b b c c c c c d c c | - | | | - | 28 | e f f g g g f g e f | - | | | - | 29 | d f f e e e e d d c | - | | | - | 30 | c f d h f f e e f e | - | | | - | 31 | e e f e f g f g f e | - +----+---------------------+ - - Table 12: Codebook Selection for NB/MB Normalized LSF Index Stage 2 - Decoding - - +----+------------------------------------------------+ - | I1 | Coefficient | - +----+------------------------------------------------+ - | | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 | - | | | - | 0 | i i i i i i i i i i i i i i i i | - | | | - | 1 | k l l l l l k k k k k j j j i l | - | | | - | 2 | k n n l p m m n k n m n n m l l | - | | | - | 3 | i k j k k j j j j j i i i i i j | - | | | - | 4 | i o n m o m p n m m m n n m m l | - | | | - | 5 | i l n n m l l n l l l l l l k m | - | | | - | 6 | i i i i i i i i i i i i i i i i | - | | | - | 7 | i k o l p k n l m n n m l l k l | - | | | - | 8 | i o k o o m n m o n m m n l l l | - | | | - | 9 | k j i i i i i i i i i i i i i i | - | | | - | j0 | i j i i i i i i i i i i i i i j | - | | | - | 11 | k k l m n l l l l l l l k k j l | - - - -Valin, et al. Expires February 17, 2012 [Page 35] - -Internet-Draft Interactive Audio Codec August 2011 - - - | 12 | k k l l m l l l l l l l l k j l | - | | | - | 13 | l m m m o m m n l n m m n m l m | - | | | - | 14 | i o m n m p n k o n p m m l n l | - | | | - | 15 | i j i j j j j j j j i i i i j i | - | | | - | 16 | j o n p n m n l m n m m m l l m | - | | | - | 17 | j l l m m l l n k l l n n n l m | - | | | - | 18 | k l l k k k l k j k j k j j j m | - | | | - | 19 | i k l n l l k k k j j i i i i i | - | | | - | 20 | l m l n l l k k j j j j j k k m | - | | | - | 21 | k o l p p m n m n l n l l k l l | - | | | - | 22 | k l n o o l n l m m l l l l k m | - | | | - | 23 | j l l m m m m l n n n l j j j j | - | | | - | 24 | k n l o o m p m m n l m m l l l | - | | | - | 25 | i o j j i i i i i i i i i i i i | - | | | - | 26 | i o o l n k n n l m m p p m m m | - | | | - | 27 | l l p l n m l l l k k l l l k l | - | | | - | 28 | i i j i i i k j k j j k k k j j | - | | | - | 29 | i l k n l l k l k j i i j i i j | - | | | - | 30 | l n n m p n l l k l k k j i j i | - | | | - | 31 | k l n l m l l l k j k o m i i i | - +----+------------------------------------------------+ - - Table 13: Codebook Selection for WB Normalized LSF Index Stage 2 - Decoding - - Decoding the second stage residual proceeds as follows. For each - coefficient, the decoder reads a symbol using the PDF corresponding - to I1 from either Table 12 or Table 13, and subtracts 4 from the - result to given an index in the range -4 to 4, inclusive. If the - - - -Valin, et al. Expires February 17, 2012 [Page 36] - -Internet-Draft Interactive Audio Codec August 2011 - - - index is either -4 or 4, it reads a second symbol using the PDF in - Table 14, and adds the value of this second symbol to the index, - using the same sign. This gives the index, I2[k], a total range of - -10 to 10, inclusive. - - +-------------------------------+ - | PDF | - +-------------------------------+ - | {156, 60, 24, 9, 4, 2, 1}/256 | - +-------------------------------+ - - Table 14: PDF for Normalized LSF Index Extension Decoding - - The decoded indices from both stages are translated back into - normalized LSF coefficients in silk_NLSF_decode() - (silk_NLSF_decode.c). The stage-2 indices represent residuals after - both the first stage of the VQ and a separate backwards-prediction - step. The backwards prediction process in the encoder subtracts a - prediction from each residual formed by a multiple of the coefficient - that follows it. The decoder must undo this process. Table 15 - contains lists of prediction weights for each coefficient. There are - two lists for NB and MB, and another two lists for WB, giving two - possible prediction weights for each coefficient. - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 37] - -Internet-Draft Interactive Audio Codec August 2011 - - - +-------------+-----+-----+-----+-----+ - | Coefficient | A | B | C | D | - +-------------+-----+-----+-----+-----+ - | 0 | 179 | 116 | 175 | 68 | - | | | | | | - | 1 | 138 | 67 | 148 | 62 | - | | | | | | - | 2 | 140 | 82 | 160 | 66 | - | | | | | | - | 3 | 148 | 59 | 176 | 60 | - | | | | | | - | 4 | 151 | 92 | 178 | 72 | - | | | | | | - | 5 | 149 | 72 | 173 | 117 | - | | | | | | - | 6 | 153 | 100 | 174 | 85 | - | | | | | | - | 7 | 151 | 89 | 164 | 90 | - | | | | | | - | 8 | 163 | 92 | 177 | 118 | - | | | | | | - | 9 | | | 174 | 136 | - | | | | | | - | 10 | | | 196 | 151 | - | | | | | | - | 11 | | | 182 | 142 | - | | | | | | - | 12 | | | 198 | 160 | - | | | | | | - | 13 | | | 192 | 142 | - | | | | | | - | 14 | | | 182 | 155 | - +-------------+-----+-----+-----+-----+ - - Table 15: Prediction Weights for Normalized LSF Decoding - - The prediction is undone using the procedure implemented in - silk_NLSF_residual_dequant() (silk_NLSF_decode.c), which is as - follows. Each coefficient selects its prediction weight from one of - the two lists based on the stage-1 index, I1. Table 16 gives the - selections for each coefficient for NB and MB, and Table 17 gives the - selections for WB. Let d_LPC be the order of the codebook, i.e., 10 - for NB and MB, and 16 for WB, and let pred_Q8[k] be the weight for - the k'th coefficient selected by this process for 0 <= k < d_LPC-1. - Then, the stage-2 residual for each coefficient is computed via - - res_Q10[k] = (k+1 < d_LPC ? (res_Q10[k+1]*pred_Q8[k])>>8 : 0) - + ((((I2[k]<<10) + sign(I2[k])*102)*qstep)>>16) , - - - -Valin, et al. Expires February 17, 2012 [Page 38] - -Internet-Draft Interactive Audio Codec August 2011 - - - where qstep is the Q16 quantization step size, which is 11796 for NB - and MB and 9830 for WB (representing step sizes of approximately 0.18 - and 0.15, respectively). - - +----+-------------------+ - | I1 | Coefficient | - +----+-------------------+ - | | 0 1 2 3 4 5 6 7 8 | - | | | - | 0 | A B A A A A A A A | - | | | - | 1 | B A A A A A A A A | - | | | - | 2 | A A A A A A A A A | - | | | - | 3 | B B B A A A A B A | - | | | - | 4 | A B A A A A A A A | - | | | - | 5 | A B A A A A A A A | - | | | - | 6 | B A B B A A A B A | - | | | - | 7 | A B B A A B B A A | - | | | - | 8 | A A B B A B A B B | - | | | - | 9 | A A B B A A B B B | - | | | - | 10 | A A A A A A A A A | - | | | - | 11 | A B A B B B B B A | - | | | - | 12 | A B A B B B B B A | - | | | - | 13 | A B B B B B B B A | - | | | - | 14 | B A B B A B B B B | - | | | - | 15 | A B B B B B A B A | - | | | - | 16 | A A B B A B A B A | - | | | - | 17 | A A B B B A B B B | - | | | - | 18 | A B B A A B B B A | - | | | - | 19 | A A A B B B A B A | - - - -Valin, et al. Expires February 17, 2012 [Page 39] - -Internet-Draft Interactive Audio Codec August 2011 - - - | 20 | A B B A A B A B A | - | | | - | 21 | A B B A A A B B A | - | | | - | 22 | A A A A A B B B B | - | | | - | 23 | A A B B A A A B B | - | | | - | 24 | A A A B A B B B B | - | | | - | 25 | A B B B B B B B A | - | | | - | 26 | A A A A A A A A A | - | | | - | 27 | A A A A A A A A A | - | | | - | 28 | A A B A B B A B A | - | | | - | 29 | A A A B A A A A A | - | | | - | 30 | A A A B B A B A B | - | | | - | 31 | B A B B A B B B B | - +----+-------------------+ - - Table 16: Prediction Weight Selection for NB/MB Normalized LSF - Decoding - - +----+---------------------------------------------+ - | I1 | Coefficient | - +----+---------------------------------------------+ - | | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 | - | | | - | 0 | C C C C C C C C C C C C C C D | - | | | - | 1 | C C C C C C C C C C C C C C C | - | | | - | 2 | C C D C C D D D C D D D D C C | - | | | - | 3 | C C C C C C C C C C C C D C C | - | | | - | 4 | C D D C D C D D C D D D D D C | - | | | - | 5 | C D C C C C C C C C C C C C C | - | | | - | 6 | D C C C C C C C C C C D C D C | - | | | - | 7 | C D D C C C D C D D D C D C D | - - - -Valin, et al. Expires February 17, 2012 [Page 40] - -Internet-Draft Interactive Audio Codec August 2011 - - - | 8 | C D C D D C D C D C D D D D D | - | | | - | 9 | C C C C C C C C C C C C C C D | - | | | - | 10 | C D C C C C C C C C C C C C C | - | | | - | 11 | C C D C D D D D D D D C D C C | - | | | - | 12 | C C D C C D C D C D C C D C C | - | | | - | 13 | C C C C D D C D C D D D D C C | - | | | - | 14 | C D C C C D D C D D D C D D D | - | | | - | 15 | C C D D C C C C C C C C D D C | - | | | - | 16 | C D D C D C D D D D D C D C C | - | | | - | 17 | C C D C C C C D C C D D D C C | - | | | - | 18 | C C C C C C C C C C C C C C D | - | | | - | 19 | C C C C C C C C C C C C D C C | - | | | - | 20 | C C C C C C C C C C C C C C C | - | | | - | 21 | C D C D C D D C D C D C D D C | - | | | - | 22 | C C D D D D C D D C C D D C C | - | | | - | 23 | C D D C D C D C D C C C C D C | - | | | - | 24 | C C C D D C D C D D D D D D D | - | | | - | 25 | C C C C C C C C C C C C C C D | - | | | - | 26 | C D D C C C D D C C D D D D D | - | | | - | 27 | C C C C C D C D D D D C D D D | - | | | - | 28 | C C C C C C C C C C C C C C D | - | | | - | 29 | C C C C C C C C C C C C C C D | - | | | - | 30 | D C C C C C C C C C C D C C C | - | | | - | 31 | C C D C C D D D C C D C C D C | - +----+---------------------------------------------+ - - - -Valin, et al. Expires February 17, 2012 [Page 41] - -Internet-Draft Interactive Audio Codec August 2011 - - - Table 17: Prediction Weight Selection for WB Normalized LSF Decoding - - The spectral distortion introduced by the quantization of each LSF - coefficient varies, so the stage-2 residual is weighted accordingly, - using the low-complexity weighting function proposed in - [laroia-icassp]. The weights are derived directly from the stage-1 - codebook vector. Let cb1_Q8[k] be the k'th entry of the stage-1 - codebook vector from Table 18 or Table 19. Then for 0 <= k < d_LPC - the following expression computes the square of the weight as a Q18 - value: - - - w2_Q18[k] = (1024/(cb1_Q8[k] - cb1_Q8[k-1]) - + 1024/(cb1_Q8[k+1] - cb1_Q8[k])) << 16 , - - - where cb1_Q8[-1] = 0 and cb1_Q8[d_LPC] = 256, and the division is - exact integer division. This is reduced to an unsquared, Q9 value - using the following square-root approximation: - - i = ilog(w2_Q18[k]) - f = (w2_Q18[k]>>(i-8)) & 127 - y = ((i&1) ? 32768 : 46214) >> ((32-i)>>1) - w_Q9[k] = y + ((213*f*y)>>16) - - The cb1_Q8[] vector completely determines these weights, and they may - be tabulated and stored as 13-bit unsigned values (with a range of - 1819 to 5227) to avoid computing them when decoding. The reference - implementation computes them on the fly in - silk_NLSF_VQ_weights_laroia() (silk_NLSF_VQ_weights_laroia.c) and its - caller, to reduce the amount of ROM required. - - +----+----------------------------------------+ - | I1 | Codebook | - +----+----------------------------------------+ - | | 0 1 2 3 4 5 6 7 8 9 | - | | | - | 0 | 12 35 60 83 108 132 157 180 206 228 | - | | | - | 1 | 15 32 55 77 101 125 151 175 201 225 | - | | | - | 2 | 19 42 66 89 114 137 162 184 209 230 | - | | | - | 3 | 12 25 50 72 97 120 147 172 200 223 | - | | | - | 4 | 26 44 69 90 114 135 159 180 205 225 | - | | | - | 5 | 13 22 53 80 106 130 156 180 205 228 | - - - -Valin, et al. Expires February 17, 2012 [Page 42] - -Internet-Draft Interactive Audio Codec August 2011 - - - | 6 | 15 25 44 64 90 115 142 168 196 222 | - | | | - | 7 | 19 24 62 82 100 120 145 168 190 214 | - | | | - | 8 | 22 31 50 79 103 120 151 170 203 227 | - | | | - | 9 | 21 29 45 65 106 124 150 171 196 224 | - | | | - | 10 | 30 49 75 97 121 142 165 186 209 229 | - | | | - | 11 | 19 25 52 70 93 116 143 166 192 219 | - | | | - | 12 | 26 34 62 75 97 118 145 167 194 217 | - | | | - | 13 | 25 33 56 70 91 113 143 165 196 223 | - | | | - | 14 | 21 34 51 72 97 117 145 171 196 222 | - | | | - | 15 | 20 29 50 67 90 117 144 168 197 221 | - | | | - | 16 | 22 31 48 66 95 117 146 168 196 222 | - | | | - | 17 | 24 33 51 77 116 134 158 180 200 224 | - | | | - | 18 | 21 28 70 87 106 124 149 170 194 217 | - | | | - | 19 | 26 33 53 64 83 117 152 173 204 225 | - | | | - | 20 | 27 34 65 95 108 129 155 174 210 225 | - | | | - | 21 | 20 26 72 99 113 131 154 176 200 219 | - | | | - | 22 | 34 43 61 78 93 114 155 177 205 229 | - | | | - | 23 | 23 29 54 97 124 138 163 179 209 229 | - | | | - | 24 | 30 38 56 89 118 129 158 178 200 231 | - | | | - | 25 | 21 29 49 63 85 111 142 163 193 222 | - | | | - | 26 | 27 48 77 103 133 158 179 196 215 232 | - | | | - | 27 | 29 47 74 99 124 151 176 198 220 237 | - | | | - | 28 | 33 42 61 76 93 121 155 174 207 225 | - | | | - | 29 | 29 53 87 112 136 154 170 188 208 227 | - | | | - - - -Valin, et al. Expires February 17, 2012 [Page 43] - -Internet-Draft Interactive Audio Codec August 2011 - - - | 30 | 24 30 52 84 131 150 166 186 203 229 | - | | | - | 31 | 37 48 64 84 104 118 156 177 201 230 | - +----+----------------------------------------+ - - Table 18: Codebook Vectors for NB/MB Normalized LSF Stage 1 Decoding - - +----+------------------------------------------------------------+ - | I1 | Codebook | - +----+------------------------------------------------------------+ - | | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 | - | | | - | 0 | 7 23 38 54 69 85 100 116 131 147 162 178 193 208 223 239 | - | | | - | 1 | 13 25 41 55 69 83 98 112 127 142 157 171 187 203 220 236 | - | | | - | 2 | 15 21 34 51 61 78 92 106 126 136 152 167 185 205 225 240 | - | | | - | 3 | 10 21 36 50 63 79 95 110 126 141 157 173 189 205 221 237 | - | | | - | 4 | 17 20 37 51 59 78 89 107 123 134 150 164 184 205 224 240 | - | | | - | 5 | 10 15 32 51 67 81 96 112 129 142 158 173 189 204 220 236 | - | | | - | 6 | 8 21 37 51 65 79 98 113 126 138 155 168 179 192 209 218 | - | | | - | 7 | 12 15 34 55 63 78 87 108 118 131 148 167 185 203 219 236 | - | | | - | 8 | 16 19 32 36 56 79 91 108 118 136 154 171 186 204 220 237 | - | | | - | 9 | 11 28 43 58 74 89 105 120 135 150 165 180 196 211 226 241 | - | | | - | 10 | 6 16 33 46 60 75 92 107 123 137 156 169 185 199 214 225 | - | | | - | 11 | 11 19 30 44 57 74 89 105 121 135 152 169 186 202 218 234 | - | | | - | 12 | 12 19 29 46 57 71 88 100 120 132 148 165 182 199 216 233 | - | | | - | 13 | 17 23 35 46 56 77 92 106 123 134 152 167 185 204 222 237 | - | | | - | 14 | 14 17 45 53 63 75 89 107 115 132 151 171 188 206 221 240 | - | | | - | 15 | 9 16 29 40 56 71 88 103 119 137 154 171 189 205 222 237 | - | | | - | 16 | 16 19 36 48 57 76 87 105 118 132 150 167 185 202 218 236 | - | | | - | 17 | 12 17 29 54 71 81 94 104 126 136 149 164 182 201 221 237 | - | | | - - - -Valin, et al. Expires February 17, 2012 [Page 44] - -Internet-Draft Interactive Audio Codec August 2011 - - - | 18 | 15 28 47 62 79 97 115 129 142 155 168 180 194 208 223 238 | - | | | - | 19 | 8 14 30 45 62 78 94 111 127 143 159 175 192 207 223 239 | - | | | - | 20 | 17 30 49 62 79 92 107 119 132 145 160 174 190 204 220 235 | - | | | - | 21 | 14 19 36 45 61 76 91 108 121 138 154 172 189 205 222 238 | - | | | - | 22 | 12 18 31 45 60 76 91 107 123 138 154 171 187 204 221 236 | - | | | - | 23 | 13 17 31 43 53 70 83 103 114 131 149 167 185 203 220 237 | - | | | - | 24 | 17 22 35 42 58 78 93 110 125 139 155 170 188 206 224 240 | - | | | - | 25 | 8 15 34 50 67 83 99 115 131 146 162 178 193 209 224 239 | - | | | - | 26 | 13 16 41 66 73 86 95 111 128 137 150 163 183 206 225 241 | - | | | - | 27 | 17 25 37 52 63 75 92 102 119 132 144 160 175 191 212 231 | - | | | - | 28 | 19 31 49 65 83 100 117 133 147 161 174 187 200 213 227 242 | - | | | - | 29 | 18 31 52 68 88 103 117 126 138 149 163 177 192 207 223 239 | - | | | - | 30 | 16 29 47 61 76 90 106 119 133 147 161 176 193 209 224 240 | - | | | - | 31 | 15 21 35 50 61 73 86 97 110 119 129 141 175 198 218 237 | - +----+------------------------------------------------------------+ - - Table 19: Codebook Vectors for WB Normalized LSF Stage 1 Decoding - - Given the stage-1 codebook entry cb1_Q8[], the stage-2 residual - res_Q10[], and their corresponding weights, w_Q9[], the reconstructed - normalized LSF coefficients are - - NLSF_Q15[k] = (cb1_Q8[k]<<7) + (res_Q10[k]<<14)/w_Q9[k] , - - where the division is exact integer division. However, nothing thus - far in the reconstruction process, nor in the quantization process in - the encoder, guarantees that the coefficients are monotonically - increasing and separated well enough to ensure a stable filter. When - using the reference encoder, roughly 2% of frames violate this - constraint. The next section describes a stabilization procedure - used to make these guarantees. - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 45] - -Internet-Draft Interactive Audio Codec August 2011 - - -4.2.4.3.1. Normalized LSF Stabilization - - The normalized LSF stabilization procedure is implemented in - silk_NLSF_stabilize() (silk_NLSF_stabilize.c). This process ensures - that consecutive values of the normalized LSF coefficients, - NLSF_Q15[], are spaced some minimum distance apart (predetermined to - be the 0.01 percentile of a large training set). Table 20 gives the - minimum spacings for NB and MB and those for WB, where row k is the - minimum allowed value of NLSF_Q[k]-NLSF_Q[k-1]. For the purposes of - computing this spacing for the first and last coefficient, - NLSF_Q15[-1] is taken to be 0, and NLSF_Q15[d_LPC] is taken to be - 32768. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 46] - -Internet-Draft Interactive Audio Codec August 2011 - - - +-------------+-----------+-----+ - | Coefficient | NB and MB | WB | - +-------------+-----------+-----+ - | 0 | 250 | 100 | - | | | | - | 1 | 3 | 3 | - | | | | - | 2 | 6 | 40 | - | | | | - | 3 | 3 | 3 | - | | | | - | 4 | 3 | 3 | - | | | | - | 5 | 3 | 3 | - | | | | - | 6 | 4 | 5 | - | | | | - | 7 | 3 | 14 | - | | | | - | 8 | 3 | 14 | - | | | | - | 9 | 3 | 10 | - | | | | - | 10 | 461 | 11 | - | | | | - | 11 | | 3 | - | | | | - | 12 | | 8 | - | | | | - | 13 | | 9 | - | | | | - | 14 | | 7 | - | | | | - | 15 | | 3 | - | | | | - | 16 | | 347 | - +-------------+-----------+-----+ - - Table 20: Minimum Spacing for Normalized LSF Coefficients - - The procedure starts off by trying to make small adjustments which - attempt to minimize the amount of distortion introduced. After 20 - such adjustments, it falls back to a more direct method which - guarantees the constraints are enforced but may require large - adjustments. - - Let NDeltaMin_Q15[k] be the minimum required spacing for the current - audio bandwidth from Table 20. First, the procedure finds the index - - - -Valin, et al. Expires February 17, 2012 [Page 47] - -Internet-Draft Interactive Audio Codec August 2011 - - - i where NLSF_Q15[i] - NLSF_Q15[i-1] - NDeltaMin_Q15[i] is the - smallest, breaking ties by using the lower value of i. If this value - is non-negative, then the stabilization stops; the coefficients - satisfy all the constraints. Otherwise, if i == 0, it sets - NLSF_Q15[0] to NDeltaMin_Q15[0], and if i == d_LPC, it sets - NLSF_Q15[d_LPC-1] to (32768 - NDeltaMin_Q15[d_LPC]). For all other - values of i, both NLSF_Q15[i-1] and NLSF_Q15[i] are updated as - follows: - - i-1 - __ - min_center_Q15 = (NDeltaMin[i]>>1) + \ NDeltaMin[k] - /_ - k=0 - d_LPC - __ - max_center_Q15 = 32768 - (NDeltaMin[i]>>1) - \ NDeltaMin[k] - /_ - k=i+1 - center_freq_Q15 = clamp(min_center_Q15[i], - (NLSF_Q15[i-1] + NLSF_Q15[i] + 1)>>1, - max_center_Q15[i]) - - NLSF_Q15[i-1] = center_freq_Q15 - (NDeltaMin_Q15[i]>>1) - - NLSF_Q15[i] = NLSF_Q15[i-1] + NDeltaMin_Q15[i] . - - Then the procedure repeats again, until it has executed 20 times, or - until it stops because the coefficients satisfy all the constraints. - - After the 20th repetition of the above, the following fallback - procedure executes once. First, the values of NLSF_Q15[k] for - 0 <= k < d_LPC are sorted in ascending order. Then for each value of - k from 0 to d_LPC-1, NLSF_Q15[k] is set to - - max(NLSF_Q15[k], NLSF_Q15[k-1] + NDeltaMin_Q15[k]) . - - Next, for each value of k from d_LPC-1 down to 0, NLSF_Q15[k] is set - to - - min(NLSF_Q15[k], NLSF_Q15[k+1] - NDeltaMin_Q15[k+1]) . - -4.2.4.3.2. Normalized LSF Interpolation - - For 20 ms SILK frames, the first half of the frame (i.e., the first - two sub-frames) may use normalized LSF coefficients that are - interpolated between the decoded LSFs for the previous frame and the - current frame. A Q2 interpolation factor follows the LSF coefficient - - - -Valin, et al. Expires February 17, 2012 [Page 48] - -Internet-Draft Interactive Audio Codec August 2011 - - - indices in the bitstream, which is decoded using the PDF in Table 21. - This happens in silk_decode_indices() (silk_decode_indices.c). For - the first frame after a decoder reset, when no prior LSF coefficients - are available, the decoder still decodes this factor, but ignores its - value and always uses 4 instead. For 10 ms SILK frames, this factor - is not stored at all. - - +---------------------------+ - | PDF | - +---------------------------+ - | {13, 22, 29, 11, 181}/256 | - +---------------------------+ - - Table 21: PDF for Normalized LSF Interpolation Index - - Let n2_Q15[k] be the normalized LSF coefficients decoded by the - procedure in Section 4.2.4.3, n0_Q15[k] be the LSF coefficients - decoded for the prior frame, and w_Q2 be the interpolation factor. - Then the normalized LSF coefficients used for the first half of a - 20 ms frame, n1_Q15[k], are - - n1_Q15[k] = n0_Q15[k] + (w_Q2*(n2_Q15[k] - n0_Q15[k]) >> 2) . - - This interpolation is performed in silk_decode_parameters() - (silk_decode_parameters.c). - -4.2.4.3.3. Converting Normalized LSF Coefficients to LPCs - - Any LPC filter A(z) can be split into a symmetric part P(z) and an - anti-symmetric part Q(z) such that - - d_LPC - __ -k 1 - A(z) = 1 - \ a[k] * z = - * (P(z) + Q(z)) - /_ 2 - k=1 - - with - - -d_LPC-1 -1 - P(z) = A(z) + z * A(z ) - - -d_LPC-1 -1 - Q(z) = A(z) - z * A(z ) . - - The even normalized LSF coefficients correspond to a pair of - conjugate roots of P(z), while the odd coefficients correspond to a - pair of conjugate roots of Q(z), all of which lie on the unit circle. - - - -Valin, et al. Expires February 17, 2012 [Page 49] - -Internet-Draft Interactive Audio Codec August 2011 - - - In addition, P(z) has a root at pi and Q(z) has a root at 0. Thus, - they may be reconstructed mathematically from a set of normalized LSF - coefficients, n[k], as - - d_LPC/2-1 - -1 ___ -1 -2 - P(z) = (1 + z ) * | | (1 - 2*cos(pi*n[2*k])*z + z ) - k=0 - - d_LPC/2-1 - -1 ___ -1 -2 - Q(z) = (1 - z ) * | | (1 - 2*cos(pi*n[2*k+1])*z + z ) - k=0 - - However, SILK performs this reconstruction using a fixed-point - approximation so that all decoders can reproduce it in a bit-exact - manner to avoid prediction drift. The function silk_NLSF2A() - (silk_NLSF2A.c) implements this procedure. - - To start, it approximates cos(pi*n[k]) using a table lookup with - linear interpolation. The encoder SHOULD use the inverse of this - piecewise linear approximation, rather than true the inverse of the - cosine function, when deriving the normalized LSF coefficients. - - The top 7 bits of each normalized LSF coefficient index a value in - the table, and the next 8 bits interpolate between it and the next - value. Let i = n[k]>>8 be the integer index and f = n[k]&255 be the - fractional part of a given coefficient. Then the approximated - cosine, c_Q17[k], is - - c_Q17[k] = (cos_Q13[i]*256 + (cos_Q13[i+1]-cos_Q13[i])*f + 8) >> 4 , - - where cos_Q13[i] is the corresponding entry of Table 22. - - +-----+-------+-------+-------+-------+ - | | 0 | 1 | 2 | 3 | - +-----+-------+-------+-------+-------+ - | 0 | 8192 | 8190 | 8182 | 8170 | - | | | | | | - | 4 | 8152 | 8130 | 8104 | 8072 | - | | | | | | - | 8 | 8034 | 7994 | 7946 | 7896 | - | | | | | | - | 12 | 7840 | 7778 | 7714 | 7644 | - | | | | | | - | 16 | 7568 | 7490 | 7406 | 7318 | - | | | | | | - | 20 | 7226 | 7128 | 7026 | 6922 | - - - -Valin, et al. Expires February 17, 2012 [Page 50] - -Internet-Draft Interactive Audio Codec August 2011 - - - | 24 | 6812 | 6698 | 6580 | 6458 | - | | | | | | - | 28 | 6332 | 6204 | 6070 | 5934 | - | | | | | | - | 32 | 5792 | 5648 | 5502 | 5352 | - | | | | | | - | 36 | 5198 | 5040 | 4880 | 4718 | - | | | | | | - | 40 | 4552 | 4382 | 4212 | 4038 | - | | | | | | - | 44 | 3862 | 3684 | 3502 | 3320 | - | | | | | | - | 48 | 3136 | 2948 | 2760 | 2570 | - | | | | | | - | 52 | 2378 | 2186 | 1990 | 1794 | - | | | | | | - | 56 | 1598 | 1400 | 1202 | 1002 | - | | | | | | - | 60 | 802 | 602 | 402 | 202 | - | | | | | | - | 64 | 0 | -202 | -402 | -602 | - | | | | | | - | 68 | -802 | -1002 | -1202 | -1400 | - | | | | | | - | 72 | -1598 | -1794 | -1990 | -2186 | - | | | | | | - | 76 | -2378 | -2570 | -2760 | -2948 | - | | | | | | - | 80 | -3136 | -3320 | -3502 | -3684 | - | | | | | | - | 84 | -3862 | -4038 | -4212 | -4382 | - | | | | | | - | 88 | -4552 | -4718 | -4880 | -5040 | - | | | | | | - | 92 | -5198 | -5352 | -5502 | -5648 | - | | | | | | - | 96 | -5792 | -5934 | -6070 | -6204 | - | | | | | | - | 100 | -6332 | -6458 | -6580 | -6698 | - | | | | | | - | 104 | -6812 | -6922 | -7026 | -7128 | - | | | | | | - | 108 | -7226 | -7318 | -7406 | -7490 | - | | | | | | - | 112 | -7568 | -7644 | -7714 | -7778 | - | | | | | | - | 116 | -7840 | -7896 | -7946 | -7994 | - | | | | | | - - - -Valin, et al. Expires February 17, 2012 [Page 51] - -Internet-Draft Interactive Audio Codec August 2011 - - - | 120 | -8034 | -8072 | -8104 | -8130 | - | | | | | | - | 124 | -8152 | -8170 | -8182 | -8190 | - | | | | | | - | 128 | -8192 | | | | - +-----+-------+-------+-------+-------+ - - Table 22: Q13 Cosine Table for LSF Conversion - - Given the list of cosine values, silk_NLSF2A_find_poly() - (silk_NLSF2A.c) computes the coefficients of P and Q, described here - via a simple recurrence. Let p_Q16[k][j] and q_Q16[k][j] be the - coefficients of the products of the first (k+1) root pairs for P and - Q, with j indexing the coefficient number. Only the first (k+2) - coefficients are needed, as the products are symmetric. Let - p_Q16[0][0] = q_Q16[0][0] = 1<<16, p_Q16[0][1] = -c_Q17[0], - q_Q16[0][1] = -c_Q17[1], and d2 = d_LPC/2. As boundary conditions, - assume p_Q16[k][j] = q_Q16[k][j] = 0 for all j < 0. Also, assume - p_Q16[k][k+2] = p_Q16[k][k] and q_Q16[k][k+2] = q_Q16[k][k] (because - of the symmetry). Then, for 0 >16) , - - q_Q16[k][j] = q_Q16[k-1][j] + q_Q16[k-1][j-2] - - ((c_Q17[2*k+1]*q_Q16[k-1][j-1] + 32768)>>16) . - - The use of Q17 values for the cosine terms in an otherwise Q16 - expression implicitly scales them by a factor of 2. The - multiplications in this recurrence may require up to 48 bits of - precision in the result to avoid overflow. In practice, each row of - the recurrence only depends on the previous row, so an implementation - does not need to store all of them. - - silk_NLSF2A() uses the values from the last row of this recurrence to - reconstruct a 32-bit version of the LPC filter (without the leading - 1.0 coefficient), a32_Q17[k], 0 <= k < d2: - - a32_Q17[k] = -(q_Q16[d2-1][k+1] - q_Q16[d2-1][k]) - - (p_Q16[d2-1][k+1] + p_Q16[d2-1][k])) , - - a32_Q17[d_LPC-k-1] = (q_Q16[d2-1][k+1] - q_Q16[d2-1][k]) - - (p_Q16[d2-1][k+1] + p_Q16[d2-1][k])) . - - The sum and difference of two terms from each of the p_Q16 and q_Q16 - coefficient lists reflect the (1 + z**-1) and (1 - z**-1) factors of - P and Q, respectively. The promotion of the expression from Q16 to - Q17 implicitly scales the result by 1/2. - - - -Valin, et al. Expires February 17, 2012 [Page 52] - -Internet-Draft Interactive Audio Codec August 2011 - - -4.2.4.3.4. Limiting the Range of the LPC Coefficients - - The a32_Q17[] coefficients are too large to fit in a 16-bit value, - which significantly increases the cost of applying this filter in - fixed-point decoders. Reducing them to Q12 precision doesn't incur - any significant quality loss, but still does not guarantee they will - fit. silk_NLSF2A() applies up to 10 rounds of bandwidth expansion to - limit the dynamic range of these coefficients. Even floating-point - decoders SHOULD perform these steps, to avoid mismatch. - - For each round, the process first finds the index k such that - abs(a32_Q17[k]) is the largest, breaking ties by using the lower - value of k. Then, it computes the corresponding Q12 precision value, - maxabs_Q12, subject to an upper bound to avoid overflow in subsequent - computations: - - maxabs_Q12 = min((maxabs_Q17 + 16) >> 5, 163838) . - - If this is larger than 32767, the procedure derives the chirp factor, - sc_Q16[0], to use in the bandwidth expansion as - - (maxabs_Q12 - 32767) << 14 - sc_Q16[0] = 65470 - -------------------------- , - (maxabs_Q12 * (k+1)) >> 2 - - where the division here is exact integer division. This is an - approximation of the chirp factor needed to reduce the target - coefficient to 32767, though it is both less than 0.999 and, for - k > 0 when maxabs_Q12 is much greater than 32767, still slightly too - large. - - silk_bwexpander_32() (silk_bwexpander_32.c) performs the bandwidth - expansion (again, only when maxabs_Q12 is greater than 32767) using - the following recurrence: - - a32_Q17[k] = (a32_Q17[k]*sc_Q16[k]) >> 16 - - sc_Q16[k+1] = (sc_Q16[0]*sc_Q16[k] + 32768) >> 16 - - The first multiply may require up to 48 bits of precision in the - result to avoid overflow. The second multiply must be unsigned to - avoid overflow with only 32 bits of precision. The reference - implementation uses a slightly more complex formulation that avoids - the 32-bit overflow using signed multiplication, but is otherwise - equivalent. - - After 10 rounds of bandwidth expansion are performed, they are simply - saturated to 16 bits: - - - -Valin, et al. Expires February 17, 2012 [Page 53] - -Internet-Draft Interactive Audio Codec August 2011 - - - a32_Q17[k] = clamp(-32768, (a32_Q17[k]+16) >> 5, 32767) << 5 . - - Because this performs the actual saturation in the Q12 domain, but - converts the coefficients back to the Q17 domain for the purposes of - prediction gain limiting, this step must be performed after the 10th - round of bandwidth expansion, regardless of whether or not the Q12 - version of any of the coefficients still overflow a 16-bit integer. - This saturation is not performed if maxabs_Q12 drops to 32767 or less - prior to the 10th round. - -4.2.4.3.5. Limiting the Prediction Gain of the LPC Filter - - Even if the Q12 coefficients would fit, the resulting filter may - still have a significant gain (especially for voiced sounds), making - the filter unstable. silk_NLSF2A() applies up to 18 additional rounds - of bandwidth expansion to limit the prediction gain. Instead of - controlling the amount of bandwidth expansion using the prediction - gain itself (which may diverge to infinity for an unstable filter), - silk_NLSF2A() uses LPC_inverse_pred_gain_QA() - (silk_LPC_inv_pred_gain.c) to compute the reflection coefficients - associated with the filter. The filter is stable if and only if the - magnitude of these coefficients is sufficiently less than one. The - reflection coefficients, rc[k], can be computed using a simple - Levinson recurrence, initialized with the LPC coefficients a[d_LPC- - 1][n] = a[n], and then updated via - - rc[k] = -a[k][k] , - - a[k][n] - a[k][k-n-1]*rc[k] - a[k-1][n] = --------------------------- . - 2 - 1 - rc[k] - - However, LPC_inverse_pred_gain_QA() approximates this using fixed- - point arithmetic to guarantee reproducible results across platforms - and implementations. It is important to run on the real Q12 - coefficients that will be used during reconstruction, because small - changes in the coefficients can make a stable filter unstable, but - increasing the precision back to Q16 allows more accurate computation - of the reflection coefficients. Thus, let - - a32_Q16[d_LPC-1][n] = ((a32_Q17[n] + 16) >> 5) << 4 - - be the Q16 representation of the Q12 version of the LPC coefficients - that will eventually be used. Then for each k from d_LPC-1 down to - 0, if abs(a32_Q16[k][k]) > 65520, the filter is unstable and the - recurrence stops. Otherwise, the row k-1 of a32_Q16 is computed from - row k as - - - -Valin, et al. Expires February 17, 2012 [Page 54] - -Internet-Draft Interactive Audio Codec August 2011 - - - rc_Q31[k] = -a32_Q16[k][k] << 15 , - - div_Q30[k] = (1<<30) - 1 - (rc_Q31[k]*rc_Q31[k] >> 32) , - - b1[k] = ilog(div_Q30[k]) - 16 , - - (1<<29) - 1 - inv_Qb1[k] = ----------------------- , - div_Q30[k] >> (b1[k]+1) - - err_Q29[k] = (1<<29) - - ((div_Q30[k]<<(15-b1[k]))*inv_Qb1[k] >> 16) , - - mul_Q16[k] = ((inv_Qb1[k] << 16) - + (err_Q29[k]*inv_Qb1[k] >> 13)) >> b1[k] , - - b2[k] = ilog(mul_Q16[k]) - 15 , - - t_Q16[k-1][n] = a32_Q16[k][n] - - ((a32_Q16[k][k-n-1]*rc_Q31[k] >> 32) << 1) , - - a32_Q16[k-1][n] = ((t_Q16[k-1][n] * - (mul_Q16[k] << (16-b2[k]))) >> 32) << b2[k] . - - Here, rc_Q30[k] are the reflection coefficients. div_Q30[k] is the - denominator for each iteration, and mul_Q16[k] is its multiplicative - inverse. inv_Qb1[k], which ranges from 16384 to 32767, is a low- - precision version of that inverse (with b1[k] fractional bits, where - b1[k] ranges from 3 to 14). err_Q29[k] is the residual error, ranging - from -32392 to 32763, which is used to improve the accuracy. - t_Q16[k-1][n], 0 <= n < k, are the numerators for the next row of - coefficients in the recursion, and a32_Q16[k-1][n] is the final - version of that row. Every multiply in this procedure except the one - used to compute mul_Q16[k] requires more than 32 bits of precision, - but otherwise all intermediate results fit in 32 bits or less. In - practice, because each row only depends on the next one, an - implementation does not need to store them all. If - abs(a32_Q16[k][k]) <= 65520 for 0 <= k < d_LPC, then the filter is - considered stable. - - On round i, 1 <= i <= 18, if the filter passes this stability check, - then this procedure stops, and the final LPC coefficients to use for - reconstruction are - - a_Q12[k] = (a32_Q17[k] + 16) >> 5 . - - Otherwise, a round of bandwidth expansion is applied using the same - procedure as in Section 4.2.4.3.4, with - - - -Valin, et al. Expires February 17, 2012 [Page 55] - -Internet-Draft Interactive Audio Codec August 2011 - - - sc_Q16[0] = 65536 - i*(i+9) . - - If, after the 18th round, the filter still fails the stability check, - then a_Q12[k] is set to 0 for all k. - -4.2.4.4. Long-Term Prediction (LTP) Parameters - - After the normalized LSF indices and, for 20 ms frames, the LSF - interpolation index, voiced frames (see Section 4.2.4.1) include - additional Long-Term Prediction (LTP) parameters. There is one - primary lag index for each SILK frame, but this is refined to produce - a separate lag index per subframe using a vector quantizer. Each - subframe also gets its own prediction gain coefficient. - -4.2.4.4.1. Pitch Lags - - The primary lag index is coded either relative to the primary lag of - the prior frame or as an absolute index. Like the quantization - gains, the first LBRR frame, an LBRR frame where the previous LBRR - frame was not coded, or the first regular SILK frame in an Opus frame - all code the pitch lag as an absolute index. When the prior frame - was not voiced, this also forces absolute coding. - - With absolute coding, the primary pitch lag may range from 2 ms - (inclusive) up to 18 ms (exclusive), corresponding to pitches from - 500 Hz down to 55.6 Hz, respectively. It is comprised of a high part - and a low part, where the decoder reads the high part using the 32- - entry codebook in Table 23 and the low part using the codebook - corresponding to the current audio bandwidth from Table 24. The - final primary pitch lag is then - - lag = lag_high*lag_scale + lag_low + lag_min - - where lag_high is the high part, lag_low is the low part, and - lag_scale and lag_min are the values from the "Scale" and "Minimum - Lag" columns of Table 24, respectively. - - +-------------------------------------------------------------------+ - | PDF | - +-------------------------------------------------------------------+ - | {3, 3, 6, 11, 21, 30, 32, 19, 11, 10, 12, 13, 13, 12, 11, 9, 8, | - | 7, 6, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1}/256 | - +-------------------------------------------------------------------+ - - Table 23: PDF for High Part of Primary Pitch Lag - - - - - - -Valin, et al. Expires February 17, 2012 [Page 56] - -Internet-Draft Interactive Audio Codec August 2011 - - - +------------+------------------------+-------+----------+----------+ - | Audio | PDF | Scale | Minimum | Maximum | - | Bandwidth | | | Lag | Lag | - +------------+------------------------+-------+----------+----------+ - | NB | {64, 64, 64, 64}/256 | 4 | 16 | 144 | - | | | | | | - | MB | {43, 42, 43, 43, 42, | 6 | 24 | 216 | - | | 43}/256 | | | | - | | | | | | - | WB | {32, 32, 32, 32, 32, | 8 | 32 | 288 | - | | 32, 32, 32}/256 | | | | - +------------+------------------------+-------+----------+----------+ - - Table 24: PDF for Low Part of Primary Pitch Lag - - All frames that do not use absolute coding for the primary lag index - use relative coding instead. The decoder reads a single delta value - using the 21-entry PDF in Table 25. If the resulting value is zero, - it falls back to the absolute coding procedure from the prior - paragraph. Otherwise, the final primary pitch lag is then - - lag = lag_prev + (delta_lag_index - 9) - - where lag_prev is the primary pitch lag from the previous frame and - delta_lag_index is the value just decoded. This allows a per-frame - change in the pitch lag of -8 to +11 samples. The decoder does no - clamping at this point, so this value can fall outside the range of - 2 ms to 18 ms, and the decoder must use this unclamped value when - using relative coding in the next SILK frame (if any). However, - because an Opus frame can use relative coding for at most two - consecutive SILK frames, integer overflow should not be an issue. - - +-------------------------------------------------------------------+ - | PDF | - +-------------------------------------------------------------------+ - | {46, 2, 2, 3, 4, 6, 10, 15, 26, 38, 30, 22, 15, 10, 7, 6, 4, 4, | - | 2, 2, 2}/256 | - +-------------------------------------------------------------------+ - - Table 25: PDF for Pitch Lag Change - - After the primary pitch lag, a "pitch contour", stored as a single - entry from one of four small VQ codebooks, gives lag offsets for each - subframe in the current SILK frame. The codebook index is decoded - using one of the PDFs in Table 26 depending on the current frame size - and audio bandwidth. Table 27 through Table 30 give the - corresponding offsets to apply to the primary pitch lag for each - subframe given the decoded codebook index. - - - -Valin, et al. Expires February 17, 2012 [Page 57] - -Internet-Draft Interactive Audio Codec August 2011 - - - +-----------+--------+----------+-----------------------------------+ - | Audio | SILK | Codebook | PDF | - | Bandwidth | Frame | Size | | - | | Size | | | - +-----------+--------+----------+-----------------------------------+ - | NB | 10 ms | 3 | {143, 50, 63}/256 | - | | | | | - | NB | 20 ms | 11 | {68, 12, 21, 17, 19, 22, 30, 24, | - | | | | 17, 16, 10}/256 | - | | | | | - | MB or WB | 10 ms | 12 | {91, 46, 39, 19, 14, 12, 8, 7, 6, | - | | | | 5, 5, 4}/256 | - | | | | | - | MB or WB | 20 ms | 34 | {33, 22, 18, 16, 15, 14, 14, 13, | - | | | | 13, 10, 9, 9, 8, 6, 6, 6, 5, 4, | - | | | | 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, | - | | | | 2, 1, 1, 1, 1} | - +-----------+--------+----------+-----------------------------------+ - - Table 26: PDFs for Subframe Pitch Contour - - +-------+------------------+ - | Index | Subframe Offsets | - +-------+------------------+ - | 0 | 0 0 | - | | | - | 1 | 1 0 | - | | | - | 2 | 0 1 | - +-------+------------------+ - - Table 27: Codebook Vectors for Subframe Pitch Contour: NB, 10 ms - Frames - - - - - - - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 58] - -Internet-Draft Interactive Audio Codec August 2011 - - - +-------+------------------+ - | Index | Subframe Offsets | - +-------+------------------+ - | 0 | 0 0 0 0 | - | | | - | 1 | 2 1 0 -1 | - | | | - | 2 | -1 0 1 2 | - | | | - | 3 | -1 0 0 1 | - | | | - | 4 | -1 0 0 0 | - | | | - | 5 | 0 0 0 1 | - | | | - | 6 | 0 0 1 1 | - | | | - | 7 | 1 1 0 0 | - | | | - | 8 | 1 0 0 0 | - | | | - | 9 | 0 0 0 -1 | - | | | - | 10 | 1 0 0 -1 | - +-------+------------------+ - - Table 28: Codebook Vectors for Subframe Pitch Contour: NB, 20 ms - Frames - - - - - - - - - - - - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 59] - -Internet-Draft Interactive Audio Codec August 2011 - - - +-------+------------------+ - | Index | Subframe Offsets | - +-------+------------------+ - | 0 | 0 0 | - | | | - | 1 | 0 1 | - | | | - | 2 | 1 0 | - | | | - | 3 | -1 1 | - | | | - | 4 | 1 -1 | - | | | - | 5 | -1 2 | - | | | - | 6 | 2 -1 | - | | | - | 7 | -2 2 | - | | | - | 8 | 2 -2 | - | | | - | 9 | -2 3 | - | | | - | 10 | 3 -2 | - | | | - | 11 | -3 3 | - +-------+------------------+ - - Table 29: Codebook Vectors for Subframe Pitch Contour: MB or WB, - 10 ms Frames - - +-------+------------------+ - | Index | Subframe Offsets | - +-------+------------------+ - | 0 | 0 0 0 0 | - | | | - | 1 | 0 0 1 1 | - | | | - | 2 | 1 1 0 0 | - | | | - | 3 | -1 0 0 0 | - | | | - | 4 | 0 0 0 1 | - | | | - | 5 | 1 0 0 0 | - | | | - | 6 | -1 0 0 1 | - | | | - - - -Valin, et al. Expires February 17, 2012 [Page 60] - -Internet-Draft Interactive Audio Codec August 2011 - - - | 7 | 0 0 0 -1 | - | | | - | 8 | -1 0 1 2 | - | | | - | 9 | 1 0 0 -1 | - | | | - | 10 | -2 -1 1 2 | - | | | - | 11 | 2 1 0 -1 | - | | | - | 12 | -2 0 0 2 | - | | | - | 13 | -2 0 1 3 | - | | | - | 14 | 2 1 -1 -2 | - | | | - | 15 | -3 -1 1 3 | - | | | - | 16 | 2 0 0 -2 | - | | | - | 17 | 3 1 0 -2 | - | | | - | 18 | -3 -1 2 4 | - | | | - | 19 | -4 -1 1 4 | - | | | - | 20 | 3 1 -1 -3 | - | | | - | 21 | -4 -1 2 5 | - | | | - | 22 | 4 2 -1 -3 | - | | | - | 23 | 4 1 -1 -4 | - | | | - | 24 | -5 -1 2 6 | - | | | - | 25 | 5 2 -1 -4 | - | | | - | 26 | -6 -2 2 6 | - | | | - | 27 | -5 -2 2 5 | - | | | - | 28 | 6 2 -1 -5 | - | | | - | 29 | -7 -2 3 8 | - | | | - | 30 | 6 2 -2 -6 | - | | | - - - -Valin, et al. Expires February 17, 2012 [Page 61] - -Internet-Draft Interactive Audio Codec August 2011 - - - | 31 | 5 2 -2 -5 | - | | | - | 32 | 8 3 -2 -7 | - | | | - | 33 | -9 -3 3 9 | - +-------+------------------+ - - Table 30: Codebook Vectors for Subframe Pitch Contour: MB or WB, - 20 ms Frames - - The final pitch lag for each subframe is assembled in - silk_decode_pitch() (silk_decode_pitch.c). Let lag be the primary - pitch lag for the current SILK frame, contour_index be index of the - VQ codebook, and lag_cb[contour_index][k] be the corresponding entry - of the codebook from the appropriate table given above for the k'th - subframe. Then the final pitch lag for that subframe is - - pitch_lags[k] = clamp(lag_min, lag + lag_cb[contour_index][k], - lag_max) - - where lag_min and lag_max are the values from the "Minimum Lag" and - "Maximum Lag" columns of Table 24, respectively. - -4.2.4.4.2. LTP Filter Coefficients - - SILK can use a separate 5-tap pitch filter for each subframe. It - selects the filter to use from one of three codebooks. All of the - subframes in a SILK frame must choose their filter from the same - codebook, itself chosen via an explicitly-coded "periodicity index". - This immediately follows the subframe pitch lags, and is coded using - the 3-entry PDF from Table 31. - - +------------------+ - | PDF | - +------------------+ - | {77, 80, 99}/256 | - +------------------+ - - Table 31: Periodicity Index PDF - - The index of the filter for use for each subframe follows. They are - all coded using the PDF from Table 32 corresponding to the - periodicity index. Table 33 through Table 35 contain the - corresponding filter taps as signed Q7 integers. - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 62] - -Internet-Draft Interactive Audio Codec August 2011 - - - +-------------+----------+------------------------------------------+ - | Periodicity | Codebook | PDF | - | Index | Size | | - +-------------+----------+------------------------------------------+ - | 0 | 8 | {185, 15, 13, 13, 9, 9, 6, 6}/256 | - | | | | - | 1 | 16 | {57, 34, 21, 20, 15, 13, 12, 13, 10, 10, | - | | | 9, 10, 9, 8, 7, 8}/256 | - | | | | - | 2 | 32 | {15, 16, 14, 12, 12, 12, 11, 11, 11, 10, | - | | | 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 6, 6, 5, | - | | | 4, 5, 4, 4, 4, 3, 4, 3, 2}/256 | - +-------------+----------+------------------------------------------+ - - Table 32: Periodicity Index PDF - - +-------+---------------------+ - | Index | Filter Taps (Q7) | - +-------+---------------------+ - | 0 | 4 6 24 7 5 | - | | | - | 1 | 0 0 2 0 0 | - | | | - | 2 | 12 28 41 13 -4 | - | | | - | 3 | -9 15 42 25 14 | - | | | - | 4 | 1 -2 62 41 -9 | - | | | - | 5 | -10 37 65 -4 3 | - | | | - | 6 | -6 4 66 7 -8 | - | | | - | 7 | 16 14 38 -3 33 | - +-------+---------------------+ - - Table 33: Codebook Vectors for LTP Filter, Periodicity Index 0 - - - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 63] - -Internet-Draft Interactive Audio Codec August 2011 - - - +-------+---------------------+ - | Index | Filter Taps (Q7) | - +-------+---------------------+ - | 0 | 13 22 39 23 12 | - | | | - | 1 | -1 36 64 27 -6 | - | | | - | 2 | -7 10 55 43 17 | - | | | - | 3 | 1 1 8 1 1 | - | | | - | 4 | 6 -11 74 53 -9 | - | | | - | 5 | -12 55 76 -12 8 | - | | | - | 6 | -3 3 93 27 -4 | - | | | - | 7 | 26 39 59 3 -8 | - | | | - | 8 | 2 0 77 11 9 | - | | | - | 9 | -8 22 44 -6 7 | - | | | - | 10 | 40 9 26 3 9 | - | | | - | 11 | -7 20 101 -7 4 | - | | | - | 12 | 3 -8 42 26 0 | - | | | - | 13 | -15 33 68 2 23 | - | | | - | 14 | -2 55 46 -2 15 | - | | | - | 15 | 3 -1 21 16 41 | - +-------+---------------------+ - - Table 34: Codebook Vectors for LTP Filter, Periodicity Index 1 - - +-------+---------------------+ - | Index | Filter Taps (Q7) | - +-------+---------------------+ - | 0 | -6 27 61 39 5 | - | | | - | 1 | -11 42 88 4 1 | - | | | - | 2 | -2 60 65 6 -4 | - | | | - | 3 | -1 -5 73 56 1 | - - - -Valin, et al. Expires February 17, 2012 [Page 64] - -Internet-Draft Interactive Audio Codec August 2011 - - - | 4 | -9 19 94 29 -9 | - | | | - | 5 | 0 12 99 6 4 | - | | | - | 6 | 8 -19 102 46 -13 | - | | | - | 7 | 3 2 13 3 2 | - | | | - | 8 | 9 -21 84 72 -18 | - | | | - | 9 | -11 46 104 -22 8 | - | | | - | 10 | 18 38 48 23 0 | - | | | - | 11 | -16 70 83 -21 11 | - | | | - | 12 | 5 -11 117 22 -8 | - | | | - | 13 | -6 23 117 -12 3 | - | | | - | 14 | 3 -8 95 28 4 | - | | | - | 15 | -10 15 77 60 -15 | - | | | - | 16 | -1 4 124 2 -4 | - | | | - | 17 | 3 38 84 24 -25 | - | | | - | 18 | 2 13 42 13 31 | - | | | - | 19 | 21 -4 56 46 -1 | - | | | - | 20 | -1 35 79 -13 19 | - | | | - | 21 | -7 65 88 -9 -14 | - | | | - | 22 | 20 4 81 49 -29 | - | | | - | 23 | 20 0 75 3 -17 | - | | | - | 24 | 5 -9 44 92 -8 | - | | | - | 25 | 1 -3 22 69 31 | - | | | - | 26 | -6 95 41 -12 5 | - | | | - | 27 | 39 67 16 -4 1 | - | | | - - - -Valin, et al. Expires February 17, 2012 [Page 65] - -Internet-Draft Interactive Audio Codec August 2011 - - - | 28 | 0 -6 120 55 -36 | - | | | - | 29 | -13 44 122 4 -24 | - | | | - | 30 | 81 5 11 3 7 | - | | | - | 31 | 2 0 9 10 88 | - +-------+---------------------+ - - Table 35: Codebook Vectors for LTP Filter, Periodicity Index 2 - -4.2.4.4.3. LTP Scaling Parameter - - After the LTP filter coefficients, an LTP scaling parameter may - appear. This allows the encoder to trade-off the prediction gain - between packets against the recovery time after packet loss. Like - the quantization gains, only the first LBRR frame in an Opus frame, - an LBRR frame where the prior LBRR frame was not coded, and the first - regular SILK frame in an Opus frame include this field, and, like all - of the other LTP parameters, only for frames that are also voiced. - Unlike absolute-coding for pitch lags, a SILK frame will not include - this field just because the prior frame was not voiced. - - If present, the value is coded using the 3-entry PDF in Table 36. - The three possible values represent Q14 scale factors of 15565, - 12288, and 8192, respectively (corresponding to approximately 0.95, - 0.75, and 0.5). Frames that do not code the scaling parameter use - the default factor of 15565 (0.95). - - +-------------------+ - | PDF | - +-------------------+ - | {128, 64, 64}/256 | - +-------------------+ - - Table 36: PDF for LTP Scaling Parameter - -4.2.4.5. Linear Congruential Generator (LCG) Seed - - SILK uses a linear congruential generator (LCG) to inject - pseudorandom noise into the quantized excitation. To ensure - synchronization of this process between the encoder and decoder, each - SILK frame stores a 2-bit seed after the LTP parameters (if any). - The encoder may consider the choice of this seed during quantization, - meaning the flexibility to choose the LCG seed can reduce distortion. - The seed is decoded with the uniform 4-entry PDF in Table 37, - yielding a value between 0 and 3, inclusive. - - - - -Valin, et al. Expires February 17, 2012 [Page 66] - -Internet-Draft Interactive Audio Codec August 2011 - - - +----------------------+ - | PDF | - +----------------------+ - | {64, 64, 64, 64}/256 | - +----------------------+ - - Table 37: PDF for LCG Seed - -4.2.4.6. Excitation - - SILK codes the excitation using a modified version of the Pyramid - Vector Quantization (PVQ) codebook [PVQ]. The PVQ codebook consists - of all sums of K signed, unit pulses in a vector of dimension N, - where two pulses at the same position are required to have the same - sign. Thus the codebook includes all integer codevectors y of - dimension N that satisfy - - N-1 - __ - \ abs(y[j]) = K . - /_ - j=0 - - Unlike regular PVQ, SILK uses a variable-length, rather than fixed- - length, encoding. This encoding is more suited to the Gaussian-like - distribution of the coefficient magnitudes and the non-uniform - distribution of their signs (caused by the quantization offset - described below). SILK also handles large codebooks by coding the - least significant bits (LSBs) of each coefficient directly. This - adds a small coding efficiency loss, but greatly reduces the - computation time and ROM size required for decoding, as implemented - in silk_decode_pulses() (silk_decode_pulses.c). - - SILK fixes the dimension of the codebook to N = 16. The excitation - is made up of a number of "shell blocks", each 16 samples in size. - Table 38 lists the number of shell blocks required for a SILK frame - for each possible audio bandwidth and frame size. 10 ms MB frames - nominally contain 120 samples (10 ms at 12 kHz), which is not a - multiple of 16. This is handled by coding 8 shell blocks (128 - samples) and discarding the final 8 samples of the last block. The - decoder contains no special case that prevents an encoder from - placing pulses in these samples, and they must be correctly parsed - from the bitstream if present, but they are otherwise ignored. - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 67] - -Internet-Draft Interactive Audio Codec August 2011 - - - +-----------------+------------+------------------------+ - | Audio Bandwidth | Frame Size | Number of Shell Blocks | - +-----------------+------------+------------------------+ - | NB | 10 ms | 5 | - | | | | - | MB | 10 ms | 8 | - | | | | - | WB | 10 ms | 10 | - | | | | - | NB | 20 ms | 10 | - | | | | - | MB | 20 ms | 15 | - | | | | - | WB | 20 ms | 20 | - +-----------------+------------+------------------------+ - - Table 38: Number of Shell Blocks Per SILK Frame - -4.2.4.6.1. Rate Level - - The first symbol in the excitation is a "rate level", which is an - index from 0 to 8, inclusive, coded using the PDF in Table 39 - corresponding to the signal type of the current frame (from - Section 4.2.4.1). The rate level selects the PDF used to decode the - number of pulses in the individual shell blocks. It does not - directly convey any information about the bitrate or the number of - pulses itself, but merely changes the probability of the symbols in - Section 4.2.4.6.2. Level 0 provides a more efficient encoding at low - rates generally, and level 8 provides a more efficient encoding at - high rates generally, though the most efficient level for a - particular SILK frame may depend on the exact distribution of the - coded symbols. An encoder should, but is not required to, use the - most efficient rate level. - - +----------------------+------------------------------------------+ - | Signal Type | PDF | - +----------------------+------------------------------------------+ - | Inactive or Unvoiced | {15, 51, 12, 46, 45, 13, 33, 27, 14}/256 | - | | | - | Voiced | {33, 30, 36, 17, 34, 49, 18, 21, 18}/256 | - +----------------------+------------------------------------------+ - - Table 39: PDFs for the Rate Level - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 68] - -Internet-Draft Interactive Audio Codec August 2011 - - -4.2.4.6.2. Pulses Per Shell Block - - The total number of pulses in each of the shell blocks follows the - rate level. The pulse counts for all of the shell blocks are coded - in a row, before the content of any of the blocks. Each block may - have anywhere from 0 to 16 pulses, inclusive, coded using the 18- - entry PDF in Table 40 corresponding to the rate level from - Section 4.2.4.6.1. The special value 17 indicates that this block - has one or more additional LSBs to decode for each coefficient. If - it is encountered, another value is decoded using the PDF - corresponding to the special rate level 9 instead of the normal rate - level. This process repeats until a value less than 17 is decoded, - and the number of extra LSBs used is set to the number of 17's - decoded for that block. - - +----------+--------------------------------------------------------+ - | Rate | PDF | - | Level | | - +----------+--------------------------------------------------------+ - | 0 | {131, 74, 25, 8, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, | - | | 1, 1}/256 | - | | | - | 1 | {58, 93, 60, 23, 7, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, | - | | 1, 1}/256 | - | | | - | 2 | {43, 51, 46, 33, 24, 16, 11, 8, 6, 3, 3, 3, 2, 1, 1, | - | | 2, 1, 2}/256 | - | | | - | 3 | {17, 52, 71, 57, 31, 12, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, | - | | 1, 1}/256 | - | | | - | 4 | {6, 21, 41, 53, 49, 35, 21, 11, 6, 3, 2, 2, 1, 1, 1, | - | | 1, 1, 1}/256 | - | | | - | 5 | {7, 14, 22, 28, 29, 28, 25, 20, 17, 13, 11, 9, 7, 5, | - | | 4, 4, 3, 10}/256 | - | | | - | 6 | {2, 5, 14, 29, 42, 46, 41, 31, 19, 11, 6, 3, 2, 1, 1, | - | | 1, 1, 1}/256 | - | | | - | 7 | {1, 2, 4, 10, 19, 29, 35, 37, 34, 28, 20, 14, 8, 5, 4, | - | | 2, 2, 2}/256 | - | | | - | 8 | {1, 2, 2, 5, 9, 14, 20, 24, 27, 28, 26, 23, 20, 15, | - | | 11, 8, 6, 15}/256 | - | | | - - - - - -Valin, et al. Expires February 17, 2012 [Page 69] - -Internet-Draft Interactive Audio Codec August 2011 - - - | 9 | {1, 1, 1, 6, 27, 58, 56, 39, 25, 14, 10, 6, 3, 3, 2, | - | | 1, 1, 2}/256 | - +----------+--------------------------------------------------------+ - - Table 40: PDFs for the Pulse Count - -4.2.4.6.3. Pulse Magnitude Decoding - - The locations of the pulses in each shell block follows the pulse - counts, as decoded by silk_shell_decoder() (silk_shell_coder.c). As - with the pulse counts, these locations are coded for all the shell - blocks before any of the remaining information for each block. - Unlike many other codecs, SILK places no restriction on the - distribution of pulses within a shell block. All of the pulses may - be placed in a single location, or each one in a unique location, or - anything in-between. - - The location of pulses is coded by recursively partitioning each - block into halves, and coding how many pulses fall on the left side - of the split. All remaining pulses must fall on the right side of - the split. The process then recurses into the left half, and after - that returns, the right half (preorder traversal). The PDF to use is - chosen by the size of the current partition (16, 8, 4, or 2) and the - number of pulses in the partition (1 to 16, inclusive). Table 41 - through Table 44 list the PDFs use for each partition size and pulse - count. This process skips partitions without any pulses, i.e., where - the initial pulse count from Section 4.2.4.6.2 was zero, or where the - split in the prior level indicated that all of the pulses fell on the - other side. These partitions have nothing to code, so they require - no PDF. - - - - - - - - - - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 70] - -Internet-Draft Interactive Audio Codec August 2011 - - - +------------+------------------------------------------------------+ - | Pulse | PDF | - | Count | | - +------------+------------------------------------------------------+ - | 1 | {126, 130}/256 | - | | | - | 2 | {56, 142, 58}/256 | - | | | - | 3 | {25, 101, 104, 26}/256 | - | | | - | 4 | {12, 60, 108, 64, 12}/256 | - | | | - | 5 | {7, 35, 84, 87, 37, 6}/256 | - | | | - | 6 | {4, 20, 59, 86, 63, 21, 3}/256 | - | | | - | 7 | {3, 12, 38, 72, 75, 42, 12, 2}/256 | - | | | - | 8 | {2, 8, 25, 54, 73, 59, 27, 7, 1}/256 | - | | | - | 9 | {2, 5, 17, 39, 63, 65, 42, 18, 4, 1}/256 | - | | | - | 10 | {1, 4, 12, 28, 49, 63, 54, 30, 11, 3, 1}/256 | - | | | - | 11 | {1, 4, 8, 20, 37, 55, 57, 41, 22, 8, 2, 1}/256 | - | | | - | 12 | {1, 3, 7, 15, 28, 44, 53, 48, 33, 16, 6, 1, 1}/256 | - | | | - | 13 | {1, 2, 6, 12, 21, 35, 47, 48, 40, 25, 12, 5, 1, | - | | 1}/256 | - | | | - | 14 | {1, 1, 4, 10, 17, 27, 37, 47, 43, 33, 21, 9, 4, 1, | - | | 1}/256 | - | | | - | 15 | {1, 1, 1, 8, 14, 22, 33, 40, 43, 38, 28, 16, 8, 1, | - | | 1, 1}/256 | - | | | - | 16 | {1, 1, 1, 1, 13, 18, 27, 36, 41, 41, 34, 24, 14, 1, | - | | 1, 1, 1}/256 | - +------------+------------------------------------------------------+ - - Table 41: PDFs for Pulse Count Split, 16 Sample Partitions - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 71] - -Internet-Draft Interactive Audio Codec August 2011 - - - +------------+------------------------------------------------------+ - | Pulse | PDF | - | Count | | - +------------+------------------------------------------------------+ - | 1 | {127, 129}/256 | - | | | - | 2 | {53, 149, 54}/256 | - | | | - | 3 | {22, 105, 106, 23}/256 | - | | | - | 4 | {11, 61, 111, 63, 10}/256 | - | | | - | 5 | {6, 35, 86, 88, 36, 5}/256 | - | | | - | 6 | {4, 20, 59, 87, 62, 21, 3}/256 | - | | | - | 7 | {3, 13, 40, 71, 73, 41, 13, 2}/256 | - | | | - | 8 | {3, 9, 27, 53, 70, 56, 28, 9, 1}/256 | - | | | - | 9 | {3, 8, 19, 37, 57, 61, 44, 20, 6, 1}/256 | - | | | - | 10 | {3, 7, 15, 28, 44, 54, 49, 33, 17, 5, 1}/256 | - | | | - | 11 | {1, 7, 13, 22, 34, 46, 48, 38, 28, 14, 4, 1}/256 | - | | | - | 12 | {1, 1, 11, 22, 27, 35, 42, 47, 33, 25, 10, 1, 1}/256 | - | | | - | 13 | {1, 1, 6, 14, 26, 37, 43, 43, 37, 26, 14, 6, 1, | - | | 1}/256 | - | | | - | 14 | {1, 1, 4, 10, 20, 31, 40, 42, 40, 31, 20, 10, 4, 1, | - | | 1}/256 | - | | | - | 15 | {1, 1, 3, 8, 16, 26, 35, 38, 38, 35, 26, 16, 8, 3, | - | | 1, 1}/256 | - | | | - | 16 | {1, 1, 2, 6, 12, 21, 30, 36, 38, 36, 30, 21, 12, 6, | - | | 2, 1, 1}/256 | - +------------+------------------------------------------------------+ - - Table 42: PDFs for Pulse Count Split, 8 Sample Partitions - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 72] - -Internet-Draft Interactive Audio Codec August 2011 - - - +------------+------------------------------------------------------+ - | Pulse | PDF | - | Count | | - +------------+------------------------------------------------------+ - | 1 | {127, 129}/256 | - | | | - | 2 | {49, 157, 50}/256 | - | | | - | 3 | {20, 107, 109, 20}/256 | - | | | - | 4 | {11, 60, 113, 62, 10}/256 | - | | | - | 5 | {7, 36, 84, 87, 36, 6}/256 | - | | | - | 6 | {6, 24, 57, 82, 60, 23, 4}/256 | - | | | - | 7 | {5, 18, 39, 64, 68, 42, 16, 4}/256 | - | | | - | 8 | {6, 14, 29, 47, 61, 52, 30, 14, 3}/256 | - | | | - | 9 | {1, 15, 23, 35, 51, 50, 40, 30, 10, 1}/256 | - | | | - | 10 | {1, 1, 21, 32, 42, 52, 46, 41, 18, 1, 1}/256 | - | | | - | 11 | {1, 6, 16, 27, 36, 42, 42, 36, 27, 16, 6, 1}/256 | - | | | - | 12 | {1, 5, 12, 21, 31, 38, 40, 38, 31, 21, 12, 5, 1}/256 | - | | | - | 13 | {1, 3, 9, 17, 26, 34, 38, 38, 34, 26, 17, 9, 3, | - | | 1}/256 | - | | | - | 14 | {1, 3, 7, 14, 22, 29, 34, 36, 34, 29, 22, 14, 7, 3, | - | | 1}/256 | - | | | - | 15 | {1, 2, 5, 11, 18, 25, 31, 35, 35, 31, 25, 18, 11, 5, | - | | 2, 1}/256 | - | | | - | 16 | {1, 1, 4, 9, 15, 21, 28, 32, 34, 32, 28, 21, 15, 9, | - | | 4, 1, 1}/256 | - +------------+------------------------------------------------------+ - - Table 43: PDFs for Pulse Count Split, 4 Sample Partitions - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 73] - -Internet-Draft Interactive Audio Codec August 2011 - - - +------------+------------------------------------------------------+ - | Pulse | PDF | - | Count | | - +------------+------------------------------------------------------+ - | 1 | {128, 128}/256 | - | | | - | 2 | {42, 172, 42}/256 | - | | | - | 3 | {21, 107, 107, 21}/256 | - | | | - | 4 | {12, 60, 112, 61, 11}/256 | - | | | - | 5 | {8, 34, 86, 86, 35, 7}/256 | - | | | - | 6 | {8, 23, 55, 90, 55, 20, 5}/256 | - | | | - | 7 | {5, 15, 38, 72, 72, 36, 15, 3}/256 | - | | | - | 8 | {6, 12, 27, 52, 77, 47, 20, 10, 5}/256 | - | | | - | 9 | {6, 19, 28, 35, 40, 40, 35, 28, 19, 6}/256 | - | | | - | 10 | {4, 14, 22, 31, 37, 40, 37, 31, 22, 14, 4}/256 | - | | | - | 11 | {3, 10, 18, 26, 33, 38, 38, 33, 26, 18, 10, 3}/256 | - | | | - | 12 | {2, 8, 13, 21, 29, 36, 38, 36, 29, 21, 13, 8, 2}/256 | - | | | - | 13 | {1, 5, 10, 17, 25, 32, 38, 38, 32, 25, 17, 10, 5, | - | | 1}/256 | - | | | - | 14 | {1, 4, 7, 13, 21, 29, 35, 36, 35, 29, 21, 13, 7, 4, | - | | 1}/256 | - | | | - | 15 | {1, 2, 5, 10, 17, 25, 32, 36, 36, 32, 25, 17, 10, 5, | - | | 2, 1}/256 | - | | | - | 16 | {1, 2, 4, 7, 13, 21, 28, 34, 36, 34, 28, 21, 13, 7, | - | | 4, 2, 1}/256 | - +------------+------------------------------------------------------+ - - Table 44: PDFs for Pulse Count Split, 2 Sample Partitions - -4.2.5. LBRR Frames - - LBRR frames, if present, immediately follow the header bits, prior to - any regular SILK frames. Each frame whose LBRR flag was set includes - a separate set of data for each channel. - - - -Valin, et al. Expires February 17, 2012 [Page 74] - -Internet-Draft Interactive Audio Codec August 2011 - - -4.3. CELT Decoder - - The CELT layer is decoded based on the following symbols and sets of - symbols: - - +---------------+-----------------------------------+---------------+ - | Symbol(s) | PDF | Condition | - +---------------+-----------------------------------+---------------+ - | silence | {32767, 1}/32768 | | - | | | | - | post-filter | {1, 1}/2 | | - | | | | - | octave | uniform (6) | post-filter | - | | | | - | period | raw bits (4+octave) | post-filter | - | | | | - | gain | raw bits (3) | post-filter | - | | | | - | tapset | {2, 1, 1}/4 | post-filter | - | | | | - | transient | {7, 1}/8 | | - | | | | - | intra | {7, 1}/8 | | - | | | | - | coarse energy | Section 4.3.2 | | - | | | | - | tf_change | Section 4.3.1 | | - | | | | - | tf_select | {1, 1}/2 | Section 4.3.1 | - | | | | - | spread | {7, 2, 21, 2}/32 | | - | | | | - | dyn. alloc. | Section 4.3.3 | | - | | | | - | alloc. trim | {2, 2, 5, 10, 22, 46, 22, 10, 5, | | - | | 2, 2}/128 | | - | | | | - | skip | {1, 1}/2 | Section 4.3.3 | - | | | | - | intensity | uniform | Section 4.3.3 | - | | | | - | dual | {1, 1}/2 | | - | | | | - | fine energy | Section 4.3.2 | | - | | | | - | residual | Section 4.3.4 | | - | | | | - | anti-collapse | {1, 1}/2 | Section 4.3.5 | - - - -Valin, et al. Expires February 17, 2012 [Page 75] - -Internet-Draft Interactive Audio Codec August 2011 - - - | finalize | Section 4.3.2 | | - +---------------+-----------------------------------+---------------+ - - Order of the symbols in the CELT section of the bit-stream. - - Table 45 - - The decoder extracts information from the range-coded bit-stream in - the order described in the figure above. In some circumstances, it - is possible for a decoded value to be out of range due to a very - small amount of redundancy in the encoding of large integers by the - range coder. In that case, the decoder should assume there has been - an error in the coding, decoding, or transmission and SHOULD take - measures to conceal the error and/or report to the application that a - problem has occurred. - -4.3.1. Transient Decoding - - The "transient" flag encoded in the bit-stream has a probability of - 1/8. When it is set, then the MDCT coefficients represent multiple - short MDCTs in the frame. When not set, the coefficients represent a - single long MDCT for the frame. In addition to the global transient - flag is a per-band binary flag to change the time-frequency (tf) - resolution independently in each band. The change in tf resolution - is defined in tf_select_table[][] in celt.c and depends on the frame - size, whether the transient flag is set, and the value of tf_select. - The tf_select flag uses a 1/2 probability, but is only decoded if it - can have an impact on the result knowing the value of all per-band - tf_change flags. - -4.3.2. Energy Envelope Decoding - - It is important to quantize the energy with sufficient resolution - because any energy quantization error cannot be compensated for at a - later stage. Regardless of the resolution used for encoding the - shape of a band, it is perceptually important to preserve the energy - in each band. CELT uses a three-step coarse-fine-fine strategy for - encoding the energy in the base-2 log domain, as implemented in - quant_bands.c - -4.3.2.1. Coarse energy decoding - - Coarse quantization of the energy uses a fixed resolution of 6 dB - (integer part of base-2 log). To minimize the bitrate, prediction is - applied both in time (using the previous frame) and in frequency - (using the previous bands). The part of the prediction that is based - on the previous frame can be disabled, creating an "intra" frame - where the energy is coded without reference to prior frames. The - - - -Valin, et al. Expires February 17, 2012 [Page 76] - -Internet-Draft Interactive Audio Codec August 2011 - - - decoder first reads the intra flag to determine what prediction is - used. The 2-D z-transform of the prediction filter is: - - -1 -1 - (1 - alpha*z_l )*(1 - z_b ) - A(z_l, z_b) = ----------------------------- - -1 - 1 - beta*z_b - - where b is the band index and l is the frame index. The prediction - coefficients applied depend on the frame size in use when not using - intra energy and are alpha=0, beta=4915/32768 when using intra - energy. The time-domain prediction is based on the final fine - quantization of the previous frame, while the frequency domain - (within the current frame) prediction is based on coarse quantization - only (because the fine quantization has not been computed yet). The - prediction is clamped internally so that fixed point implementations - with limited dynamic range do not suffer desynchronization. We - approximate the ideal probability distribution of the prediction - error using a Laplace distribution with separate parameters for each - frame size in intra and inter-frame modes. The coarse energy - quantization is performed by unquant_coarse_energy() and - unquant_coarse_energy_impl() (quant_bands.c). The encoding of the - Laplace-distributed values is implemented in ec_laplace_decode() - (laplace.c). - -4.3.2.2. Fine energy quantization - - The number of bits assigned to fine energy quantization in each band - is determined by the bit allocation computation described in - Section 4.3.3. Let B_i be the number of fine energy bits for band i; - the refinement is an integer f in the range [0,2**B_i-1]. The - mapping between f and the correction applied to the coarse energy is - equal to (f+1/2)/2**B_i - 1/2. Fine energy quantization is - implemented in quant_fine_energy() (quant_bands.c). - - When some bits are left "unused" after all other flags have been - decoded, these bits are assigned to a "final" step of fine - allocation. In effect, these bits are used to add one extra fine - energy bit per band per channel. The allocation process determines - two "priorities" for the final fine bits. Any remaining bits are - first assigned only to bands of priority 0, starting from band 0 and - going up. If all bands of priority 0 have received one bit per - channel, then bands of priority 1 are assigned an extra bit per - channel, starting from band 0. If any bit is left after this, they - are left unused. This is implemented in unquant_energy_finalise() - (quant_bands.c). - - - - -Valin, et al. Expires February 17, 2012 [Page 77] - -Internet-Draft Interactive Audio Codec August 2011 - - -4.3.3. Bit allocation - - Many codecs transmit significant amounts of side information for the - purpose of controlling bit allocation within a frame. Often this - side information controls bit usage indirectly and must be carefully - selected to achieve the desired rate constraints. - - The band-energy normalized structure of Opus MDCT mode ensures that a - constant bit allocation for the shape content of a band will result - in a roughly constant tone to noise ratio, which provides for fairly - consistent perceptual performance. The effectiveness of this - approach is the result of two factors: The band energy, which is - understood to be perceptually important on its own, is always - preserved regardless of the shape precision and because the constant - tone-to-noise ratio implies a constant intra-band noise to masking - ratio. Intra-band masking is the strongest of the perceptual masking - effects. This structure means that the ideal allocation is more - consistent from frame to frame than it is for other codecs without an - equivalent structure. - - Because the bit allocation is used to drive the decoding of the - range-coder stream it MUST be recovered exactly so that identical - coding decisions are made in the encoder and decoder. Any deviation - from the reference's resulting bit allocation will result in - corrupted output, though implementers are free to implement the - procedure in any way which produces identical results. - - Because all of the information required to decode a frame must be - derived from that frame alone in order to retain robustness to packet - loss the overhead of explicitly signaling the allocation would be - considerable, especially for low-latency (small frame size) - applications, even though the allocation is relatively static. - - For this reason, in the MDCT mode Opus uses a primarily implicit bit - allocation. The available bit-stream capacity is known in advance to - both the encoder and decoder without additional signaling, ultimately - from the packet sizes expressed by a higher level protocol. Using - this information the codec interpolates an allocation from a hard- - coded table. - - While the band-energy structure effectively models intra-band - masking, it ignores the weaker inter-band masking, band-temporal - masking, and other less significant perceptual effects. While these - effects can often be ignored they can become significant for - particular samples. One mechanism available to encoders would be to - simply increase the overall rate for these frames, but this is not - possible in a constant rate mode and can be fairly inefficient. As a - result three explicitly signaled mechanisms are provided to alter the - - - -Valin, et al. Expires February 17, 2012 [Page 78] - -Internet-Draft Interactive Audio Codec August 2011 - - - implicit allocation: - - o Band boost - - o Allocation trim - - o band skipping - - The first of these mechanisms, band boost, allows an encoder to boost - the allocation in specific bands. The second, allocation trim, works - by biasing the overall allocation towards higher or lower frequency - bands. The third, band skipping, selects which low-precision high - frequency bands will be allocated no shape bits at all. - - In stereo mode there are also two additional parameters potentially - coded as part of the allocation procedure: a parameter to allow the - selective elimination of allocation for the 'side' in jointly coded - bands, and a flag to deactivate joint coding. These values are not - signaled if they would be meaningless in the overall context of the - allocation. - - Because every signaled adjustment increases overhead and - implementation complexity none were included speculatively: The - reference encoder makes use of all of these mechanisms. While the - decision logic in the reference was found to be effective enough to - justify the overhead and complexity further analysis techniques may - be discovered which increase the effectiveness of these parameters. - As with other signaled parameters, encoder is free to choose the - values in any manner but unless a technique is known to deliver - superior perceptual results the methods used by the reference - implementation should be used. - - The process of allocation consists of the following steps: - determining the per-band maximum allocation vector, decoding the - boosts, decoding the tilt, determining the remaining capacity the - frame, searching the mode table for the entry nearest but not - exceeding the available space (subject to the tilt, boosts, band - maximums, and band minimums), linear interpolation, reallocation of - unused bits with concurrent skip decoding, determination of the fine- - energy vs shape split, and final reallocation. This process results - in an shape allocation per-band (in 1/8th bit units), a per-band - fine-energy allocation (in 1 bit per channel units), a set of band - priorities for controlling the use of remaining bits at the end of - the frame, and a remaining balance of unallocated space which is - usually zero except at very high rates. - - The maximum allocation vector is an approximation of the maximum - space which can be used by each band for a given mode. The value is - - - -Valin, et al. Expires February 17, 2012 [Page 79] - -Internet-Draft Interactive Audio Codec August 2011 - - - approximate because the shape encoding is variable rate (due to - entropy coding of splitting parameters). Setting the maximum too low - reduces the maximum achievable quality in a band while setting it too - high may result in waste: bit-stream capacity available at the end of - the frame which can not be put to any use. The maximums specified by - the codec reflect the average maximum. In the reference the maximums - are provided partially computed form, in order to fit in less memory, - as a static table (XXX cache.caps). Implementations are expected to - simply use the same table data but the procedure for generating this - table is included in rate.c as part of compute_pulse_cache(). - - To convert the values in cache.caps into the actual maximums: First - set nbBands to the maximum number of bands for this mode and stereo - to zero if stereo is not in use and one otherwise. For each band - assign N to the number of MDCT bins covered by the band (for one - channel), set LM to the shift value for the frame size (e.g. 0 for - 120, 1 for 240, 3 for 480) then set i to nbBands*(2*LM+stereo). Then - set the maximum for the band to the i-th index of cache.caps + 64 and - multiply by the number of channels in the current frame (one or two) - and by N then divide the result by 4 using truncating integer - division. The resulting vector will be called cap[]. The elements - fit in signed 16 bit integers but do not fit in 8 bits. This - procedure is implemented in the reference in the function init_caps() - in celt.c. - - The band boosts are represented by a series of binary symbols which - are coded with very low probability. Each band can potentially be - boosted multiple times, subject to the frame actually having enough - room to obey the boost and having enough room to code the boost - symbol. The default coding cost for a boost starts out at six bits, - but subsequent boosts in a band cost only a single bit and every time - a band is boosted the initial cost is reduced (down to a minimum of - two). Since the initial cost of coding a boost is 6 bits the coding - cost of the boost symbols when completely unused is 0.48 bits/frame - for a 21 band mode (21*-log2(1-1/2**6)). - - To decode the band boosts: First set 'dynalloc_logp' to 6, the - initial amount of storage required to signal a boost in bits, - 'total_bits' to the size of the frame in 8th-bits, 'total_boost' to - zero, and 'tell' to the total number of 8th bits decoded so far. For - each band from the coding start (0 normally, but 17 in hybrid mode) - to the coding end (which changes depending on the signaled - bandwidth): Set 'width' to the number of MDCT bins in this band for - all channels. Take the larger of width and 64, then the minimum of - that value and the width times eight and set 'quanta' to the result. - This represents a boost step size of six bits subject to limits of - 1/bit/sample and 1/8th bit/sample. Set 'boost' to zero and - 'dynalloc_loop_logp' to dynalloc_logp. While dynalloc_loop_log (the - - - -Valin, et al. Expires February 17, 2012 [Page 80] - -Internet-Draft Interactive Audio Codec August 2011 - - - current worst case symbol cost) in 8th bits plus tell is less than - total_bits plus total_boost and boost is less than cap[] for this - band: Decode a bit from the bitstream with a with dynalloc_loop_logp - as the cost of a one, update tell to reflect the current used - capacity, if the decoded value is zero break the loop otherwise add - quanta to boost and total_boost, subtract quanta from total_bits, and - set dynalloc_loop_log to 1. When the while loop finishes boost - contains the boost for this band. If boost is non-zero and - dynalloc_logp is greater than 2 decrease dynalloc_logp. Once this - process has been execute on all bands the band boosts have been - decoded. This procedure is implemented around line 2352 of celt.c. - - At very low rates it's possible that there won't be enough available - space to execute the inner loop even once. In these cases band boost - is not possible but its overhead is completely eliminated. Because - of the high cost of band boost when activated a reasonable encoder - should not be using it at very low rates. The reference implements - its dynalloc decision logic at around 1269 of celt.c - - The allocation trim is a integer value from 0-10. The default value - of 5 indicates no trim. The trim parameter is entropy coded in order - to lower the coding cost of less extreme adjustments. Values lower - than 5 bias the allocation towards lower frequencies and values above - 5 bias it towards higher frequencies. Like other signaled - parameters, signaling of the trim is gated so that it is not included - if there is insufficient space available in the bitstream. To decode - the trim first set the trim value to 5 then iff the count of decoded - 8th bits so far (ec_tell_frac) plus 48 (6 bits) is less than or equal - to the total frame size in 8th bits minus total_boost (a product of - the above band boost procedure) then decode the trim value using the - inverse CDF {127, 126, 124, 119, 109, 87, 41, 19, 9, 4, 2, 0}. - - Stereo parameters - - Anti-collapse reservation - - The allocation computation first begins by setting up some initial - conditions. 'total' is set to the available remaining 8th bits, - computed by taking the size of the coded frame times 8 and - subtracting ec_tell_frac(). From this value one (8th bit) is - subtracted to assure that the resulting allocation will be - conservative. 'anti_collapse_rsv' is set to 8 (8th bits) iff the - frame is a transient, LM is greater than 1, and total is greater than - or equal to (LM+2) * 8. Total is then decremented by - anti_collapse_rsv and clamped to be equal to or greater than zero. - 'skip_rsv' is set to 8 (8th bits) if total is greater than 8, - otherwise it is zero. Total is then decremented by skip_rsv. This - reserves space for the final skipping flag. - - - -Valin, et al. Expires February 17, 2012 [Page 81] - -Internet-Draft Interactive Audio Codec August 2011 - - - If the current frame is stereo intensity_rsv is set to the - conservative log2 in 8th bits of the number of coded bands for this - frame (given by the table LOG2_FRAC_TABLE). If intensity_rsv is - greater than total then intensity_rsv is set to zero otherwise total - is decremented by intensity_rsv, and if total is still greater than 8 - dual_stereo_rsv is set to 8 and total is decremented by - dual_stereo_rsv. - - The allocation process then computes a vector representing the hard - minimum amounts allocation any band will receive for shape. This - minimum is higher than the technical limit of the PVQ process, but - very low rate allocations produce excessively an sparse spectrum and - these bands are better served by having no allocation at all. For - each coded band set thresh[band] to twenty-four times the number of - MDCT bins in the band and divide by 16. If 8 times the number of - channels is greater, use that instead. This sets the minimum - allocation to one bit per channel or 48 128th bits per MDCT bin, - whichever is greater. The band size dependent part of this value is - not scaled by the channel count because at the very low rates where - this limit is applicable there will usually be no bits allocated to - the side. - - The previously decoded allocation trim is used to derive a vector of - per-band adjustments, 'trim_offsets[]'. For each coded band take the - alloc_trim and subtract 5 and LM then multiply the result by number - of channels, the number MDCT bins in the shortest frame size for this - mode, the number remaining bands, 2**LM, and 8. Then divide this - value by 64. Finally, if the number of MDCT bins in the band per - channel is only one 8 times the number of channels is subtracted in - order to diminish the allocation by one bit because width 1 bands - receive greater benefit from the coarse energy coding. - -4.3.4. Shape Decoder - - In each band, the normalized "shape" is encoded using a vector - quantization scheme called a "Pyramid vector quantizer". - - In the simplest case, the number of bits allocated in Section 4.3.3 - is converted to a number of pulses as described by Section 4.3.4.1. - Knowing the number of pulses and the number of samples in the band, - the decoder calculates the size of the codebook as detailed in - Section 4.3.4.2. The size is used to decode an unsigned integer - (uniform probability model), which is the codeword index. This index - is converted into the corresponding vector as explained in - Section 4.3.4.2. This vector is then scaled to unit norm. - - - - - - -Valin, et al. Expires February 17, 2012 [Page 82] - -Internet-Draft Interactive Audio Codec August 2011 - - -4.3.4.1. Bits to Pulses - - Although the allocation is performed in 1/8th bit units, the - quantization requires an integer number of pulses K. To do this, the - encoder searches for the value of K that produces the number of bits - that is the nearest to the allocated value (rounding down if exactly - half-way between two values), subject to not exceeding the total - number of bits available. For efficiency reasons the search is - performed against a precomputed allocation table which only permits - some K values for each N. The number of codebooks entries can be - computed as explained in Section 5.3.5.2. The difference between the - number of bits allocated and the number of bits used is accumulated - to a "balance" (initialized to zero) that helps adjusting the - allocation for the next bands. One third of the balance is applied - to the bit allocation of the each band to help achieving the target - allocation. The only exceptions are the band before the last and the - last band, for which half the balance and the whole balance are - applied, respectively. - -4.3.4.2. Index Decoding - - The codeword is decoded as a uniformly-distributed integer value by - decode_pulses() (cwrs.c). The codeword is converted from a unique - index in the same way as specified in [PVQ]. The indexing is based - on the calculation of V(N,K) (denoted N(L,K) in [PVQ]), which is the - number of possible combinations of K pulses in N samples. The number - of combinations can be computed recursively as V(N,K) = V(N-1,K) + - V(N,K-1) + V(N-1,K-1), with V(N,0) = 1 and V(0,K) = 0, K != 0. There - are many different ways to compute V(N,K), including pre-computed - tables and direct use of the recursive formulation. The reference - implementation applies the recursive formulation one line (or column) - at a time to save on memory use, along with an alternate, univariate - recurrence to initialize an arbitrary line, and direct polynomial - solutions for small N. All of these methods are equivalent, and have - different trade-offs in speed, memory usage, and code size. - Implementations MAY use any methods they like, as long as they are - equivalent to the mathematical definition. - - The decoding of the codeword from the index is performed as specified - in [PVQ], as implemented in function decode_pulses() (cwrs.c). - -4.3.4.3. Spreading - -4.3.4.4. Split decoding - - To avoid the need for multi-precision calculations when decoding PVQ - codevectors, the maximum size allowed for codebooks is 32 bits. When - larger codebooks are needed, the vector is instead split in two sub- - - - -Valin, et al. Expires February 17, 2012 [Page 83] - -Internet-Draft Interactive Audio Codec August 2011 - - - vectors of size N/2. A quantized gain parameter with precision - derived from the current allocation is entropy coded to represent the - relative gains of each side of the split and the entire decoding - process is recursively applied. Multiple levels of splitting may be - applied up to a frame size dependent limit. The same recursive - mechanism is applied for the joint coding of stereo audio. - -4.3.4.5. Time-Frequency change - -4.3.5. Anti-collapse processing - - When the frame has the transient bit set, an anti-collapse bit is - decoded. When anti-collapse is set, then the energy in each small - MDCT is prevented from collapsing to zero. For each band of each - MDCT where a collapse is detected, a pseudo-random signal is inserted - with an energy corresponding to the min energy over the two previous - frames. A renormalization step is then required to ensure that the - anti-collapse step did not alter the energy preservation property. - -4.3.6. Denormalization - - Just like each band was normalized in the encoder, the last step of - the decoder before the inverse MDCT is to denormalize the bands. - Each decoded normalized band is multiplied by the square root of the - decoded energy. This is done by denormalise_bands() (bands.c). - -4.3.7. Inverse MDCT - - The inverse MDCT implementation has no special characteristics. The - input is N frequency-domain samples and the output is 2*N time-domain - samples, while scaling by 1/2. The output is windowed using the same - window as the encoder. The IMDCT and windowing are performed by - mdct_backward (mdct.c). If a time-domain pre-emphasis window was - applied in the encoder, the (inverse) time-domain de-emphasis window - is applied on the IMDCT result. - -4.3.7.1. Post-filter - - The output of the inverse MDCT (after weighted overlap-add) is sent - to the post-filter. Although the post-filter is applied at the end, - the post-filter parameters are encoded at the beginning, just after - the silence flag. The post-filter can be switched on or off using - one bit (logp=1). If the post-filter is enabled, then the octave is - decoded as an integer value between 0 and 6 of uniform probability. - Once the octave is known, the fine pitch within the octave is decoded - using 4+octave raw bits. The final pitch period is equal to - (16<| rate |--->|encoder|--+ - | |conversion| | | | - audio | +----------+ +-------+ | +-------+ - ------+ +--->| Range | - | +-------+ |encoder|----> - | | CELT | +--->| | bit-stream - +->|encoder|------------------+ +-------+ - | | - +-------+ - - -5.1. Range Coder - - The range coder also acts as the bit-packer for Opus. It is used in - three different ways, to encode: - - o entropy-coded symbols with a fixed probability model using - ec_encode(), (entenc.c) - - o integers from 0 to 2**M-1 using ec_enc_uint() or ec_enc_bits(), - (entenc.c) - - o integers from 0 to N-1 (where N is not a power of two) using - ec_enc_uint(). (entenc.c) - - The range encoder maintains an internal state vector composed of the - four-tuple (low,rng,rem,ext), representing the low end of the current - range, the size of the current range, a single buffered output octet, - and a count of additional carry-propagating output octets. Both rng - and low are 32-bit unsigned integer values, rem is an octet value or - the special value -1, and ext is an integer with at least 16 bits. - This state vector is initialized at the start of each each frame to - the value (0,2**31,-1,0). The reference implementation re-uses the - 'val' field of the entropy coder structure to hold low, in order to - allow the same structure to be used for encoding and decoding, but we - maintain the distinction here for clarity. - -5.1.1. Encoding Symbols - - The main encoding function is ec_encode() (entenc.c), which takes as - an argument a three-tuple (fl,fh,ft) describing the range of the - - - -Valin, et al. Expires February 17, 2012 [Page 88] - -Internet-Draft Interactive Audio Codec August 2011 - - - symbol to be encoded in the current context, with 0 <= fl < fh <= ft - <= 65535. The values of this tuple are derived from the probability - model for the symbol. Let f(i) be the frequency of the i'th symbol - in the current context. Then the three-tuple corresponding to the - k'th symbol is given by fl=sum(f(i),i - 2**23. First, the top 9 bits of low, (low>>23), are placed into a - carry buffer. Then, low is set to (low << 8 & 0x7FFFFFFF) and rng is - set to (rng<<8). This process is carried out by ec_enc_normalize() - (entenc.c). - - The 9 bits produced in each iteration of the normalization loop - consist of 8 data bits and a carry flag. The final value of the - output bits is not determined until carry propagation is accounted - for. Therefore the reference implementation buffers a single (non- - propagating) output octet and keeps a count of additional propagating - (0xFF) output octets. An implementation MAY choose to use any - mathematically equivalent scheme to perform carry propagation. - - The function ec_enc_carry_out() (entenc.c) performs this buffering. - It takes a 9-bit input value, c, from the normalization: 8 bits of - output and a carry bit. If c is 0xFF, then ext is incremented and no - octets are output. Otherwise, if rem is not the special value -1, - then the octet (rem+(c>>8)) is output. Then ext octets are output - with the value 0 if the carry bit is set, or 0xFF if it is not, and - rem is set to the lower 8 bits of c. After this, ext is set to zero. - - In the reference implementation, a special version of ec_encode() - called ec_encode_bin() (entenc.c) is defined to take a two-tuple - (fl,ftb), where 0 <= fl < 2**ftb and ftb < 16. It is mathematically - equivalent to calling ec_encode() with the three-tuple (fl,fl+ - 1,1<8, then the top 8 bits of fl are encoded using - ec_encode() with the three-tuple (fl>>ftb-8,(fl>>ftb-8)+ - 1,(ft-1>>ftb-8)+1), and the remaining bits are encoded as raw bits. - Otherwise, fl is encoded with ec_encode() directly using the three- - tuple (fl,fl+1,ft). - -5.1.4. Finalizing the Stream - - After all symbols are encoded, the stream must be finalized by - outputting a value inside the current range. Let end be the integer - in the interval [low,low+rng) with the largest number of trailing - zero bits, b, such that end+(1<>23), are sent to the carry buffer, and end is replaced by - (end<<8&0x7FFFFFFF). Finally, if the value in carry buffer, rem, is - neither zero nor the special value -1, or the carry count, ext, is - greater than zero, then 9 zero bits are sent to the carry buffer. - After the carry buffer is finished outputting octets, the rest of the - output buffer (if any) is padded with zero bits, until it reaches the - raw bits. Finally, rem is set to the special value -1. This process - is implemented by ec_enc_done() (entenc.c). - -5.1.5. Current Bit Usage - - The bit allocation routines in Opus need to be able to determine a - conservative upper bound on the number of bits that have been used to - encode the current frame thus far. This drives allocation decisions - and ensures that the range coder and raw bits will not overflow the - output buffer. This is computed in the reference implementation to - whole-bit precision by the function ec_tell() (entcode.h) and to - - - -Valin, et al. Expires February 17, 2012 [Page 90] - -Internet-Draft Interactive Audio Codec August 2011 - - - fractional 1/8th bit precision by the function ec_tell_frac() - (entcode.c). Like all operations in the range coder, it must be - implemented in a bit-exact manner, and must produce exactly the same - value returned by the same functions in the decoder after decoding - the same symbols. - -5.2. SILK Encoder - - In the following, we focus on the core encoder and describe its - components. For simplicity, we will refer to the core encoder simply - as the encoder in the remainder of this document. An overview of the - encoder is given in Figure 11. - - - +---+ - +----------------------------->| | - +---------+ | +---------+ | | - |Voice | | |LTP | | | - +----->|Activity |-----+ +---->|Scaling |---------+--->| | - | |Detector | 3 | | |Control |<+ 12 | | | - | +---------+ | | +---------+ | | | | - | | | +---------+ | | | | - | | | |Gains | | 11 | | | - | | | +->|Processor|-|---+---|--->| R | - | | | | | | | | | | a | - | \/ | | +---------+ | | | | n | - | +---------+ | | +---------+ | | | | g | - | |Pitch | | | |LSF | | | | | e | - | +->|Analysis |-+ | |Quantizer|-|---|---|--->| | - | | | |4| | | | | 8 | | | E |-> - | | +---------+ | | +---------+ | | | | n |14 - | | | | 9/\ 10| | | | | c | - | | | | | \/ | | | | o | - | | +---------+ | | +----------+| | | | d | - | | |Noise | +--|->|Prediction|+---|---|--->| e | - | +->|Shaping |-|--+ |Analysis || 7 | | | r | - | | |Analysis |5| | | || | | | | - | | +---------+ | | +----------+| | | | | - | | | | /\ | | | | | - | | +---------|--|-------+ | | | | | - | | | \/ \/ \/ \/ \/ | | - | +---------+ | | +---------+ +------------+ | | - | |High-Pass| | | | | |Noise | | | - -+->|Filter |-+----+----->|Prefilter|------>|Shaping |->| | - 1 | | 2 | | 6 |Quantization|13| | - +---------+ +---------+ +------------+ +---+ - - 1: Input speech signal - - - -Valin, et al. Expires February 17, 2012 [Page 91] - -Internet-Draft Interactive Audio Codec August 2011 - - - 2: High passed input signal - 3: Voice activity estimate - 4: Pitch lags (per 5 ms) and voicing decision (per 20 ms) - 5: Noise shaping quantization coefficients - - Short term synthesis and analysis - noise shaping coefficients (per 5 ms) - - Long term synthesis and analysis noise - shaping coefficients (per 5 ms and for voiced speech only) - - Noise shaping tilt (per 5 ms) - - Quantizer gain/step size (per 5 ms) - 6: Input signal filtered with analysis noise shaping filters - 7: Short and long term prediction coefficients - LTP (per 5 ms) and LPC (per 20 ms) - 8: LSF quantization indices - 9: LSF coefficients - 10: Quantized LSF coefficients - 11: Processed gains, and synthesis noise shape coefficients - 12: LTP state scaling coefficient. Controlling error propagation - / prediction gain trade-off - 13: Quantized signal - 14: Range encoded bitstream - - - - Encoder block diagram. - - Figure 11 - -5.2.1. Voice Activity Detection - - The input signal is processed by a VAD (Voice Activity Detector) to - produce a measure of voice activity, and also spectral tilt and - signal-to-noise estimates, for each frame. The VAD uses a sequence - of half-band filterbanks to split the signal in four subbands: 0 - - Fs/16, Fs/16 - Fs/8, Fs/8 - Fs/4, and Fs/4 - Fs/2, where Fs is the - sampling frequency, that is, 8, 12, 16, or 24 kHz. The lowest - subband, from 0 - Fs/16 is high-pass filtered with a first-order MA - (Moving Average) filter (with transfer function H(z) = 1-z**(-1)) to - reduce the energy at the lowest frequencies. For each frame, the - signal energy per subband is computed. In each subband, a noise - level estimator tracks the background noise level and an SNR (Signal- - to-Noise Ratio) value is computed as the logarithm of the ratio of - energy to noise level. Using these intermediate variables, the - following parameters are calculated for use in other SILK modules: - - o Average SNR. The average of the subband SNR values. - - - - - -Valin, et al. Expires February 17, 2012 [Page 92] - -Internet-Draft Interactive Audio Codec August 2011 - - - o Smoothed subband SNRs. Temporally smoothed subband SNR values. - - o Speech activity level. Based on the average SNR and a weighted - average of the subband energies. - - o Spectral tilt. A weighted average of the subband SNRs, with - positive weights for the low subbands and negative weights for the - high subbands. - -5.2.2. High-Pass Filter - - The input signal is filtered by a high-pass filter to remove the - lowest part of the spectrum that contains little speech energy and - may contain background noise. This is a second order ARMA (Auto - Regressive Moving Average) filter with a cut-off frequency around - 70 Hz. - - In the future, a music detector may also be used to lower the cut-off - frequency when the input signal is detected to be music rather than - speech. - -5.2.3. Pitch Analysis - - The high-passed input signal is processed by the open loop pitch - estimator shown in Figure 12. - - - - - - - - - - - - - - - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 93] - -Internet-Draft Interactive Audio Codec August 2011 - - - +--------+ +----------+ - |2 x Down| |Time- | - +->|sampling|->|Correlator| | - | | | | | |4 - | +--------+ +----------+ \/ - | | 2 +-------+ - | | +-->|Speech |5 - +---------+ +--------+ | \/ | |Type |-> - |LPC | |Down | | +----------+ | | - +->|Analysis | +->|sample |-+------------->|Time- | +-------+ - | | | | |to 8 kHz| |Correlator|-----------> - | +---------+ | +--------+ |__________| 6 - | | | |3 - | \/ | \/ - | +---------+ | +----------+ - | |Whitening| | |Time- | - -+->|Filter |-+--------------------------->|Correlator|-----------> - 1 | | | | 7 - +---------+ +----------+ - - 1: Input signal - 2: Lag candidates from stage 1 - 3: Lag candidates from stage 2 - 4: Correlation threshold - 5: Voiced/unvoiced flag - 6: Pitch correlation - 7: Pitch lags - - - Block diagram of the pitch estimator. - - Figure 12 - - The pitch analysis finds a binary voiced/unvoiced classification, - and, for frames classified as voiced, four pitch lags per frame - one - for each 5 ms subframe - and a pitch correlation indicating the - periodicity of the signal. The input is first whitened using a - Linear Prediction (LP) whitening filter, where the coefficients are - computed through standard Linear Prediction Coding (LPC) analysis. - The order of the whitening filter is 16 for best results, but is - reduced to 12 for medium complexity and 8 for low complexity modes. - The whitened signal is analyzed to find pitch lags for which the time - correlation is high. The analysis consists of three stages for - reducing the complexity: - - o In the first stage, the whitened signal is downsampled to 4 kHz - (from 8 kHz) and the current frame is correlated to a signal - delayed by a range of lags, starting from a shortest lag - - - -Valin, et al. Expires February 17, 2012 [Page 94] - -Internet-Draft Interactive Audio Codec August 2011 - - - corresponding to 500 Hz, to a longest lag corresponding to 56 Hz. - - o The second stage operates on a 8 kHz signal ( downsampled from 12, - 16, or 24 kHz ) and measures time correlations only near the lags - corresponding to those that had sufficiently high correlations in - the first stage. The resulting correlations are adjusted for a - small bias towards short lags to avoid ending up with a multiple - of the true pitch lag. The highest adjusted correlation is - compared to a threshold depending on: - - * Whether the previous frame was classified as voiced - - * The speech activity level - - * The spectral tilt. - - If the threshold is exceeded, the current frame is classified as - voiced and the lag with the highest adjusted correlation is stored - for a final pitch analysis of the highest precision in the third - stage. - - o The last stage operates directly on the whitened input signal to - compute time correlations for each of the four subframes - independently in a narrow range around the lag with highest - correlation from the second stage. - -5.2.4. Noise Shaping Analysis - - The noise shaping analysis finds gains and filter coefficients used - in the prefilter and noise shaping quantizer. These parameters are - chosen such that they will fulfill several requirements: - - o Balancing quantization noise and bitrate. The quantization gains - determine the step size between reconstruction levels of the - excitation signal. Therefore, increasing the quantization gain - amplifies quantization noise, but also reduces the bitrate by - lowering the entropy of the quantization indices. - - o Spectral shaping of the quantization noise; the noise shaping - quantizer is capable of reducing quantization noise in some parts - of the spectrum at the cost of increased noise in other parts - without substantially changing the bitrate. By shaping the noise - such that it follows the signal spectrum, it becomes less audible. - In practice, best results are obtained by making the shape of the - noise spectrum slightly flatter than the signal spectrum. - - o De-emphasizing spectral valleys; by using different coefficients - in the analysis and synthesis part of the prefilter and noise - - - -Valin, et al. Expires February 17, 2012 [Page 95] - -Internet-Draft Interactive Audio Codec August 2011 - - - shaping quantizer, the levels of the spectral valleys can be - decreased relative to the levels of the spectral peaks such as - speech formants and harmonics. This reduces the entropy of the - signal, which is the difference between the coded signal and the - quantization noise, thus lowering the bitrate. - - o Matching the levels of the decoded speech formants to the levels - of the original speech formants; an adjustment gain and a first - order tilt coefficient are computed to compensate for the effect - of the noise shaping quantization on the level and spectral tilt. - - - - / \ ___ - | // \\ - | // \\ ____ - |_// \\___// \\ ____ - | / ___ \ / \\ // \\ - P |/ / \ \_/ \\_____// \\ - o | / \ ____ \ / \\ - w | / \___/ \ \___/ ____ \\___ 1 - e |/ \ / \ \ - r | \_____/ \ \__ 2 - | \ - | \___ 3 - | - +----------------------------------------> - Frequency - - 1: Input signal spectrum - 2: De-emphasized and level matched spectrum - 3: Quantization noise spectrum - - - Noise shaping and spectral de-emphasis illustration. - - Figure 13 - - Figure 13 shows an example of an input signal spectrum (1). After - de-emphasis and level matching, the spectrum has deeper valleys (2). - The quantization noise spectrum (3) more or less follows the input - signal spectrum, while having slightly less pronounced peaks. The - entropy, which provides a lower bound on the bitrate for encoding the - excitation signal, is proportional to the area between the de- - emphasized spectrum (2) and the quantization noise spectrum (3). - Without de-emphasis, the entropy is proportional to the area between - input spectrum (1) and quantization noise (3) - clearly higher. - - - - -Valin, et al. Expires February 17, 2012 [Page 96] - -Internet-Draft Interactive Audio Codec August 2011 - - - The transformation from input signal to de-emphasized signal can be - described as a filtering operation with a filter - - - -1 Wana(z) - H(z) = G * ( 1 - c_tilt * z ) * ------- - Wsyn(z), - - - having an adjustment gain G, a first order tilt adjustment filter - with tilt coefficient c_tilt, and where - - - 16 d - __ -k -L __ -k - Wana(z) = (1 - \ (a_ana(k) * z )*(1 - z * \ b_ana(k) * z ), - /_ /_ - k=1 k=-d - - - is the analysis part of the de-emphasis filter, consisting of the - short-term shaping filter with coefficients a_ana(k), and the long- - term shaping filter with coefficients b_ana(k) and pitch lag L. The - parameter d determines the number of long-term shaping filter taps. - - Similarly, but without the tilt adjustment, the synthesis part can be - written as - - - 16 d - __ -k -L __ -k - Wsyn(z) = (1 - \ (a_syn(k) * z )*(1 - z * \ b_syn(k) * z ). - /_ /_ - k=1 k=-d - - - All noise shaping parameters are computed and applied per subframe of - 5 milliseconds. First, an LPC analysis is performed on a windowed - signal block of 15 milliseconds. The signal block has a look-ahead - of 5 milliseconds relative to the current subframe, and the window is - an asymmetric sine window. The LPC analysis is done with the - autocorrelation method, with an order of 16 for best quality or 12 in - low complexity operation. The quantization gain is found as the - square-root of the residual energy from the LPC analysis, multiplied - by a value inversely proportional to the coding quality control - parameter and the pitch correlation. - - Next we find the two sets of short-term noise shaping coefficients - - - -Valin, et al. Expires February 17, 2012 [Page 97] - -Internet-Draft Interactive Audio Codec August 2011 - - - a_ana(k) and a_syn(k), by applying different amounts of bandwidth - expansion to the coefficients found in the LPC analysis. This - bandwidth expansion moves the roots of the LPC polynomial towards the - origin, using the formulas - - - k - a_ana(k) = a(k)*g_ana , and - - k - a_syn(k) = a(k)*g_syn , - - - where a(k) is the k'th LPC coefficient and the bandwidth expansion - factors g_ana and g_syn are calculated as - - - g_ana = 0.94 - 0.02*C, and - - g_syn = 0.94 + 0.02*C, - - - where C is the coding quality control parameter between 0 and 1. - Applying more bandwidth expansion to the analysis part than to the - synthesis part gives the desired de-emphasis of spectral valleys in - between formants. - - The long-term shaping is applied only during voiced frames. It uses - three filter taps, described by - - - b_ana = F_ana * [0.25, 0.5, 0.25], and - - b_syn = F_syn * [0.25, 0.5, 0.25]. - - - For unvoiced frames these coefficients are set to 0. The - multiplication factors F_ana and F_syn are chosen between 0 and 1, - depending on the coding quality control parameter, as well as the - calculated pitch correlation and smoothed subband SNR of the lowest - subband. By having F_ana less than F_syn, the pitch harmonics are - emphasized relative to the valleys in between the harmonics. - - The tilt coefficient c_tilt is for unvoiced frames chosen as - - - c_tilt = 0.4, and as - - - - -Valin, et al. Expires February 17, 2012 [Page 98] - -Internet-Draft Interactive Audio Codec August 2011 - - - c_tilt = 0.04 + 0.06 * C - - - for voiced frames, where C again is the coding quality control - parameter and is between 0 and 1. - - The adjustment gain G serves to correct any level mismatch between - original and decoded signal that might arise from the noise shaping - and de-emphasis. This gain is computed as the ratio of the - prediction gain of the short-term analysis and synthesis filter - coefficients. The prediction gain of an LPC synthesis filter is the - square-root of the output energy when the filter is excited by a - unit-energy impulse on the input. An efficient way to compute the - prediction gain is by first computing the reflection coefficients - from the LPC coefficients through the step-down algorithm, and - extracting the prediction gain from the reflection coefficients as - - - K - ___ 2 -0.5 - predGain = ( | | 1 - (r_k) ) , - k=1 - - - where r_k is the k'th reflection coefficient. - - Initial values for the quantization gains are computed as the square- - root of the residual energy of the LPC analysis, adjusted by the - coding quality control parameter. These quantization gains are later - adjusted based on the results of the prediction analysis. - -5.2.5. Prefilter - - In the prefilter the input signal is filtered using the spectral - valley de-emphasis filter coefficients from the noise shaping - analysis, see Section 5.2.4. By applying only the noise shaping - analysis filter to the input signal, it provides the input to the - noise shaping quantizer. - -5.2.6. Prediction Analysis - - The prediction analysis is performed in one of two ways depending on - how the pitch estimator classified the frame. The processing for - voiced and unvoiced speech are described in Section 5.2.6.1 and - Section 5.2.6.2, respectively. Inputs to this function include the - pre-whitened signal from the pitch estimator, see Section 5.2.3. - - - - - -Valin, et al. Expires February 17, 2012 [Page 99] - -Internet-Draft Interactive Audio Codec August 2011 - - -5.2.6.1. Voiced Speech - - For a frame of voiced speech the pitch pulses will remain dominant in - the pre-whitened input signal. Further whitening is desirable as it - leads to higher quality at the same available bitrate. To achieve - this, a Long-Term Prediction (LTP) analysis is carried out to - estimate the coefficients of a fifth order LTP filter for each of - four subframes. The LTP coefficients are used to find an LTP - residual signal with the simulated output signal as input to obtain - better modeling of the output signal. This LTP residual signal is - the input to an LPC analysis where the LPCs are estimated using Burgs - method, such that the residual energy is minimized. The estimated - LPCs are converted to a Line Spectral Frequency (LSF) vector, and - quantized as described in Section 5.2.7. After quantization, the - quantized LSF vector is converted to LPC coefficients and hence by - using these quantized coefficients the encoder remains fully - synchronized with the decoder. The LTP coefficients are quantized - using a method described in Section 5.2.8. The quantized LPC and LTP - coefficients are now used to filter the high-pass filtered input - signal and measure a residual energy for each of the four subframes. - -5.2.6.2. Unvoiced Speech - - For a speech signal that has been classified as unvoiced there is no - need for LTP filtering as it has already been determined that the - pre-whitened input signal is not periodic enough within the allowed - pitch period range for an LTP analysis to be worth-while the cost in - terms of complexity and rate. Therefore, the pre-whitened input - signal is discarded and instead the high-pass filtered input signal - is used for LPC analysis using Burgs method. The resulting LPC - coefficients are converted to an LSF vector, quantized as described - in the following section and transformed back to obtain quantized LPC - coefficients. The quantized LPC coefficients are used to filter the - high-pass filtered input signal and measure a residual energy for - each of the four subframes. - -5.2.7. LSF Quantization - - The purpose of quantization in general is to significantly lower the - bit rate at the cost of some introduced distortion. A higher rate - should always result in lower distortion, and lowering the rate will - generally lead to higher distortion. A commonly used but generally - sub-optimal approach is to use a quantization method with a constant - rate where only the error is minimized when quantizing. - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 100] - -Internet-Draft Interactive Audio Codec August 2011 - - -5.2.7.1. Rate-Distortion Optimization - - Instead, we minimize an objective function that consists of a - weighted sum of rate and distortion, and use a codebook with an - associated non-uniform rate table. Thus, we take into account that - the probability mass function for selecting the codebook entries are - by no means guaranteed to be uniform in our scenario. The advantage - of this approach is that it ensures that rarely used codebook vector - centroids, which are modeling statistical outliers in the training - set can be quantized with a low error but with a relatively high cost - in terms of a high rate. At the same time this approach also - provides the advantage that frequently used centroids are modeled - with low error and a relatively low rate. This approach will lead to - equal or lower distortion than the fixed rate codebook at any given - average rate, provided that the data is similar to the data used for - training the codebook. - -5.2.7.2. Error Mapping - - Instead of minimizing the error in the LSF domain, we map the errors - to better approximate spectral distortion by applying an individual - weight to each element in the error vector. The weight vectors are - calculated for each input vector using the Inverse Harmonic Mean - Weighting (IHMW) function proposed by Laroia et al., see - [laroia-icassp]. Consequently, we solve the following minimization - problem, i.e., - - - LSF_q = argmin { (LSF - c)' * W * (LSF - c) + mu * rate }, - c in C - - - where LSF_q is the quantized vector, LSF is the input vector to be - quantized, and c is the quantized LSF vector candidate taken from the - set C of all possible outcomes of the codebook. - -5.2.7.3. Multi-Stage Vector Codebook - - We arrange the codebook in a multiple stage structure to achieve a - quantizer that is both memory efficient and highly scalable in terms - of computational complexity, see e.g. [sinervo-norsig]. In the first - stage the input is the LSF vector to be quantized, and in any other - stage s > 1, the input is the quantization error from the previous - stage, see Figure 14. - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 101] - -Internet-Draft Interactive Audio Codec August 2011 - - - Stage 1: Stage 2: Stage S: - +----------+ +----------+ +----------+ - | c_{1,1} | | c_{2,1} | | c_{S,1} | - LSF +----------+ res_1 +----------+ res_{S-1} +----------+ - --->| c_{1,2} |------>| c_{2,2} |--> ... --->| c_{S,2} |---> - +----------+ +----------+ +----------+ res_S = - ... ... ... LSF-LSF_q - +----------+ +----------+ +----------+ - |c_{1,M1-1}| |c_{2,M2-1}| |c_{S,MS-1}| - +----------+ +----------+ +----------+ - | c_{1,M1} | | c_{2,M2} | | c_{S,MS} | - +----------+ +----------+ +----------+ - - - Multi-Stage LSF Vector Codebook Structure. - - Figure 14 - - By storing total of M codebook vectors, i.e., - - - S - __ - M = \ Ms, - /_ - s=1 - - - where M_s is the number of vectors in stage s, we obtain a total of - - - S - ___ - T = | | Ms - s=1 - - - possible combinations for generating the quantized vector. It is for - example possible to represent 2**36 uniquely combined vectors using - only 216 vectors in memory, as done in SILK for voiced speech at all - sample frequencies above 8 kHz. - -5.2.7.4. Survivor Based Codebook Search - - This number of possible combinations is far too high for a full - search to be carried out for each frame so for all stages but the - last, i.e., s smaller than S, only the best min( L, Ms ) centroids - are carried over to stage s+1. In each stage the objective function, - - - -Valin, et al. Expires February 17, 2012 [Page 102] - -Internet-Draft Interactive Audio Codec August 2011 - - - i.e., the weighted sum of accumulated bitrate and distortion, is - evaluated for each codebook vector entry and the results are sorted. - Only the best paths and the corresponding quantization errors are - considered in the next stage. In the last stage S the single best - path through the multistage codebook is determined. By varying the - maximum number of survivors from each stage to the next L, the - complexity can be adjusted in real-time at the cost of a potential - increase when evaluating the objective function for the resulting - quantized vector. This approach scales all the way between the two - extremes, L=1 being a greedy search, and the desirable but infeasible - full search, L=T/MS. In fact, a performance almost as good as what - can be achieved with the infeasible full search can be obtained at a - substantially lower complexity by using this approach, see e.g. - [leblanc-tsap]. - -5.2.7.5. LSF Stabilization - - If the input is stable, finding the best candidate will usually - result in the quantized vector also being stable, but due to the - multi-stage approach it could in theory happen that the best - quantization candidate is unstable and because of this there is a - need to explicitly ensure that the quantized vectors are stable. - Therefore we apply a LSF stabilization method which ensures that the - LSF parameters are within valid range, increasingly sorted, and have - minimum distances between each other and the border values that have - been pre-determined as the 0.01 percentile distance values from a - large training set. - -5.2.7.6. Off-Line Codebook Training - - The vectors and rate tables for the multi-stage codebook have been - trained by minimizing the average of the objective function for LSF - vectors from a large training set. - -5.2.8. LTP Quantization - - For voiced frames, the prediction analysis described in - Section 5.2.6.1 resulted in four sets (one set per subframe) of five - LTP coefficients, plus four weighting matrices. Also, the LTP - coefficients for each subframe are quantized using entropy - constrained vector quantization. A total of three vector codebooks - are available for quantization, with different rate-distortion trade- - offs. The three codebooks have 10, 20 and 40 vectors and average - rates of about 3, 4, and 5 bits per vector, respectively. - Consequently, the first codebook has larger average quantization - distortion at a lower rate, whereas the last codebook has smaller - average quantization distortion at a higher rate. Given the - weighting matrix W_ltp and LTP vector b, the weighted rate-distortion - - - -Valin, et al. Expires February 17, 2012 [Page 103] - -Internet-Draft Interactive Audio Codec August 2011 - - - measure for a codebook vector cb_i with rate r_i is give by - - - RD = u * (b - cb_i)' * W_ltp * (b - cb_i) + r_i, - - - where u is a fixed, heuristically-determined parameter balancing the - distortion and rate. Which codebook gives the best performance for a - given LTP vector depends on the weighting matrix for that LTP vector. - For example, for a low valued W_ltp, it is advantageous to use the - codebook with 10 vectors as it has a lower average rate. For a large - W_ltp, on the other hand, it is often better to use the codebook with - 40 vectors, as it is more likely to contain the best codebook vector. - The weighting matrix W_ltp depends mostly on two aspects of the input - signal. The first is the periodicity of the signal; the more - periodic the larger W_ltp. The second is the change in signal energy - in the current subframe, relative to the signal one pitch lag - earlier. A decaying energy leads to a larger W_ltp than an - increasing energy. Both aspects do not fluctuate very fast which - causes the W_ltp matrices for different subframes of one frame often - to be similar. As a result, one of the three codebooks typically - gives good performance for all subframes. Therefore the codebook - search for the subframe LTP vectors is constrained to only allow - codebook vectors to be chosen from the same codebook, resulting in a - rate reduction. - - To find the best codebook, each of the three vector codebooks is used - to quantize all subframe LTP vectors and produce a combined weighted - rate-distortion measure for each vector codebook and the vector - codebook with the lowest combined rate-distortion over all subframes - is chosen. The quantized LTP vectors are used in the noise shaping - quantizer, and the index of the codebook plus the four indices for - the four subframe codebook vectors are passed on to the range - encoder. - -5.2.9. Noise Shaping Quantizer - - The noise shaping quantizer independently shapes the signal and - coding noise spectra to obtain a perceptually higher quality at the - same bitrate. - - The prefilter output signal is multiplied with a compensation gain G - computed in the noise shaping analysis. Then the output of a - synthesis shaping filter is added, and the output of a prediction - filter is subtracted to create a residual signal. The residual - signal is multiplied by the inverse quantized quantization gain from - the noise shaping analysis, and input to a scalar quantizer. The - quantization indices of the scalar quantizer represent a signal of - - - -Valin, et al. Expires February 17, 2012 [Page 104] - -Internet-Draft Interactive Audio Codec August 2011 - - - pulses that is input to the pyramid range encoder. The scalar - quantizer also outputs a quantization signal, which is multiplied by - the quantized quantization gain from the noise shaping analysis to - create an excitation signal. The output of the prediction filter is - added to the excitation signal to form the quantized output signal - y(n). The quantized output signal y(n) is input to the synthesis - shaping and prediction filters. - -5.2.10. Range Encoder - - Range encoding is a well known method for entropy coding in which a - bitstream sequence is continually updated with every new symbol, - based on the probability for that symbol. It is similar to - arithmetic coding but rather than being restricted to generating - binary output symbols, it can generate symbols in any chosen number - base. In SILK all side information is range encoded. Each quantized - parameter has its own cumulative density function based on histograms - for the quantization indices obtained by running a training database. - -5.2.10.1. Bitstream Encoding Details - - TBD. - -5.3. CELT Encoder - - Copy from CELT draft. - -5.3.1. Pre-filter - - Inverse of the post-filter - -5.3.2. Forward MDCT - - The MDCT implementation has no special characteristics. The input is - a windowed signal (after pre-emphasis) of 2*N samples and the output - is N frequency-domain samples. A "low-overlap" window is used to - reduce the algorithmic delay. It is derived from a basic (full - overlap) window that is the same as the one used in the Vorbis codec: - - pi pi n + 1/2 2 - W(n) = [sin(-- * sin(-- * -------))] . - 2 2 L - - The low-overlap window is created by zero-padding the basic window - and inserting ones in the middle, such that the resulting window - still satisfies power complementarity. The MDCT is computed in - mdct_forward() (mdct.c), which includes the windowing operation and a - scaling of 2/N. - - - -Valin, et al. Expires February 17, 2012 [Page 105] - -Internet-Draft Interactive Audio Codec August 2011 - - -5.3.3. Bands and Normalization - - The MDCT output is divided into bands that are designed to match the - ear's critical bands for the smallest (2.5 ms) frame size. The - larger frame sizes use integer multiplies of the 2.5 ms layout. For - each band, the encoder computes the energy that will later be - encoded. Each band is then normalized by the square root of the - *unquantized* energy, such that each band now forms a unit vector X. - The energy and the normalization are computed by - compute_band_energies() and normalise_bands() (bands.c), - respectively. - -5.3.4. Energy Envelope Quantization - - It is important to quantize the energy with sufficient resolution - because any energy quantization error cannot be compensated for at a - later stage. Regardless of the resolution used for encoding the - shape of a band, it is perceptually important to preserve the energy - in each band. CELT uses a coarse-fine strategy for encoding the - energy in the base-2 log domain, as implemented in quant_bands.c - -5.3.4.1. Coarse energy quantization - - The coarse quantization of the energy uses a fixed resolution of 6 - dB. To minimize the bitrate, prediction is applied both in time - (using the previous frame) and in frequency (using the previous - bands). The prediction using the previous frame can be disabled, - creating an "intra" frame where the energy is coded without reference - to prior frames. An encoder is able to choose the mode used at will - based on both loss robustness and efficiency considerations. The 2-D - z-transform of the prediction filter is: - - -1 -1 - (1 - alpha*z_l )*(1 - z_b ) - A(z_l, z_b) = ----------------------------- - -1 - 1 - beta*z_b - - where b is the band index and l is the frame index. The prediction - coefficients applied depend on the frame size in use when not using - intra energy and are alpha=0, beta=4915/32768 when using intra - energy. The time-domain prediction is based on the final fine - quantization of the previous frame, while the frequency domain - (within the current frame) prediction is based on coarse quantization - only (because the fine quantization has not been computed yet). The - prediction is clamped internally so that fixed point implementations - with limited dynamic range do not suffer desynchronization. - Identical prediction clamping must be implemented in all encoders and - - - -Valin, et al. Expires February 17, 2012 [Page 106] - -Internet-Draft Interactive Audio Codec August 2011 - - - decoders. We approximate the ideal probability distribution of the - prediction error using a Laplace distribution with separate - parameters for each frame size in intra and inter-frame modes. The - coarse energy quantization is performed by quant_coarse_energy() and - quant_coarse_energy() (quant_bands.c). The encoding of the Laplace- - distributed values is implemented in ec_laplace_encode() (laplace.c). - -5.3.4.2. Fine energy quantization - - After the coarse energy quantization and encoding, the bit allocation - is computed (Section 4.3.3) and the number of bits to use for - refining the energy quantization is determined for each band. Let - B_i be the number of fine energy bits for band i; the refinement is - an integer f in the range [0,2**B_i-1]. The mapping between f and - the correction applied to the coarse energy is equal to (f+1/2)/ - 2**B_i - 1/2. Fine energy quantization is implemented in - quant_fine_energy() (quant_bands.c). - - If any bits are unused at the end of the encoding process, these bits - are used to increase the resolution of the fine energy encoding in - some bands. Priority is given to the bands for which the allocation - (Section 4.3.3) was rounded down. At the same level of priority, - lower bands are encoded first. Refinement bits are added until there - is no more room for fine energy or until each band has gained an - additional bit of precision or has the maximum fine energy precision. - This is implemented in quant_energy_finalise() (quant_bands.c). - -5.3.5. Spherical Vector Quantization - - CELT uses a Pyramid Vector Quantization (PVQ) [PVQ] codebook for - quantizing the details of the spectrum in each band that have not - been predicted by the pitch predictor. The PVQ codebook consists of - all sums of K signed pulses in a vector of N samples, where two - pulses at the same position are required to have the same sign. Thus - the codebook includes all integer codevectors y of N dimensions that - satisfy sum(abs(y(j))) = K. - - In bands where there are sufficient bits allocated the PVQ is used to - encode the unit vector that results from the normalization in - Section 5.3.3 directly. Given a PVQ codevector y, the unit vector X - is obtained as X = y/||y||, where ||.|| denotes the L2 norm. - -5.3.5.1. PVQ Search - - The search for the best codevector y is performed by alg_quant() - (vq.c). There are several possible approaches to the search with a - tradeoff between quality and complexity. The method used in the - reference implementation computes an initial codeword y1 by - - - -Valin, et al. Expires February 17, 2012 [Page 107] - -Internet-Draft Interactive Audio Codec August 2011 - - - projecting the residual signal R = X - p' onto the codebook pyramid - of K-1 pulses: - - y0 = round_towards_zero( (K-1) * R / sum(abs(R))) - - Depending on N, K and the input data, the initial codeword y0 may - contain from 0 to K-1 non-zero values. All the remaining pulses, - with the exception of the last one, are found iteratively with a - greedy search that minimizes the normalized correlation between y and - R: - - T - J = -R * y / ||y|| - - The search described above is considered to be a good trade-off - between quality and computational cost. However, there are other - possible ways to search the PVQ codebook and the implementers MAY use - any other search methods. - -5.3.5.2. Index Encoding - - The best PVQ codeword is encoded as a uniformly-distributed integer - value by encode_pulses() (cwrs.c). The codeword is converted from a - unique index in the same way as specified in [PVQ]. The indexing is - based on the calculation of V(N,K) (denoted N(L,K) in [PVQ]), which - is the number of possible combinations of K pulses in N samples. - -5.3.6. Stereo support - - When encoding a stereo stream, some parameters are shared across the - left and right channels, while others are transmitted separately for - each channel, or jointly encoded. Only one copy of the flags for the - features, transients and pitch (pitch period and filter parameters) - are transmitted. The coarse and fine energy parameters are - transmitted separately for each channel. Both the coarse energy and - fine energy (including the remaining fine bits at the end of the - stream) have the left and right bands interleaved in the stream, with - the left band encoded first. - - The main difference between mono and stereo coding is the PVQ coding - of the normalized vectors. In stereo mode, a normalized mid-side - (M-S) encoding is used. Let L and R be the normalized vector of a - certain band for the left and right channels, respectively. The mid - and side vectors are computed as M=L+R and S=L-R and no longer have - unit norm. - - From M and S, an angular parameter theta=2/pi*atan2(||S||, ||M||) is - computed. The theta parameter is converted to a Q14 fixed-point - - - -Valin, et al. Expires February 17, 2012 [Page 108] - -Internet-Draft Interactive Audio Codec August 2011 - - - parameter itheta, which is quantized on a scale from 0 to 1 with an - interval of 2**(-qb), where qb is based the number of bits allocated - to the band. From here on, the value of itheta MUST be treated in a - bit-exact manner since both the encoder and decoder rely on it to - infer the bit allocation. - - Let m=M/||M|| and s=S/||S||; m and s are separately encoded with the - PVQ encoder described in Section 5.3.5. The number of bits allocated - to m and s depends on the value of itheta. - -5.3.7. Synthesis - - After all the quantization is completed, the quantized energy is used - along with the quantized normalized band data to resynthesize the - MDCT spectrum. The inverse MDCT (Section 4.3.7) and the weighted - overlap-add are applied and the signal is stored in the "synthesis - buffer". The encoder MAY omit this step of the processing if it does - not need the decoded output. - -5.3.8. Variable Bitrate (VBR) - - Each CELT frame can be encoded in a different number of octets, - making it possible to vary the bitrate at will. This property can be - used to implement source-controlled variable bitrate (VBR). Support - for VBR is OPTIONAL for the encoder, but a decoder MUST be prepared - to decode a stream that changes its bitrate dynamically. The method - used to vary the bitrate in VBR mode is left to the implementer, as - long as each frame can be decoded by the reference decoder. - - - - - - - - - - - - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 109] - -Internet-Draft Interactive Audio Codec August 2011 - - -6. Conformance - - It is the intention to allow the greatest possible choice of freedom - in implementing the specification. For this reason, outside of a few - exceptions noted in this section, conformance is defined through the - reference implementation of the decoder provided in Appendix A. - Although this document includes an English description of the codec, - should the description contradict the source code of the reference - implementation, the latter shall take precedence. - - Compliance with this specification means that a decoder's output MUST - be within the thresholds specified by the opus_compare.c tool in - Appendix B compared to the reference implementation. - - To complement the Opus specification, the "Opus Custom" codec is - defined to handle special sampling rates and frame rates that are not - supported by the main Opus specification. Use of Opus Custom is - discouraged for all but very special applications for which a frame - size different from 2.5, 5, 10, 20 ms is needed (for either - complexity or latency reasons). Such applications will not be - compatible with the "main" Opus codec. In Opus Custom operation, - only the CELT later is available, which is available using the celt_* - function calls in celt.h. - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 110] - -Internet-Draft Interactive Audio Codec August 2011 - - -7. Security Considerations - - The codec needs to take appropriate security considerations into - account, as outlined in [DOS] and [SECGUIDE]. It is extremely - important for the decoder to be robust against malicious payloads. - Malicious payloads must not cause the decoder to overrun its - allocated memory or to take an excessive amount of resources to - decode. Although problems in encoders are typically rarer, the same - applies to the encoder. Malicious audio stream must not cause the - encoder to misbehave because this would allow an attacker to attack - transcoding gateways. - - The reference implementation contains no known buffer overflow or - cases where a specially crafted packet or audio segment could cause a - significant increase in CPU load. However, on certain CPU - architectures where denormalized floating-point operations are much - slower than normal floating-point operations it is possible for some - audio content (e.g., silence or near-silence) to cause such an - increase in CPU load. Denormals can be introduced by reordering - operations in the compiler and depend on the target architecture, so - it is difficult to guarantee an implementation avoids them. For such - architectures, it is RECOMMENDED that one add very small floating- - point offsets to prevent significant numbers of denormalized - operations or to configure the hardware to treat denormals as zero - (DAZ). No such issue exists for the fixed-point reference - implementation. - - - - - - - - - - - - - - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 111] - -Internet-Draft Interactive Audio Codec August 2011 - - -8. IANA Considerations - - This document has no actions for IANA. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 112] - -Internet-Draft Interactive Audio Codec August 2011 - - -9. Acknowledgments - - Thanks to all other developers, including Raymond Chen, Soeren Skak - Jensen, Gregory Maxwell, Christopher Montgomery, and Karsten Vandborg - Soerensen. We would also like to thank Igor Dyakonov, Jan Skoglund - for their help with subjective testing of the Opus codec. Thanks to - John Ridges, Keith Yan and many others on the Opus and CELT mailing - lists for their bug reports and feeback. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 113] - -Internet-Draft Interactive Audio Codec August 2011 - - -10. Informative References - - [SILK] Vos, K., Jensen, S., and K. Soerensen, "SILK Speech - Codec", draft-vos-silk-01 (work in progress), March 2010. - - [laroia-icassp] - Laroia, R., Phamdo, N., and N. Farvardin, "Robust and - Efficient Quantization of Speech LSP Parameters Using - Structured Vector Quantization", ICASSP-1991, Proc. IEEE - Int. Conf. Acoust., Speech, Signal Processing, pp. 641- - 644, October 1991. - - [sinervo-norsig] - Sinervo, U., Nurminen, J., Heikkinen, A., and J. Saarinen, - "Evaluation of Split and Multistage Techniques in LSF - Quantization", NORSIG-2001, Norsk symposium i - signalbehandling, Trondheim, Norge, October 2001. - - [leblanc-tsap] - LeBlanc, W., Bhattacharya, B., Mahmoud, S., and V. - Cuperman, "Efficient Search and Design Procedures for - Robust Multi-Stage VQ of LPC Parameters for 4 kb/s Speech - Coding", IEEE Transactions on Speech and Audio Processing, - Vol. 1, No. 4, October 1993. - - [CELT] Valin, J-M., Terriberry, T., Maxwell, G., and C. - Montgomery, "Constrained-Energy Lapped Transform (CELT) - Codec", draft-valin-celt-codec-02 (work in progress), - July 2010. - - [DOS] Handley, M., Rescorla, E., and IAB, "Internet Denial-of- - Service Considerations", RFC 4732, December 2006. - - [SECGUIDE] - Rescorla, E. and B. Korver, "Guidelines for Writing RFC - Text on Security Considerations", BCP 72, RFC 3552, - July 2003. - - [range-coding] - Nigel, G. and N. Martin, "Range encoding: An algorithm for - removing redundancy from a digitised message", Proc. - Institution of Electronic and Radio Engineers - International Conference on Video and Data Recording , - 1979. - - [coding-thesis] - Pasco, R., "Source coding algorithms for fast data - compression", Ph.D. thesis Dept. of Electrical - - - -Valin, et al. Expires February 17, 2012 [Page 114] - -Internet-Draft Interactive Audio Codec August 2011 - - - Engineering, Stanford University, May 1976. - - [PVQ] Fischer, T., "A Pyramid Vector Quantizer", IEEE Trans. on - Information Theory, Vol. 32 pp. 568-583, July 1986. - - [1] - - [2] - - [3] - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 115] - -Internet-Draft Interactive Audio Codec August 2011 - - -Appendix A. Reference Implementation - - This appendix contains the complete source code for the reference - implementation of the Opus codec written in C. This implementation - can be compiled for either floating-point or fixed-point - architectures. - - The implementation can be compiled with either a C89 or a C99 - compiler. It is reasonably optimized for most platforms such that - only architecture-specific optimizations are likely to be useful. - The FFT used is a slightly modified version of the KISS-FFT package, - but it is easy to substitute any other FFT library. - -A.1. Extracting the source - - The complete source code can be extracted from this draft, by running - the following command line: - - o cat draft-ietf-codec-opus.txt | grep '^\ \ \ ###' | sed - 's/\s\s\s###//' | base64 -d > opus_source.tar.gz - - o tar xzvf opus_source.tar.gz - - o cd opus_source - - o make - -A.2. Development Versions - - The current development version of the source code is available in a - Git repository [3]. Development snapshots are provided at - . - -A.3. 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Expires February 17, 2012 [Page 260] - -Internet-Draft Interactive Audio Codec August 2011 - - -Appendix B. opus_compare.c - - - - #include - #include - #include - #include - - #define OPUS_PI (3.14159265F) - - #define OPUS_MIN(_x,_y) ((_x)<(_y)?(_x):(_y)) - #define OPUS_MAX(_x,_y) ((_x)>(_y)?(_x):(_y)) - #define OPUS_CLAMP(_a,_b,_c) OPUS_MAX(_a,OPUS_MIN(_b,_c)) - #define OPUS_COSF(_x) ((float)cos(_x)) - #define OPUS_SINF(_x) ((float)sin(_x)) - #define OPUS_SQRTF(_x) ((float)sqrt(_x)) - #define OPUS_LOG10F(_x) ((float)log10(_x)) - - static void *check_alloc(void *_ptr){ - if(_ptr==NULL){ - fprintf(stderr,"Out of memory.\n"); - exit(EXIT_FAILURE); - } - return _ptr; - } - - static void *opus_malloc(size_t _size){ - return check_alloc(malloc(_size)); - } - - static void *opus_realloc(void *_ptr,size_t _size){ - return check_alloc(realloc(_ptr,_size)); - } - - static size_t read_pcm16(float **_samples,FILE *_fin, - int _nchannels){ - unsigned char buf[1024]; - float *samples; - size_t nsamples; - size_t csamples; - size_t xi; - size_t nread; - samples=NULL; - nsamples=csamples=0; - for(;;){ - nread=fread(buf,2*_nchannels,1024/(2*_nchannels),_fin); - if(nread<=0)break; - - - -Valin, et al. Expires February 17, 2012 [Page 261] - -Internet-Draft Interactive Audio Codec August 2011 - - - if(nsamples+nread>csamples){ - do csamples=csamples<<1|1; - while(nsamples+nread>csamples); - samples=(float *)opus_realloc(samples, - _nchannels*csamples*sizeof(*samples)); - } - for(xi=0;xi=_window_sz)ti-=_window_sz; - } - p+=OPUS_SQRTF(re*re+im*im); - } - p*=(1.0F/_nchannels); - e2+=p*p; - } - _out[xi*_nbands+bi]=e2/(_bands[bi+1]-_bands[bi])+1; - } - } - free(window); - } - - static int cmp_float(const void *_a,const void *_b){ - float a; - float b; - a=*(const float *)_a; - b=*(const float *)_b; - return (a>b)-(a>1) - - int main(int _argc,const char **_argv){ - FILE *fin1; - FILE *fin2; - float *x; - float *y; - float *xb; - float *eb; - float *nmr; - float thresh; - float mismatch; - float err; - float nmr_sum; - size_t weight; - size_t xlength; - size_t ylength; - size_t nframes; - size_t xi; - int bi; - int nchannels; - if(_argc<3||_argc>4){ - fprintf(stderr,"Usage: %s [-s] \n", - _argv[0]); - return EXIT_FAILURE; - } - nchannels=1; - if(strcmp(_argv[1],"-s")==0)nchannels=2; - fin1=fopen(_argv[nchannels],"rb"); - - - -Valin, et al. Expires February 17, 2012 [Page 264] - -Internet-Draft Interactive Audio Codec August 2011 - - - if(fin1==NULL){ - fprintf(stderr,"Error opening '%s'.\n",_argv[nchannels]); - return EXIT_FAILURE; - } - fin2=fopen(_argv[nchannels+1],"rb"); - if(fin2==NULL){ - fprintf(stderr,"Error opening '%s'.\n",_argv[nchannels+1]); - fclose(fin1); - return EXIT_FAILURE; - } - /*Read in the data and allocate scratch space.*/ - xlength=read_pcm16(&x,fin1,nchannels); - fclose(fin1); - ylength=read_pcm16(&y,fin2,nchannels); - fclose(fin2); - if(xlength!=ylength){ - fprintf(stderr,"Sample counts do not match (%lu!=%lu).\n", - (unsigned long)xlength,(unsigned long)ylength); - return EXIT_FAILURE; - } - if(xlength0;) - xb[xi*NBANDS+bi]+=0.03F*xb[xi*NBANDS+bi+1]; - if(xi>0){ - /*Temporal masking: 5 dB/5ms slope.*/ - for(bi=0;bithresh){ - mismatch+=NMR_THRESH[bi]/nmr[xi*NBANDS+bi]; - weight++; - } - } - } - free(nmr); - free(eb); - printf("Average pseudo-NMR: %3.2f dB\n",nmr_sum/(nframes*NBANDS)); - if(weight<=0){ - err=-100; - printf("Mismatch level: below noise floor\n"); - } - else{ - err=10*OPUS_LOG10F(mismatch/weight); - printf("Weighted mismatch: %3.2f dB\n",err); - } - printf("\n"); - if(err<0){ - printf("**Decoder PASSES test (mismatch < 0 dB)\n"); - return EXIT_SUCCESS; - } - printf("**Decoder FAILS test (mismatch >= 0 dB)\n"); - return EXIT_FAILURE; - } - - - -Valin, et al. Expires February 17, 2012 [Page 266] - -Internet-Draft Interactive Audio Codec August 2011 - - -Appendix C. Self-Delimiting Framing - - To use the internal framing described in Section 3, the decoder must - know the total length of the Opus packet, in bytes. This section - describes a simple variation of that framing which can be used when - the total length of the packet is not known. Nothing in the encoding - of the packet itself allows a decoder to distinguish between the - regular, undelimited framing and the self-delimiting framing - described in this appendix. Which one is used and where must be - established by context at the transport layer. It is RECOMMENDED - that a transport layer choose exactly one framing scheme, rather than - allowing an encoder to signal which one it wants to use. - - For example, although a regular Opus stream does not support more - than two channels, a multi-channel Opus stream may be formed from - several one- and two-channel streams. To pack an Opus packets from - each of these streams together in a single packet at the transport - layer, one could use the self-delimiting framing for all but the last - stream, and then the regular, undelimited framing for the last one. - Reverting to the undelimited framing for the last stream saves - overhead (because the total size of the transport-layer packet will - still be known), and ensures that a "multi-channel" stream which only - has a single Opus stream uses the same framing as a regular Opus - stream does. This avoids the need for signaling to distinguish these - two cases. - - The self-delimiting framing is identical to the regular, undelimited - framing from Section 3, except that each Opus packet contains one - extra length field, encoded using the same one- or two-byte scheme - from Section 3.2.1. This extra length immediately precedes the - compressed data of the first Opus frame in the packet, and is - interpreted in the various modes as follows: - - o Code 0 packets: It is the length of the single Opus frame (see - Figure 15). - - o Code 1 packets: It is the length used for both of the Opus frames - (see Figure 16). - - o Code 2 packets: It is the length of the second Opus frame (see - Figure 17). - - o CBR Code 3 packets: It is the length used for all of the Opus - frames (see Figure 18). - - o VBR Code 3 packets: It is the length of the last Opus frame (see - Figure 19). - - - - -Valin, et al. Expires February 17, 2012 [Page 267] - -Internet-Draft Interactive Audio Codec August 2011 - - - 0 1 2 3 - 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - |0|0|s| config | N1 (1-2 bytes): | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ | - | Compressed frame 1 (N1 bytes)... : - : | - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - - Figure 15: A Self-Delimited Code 0 Packet - - - 0 1 2 3 - 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - |1|0|s| config | N1 (1-2 bytes): | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ : - | Compressed frame 1 (N1 bytes)... | - : +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - | | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ : - | Compressed frame 2 (N1 bytes)... | - : +-+-+-+-+-+-+-+-+ - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - - Figure 16: A Self-Delimited Code 1 Packet - - - 0 1 2 3 - 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - |0|1|s| config | N1 (1-2 bytes): N2 (1-2 bytes : | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ : - | Compressed frame 1 (N1 bytes)... | - : +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - | | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ | - | Compressed frame 2 (N2 bytes)... : - : | - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - - Figure 17: A Self-Delimited Code 2 Packet - - - - - - -Valin, et al. Expires February 17, 2012 [Page 268] - -Internet-Draft Interactive Audio Codec August 2011 - - - 0 1 2 3 - 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - |1|1|s| config | M |p|0| Pad len (Opt) : N1 (1-2 bytes): - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - | | - : Compressed frame 1 (N1 bytes)... : - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - | | - : Compressed frame 2 (N1 bytes)... : - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - | | - : ... : - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - | | - : Compressed frame M (N1 bytes)... : - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - : Opus Padding (Optional)... | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - - Figure 18: A Self-Delimited CBR Code 3 Packet - - - - - - - - - - - - - - - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 269] - -Internet-Draft Interactive Audio Codec August 2011 - - - 0 1 2 3 - 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - |1|1|s| config | M |p|1| Padding length (Optional) : - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - : N1 (1-2 bytes): ... : N[M-1] | N[M] : - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - | | - : Compressed frame 1 (N1 bytes)... : - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - | | - : Compressed frame 2 (N2 bytes)... : - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - | | - : ... : - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - | | - : Compressed frame M (N[M] bytes)... : - | | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - : Opus Padding (Optional)... | - +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ - - Figure 19: A Self-Delimited VBR Code 3 Packet - - - - - - - - - - - - - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 270] - -Internet-Draft Interactive Audio Codec August 2011 - - -Authors' Addresses - - Jean-Marc Valin - Octasic Inc. - 4101, Molson Street - Montreal, Quebec - Canada - - Phone: +1 514 282-8858 - Email: jmvalin@jmvalin.ca - - - Koen Vos - Skype Technologies S.A. - Stadsgarden 6 - Stockholm, 11645 - SE - - Phone: +46 855 921 989 - Email: koen.vos@skype.net - - - Timothy Terriberry - Mozilla Corporation - 650 Castro Street - Mountain View, CA 94041 - USA - - Phone: +1 650 903-0800 - Email: tterriberry@mozilla.com - - - - - - - - - - - - - - - - - - - - - -Valin, et al. Expires February 17, 2012 [Page 271] - diff --git a/draft-ietf-codec-opus-10.txt b/draft-ietf-codec-opus-10.txt new file mode 100644 index 0000000..5b1c89f --- /dev/null +++ b/draft-ietf-codec-opus-10.txt @@ -0,0 +1,18032 @@ + + + +Network Working Group JM. Valin +Internet-Draft Mozilla Corporation +Intended status: Standards Track K. Vos +Expires: May 3, 2012 Skype Technologies S.A. + T. Terriberry + Mozilla Corporation + October 31, 2011 + + + Definition of the Opus Audio Codec + draft-ietf-codec-opus-10 + +Abstract + + This document defines the Opus interactive speech and audio codec. + Opus is designed to handle a wide range of interactive audio + applications, including Voice over IP, videoconferencing, in-game + chat, and even live, distributed music performances. It scales from + low bit-rate narrowband speech at 6 kb/s to very high quality stereo + music at 510 kb/s. Opus uses both linear prediction (LP) and the + Modified Discrete Cosine Transform (MDCT) to achieve good compression + of both speech and music. + +Status of this Memo + + This Internet-Draft is submitted in full conformance with the + provisions of BCP 78 and BCP 79. + + Internet-Drafts are working documents of the Internet Engineering + Task Force (IETF). Note that other groups may also distribute + working documents as Internet-Drafts. The list of current Internet- + Drafts is at http://datatracker.ietf.org/drafts/current/. + + Internet-Drafts are draft documents valid for a maximum of six months + and may be updated, replaced, or obsoleted by other documents at any + time. It is inappropriate to use Internet-Drafts as reference + material or to cite them other than as "work in progress." + + This Internet-Draft will expire on May 3, 2012. + +Copyright Notice + + Copyright (c) 2011 IETF Trust and the persons identified as the + document authors. All rights reserved. + + This document is subject to BCP 78 and the IETF Trust's Legal + Provisions Relating to IETF Documents + (http://trustee.ietf.org/license-info) in effect on the date of + + + +Valin, et al. Expires May 3, 2012 [Page 1] + +Internet-Draft Interactive Audio Codec October 2011 + + + publication of this document. Please review these documents + carefully, as they describe your rights and restrictions with respect + to this document. Code Components extracted from this document must + include Simplified BSD License text as described in Section 4.e of + the Trust Legal Provisions and are provided without warranty as + described in the Simplified BSD License. + + +Table of Contents + + 1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . 5 + 1.1. Notation and Conventions . . . . . . . . . . . . . . . . 6 + 2. Opus Codec Overview . . . . . . . . . . . . . . . . . . . . . 8 + 2.1. Control Parameters . . . . . . . . . . . . . . . . . . . 10 + 2.1.1. Bitrate . . . . . . . . . . . . . . . . . . . . . . . 10 + 2.1.2. Number of channels (mono/stereo) . . . . . . . . . . 11 + 2.1.3. Audio bandwidth . . . . . . . . . . . . . . . . . . . 11 + 2.1.4. Frame duration . . . . . . . . . . . . . . . . . . . 11 + 2.1.5. Complexity . . . . . . . . . . . . . . . . . . . . . 11 + 2.1.6. Packet loss resilience . . . . . . . . . . . . . . . 12 + 2.1.7. Forward error correction (FEC) . . . . . . . . . . . 12 + 2.1.8. Constant/variable bit-rate . . . . . . . . . . . . . 12 + 2.1.9. Discontinuous transmission (DTX) . . . . . . . . . . 12 + 3. Internal Framing . . . . . . . . . . . . . . . . . . . . . . 13 + 3.1. The TOC Byte . . . . . . . . . . . . . . . . . . . . . . 13 + 3.2. Frame Packing . . . . . . . . . . . . . . . . . . . . . . 15 + 3.2.1. Frame Length Coding . . . . . . . . . . . . . . . . . 15 + 3.2.2. Code 0: One Frame in the Packet . . . . . . . . . . . 16 + 3.2.3. Code 1: Two Frames in the Packet, Each with Equal + Compressed Size . . . . . . . . . . . . . . . . . . . 16 + 3.2.4. Code 2: Two Frames in the Packet, with Different + Compressed Sizes . . . . . . . . . . . . . . . . . . 16 + 3.2.5. Code 3: An Arbitrary Number of Frames in the Packet . 17 + 3.3. Examples . . . . . . . . . . . . . . . . . . . . . . . . 20 + 3.4. Extending Opus . . . . . . . . . . . . . . . . . . . . . 21 + 4. Opus Decoder . . . . . . . . . . . . . . . . . . . . . . . . 22 + 4.1. Range Decoder . . . . . . . . . . . . . . . . . . . . . . 22 + 4.1.1. Decoding Symbols . . . . . . . . . . . . . . . . . . 24 + 4.1.2. Alternate Decoding Methods . . . . . . . . . . . . . 25 + 4.1.3. Decoding Raw Bits . . . . . . . . . . . . . . . . . . 27 + 4.1.4. Decoding Uniformly Distributed Integers . . . . . . . 27 + 4.1.5. Current Bit Usage . . . . . . . . . . . . . . . . . . 28 + 4.2. SILK Decoder . . . . . . . . . . . . . . . . . . . . . . 30 + 4.2.1. SILK Decoder Modules . . . . . . . . . . . . . . . . 30 + 4.2.2. LP Layer Organization . . . . . . . . . . . . . . . . 32 + 4.2.3. Header Bits . . . . . . . . . . . . . . . . . . . . . 34 + 4.2.4. Per-Frame LBRR Flags . . . . . . . . . . . . . . . . 35 + 4.2.5. LBRR Frames . . . . . . . . . . . . . . . . . . . . . 35 + + + +Valin, et al. Expires May 3, 2012 [Page 2] + +Internet-Draft Interactive Audio Codec October 2011 + + + 4.2.6. Regular SILK Frames . . . . . . . . . . . . . . . . . 36 + 4.2.7. SILK Frame Contents . . . . . . . . . . . . . . . . . 36 + 4.2.7.1. Stereo Prediction Weights . . . . . . . . . . . . 39 + 4.2.7.2. Mid-only Flag . . . . . . . . . . . . . . . . . . 41 + 4.2.7.3. Frame Type . . . . . . . . . . . . . . . . . . . 42 + 4.2.7.4. Subframe Gains . . . . . . . . . . . . . . . . . 43 + 4.2.7.5. Normalized Line Spectral Frequency (LSF) and + Linear Predictive Coding (LPC) Coefficients . . . 45 + 4.2.7.6. Long-Term Prediction (LTP) Parameters . . . . . . 72 + 4.2.7.7. Linear Congruential Generator (LCG) Seed . . . . 84 + 4.2.7.8. Excitation . . . . . . . . . . . . . . . . . . . 84 + 4.2.7.9. SILK Frame Reconstruction . . . . . . . . . . . . 96 + 4.2.8. Stereo Unmixing . . . . . . . . . . . . . . . . . . . 99 + 4.2.9. Resampling . . . . . . . . . . . . . . . . . . . . . 100 + 4.3. CELT Decoder . . . . . . . . . . . . . . . . . . . . . . 101 + 4.3.1. Transient Decoding . . . . . . . . . . . . . . . . . 103 + 4.3.2. Energy Envelope Decoding . . . . . . . . . . . . . . 104 + 4.3.3. Bit Allocation . . . . . . . . . . . . . . . . . . . 105 + 4.3.4. Shape Decoding . . . . . . . . . . . . . . . . . . . 110 + 4.3.5. Anti-Collapse Processing . . . . . . . . . . . . . . 114 + 4.3.6. Denormalization . . . . . . . . . . . . . . . . . . . 114 + 4.3.7. Inverse MDCT . . . . . . . . . . . . . . . . . . . . 114 + 4.4. Packet Loss Concealment (PLC) . . . . . . . . . . . . . . 116 + 4.4.1. Clock Drift Compensation . . . . . . . . . . . . . . 116 + 4.5. Configuration Switching . . . . . . . . . . . . . . . . . 117 + 4.5.1. Transition Side Information (Redundancy) . . . . . . 118 + 4.5.2. State Reset . . . . . . . . . . . . . . . . . . . . . 121 + 4.5.3. Summary of Transitions . . . . . . . . . . . . . . . 121 + 5. Opus Encoder . . . . . . . . . . . . . . . . . . . . . . . . 124 + 5.1. Range Coder . . . . . . . . . . . . . . . . . . . . . . . 125 + 5.1.1. Encoding Symbols . . . . . . . . . . . . . . . . . . 125 + 5.1.2. Encoding Raw Bits . . . . . . . . . . . . . . . . . . 126 + 5.1.3. Encoding Uniformly Distributed Integers . . . . . . . 127 + 5.1.4. Finalizing the Stream . . . . . . . . . . . . . . . . 127 + 5.1.5. Current Bit Usage . . . . . . . . . . . . . . . . . . 127 + 5.2. SILK Encoder . . . . . . . . . . . . . . . . . . . . . . 128 + 5.2.1. Sample Rate Conversion . . . . . . . . . . . . . . . 128 + 5.2.2. Stereo Mixing . . . . . . . . . . . . . . . . . . . . 128 + 5.2.3. SILK Core Encoder . . . . . . . . . . . . . . . . . . 129 + 5.3. CELT Encoder . . . . . . . . . . . . . . . . . . . . . . 142 + 5.3.1. Pitch Prefilter . . . . . . . . . . . . . . . . . . . 142 + 5.3.2. Bands and Normalization . . . . . . . . . . . . . . . 143 + 5.3.3. Energy Envelope Quantization . . . . . . . . . . . . 143 + 5.3.4. Bit allocation . . . . . . . . . . . . . . . . . . . 143 + 5.3.5. Stereo decisions . . . . . . . . . . . . . . . . . . 144 + 5.3.6. Time-Frequency Decision . . . . . . . . . . . . . . . 145 + 5.3.7. Spreading Values Decision . . . . . . . . . . . . . . 146 + 5.3.8. Spherical Vector Quantization . . . . . . . . . . . . 146 + + + +Valin, et al. Expires May 3, 2012 [Page 3] + +Internet-Draft Interactive Audio Codec October 2011 + + + 6. Conformance . . . . . . . . . . . . . . . . . . . . . . . . . 148 + 6.1. Testing . . . . . . . . . . . . . . . . . . . . . . . . . 148 + 6.2. Opus Custom . . . . . . . . . . . . . . . . . . . . . . . 149 + 7. Security Considerations . . . . . . . . . . . . . . . . . . . 150 + 8. IANA Considerations . . . . . . . . . . . . . . . . . . . . . 152 + 9. Acknowledgements . . . . . . . . . . . . . . . . . . . . . . 153 + 10. References . . . . . . . . . . . . . . . . . . . . . . . . . 154 + 10.1. Normative References . . . . . . . . . . . . . . . . . . 154 + 10.2. Informative References . . . . . . . . . . . . . . . . . 154 + Appendix A. Reference Implementation . . . . . . . . . . . . . . 157 + A.1. Extracting the source . . . . . . . . . . . . . . . . . . 157 + A.2. Development Versions . . . . . . . . . . . . . . . . . . 158 + A.3. Base64-encoded source code . . . . . . . . . . . . . . . 158 + A.4. Test vectors . . . . . . . . . . . . . . . . . . . . . . 316 + Appendix B. Self-Delimiting Framing . . . . . . . . . . . . . . 318 + Authors' Addresses . . . . . . . . . . . . . . . . . . . . . . . 322 + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 4] + +Internet-Draft Interactive Audio Codec October 2011 + + +1. Introduction + + The Opus codec is a real-time interactive audio codec designed to + meet the requirements described in [requirements]. It is composed of + a linear prediction (LP)-based layer and a Modified Discrete Cosine + Transform (MDCT)-based layer. The main idea behind using two layers + is that in speech, linear prediction techniques (such as CELP) code + low frequencies more efficiently than transform (e.g., MDCT) domain + techniques, while the situation is reversed for music and higher + speech frequencies. Thus a codec with both layers available can + operate over a wider range than either one alone and, by combining + them, achieve better quality than either one individually. + + The primary normative part of this specification is provided by the + source code in Appendix A. Only the decoder portion of this software + is normative, though a significant amount of code is shared by both + the encoder and decoder. The decoder contains significant amounts of + integer and fixed-point arithmetic which must be performed exactly, + including all rounding considerations, so any useful specification + must make extensive use of domain-specific symbolic language to + adequately define these operations. Additionally, any conflict + between the symbolic representation and the included reference + implementation must be resolved. For the practical reasons of + compatibility and testability it would be advantageous to give the + reference implementation priority in any disagreement. The C + language is also one of the most widely understood human-readable + symbolic representations for machine behavior. For these reasons + this RFC uses the reference implementation as the sole symbolic + representation of the codec. + + While the symbolic representation is unambiguous and complete it is + not always the easiest way to understand the codec's operation. For + this reason this document also describes significant parts of the + codec in English and takes the opportunity to explain the rationale + behind many of the more surprising elements of the design. These + descriptions are intended to be accurate and informative, but the + limitations of common English sometimes result in ambiguity, so it is + expected that the reader will always read them alongside the symbolic + representation. Numerous references to the implementation are + provided for this purpose. The descriptions sometimes differ from + the reference in ordering or through mathematical simplification + wherever such deviation makes an explanation easier to understand. + For example, the right shift and left shift operations in the + reference implementation are often described using division and + multiplication in the text. In general, the text is focused on the + "what" and "why" while the symbolic representation most clearly + provides the "how". + + + + +Valin, et al. Expires May 3, 2012 [Page 5] + +Internet-Draft Interactive Audio Codec October 2011 + + +1.1. Notation and Conventions + + The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", + "SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this + document are to be interpreted as described in RFC 2119 [rfc2119]. + + Even when using floating-point, various operations in the codec + require bit-exact fixed-point behavior. The notation "Q", where n + is an integer, denotes the number of binary digits to the right of + the decimal point in a fixed-point number. For example, a signed Q14 + value in a 16-bit word can represent values from -2.0 to + 1.99993896484375, inclusive. This notation is for informational + purposes only. Arithmetic, when described, always operates on the + underlying integer. E.g., the text will explicitly indicate any + shifts required after a multiplication. + + Expressions, where included in the text, follow C operator rules and + precedence, with the exception that the syntax "x**y" is used to + indicate x raised to the power y. The text also makes use of the + following functions: + +1.1.1. min(x,y) + + The smallest of two values x and y. + +1.1.2. max(x,y) + + The largest of two values x and y. + +1.1.3. clamp(lo,x,hi) + + clamp(lo,x,hi) = max(lo,min(x,hi)) + + With this definition, if lo > hi, the lower bound is the one that is + enforced. + +1.1.4. sign(x) + + The sign of x, i.e., + + ( -1, x < 0 , + sign(x) = < 0, x == 0 , + ( 1, x > 0 . + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 6] + +Internet-Draft Interactive Audio Codec October 2011 + + +1.1.5. log2(f) + + The base-two logarithm of f. + +1.1.6. ilog(n) + + The minimum number of bits required to store a positive integer n in + two's complement notation, or 0 for a non-positive integer n. + + ( 0, n <= 0, + ilog(n) = < + ( floor(log2(n))+1, n > 0 + + Examples: + + o ilog(-1) = 0 + + o ilog(0) = 0 + + o ilog(1) = 1 + + o ilog(2) = 2 + + o ilog(3) = 2 + + o ilog(4) = 3 + + o ilog(7) = 3 + + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 7] + +Internet-Draft Interactive Audio Codec October 2011 + + +2. Opus Codec Overview + + The Opus codec scales from 6 kb/s narrowband mono speech to 510 kb/s + fullband stereo music, with algorithmic delays ranging from 5 ms to + 65.2 ms. At any given time, either the LP layer, the MDCT layer, or + both, may be active. It can seamlessly switch between all of its + various operating modes, giving it a great deal of flexibility to + adapt to varying content and network conditions without renegotiating + the current session. The codec allows input and output of various + audio bandwidths, defined as follows: + + +----------------------+-----------------+-------------------------+ + | Abbreviation | Audio Bandwidth | Sample Rate (Effective) | + +----------------------+-----------------+-------------------------+ + | NB (narrowband) | 4 kHz | 8 kHz | + | | | | + | MB (medium-band) | 6 kHz | 12 kHz | + | | | | + | WB (wideband) | 8 kHz | 16 kHz | + | | | | + | SWB (super-wideband) | 12 kHz | 24 kHz | + | | | | + | FB (fullband) | 20 kHz (*) | 48 kHz | + +----------------------+-----------------+-------------------------+ + + Table 1 + + (*) Although the sampling theorem allows a bandwidth as large as half + the sampling rate, Opus never codes audio above 20 kHz, as that is + the generally accepted upper limit of human hearing. + + Opus defines super-wideband (SWB) with an effective sample rate of + 24 kHz, unlike some other audio coding standards that use 32 kHz. + This was chosen for a number of reasons. The band layout in the MDCT + layer naturally allows skipping coefficients for frequencies over + 12 kHz, but does not allow cleanly dropping just those frequencies + over 16 kHz. A sample rate of 24 kHz also makes resampling in the + MDCT layer easier, as 24 evenly divides 48, and when 24 kHz is + sufficient, it can save computation in other processing, such as + Acoustic Echo Cancellation (AEC). Experimental changes to the band + layout to allow a 16 kHz cutoff (32 kHz effective sample rate) showed + potential quality degredations at other sample rates, and at typical + bitrates the number of bits saved by using such a cutoff instead of + coding in fullband (FB) mode is very small. Therefore, if an + application wishes to process a signal sampled at 32 kHz, it should + just use FB. + + The LP layer is based on the SILK [1] codec [SILK]. It supports NB, + + + +Valin, et al. Expires May 3, 2012 [Page 8] + +Internet-Draft Interactive Audio Codec October 2011 + + + MB, or WB audio and frame sizes from 10 ms to 60 ms, and requires an + additional 5 ms look-ahead for noise shaping estimation. A small + additional delay (up to 1.2 ms) may be required for sampling rate + conversion. Like Vorbis and many other modern codecs, SILK is + inherently designed for variable-bitrate (VBR) coding, though the + encoder can also produce constant-bitrate (CBR) streams. The version + of SILK used in Opus is substantially modified from, and not + compatible with, the stand-alone SILK codec previously deployed by + Skype. This document does not serve to define that format, but those + interested in the original SILK codec should see [SILK] instead. + + The MDCT layer is based on the CELT [2] codec [CELT]. It supports + NB, WB, SWB, or FB audio and frame sizes from 2.5 ms to 20 ms, and + requires an additional 2.5 ms look-ahead due to the overlapping MDCT + windows. The CELT codec is inherently designed for CBR coding, but + unlike many CBR codecs it is not limited to a set of predetermined + rates. It internally allocates bits to exactly fill any given target + budget, and an encoder can produce a VBR stream by varying the target + on a per-frame basis. The MDCT layer is not used for speech when the + audio bandwidth is WB or less, as it is not useful there. On the + other hand, non-speech signals are not always adequately coded using + linear prediction, so for music only the MDCT layer should be used. + + A "Hybrid" mode allows the use of both layers simultaneously with a + frame size of 10 or 20 ms and a SWB or FB audio bandwidth. Each + frame is split into a low frequency signal and a high frequency + signal, with a cutoff of 8 kHz. The LP layer then codes the low + frequency signal, followed by the MDCT layer coding the high + frequency signal. In the MDCT layer, all bands below 8 kHz are + discarded, so there is no coding redundancy between the two layers. + + The sample rate (in contrast to the actual audio bandwidth) can be + chosen independently on the encoder and decoder side, e.g., a + fullband signal can be decoded as wideband, or vice versa. This + approach ensures a sender and receiver can always interoperate, + regardless of the capabilities of their actual audio hardware. + Internally, the LP layer always operates at a sample rate of twice + the audio bandwidth, up to a maximum of 16 kHz, which it continues to + use for SWB and FB. The decoder simply resamples its output to + support different sample rates. The MDCT layer always operates + internally at a sample rate of 48 kHz. Since all the supported + sample rates evenly divide this rate, and since the the decoder may + easily zero out the high frequency portion of the spectrum in the + frequency domain, it can simply decimate the MDCT layer output to + achieve the other supported sample rates very cheaply. + + After conversion to the common, desired output sample rate, the + decoder simply adds the output from the two layers together. To + + + +Valin, et al. Expires May 3, 2012 [Page 9] + +Internet-Draft Interactive Audio Codec October 2011 + + + compensate for the different look-ahead required by each layer, the + CELT encoder input is delayed by an additional 2.7 ms. This ensures + that low frequencies and high frequencies arrive at the same time. + This extra delay may be reduced by an encoder by using less look- + ahead for noise shaping or using a simpler resampler in the LP layer, + but this will reduce quality. However, the base 2.5 ms look-ahead in + the CELT layer cannot be reduced in the encoder because it is needed + for the MDCT overlap, whose size is fixed by the decoder. + + Both layers use the same entropy coder, avoiding any waste from + "padding bits" between them. The hybrid approach makes it easy to + support both CBR and VBR coding. Although the LP layer is VBR, the + bit allocation of the MDCT layer can produce a final stream that is + CBR by using all the bits left unused by the LP layer. + +2.1. Control Parameters + + The Opus codec includes a number of control parameters which can be + changed dynamically during regular operation of the codec, without + interrupting the audio stream from the encoder to the decoder. These + parameters only affect the encoder since any impact they have on the + bit-stream is signalled in-band such that a decoder can decode any + Opus stream without any out-of-band signalling. Any Opus + implementation can add or modify these control parameters without + affecting interoperability. The most important encoder control + parameters in the reference encoder are listed below. + +2.1.1. Bitrate + + Opus supports all bitrates from 6 kb/s to 510 kb/s. All other + parameters being equal, higher bit-rate results in higher quality. + For a frame size of 20 ms, these are the bitrate "sweet spots" for + Opus in various configurations: + + o 8-12 kb/s for narrowband speech + + o 16-20 kb/s for wideband speech + + o 28-40 kb/s for fullband speech + + o 48-64 kb/s for fullband mono music + + o 64-128 kb/s for fullband stereo music + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 10] + +Internet-Draft Interactive Audio Codec October 2011 + + +2.1.2. Number of channels (mono/stereo) + + Opus can transmit either mono or stereo audio within one stream. + When decoding a mono stream in stereo, the left and right channels + will be identical and when decoding a stereo channel in mono, the + mono output will be the average of the encoded left and right + channels. In some cases it is desirable to encode a stereo input + stream in mono (e.g. because the bit-rate is insufficient for good + quality stereo). The number of channels encoded can be selected in + real-time, but by default the reference encoder attempts to make the + best decision possible given the current bitrate. + +2.1.3. Audio bandwidth + + The audio bandwidths supported by Opus are listed in Table 1. Just + like for the number of channels, any decoder can decode audio encoded + at any bandwidth. For example, any Opus decoder operating at 8 kHz + can decode a fullband Opus stream and any Opus decoder operating at + 48 kHz can decode a narrowband stream. Similarly, the reference + encoder can take a 48 kHz input signal and encode it in narrowband. + The higher the audio bandwidth, the higher the required bitrate to + achieve acceptable quality. The audio bandwidth can be explicitly + specified in real-time, but by default the reference encoder attempts + to make the best bandwidth decision possible given the current + bitrate. + +2.1.4. Frame duration + + Opus can encode frames of 2.5, 5, 10, 20, 40 or 60 ms. It can also + combine multiple frames into packets of up to 120 ms. Because of the + overhead from IP/UDP/RTP headers, sending fewer packets per second + reduces the bitrate, but increases latency and sensitivity to packet + losses as losing one packet constitutes a loss of a bigger chunk of + audio signal. Increasing the frame duration also slightly improves + coding efficiency, but the gain becomes small for frame sizes above + 20 ms. For this reason, 20 ms frames tend to be a good choice for + most applications. + +2.1.5. Complexity + + There are various aspects of the Opus encoding process where trade- + offs can be made between CPU complexity and quality/bitrate. In the + reference encoder, the complexity is selected using an integer from 0 + to 10, where 0 is the lowest complexity and 10 is the highest. + Examples of computations for which such trade-offs may occur are: + + o the filter order of the pitch analysis whitening filter the short- + term noise shaping filter; + + + +Valin, et al. Expires May 3, 2012 [Page 11] + +Internet-Draft Interactive Audio Codec October 2011 + + + o The number of states in delayed decision quantization of the + residual signal; + + o The use of certain bit-stream features such as variable time- + frequency resolution and pitch post-filter. + +2.1.6. Packet loss resilience + + Audio codecs often exploit inter-frame correlations to reduce the + bitrate at a cost in error propagation: after losing one packet + several packets need to be received before the decoder is able to + accurately reconstruct the speech signal. The extent to which Opus + exploits inter-frame dependencies can be adjusted on the fly to + choose a trade-off between bitrate and amount of error propagation. + +2.1.7. Forward error correction (FEC) + + Another mechanism providing robustness against packet loss is the in- + band Forward Error Correction (FEC). Packets that are determined to + contain perceptually important speech information, such as onsets or + transients, are encoded again at a lower bitrate and this re-encoded + information is added to a subsequent packet. + +2.1.8. Constant/variable bit-rate + + Opus is more efficient when operating with variable bitrate (VBR), + which is the default. However, in some (rare) applications, constant + bit-rate (CBR) is required. There are two main reasons to operate in + CBR mode: + + o When the transport only supports a fixed size for each compressed + frame + + o When security is important _and_ the input audio not a normal + conversation but is highly constrained (e.g. yes/no, recorded + prompts) [SRTP-VBR] + + When low-latency transmission is required over a relatively slow + connection, then constrained VBR can also be used. This uses VBR in + a way that simulates a "bit reservoir" and is equivalent to what MP3 + and AAC call CBR (i.e. not true CBR due to the bit reservoir). + +2.1.9. Discontinuous transmission (DTX) + + Discontinuous Transmission (DTX) reduces the bitrate during silence + or background noise. When DTX is enabled, only one frame is encoded + every 400 milliseconds. + + + + +Valin, et al. Expires May 3, 2012 [Page 12] + +Internet-Draft Interactive Audio Codec October 2011 + + +3. Internal Framing + + The Opus encoder produces "packets", which are each a contiguous set + of bytes meant to be transmitted as a single unit. The packets + described here do not include such things as IP, UDP, or RTP headers + which are normally found in a transport-layer packet. A single + packet may contain multiple audio frames, so long as they share a + common set of parameters, including the operating mode, audio + bandwidth, frame size, and channel count (mono vs. stereo). This + section describes the possible combinations of these parameters and + the internal framing used to pack multiple frames into a single + packet. This framing is not self-delimiting. Instead, it assumes + that a higher layer (such as UDP or RTP or Ogg or Matroska) will + communicate the length, in bytes, of the packet, and it uses this + information to reduce the framing overhead in the packet itself. A + decoder implementation MUST support the framing described in this + section. An alternative, self-delimiting variant of the framing is + described in Appendix B. Support for that variant is OPTIONAL. + +3.1. The TOC Byte + + An Opus packet begins with a single-byte table-of-contents (TOC) + header that signals which of the various modes and configurations a + given packet uses. It is composed of a frame count code, "c", a + stereo flag, "s", and a configuration number, "config", arranged as + illustrated in Figure 1. A description of each of these fields + follows. + + 0 + 0 1 2 3 4 5 6 7 + +-+-+-+-+-+-+-+-+ + | c |s| config | + +-+-+-+-+-+-+-+-+ + + Figure 1: The TOC byte + + The top five bits of the TOC byte, labeled "config", encode one of 32 + possible configurations of operating mode, audio bandwidth, and frame + size. As described, the LP layer and MDCT layer can be combined in + three possible operating modes: + + 1. An LP-only mode for use in low bitrate connections with an audio + bandwidth of WB or less, + + 2. A Hybrid (LP+MDCT) mode for SWB or FB speech at medium bitrates, + and + + + + + +Valin, et al. Expires May 3, 2012 [Page 13] + +Internet-Draft Interactive Audio Codec October 2011 + + + 3. An MDCT-only mode for very low delay speech transmission as well + as music transmission (NB to FB). + + The 32 possible configurations each identify which one of these + operating modes the packet uses, as well as the audio bandwidth and + the frame size. Table 2 lists the parameters for each configuration. + + +-----------------------+-----------+-----------+-------------------+ + | Configuration | Mode | Bandwidth | Frame Sizes | + | Number(s) | | | | + +-----------------------+-----------+-----------+-------------------+ + | 0...3 | SILK-only | NB | 10, 20, 40, 60 ms | + | | | | | + | 4...7 | SILK-only | MB | 10, 20, 40, 60 ms | + | | | | | + | 8...11 | SILK-only | WB | 10, 20, 40, 60 ms | + | | | | | + | 12...13 | Hybrid | SWB | 10, 20 ms | + | | | | | + | 14...15 | Hybrid | FB | 10, 20 ms | + | | | | | + | 16...19 | CELT-only | NB | 2.5, 5, 10, 20 ms | + | | | | | + | 20...23 | CELT-only | WB | 2.5, 5, 10, 20 ms | + | | | | | + | 24...27 | CELT-only | SWB | 2.5, 5, 10, 20 ms | + | | | | | + | 28...31 | CELT-only | FB | 2.5, 5, 10, 20 ms | + +-----------------------+-----------+-----------+-------------------+ + + Table 2: TOC Byte Configuration Parameters + + The configuration numbers in each range (e.g., 0...3 for NB SILK- + only) correspond to the various choices of frame size, in the same + order. For example, configuration 0 has a 10 ms frame size and + configuration 3 has a 60 ms frame size. + + One additional bit, labeled "s", is used to signal mono vs. stereo, + with 0 indicating mono and 1 indicating stereo. + + The remaining two bits of the TOC byte, labeled "c", code the number + of frames per packet (codes 0 to 3) as follows: + + o 0: 1 frame in the packet + + o 1: 2 frames in the packet, each with equal compressed size + + + + + +Valin, et al. Expires May 3, 2012 [Page 14] + +Internet-Draft Interactive Audio Codec October 2011 + + + o 2: 2 frames in the packet, with different compressed sizes + + o 3: an arbitrary number of frames in the packet + + This draft refers to a packet as a code 0 packet, code 1 packet, + etc., based on the value of "c". + + A well-formed Opus packet MUST contain at least one byte with the TOC + information, though the frame(s) within a packet MAY be zero bytes + long. + +3.2. Frame Packing + + This section describes how frames are packed according to each + possible value of "c" in the TOC byte. + +3.2.1. Frame Length Coding + + When a packet contains multiple VBR frames (i.e., code 2 or 3), the + compressed length of one or more of these frames is indicated with a + one or two byte sequence, with the meaning of the first byte as + follows: + + o 0: No frame (discontinuous transmission (DTX) or lost packet) + + o 1...251: Length of the frame in bytes + + o 252...255: A second byte is needed. The total length is + (len[1]*4)+len[0] + + The maximum representable length is 255*4+255=1275 bytes. For 20 ms + frames, this represents a bitrate of 510 kb/s, which is approximately + the highest useful rate for lossily compressed fullband stereo music. + Beyond this point, lossless codecs are more appropriate. It is also + roughly the maximum useful rate of the MDCT layer, as shortly + thereafter quality no longer improves with additional bits due to + limitations on the codebook sizes. + + No length is transmitted for the last frame in a VBR packet, or for + any of the frames in a CBR packet, as it can be inferred from the + total size of the packet and the size of all other data in the + packet. However, the length of any individual frame MUST NOT exceed + 1275 bytes, to allow for repacketization by gateways, conference + bridges, or other software. + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 15] + +Internet-Draft Interactive Audio Codec October 2011 + + +3.2.2. Code 0: One Frame in the Packet + + For code 0 packets, the TOC byte is immediately followed by N-1 bytes + of compressed data for a single frame (where N is the size of the + packet), as illustrated in Figure 2. + + 0 1 2 3 + 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + |0|0|s| config | | + +-+-+-+-+-+-+-+-+ | + | Compressed frame 1 (N-1 bytes)... : + : | + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + + Figure 2: A Code 0 Packet + +3.2.3. Code 1: Two Frames in the Packet, Each with Equal Compressed + Size + + For code 1 packets, the TOC byte is immediately followed by the + (N-1)/2 bytes of compressed data for the first frame, followed by + (N-1)/2 bytes of compressed data for the second frame, as illustrated + in Figure 3. The number of payload bytes available for compressed + data, N-1, MUST be even for all code 1 packets. + + 0 1 2 3 + 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + |1|0|s| config | | + +-+-+-+-+-+-+-+-+ : + | Compressed frame 1 ((N-1)/2 bytes)... | + : +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + | | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ : + | Compressed frame 2 ((N-1)/2 bytes)... | + : +-+-+-+-+-+-+-+-+ + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + + Figure 3: A Code 1 Packet + +3.2.4. Code 2: Two Frames in the Packet, with Different Compressed + Sizes + + For code 2 packets, the TOC byte is followed by a one or two byte + sequence indicating the length of the first frame (marked N1 in the + + + +Valin, et al. Expires May 3, 2012 [Page 16] + +Internet-Draft Interactive Audio Codec October 2011 + + + figure below), followed by N1 bytes of compressed data for the first + frame. The remaining N-N1-2 or N-N1-3 bytes are the compressed data + for the second frame. This is illustrated in Figure 4. A code 2 + packet MUST contain enough bytes to represent a valid length. For + example, a 1-byte code 2 packet is always invalid, and a 2-byte code + 2 packet whose second byte is in the range 252...255 is also invalid. + The length of the first frame, N1, MUST also be no larger than the + size of the payload remaining after decoding that length for all code + 2 packets. This makes, for example, a 2-byte code 2 packet with a + second byte in the range 1...250 invalid as well (the only valid + 2-byte code 2 packet is one where the length of both frames is zero). + + 0 1 2 3 + 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + |0|1|s| config | N1 (1-2 bytes): | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ : + | Compressed frame 1 (N1 bytes)... | + : +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + | | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ | + | Compressed frame 2... : + : | + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + + Figure 4: A Code 2 Packet + +3.2.5. Code 3: An Arbitrary Number of Frames in the Packet + + Code 3 packets may encode an arbitrary number of frames, as well as + additional padding, called "Opus padding" to indicate that this + padding is added at the Opus layer, rather than at the transport + layer. Code 3 packets MUST have at least 2 bytes. The TOC byte is + followed by a byte encoding the number of frames in the packet in + bits 0 to 5 (marked "M" in the figure below), with bit 6 indicating + whether or not Opus padding is inserted (marked "p" in the figure + below), and bit 7 indicating VBR (marked "v" in the figure below). M + MUST NOT be zero, and the audio duration contained within a packet + MUST NOT exceed 120 ms. This limits the maximum frame count for any + frame size to 48 (for 2.5 ms frames), with lower limits for longer + frame sizes. Figure 5 illustrates the layout of the frame count + byte. + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 17] + +Internet-Draft Interactive Audio Codec October 2011 + + + 0 + 0 1 2 3 4 5 6 7 + +-+-+-+-+-+-+-+-+ + | M |p|v| + +-+-+-+-+-+-+-+-+ + + Figure 5: The frame count byte + + When Opus padding is used, the number of bytes of padding is encoded + in the bytes following the frame count byte. Values from 0...254 + indicate that 0...254 bytes of padding are included, in addition to + the byte(s) used to indicate the size of the padding. If the value + is 255, then the size of the additional padding is 254 bytes, plus + the padding value encoded in the next byte. There MUST be at least + one more byte in the packet in this case. By using the value 255 + multiple times, it is possible to create a packet of any specific, + desired size. The additional padding bytes appear at the end of the + packet, and MUST be set to zero by the encoder to avoid creating a + covert channel. The decoder MUST accept any value for the padding + bytes, however. Let P be the total amount of padding, including both + the trailing padding bytes themselves and the header bytes used to + indicate how many trailing bytes there are. Then P MUST be no more + than N-2. + + In the CBR case, the compressed length of each frame in bytes is + equal to the number of remaining bytes in the packet after + subtracting the (optional) padding, (N-2-P), divided by M. This + number MUST be an integer multiple of M. The compressed data for all + M frames then follows, each of size (N-2-P)/M bytes, as illustrated + in Figure 6. + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 18] + +Internet-Draft Interactive Audio Codec October 2011 + + + 0 1 2 3 + 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + |1|1|s| config | M |p|0| Padding length (Optional) : + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + | | + : Compressed frame 1 ((N-2-P)/M bytes)... : + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + | | + : Compressed frame 2 ((N-2-P)/M bytes)... : + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + | | + : ... : + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + | | + : Compressed frame M ((N-2-P)/M bytes)... : + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + : Opus Padding (Optional)... | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + + Figure 6: A CBR Code 3 Packet + + In the VBR case, the (optional) padding length is followed by M-1 + frame lengths (indicated by "N1" to "N[M-1]" in the figure below), + each encoded in a one or two byte sequence as described above. The + packet MUST contain enough data for the M-1 lengths after removing + the (optional) padding, and the sum of these lengths MUST be no + larger than the number of bytes remaining in the packet after + decoding them. The compressed data for all M frames follows, each + frame consisting of the indicated number of bytes, with the final + frame consuming any remaining bytes before the final padding, as + illustrated in Figure 6. The number of header bytes (TOC byte, frame + count byte, padding length bytes, and frame length bytes), plus the + length of the first M-1 frames themselves, plus the length of the + padding MUST be no larger than N, the total size of the packet. + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 19] + +Internet-Draft Interactive Audio Codec October 2011 + + + 0 1 2 3 + 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + |1|1|s| config | M |p|1| Padding length (Optional) : + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + : N1 (1-2 bytes): N2 (1-2 bytes): ... : N[M-1] | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + | | + : Compressed frame 1 (N1 bytes)... : + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + | | + : Compressed frame 2 (N2 bytes)... : + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + | | + : ... : + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + | | + : Compressed frame M... : + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + : Opus Padding (Optional)... | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + + Figure 7: A VBR Code 3 Packet + +3.3. Examples + + Simplest case, one NB mono 20 ms SILK frame: + + 0 1 2 3 + 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + |0|0|0| 1 | compressed data... : + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + + Two FB mono 5 ms CELT frames of the same compressed size: + + 0 1 2 3 + 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + |1|0|0| 29 | compressed data... : + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + + Two FB mono 20 ms Hybrid frames of different compressed size: + + + + +Valin, et al. Expires May 3, 2012 [Page 20] + +Internet-Draft Interactive Audio Codec October 2011 + + + 0 1 2 3 + 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + |1|1|0| 15 | 2 |0|1| N1 | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ | + | compressed data... : + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + + Four FB stereo 20 ms CELT frames of the same compressed size: + + 0 1 2 3 + 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + |1|1|1| 31 | 4 |0|0| compressed data... : + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + +3.4. Extending Opus + + A receiver MUST NOT process packets which violate any of the rules + above as normal Opus packets. They are reserved for future + applications, such as in-band headers (containing metadata, etc.). + These constraints are summarized here for reference: + + o Packets are at least one byte. + + o No implicit frame length is larger than 1275 bytes. + + o Code 1 packets have an odd total length, N, so that (N-1)/2 is an + integer. + + o Code 2 packets have enough bytes after the TOC for a valid frame + length, and that length is no larger than the number of bytes + remaining in the packet. + + o Code 3 packets contain at least one frame, but no more than 120 ms + of audio total. + + o The length of a CBR code 3 packet, N, is at least two bytes, the + size of the padding, P (including both the padding length bytes in + the header and the trailing padding bytes) is no more than N-2, + and the frame count, M, satisfies the constraint that (N-2-P) is + an integer multiple of M. + + o VBR code 3 packets are large enough to contain all the header + bytes (TOC byte, frame count byte, any padding length bytes, and + any frame length bytes), plus the length of the first M-1 frames, + plus any trailing padding bytes. + + + + +Valin, et al. Expires May 3, 2012 [Page 21] + +Internet-Draft Interactive Audio Codec October 2011 + + +4. Opus Decoder + + The Opus decoder consists of two main blocks: the SILK decoder and + the CELT decoder. At any given time, one or both of the SILK and + CELT decoders may be active. The output of the Opus decode is the + sum of the outputs from the SILK and CELT decoders with proper sample + rate conversion and delay compensation on the SILK side, and optional + decimation (when decoding to sample rates less than 48 kHz) on the + CELT side, as illustrated in the block diagram below. + + + +---------+ +------------+ + | SILK | | Sample | + +->| Decoder |--->| Rate |----+ + Bit- +---------+ | | | | Conversion | v + stream | Range |---+ +---------+ +------------+ /---\ Audio + ------->| Decoder | | + |------> + | |---+ +---------+ +------------+ \---/ + +---------+ | | CELT | | Decimation | ^ + +->| Decoder |--->| (Optional) |----+ + | | | | + +---------+ +------------+ + + +4.1. Range Decoder + + Opus uses an entropy coder based on [range-coding], which is itself a + rediscovery of the FIFO arithmetic code introduced by + [coding-thesis]. It is very similar to arithmetic encoding, except + that encoding is done with digits in any base instead of with bits, + so it is faster when using larger bases (i.e., an octet). All of the + calculations in the range coder must use bit-exact integer + arithmetic. + + Symbols may also be coded as "raw bits" packed directly into the + bitstream, bypassing the range coder. These are packed backwards + starting at the end of the frame, as illustrated in Figure 8. This + reduces complexity and makes the stream more resilient to bit errors, + as corruption in the raw bits will not desynchronize the decoding + process, unlike corruption in the input to the range decoder. Raw + bits are only used in the CELT layer. + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 22] + +Internet-Draft Interactive Audio Codec October 2011 + + + 0 1 2 3 + 7 6 5 4 3 2 1 0 7 6 5 4 3 2 1 0 7 6 5 4 3 2 1 0 7 6 5 4 3 2 1 0 + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + | Range coder data (packed MSB to LSB) -> : + + + + : : + + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + : | <- Boundary occurs at an arbitrary bit position : + +-+-+-+ + + : <- Raw bits data (packed LSB to MSB) | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + + Figure 8: Illustrative example of packing range coder and raw bits + data + + Each symbol coded by the range coder is drawn from a finite alphabet + and coded in a separate "context", which describes the size of the + alphabet and the relative frequency of each symbol in that alphabet. + + Suppose there is a context with n symbols, identified with an index + that ranges from 0 to n-1. The parameters needed to encode or decode + symbol k in this context are represented by a three-tuple + (fl[k], fh[k], ft), with 0 <= fl[k] < fh[k] <= ft <= 65535. The + values of this tuple are derived from the probability model for the + symbol, represented by traditional "frequency counts". Because Opus + uses static contexts these are not updated as symbols are decoded. + Let f[i] be the frequency of symbol i. Then the three-tuple + corresponding to symbol k is given by + + k-1 n-1 + __ __ + fl[k] = \ f[i], fh[k] = fl[k] + f[k], ft[k] = \ f[i] + /_ /_ + i=0 i=0 + + The range decoder extracts the symbols and integers encoded using the + range encoder in Section 5.1. The range decoder maintains an + internal state vector composed of the two-tuple (val,rng), + representing the difference between the high end of the current range + and the actual coded value, minus one, and the size of the current + range, respectively. Both val and rng are 32-bit unsigned integer + values. The decoder initializes rng to 128 and initializes val to + 127 minus the top 7 bits of the first input octet. It saves the + remaining bit for use in the renormalization procedure described in + Section 4.1.1.1, which the decoder invokes immediately after + initialization to read additional bits and establish the invariant + that rng > 2**23. + + + + +Valin, et al. Expires May 3, 2012 [Page 23] + +Internet-Draft Interactive Audio Codec October 2011 + + +4.1.1. Decoding Symbols + + Decoding a symbol is a two-step process. The first step determines a + 16-bit unsigned value fs, which lies within the range of some symbol + in the current context. The second step updates the range decoder + state with the three-tuple (fl[k], fh[k], ft) corresponding to that + symbol. + + The first step is implemented by ec_decode() (entdec.c), which + computes + + fs = ft - min(val/(rng/ft)+1, ft) . + + The divisions here are exact integer division. + + The decoder then identifies the symbol in the current context + corresponding to fs; i.e., the value of k whose three-tuple + (fl[k], fh[k], ft) satisfies fl[k] <= fs < fh[k]. It uses this tuple + to update val according to + + val = val - (rng/ft)*(ft-fh[k]) . + + If fl[k] is greater than zero, then the decoder updates rng using + + rng = (rng/ft)*(fh[k]-fl[k]) . + + Otherwise, it updates rng using + + rng = rng - (rng/ft)*(ft-fh[k]). + + Using a special case for the first symbol (rather than the last + symbol, as is commonly done in other arithmetic coders) ensures that + all the truncation error from the finite precision arithmetic + accumulates in symbol 0. This makes the cost of coding a 0 slightly + smaller, on average, than its estimated probability indicates and + makes the cost of coding any other symbol slightly larger. When + contexts are designed so that 0 is the most probable symbol, which is + often the case, this strategy minimizes the inefficiency introduced + by the finite precision. It also makes some of the special-case + decoding routines in Section 4.1.2 particularly simple. + + After the updates, implemented by ec_dec_update() (entdec.c), the + decoder normalizes the range using the procedure in the next section, + and returns the index k. + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 24] + +Internet-Draft Interactive Audio Codec October 2011 + + +4.1.1.1. Renormalization + + To normalize the range, the decoder repeats the following process, + implemented by ec_dec_normalize() (entdec.c), until rng > 2**23. If + rng is already greater than 2**23, the entire process is skipped. + First, it sets rng to (rng<<8). Then it reads the next octet of the + payload and combines it with the left-over bit buffered from the + previous octet to form the 8-bit value sym. It takes the left-over + bit as the high bit (bit 7) of sym, and the top 7 bits of the octet + it just read as the other 7 bits of sym. The remaining bit in the + octet just read is buffered for use in the next iteration. If no + more input octets remain, it uses zero bits instead. Then, it sets + + val = ((val<<8) + (255-sym)) & 0x7FFFFFFF . + + It is normal and expected that the range decoder will read several + bytes into the raw bits data (if any) at the end of the packet by the + time the frame is completely decoded, as illustrated in Figure 9. + This same data MUST also be returned as raw bits when requested. The + encoder is expected to terminate the stream in such a way that the + decoder will decode the intended values regardless of the data + contained in the raw bits. Section 5.1.4 describes a procedure for + doing this. If the range decoder consumes all of the bytes belonging + to the current frame, it MUST continue to use zero when any further + input bytes are required, even if there is additional data in the + current packet from padding or other frames. + + n n+1 n+2 n+3 + 7 6 5 4 3 2 1 0 7 6 5 4 3 2 1 0 7 6 5 4 3 2 1 0 7 6 5 4 3 2 1 0 + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + : | <----------- Overlap region ------------> | : + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + ^ ^ + | End of data buffered by the range coder | + ...-----------------------------------------------+ + | + | End of data consumed by raw bits + +-------------------------------------------------------... + + Figure 9: Illustrative example of raw bits overlapping range coder + data + +4.1.2. Alternate Decoding Methods + + The reference implementation uses three additional decoding methods + that are exactly equivalent to the above, but make assumptions and + simplifications that allow for a more efficient implementation. + + + + +Valin, et al. Expires May 3, 2012 [Page 25] + +Internet-Draft Interactive Audio Codec October 2011 + + +4.1.2.1. ec_decode_bin() + + The first is ec_decode_bin() (entdec.c), defined using the parameter + ftb instead of ft. It is mathematically equivalent to calling + ec_decode() with ft = (1<>ftb-8)+1), the decoder state is updated using + the three-tuple (t,t+1,(ft-1>>ftb-8)+1), and the remaining bits are + decoded as raw bits, setting t = t<= ft, then the current frame is corrupt. In that + case, the decoder should assume there has been an error in the + coding, decoding, or transmission and SHOULD take measures to conceal + the error and/or report to the application that a problem has + occurred. + +4.1.5. Current Bit Usage + + The bit allocation routines in the CELT decoder need a conservative + upper bound on the number of bits that have been used from the + current frame thus far, including both range coder bits and raw bits. + This drives allocation decisions that must match those made in the + encoder. The upper bound is computed in the reference implementation + to whole-bit precision by the function ec_tell() (entcode.h) and to + fractional 1/8th bit precision by the function ec_tell_frac() + (entcode.c). Like all operations in the range coder, it must be + implemented in a bit-exact manner, and must produce exactly the same + value returned by the same functions in the encoder after encoding + the same symbols. + + ec_tell() is guaranteed to return ceil(ec_tell_frac()/8.0). In + various places the codec will check to ensure there is enough room to + contain a symbol before attempting to decode it. In practice, + although the number of bits used so far is an upper bound, decoding a + symbol whose probability model suggests it has a worst-case cost of p + 1/8th bits may actually advance the return value of ec_tell_frac() by + p-1, p, or p+1 1/8th bits, due to approximation error in that upper + bound, truncation error in the range coder, and for large values of + ft, modeling error in ec_dec_uint(). + + However, this error is bounded, and periodic calls to ec_tell() or + ec_tell_frac() at precisely defined points in the decoding process + prevent it from accumulating. For a range coder symbol that requires + a whole number of bits (i.e., for which ft/(fh[k]-fl[k]) is a power + of two), where there are at least p 1/8th bits available, decoding + the symbol will never cause ec_tell() or ec_tell_frac() to exceed the + size of the frame ("bust the budget"). In this case the return value + of ec_tell_frac() will only advance by more than p 1/8th bits if + there was an additional, fractional number of bits remaining, and it + will never advance beyond the next whole-bit boundary, which is safe, + since frames always contain a whole number of bits. However, when p + is not a whole number of bits, an extra 1/8th bit is required to + + + +Valin, et al. Expires May 3, 2012 [Page 28] + +Internet-Draft Interactive Audio Codec October 2011 + + + ensure that decoding the symbol will not bust the budget. + + The reference implementation keeps track of the total number of whole + bits that have been processed by the decoder so far in the variable + nbits_total, including the (possibly fractional) number of bits that + are currently buffered, but not consumed, inside the range coder. + nbits_total is initialized to 33 just after the initial range + renormalization process completes (or equivalently, it can be + initialized to 9 before the first renormalization). The extra two + bits over the actual amount buffered by the range coder guarantees + that it is an upper bound and that there is enough room for the + encoder to terminate the stream. Each iteration through the range + coder's renormalization loop increases nbits_total by 8. Reading raw + bits increases nbits_total by the number of raw bits read. + +4.1.5.1. ec_tell() + + The whole number of bits buffered in rng may be estimated via l = + ilog(rng). ec_tell() then becomes a simple matter of removing these + bits from the total. It returns (nbits_total - l). + + In a newly initialized decoder, before any symbols have been read, + this reports that 1 bit has been used. This is the bit reserved for + termination of the encoder. + +4.1.5.2. ec_tell_frac() + + ec_tell_frac() estimates the number of bits buffered in rng to + fractional precision. Since rng must be greater than 2**23 after + renormalization, l must be at least 24. Let + + + r_Q15 = rng >> (l-16) , + + so that 32768 <= r_Q15 < 65536, an unsigned Q15 value representing + the fractional part of rng. Then the following procedure can be used + to add one bit of precision to l. First, update + + + r_Q15 = (r_Q15*r_Q15) >> 15 . + + Then add the 16th bit of r_Q15 to l via + + + l = 2*l + (r_Q15 >> 16) . + + Finally, if this bit was a 1, reduce r_Q15 by a factor of two via + + + + +Valin, et al. Expires May 3, 2012 [Page 29] + +Internet-Draft Interactive Audio Codec October 2011 + + + r_Q15 = r_Q15 >> 1 , + + so that it once again lies in the range 32768 <= r_Q15 < 65536. + + This procedure is repeated three times to extend l to 1/8th bit + precision. ec_tell_frac() then returns (nbits_total*8 - l). + +4.2. SILK Decoder + + The decoder's LP layer uses a modified version of the SILK codec + (herein simply called "SILK"), which runs a decoded excitation signal + through adaptive long-term and short-term prediction synthesis + filters. It runs at NB, MB, and WB sample rates internally. When + used in a SWB or FB Hybrid frame, the LP layer itself still only runs + in WB. + +4.2.1. SILK Decoder Modules + + An overview of the decoder is given in Figure 10. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 30] + +Internet-Draft Interactive Audio Codec October 2011 + + + +---------+ +------------+ + -->| Range |--->| Decode |---------------------------+ + 1 | Decoder | 2 | Parameters |----------+ 5 | + +---------+ +------------+ 4 | | + 3 | | | + \/ \/ \/ + +------------+ +------------+ +------------+ + | Generate |-->| LTP |-->| LPC | + | Excitation | | Synthesis | | Synthesis | + +------------+ +------------+ +------------+ + ^ | + | | + +-------------------+----------------+ + | 6 + | +------------+ +-------------+ + +-->| Stereo |-->| Sample Rate |--> + 8 | Unmixing | 7 | Conversion | 8 + +------------+ +-------------+ + + 1: Range encoded bitstream + 2: Coded parameters + 3: Pulses, LSBs, and signs + 4: Pitch lags, LTP coefficients + 5: LPC coefficients and gains + 6: Decoded signal (mono or mid-side stereo) + 7: Unmixed signal (mono or left-right stereo) + 8: Resampled signal + + + Decoder block diagram. + + Figure 10 + + The decoder feeds the bitstream (1) to the range decoder from + Section 4.1, and then decodes the parameters in it (2) using the + procedures detailed in Sections 4.2.3 through 4.2.7.8.5. These + parameters (3, 4, 5) are used to generate an excitation signal (see + Section 4.2.7.8.6), which is fed to an optional long-term prediction + (LTP) filter (voiced frames only, see Section 4.2.7.9.1) and then a + short-term prediction filter (see Section 4.2.7.9.2), producing the + decoded signal (6). For stereo streams, the mid-side representation + is converted to separate left and right channels (7). The result is + finally resampled to the desired output sample rate (e.g., 48 kHz) so + that the resampled signal (8) can be mixed with the CELT layer. + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 31] + +Internet-Draft Interactive Audio Codec October 2011 + + +4.2.2. LP Layer Organization + + Internally, the LP layer of a single Opus frame is composed of either + a single 10 ms regular SILK frame or between one and three 20 ms + regular SILK frames. A stereo Opus frame may double the number of + regular SILK frames (up to a total of six), since it includes + separate frames for a mid channel and, optionally, a side channel. + Optional Low Bit-Rate Redundancy (LBRR) frames, which are reduced- + bitrate encodings of previous SILK frames, may be included to aid in + recovery from packet loss. If present, these appear before the + regular SILK frames. They are in most respects identical to regular, + active SILK frames, except that they are usually encoded with a lower + bitrate. This draft uses "SILK frame" to refer to either one and + "regular SILK frame" if it needs to draw a distinction between the + two. + + Logically, each SILK frame is in turn composed of either two or four + 5 ms subframes. Various parameters, such as the quantization gain of + the excitation and the pitch lag and filter coefficients can vary on + a subframe-by-subframe basis. Physically, the parameters for each + subframe are interleaved in the bitstream, as described in the + relevant sections for each parameter. + + All of these frames and subframes are decoded from the same range + coder, with no padding between them. Thus packing multiple SILK + frames in a single Opus frame saves, on average, half a byte per SILK + frame. It also allows some parameters to be predicted from prior + SILK frames in the same Opus frame, since this does not degrade + packet loss robustness (beyond any penalty for merely using fewer, + larger packets to store multiple frames). + + Stereo support in SILK uses a variant of mid-side coding, allowing a + mono decoder to simply decode the mid channel. However, the data for + the two channels is interleaved, so a mono decoder must still unpack + the data for the side channel. It would be required to do so anyway + for Hybrid Opus frames, or to support decoding individual 20 ms + frames. + + Table 3 summarizes the overall grouping of the contents of the LP + layer. Figures 11 and 12 illustrate the ordering of the various SILK + frames for a 60 ms Opus frame, for both mono and stereo, + respectively. + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 32] + +Internet-Draft Interactive Audio Codec October 2011 + + + +-----------------------+---------------+---------------+ + | Symbol(s) | PDF(s) | Condition | + +-----------------------+---------------+---------------+ + | VAD flags | {1, 1}/2 | | + | | | | + | LBRR flag | {1, 1}/2 | | + | | | | + | Per-frame LBRR flags | Table 4 | Section 4.2.4 | + | | | | + | LBRR Frame(s) | Section 4.2.7 | Section 4.2.4 | + | | | | + | Regular SILK Frame(s) | Section 4.2.7 | | + +-----------------------+---------------+---------------+ + + Organization of the SILK layer of an Opus frame. + + Table 3 + + + +---------------------------------+ + | VAD Flags | + +---------------------------------+ + | LBRR Flag | + +---------------------------------+ + | Per-Frame LBRR Flags (Optional) | + +---------------------------------+ + | LBRR Frame 1 (Optional) | + +---------------------------------+ + | LBRR Frame 2 (Optional) | + +---------------------------------+ + | LBRR Frame 3 (Optional) | + +---------------------------------+ + | Regular SILK Frame 1 | + +---------------------------------+ + | Regular SILK Frame 2 | + +---------------------------------+ + | Regular SILK Frame 3 | + +---------------------------------+ + + Figure 11: A 60 ms Mono Frame + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 33] + +Internet-Draft Interactive Audio Codec October 2011 + + + +---------------------------------------+ + | Mid VAD Flags | + +---------------------------------------+ + | Mid LBRR Flag | + +---------------------------------------+ + | Side VAD Flags | + +---------------------------------------+ + | Side LBRR Flag | + +---------------------------------------+ + | Mid Per-Frame LBRR Flags (Optional) | + +---------------------------------------+ + | Side Per-Frame LBRR Flags (Optional) | + +---------------------------------------+ + | Mid LBRR Frame 1 (Optional) | + +---------------------------------------+ + | Side LBRR Frame 1 (Optional) | + +---------------------------------------+ + | Mid LBRR Frame 2 (Optional) | + +---------------------------------------+ + | Side LBRR Frame 2 (Optional) | + +---------------------------------------+ + | Mid LBRR Frame 3 (Optional) | + +---------------------------------------+ + | Side LBRR Frame 3 (Optional) | + +---------------------------------------+ + | Mid Regular SILK Frame 1 | + +---------------------------------------+ + | Side Regular SILK Frame 1 (Optional) | + +---------------------------------------+ + | Mid Regular SILK Frame 2 | + +---------------------------------------+ + | Side Regular SILK Frame 2 (Optional) | + +---------------------------------------+ + | Mid Regular SILK Frame 3 | + +---------------------------------------+ + | Side Regular SILK Frame 3 (Optional) | + +---------------------------------------+ + + Figure 12: A 60 ms Stereo Frame + +4.2.3. Header Bits + + The LP layer begins with two to eight header bits, decoded in + silk_Decode() (dec_API.c). These consist of one Voice Activity + Detection (VAD) bit per frame (up to 3), followed by a single flag + indicating the presence of LBRR frames. For a stereo packet, these + first flags correspond to the mid channel, and a second set of flags + is included for the side channel. + + + +Valin, et al. Expires May 3, 2012 [Page 34] + +Internet-Draft Interactive Audio Codec October 2011 + + + Because these are the first symbols decoded by the range coder and + because they are coded as binary values with uniform probability, + they can be extracted directly from the most significant bits of the + first byte of compressed data. Thus, a receiver can determine if an + Opus frame contains any active SILK frames without the overhead of + using the range decoder. + +4.2.4. Per-Frame LBRR Flags + + For Opus frames longer than 20 ms, a set of LBRR flags is decoded for + each channel that has its LBRR flag set. Each set contains one flag + per 20 ms SILK frame. 40 ms Opus frames use the 2-frame LBRR flag PDF + from Table 4, and 60 ms Opus frames use the 3-frame LBRR flag PDF. + For each channel, the resulting 2- or 3-bit integer contains the + corresponding LBRR flag for each frame, packed in order from the LSB + to the MSB. + + +------------+-------------------------------------+ + | Frame Size | PDF | + +------------+-------------------------------------+ + | 40 ms | {0, 53, 53, 150}/256 | + | | | + | 60 ms | {0, 41, 20, 29, 41, 15, 28, 82}/256 | + +------------+-------------------------------------+ + + Table 4: LBRR Flag PDFs + + A 10 or 20 ms Opus frame does not contain any per-frame LBRR flags, + as there may be at most one LBRR frame per channel. The global LBRR + flag in the header bits (see Section 4.2.3) is already sufficient to + indicate the presence of that single LBRR frame. + +4.2.5. LBRR Frames + + The LBRR frames, if present, contain an encoded representation of the + signal immediately prior to the current Opus frame as if it were + encoded with the current mode, frame size, audio bandwidth, and + channel count, even if those differ from the prior Opus frame. When + one of these parameters changes from one Opus frame to the next, this + implies that the LBRR frames of the current Opus frame may not be + simple drop-in replacements for the contents of the previous Opus + frame. + + For example, when switching from 20 ms to 60 ms, the 60 ms Opus frame + may contain LBRR frames covering up to three prior 20 ms Opus frames, + even if those frames already contained LBRR frames covering some of + the same time periods. When switching from 20 ms to 10 ms, the 10 ms + Opus frame can contain an LBRR frame covering at most half the prior + + + +Valin, et al. Expires May 3, 2012 [Page 35] + +Internet-Draft Interactive Audio Codec October 2011 + + + 20 ms Opus frame, potentially leaving a hole that needs to be + concealed from even a single packet loss. When switching from mono + to stereo, the LBRR frames in the first stereo Opus frame MAY contain + a non-trivial side channel. + + In order to properly produce LBRR frames under all conditions, an + encoder might need to buffer up to 60 ms of audio and re-encode it + during these transitions. However, the reference implementation opts + to disable LBRR frames at the transition point for simplicity. + + The LBRR frames immediately follow the LBRR flags, prior to any + regular SILK frames. Section 4.2.7 describes their exact contents. + LBRR frames do not include their own separate VAD flags. LBRR frames + are only meant to be transmitted for active speech, thus all LBRR + frames are treated as active. + + In a stereo Opus frame longer than 20 ms, although the per-frame LBRR + flags for the mid channel are coded as a unit before the per-frame + LBRR flags for the side channel, the LBRR frames themselves are + interleaved. The decoder parses an LBRR frame for the mid channel of + a given 20 ms interval (if present) and then immediately parses the + corresponding LBRR frame for the side channel (if present), before + proceeding to the next 20 ms interval. + +4.2.6. Regular SILK Frames + + The regular SILK frame(s) follow the LBRR frames (if any). + Section 4.2.7 describes their contents, as well. Unlike the LBRR + frames, a regular SILK frame is coded for each time interval in an + Opus frame, even if the corresponding VAD flags are unset. For + stereo Opus frames longer than 20 ms, the regular mid and side SILK + frames for each 20 ms interval are interleaved, just as with the LBRR + frames. The side frame may be skipped by coding an appropriate flag, + as detailed in Section 4.2.7.2. + +4.2.7. SILK Frame Contents + + Each SILK frame includes a set of side information that encodes + + o The frame type and quantization type (Section 4.2.7.3), + + o Quantization gains (Section 4.2.7.4), + + o Short-term prediction filter coefficients (Section 4.2.7.5), + + o An LSF interpolation weight (Section 4.2.7.5.5), + + + + + +Valin, et al. Expires May 3, 2012 [Page 36] + +Internet-Draft Interactive Audio Codec October 2011 + + + o Long-term prediction filter lags and gains (Section 4.2.7.6), and + + o A linear congruential generator (LCG) seed (Section 4.2.7.7). + + The quantized excitation signal (see Section 4.2.7.8) follows these + at the end of the frame. Table 5 details the overall organization of + a SILK frame. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 37] + +Internet-Draft Interactive Audio Codec October 2011 + + + +---------------------------+-------------------+-------------------+ + | Symbol(s) | PDF(s) | Condition | + +---------------------------+-------------------+-------------------+ + | Stereo Prediction Weights | Table 6 | Section 4.2.7.1 | + | | | | + | Mid-only Flag | Table 8 | Section 4.2.7.2 | + | | | | + | Frame Type | Section 4.2.7.3 | | + | | | | + | Subframe Gains | Section 4.2.7.4 | | + | | | | + | Normalized LSF Stage 1 | Table 14 | | + | Index | | | + | | | | + | Normalized LSF Stage 2 | Section 4.2.7.5.2 | | + | Residual | | | + | | | | + | Normalized LSF | Table 26 | Section 4.2.7.5.5 | + | Interpolation Weight | | | + | | | | + | Primary Pitch Lag | Section 4.2.7.6.1 | Voiced frame | + | | | | + | Subframe Pitch Contour | Table 32 | Voiced frame | + | | | | + | Periodicity Index | Table 37 | Voiced frame | + | | | | + | LTP Filter | Table 38 | Voiced frame | + | | | | + | LTP Scaling | Table 42 | Section 4.2.7.6.3 | + | | | | + | LCG Seed | Table 43 | | + | | | | + | Excitation Rate Level | Table 45 | | + | | | | + | Excitation Pulse Counts | Table 46 | | + | | | | + | Excitation Pulse | Section 4.2.7.8.3 | Non-zero pulse | + | Locations | | count | + | | | | + | Excitation LSBs | Table 51 | Section 4.2.7.8.2 | + | | | | + | Excitation Signs | Table 52 | Section 4.2.7.8.5 | + +---------------------------+-------------------+-------------------+ + + Order of the symbols in an individual SILK frame. + + Table 5 + + + + +Valin, et al. Expires May 3, 2012 [Page 38] + +Internet-Draft Interactive Audio Codec October 2011 + + +4.2.7.1. Stereo Prediction Weights + + A SILK frame corresponding to the mid channel of a stereo Opus frame + begins with a pair of side channel prediction weights, designed such + that zeros indicate normal mid-side coupling. Since these weights + can change on every frame, the first portion of each frame linearly + interpolates between the previous weights and the current ones, using + zeros for the previous weights if none are available. These + prediction weights are never included in a mono Opus frame, and the + previous weights are reset to zeros on any transition from mono to + stereo. They are also not included in an LBRR frame for the side + channel, even if the LBRR flags indicate the corresponding mid + channel was not coded. In that case, the previous weights are used, + again substituting in zeros if no previous weights are available + since the last decoder reset (see Section 4.5). + + To summarize, these weights are coded if and only if + + o This is a stereo Opus frame (Section 3.1), and + + o The current SILK frame corresponds to the mid channel. + + The prediction weights are coded in three separate pieces, which are + decoded by silk_stereo_decode_pred() (decode_stereo_pred.c). The + first piece jointly codes the high-order part of a table index for + both weights. The second piece codes the low-order part of each + table index. The third piece codes an offset used to linearly + interpolate between table indices. The details are as follows. + + Let n be an index decoded with the 25-element stage-1 PDF in Table 6. + Then let i0 and i1 be indices decoded with the stage-2 and stage-3 + PDFs in Table 6, respectively, and let i2 and i3 be two more indices + decoded with the stage-2 and stage-3 PDFs, all in that order. + + +-------+-----------------------------------------------------------+ + | Stage | PDF | + +-------+-----------------------------------------------------------+ + | Stage | {7, 2, 1, 1, 1, 10, 24, 8, 1, 1, 3, 23, 92, 23, 3, 1, 1, | + | 1 | 8, 24, 10, 1, 1, 1, 2, 7}/256 | + | | | + | Stage | {85, 86, 85}/256 | + | 2 | | + | | | + | Stage | {51, 51, 52, 51, 51}/256 | + | 3 | | + +-------+-----------------------------------------------------------+ + + Table 6: Stereo Weight PDFs + + + +Valin, et al. Expires May 3, 2012 [Page 39] + +Internet-Draft Interactive Audio Codec October 2011 + + + Then use n, i0, and i2 to form two table indices, wi0 and wi1, + according to + + wi0 = i0 + 3*(n/5) + wi1 = i2 + 3*(n%5) + + where the division is exact integer division. The range of these + indices is 0 to 14, inclusive. Let w[i] be the i'th weight from + Table 7. Then the two prediction weights, w0_Q13 and w1_Q13, are + + w1_Q13 = w_Q13[wi1] + + ((w_Q13[wi1+1] - w_Q13[wi1])*6554) >> 16)*(2*i3 + 1) + + w0_Q13 = w_Q13[wi0] + + ((w_Q13[wi0+1] - w_Q13[wi0])*6554) >> 16)*(2*i1 + 1) + - w1_Q13 + + N.b., w1_Q13 is computed first here, because w0_Q13 depends on it. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 40] + +Internet-Draft Interactive Audio Codec October 2011 + + + +-------+--------------+ + | Index | Weight (Q13) | + +-------+--------------+ + | 0 | -13732 | + | | | + | 1 | -10050 | + | | | + | 2 | -8266 | + | | | + | 3 | -7526 | + | | | + | 4 | -6500 | + | | | + | 5 | -5000 | + | | | + | 6 | -2950 | + | | | + | 7 | -820 | + | | | + | 8 | 820 | + | | | + | 9 | 2950 | + | | | + | 10 | 5000 | + | | | + | 11 | 6500 | + | | | + | 12 | 7526 | + | | | + | 13 | 8266 | + | | | + | 14 | 10050 | + | | | + | 15 | 13732 | + +-------+--------------+ + + Table 7: Stereo Weight Table + +4.2.7.2. Mid-only Flag + + A flag appears after the stereo prediction weights that indicates if + only the mid channel is coded for this time interval. It appears + only when + + o This is a stereo Opus frame (see Section 3.1), + + o The current SILK frame corresponds to the mid channel, and + + + + +Valin, et al. Expires May 3, 2012 [Page 41] + +Internet-Draft Interactive Audio Codec October 2011 + + + o Either + + * This is a regular SILK frame where the VAD flags (see + Section 4.2.3) indicate that the corresponding side channel is + not active. + + * This is an LBRR frame where the LBRR flags (see Section 4.2.3 + and Section 4.2.4) indicate that the corresponding side channel + is not coded. + + It is omitted when there are no stereo weights, for all of the same + reasons. It is also omitted for a regular SILK frame when the VAD + flag of the corresponding side channel frame is set (indicating it is + active). The side channel must be coded in this case, making the + mid-only flag redundant. It is also omitted for an LBRR frame when + the corresponding LBRR flags indicate the side channel is coded. + + When the flag is present, the decoder reads a single value using the + PDF in Table 8, as implemented in silk_stereo_decode_mid_only() + (decode_stereo_pred.c). If the flag is set, then there is no + corresponding SILK frame for the side channel, the entire decoding + process for the side channel is skipped, and zeros are fed to the + stereo unmixing process (see Section 4.2.8) instead. As stated + above, LBRR frames still include this flag when the LBRR flag + indicates that the side channel is not coded. In that case, if this + flag is zero (indicating that there should be a side channel), then + Packet Loss Concealment (PLC, see Section 4.4) SHOULD be invoked to + recover a side channel signal. + + +---------------+ + | PDF | + +---------------+ + | {192, 64}/256 | + +---------------+ + + Table 8: Mid-only Flag PDF + +4.2.7.3. Frame Type + + Each SILK frame contains a single "frame type" symbol that jointly + codes the signal type and quantization offset type of the + corresponding frame. If the current frame is a regular SILK frame + whose VAD bit was not set (an "inactive" frame), then the frame type + symbol takes on a value of either 0 or 1 and is decoded using the + first PDF in Table 9. If the frame is an LBRR frame or a regular + SILK frame whose VAD flag was set (an "active" frame), then the value + of the symbol may range from 2 to 5, inclusive, and is decoded using + the second PDF in Table 9. Table 10 translates between the value of + + + +Valin, et al. Expires May 3, 2012 [Page 42] + +Internet-Draft Interactive Audio Codec October 2011 + + + the frame type symbol and the corresponding signal type and + quantization offset type. + + +----------+-----------------------------+ + | VAD Flag | PDF | + +----------+-----------------------------+ + | Inactive | {26, 230, 0, 0, 0, 0}/256 | + | | | + | Active | {0, 0, 24, 74, 148, 10}/256 | + +----------+-----------------------------+ + + Table 9: Frame Type PDFs + + +------------+-------------+--------------------------+ + | Frame Type | Signal Type | Quantization Offset Type | + +------------+-------------+--------------------------+ + | 0 | Inactive | Low | + | | | | + | 1 | Inactive | High | + | | | | + | 2 | Unvoiced | Low | + | | | | + | 3 | Unvoiced | High | + | | | | + | 4 | Voiced | Low | + | | | | + | 5 | Voiced | High | + +------------+-------------+--------------------------+ + + Table 10: Signal Type and Quantization Offset Type from Frame Type + +4.2.7.4. Subframe Gains + + A separate quantization gain is coded for each 5 ms subframe. These + gains control the step size between quantization levels of the + excitation signal and, therefore, the quality of the reconstruction. + They are independent of the pitch gains coded for voiced frames. The + quantization gains are themselves uniformly quantized to 6 bits on a + log scale, giving them a resolution of approximately 1.369 dB and a + range of approximately 1.94 dB to 88.21 dB. + + The subframe gains are either coded independently, or relative to the + gain from the most recent coded subframe in the same channel. + Independent coding is used if and only if + + o This is the first subframe in the current SILK frame, and + + + + + +Valin, et al. Expires May 3, 2012 [Page 43] + +Internet-Draft Interactive Audio Codec October 2011 + + + o Either + + * This is the first SILK frame of its type (LBRR or regular) for + this channel in the current Opus frame, or + + * The previous SILK frame of the same type (LBRR or regular) for + this channel in the same Opus frame was not coded. + + In an independently coded subframe gain, the 3 most significant bits + of the quantization gain are decoded using a PDF selected from + Table 11 based on the decoded signal type (see Section 4.2.7.3). + + +-------------+------------------------------------+ + | Signal Type | PDF | + +-------------+------------------------------------+ + | Inactive | {32, 112, 68, 29, 12, 1, 1, 1}/256 | + | | | + | Unvoiced | {2, 17, 45, 60, 62, 47, 19, 4}/256 | + | | | + | Voiced | {1, 3, 26, 71, 94, 50, 9, 2}/256 | + +-------------+------------------------------------+ + + Table 11: PDFs for Independent Quantization Gain MSB Coding + + The 3 least significant bits are decoded using a uniform PDF: + + +--------------------------------------+ + | PDF | + +--------------------------------------+ + | {32, 32, 32, 32, 32, 32, 32, 32}/256 | + +--------------------------------------+ + + Table 12: PDF for Independent Quantization Gain LSB Coding + + For subframes which do not have an independent gain (including the + first subframe of frames not listed as using independent coding + above), the quantization gain is coded relative to the gain from the + previous subframe (in the same channel). The PDF in Table 13 yields + a delta gain index between 0 and 40, inclusive. + + +-------------------------------------------------------------------+ + | PDF | + +-------------------------------------------------------------------+ + | {6, 5, 11, 31, 132, 21, 8, 4, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, | + | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, | + | 1}/256 | + +-------------------------------------------------------------------+ + + + + +Valin, et al. Expires May 3, 2012 [Page 44] + +Internet-Draft Interactive Audio Codec October 2011 + + + Table 13: PDF for Delta Quantization Gain Coding + + The following formula translates this index into a quantization gain + for the current subframe using the gain from the previous subframe: + + log_gain = min(max(2*gain_index - 16, + previous_log_gain + gain_index - 4), 63) . + + The value here is not clamped at 0, and may reach values as low as + -16 over the course of consecutive subframes within a single Opus + frame. + + silk_gains_dequant() (gain_quant.c) dequantizes log_gain for the k'th + subframe and converts it into a linear Q16 scale factor via + + gain_Q16[k] = silk_log2lin((0x1D1C71*log_gain>>16) + 2090) + + The function silk_log2lin() (log2lin.c) computes an approximation of + 2**(inLog_Q7/128.0), where inLog_Q7 is its Q7 input. Let i = + inLog_Q7>>7 be the integer part of inLogQ7 and f = inLog_Q7&127 be + the fractional part. If i < 16, then + + (1<>16)+f)>>7)*(1<>16)+f)*((1<>7) . + + The final Q16 gain values lies between 4096 and 1686110208, inclusive + (representing scale factors of 0.0625 to 25728, respectively). + +4.2.7.5. Normalized Line Spectral Frequency (LSF) and Linear Predictive + Coding (LPC) Coefficients + + A set of normalized Line Spectral Frequency (LSF) coefficients follow + the quantization gains in the bitstream, and represent the Linear + Predictive Coding (LPC) coefficients for the current SILK frame. + Once decoded, the normalized LSFs form an increasing list of Q15 + values between 0 and 1. These represent the interleaved zeros on the + unit circle between 0 and pi (hence "normalized") in the standard + decomposition of the LPC filter into a symmetric part and an anti- + symmetric part (P and Q in Section 4.2.7.5.6). Because of non-linear + effects in the decoding process, an implementation SHOULD match the + fixed-point arithmetic described in this section exactly. An encoder + SHOULD also use the same process. + + The normalized LSFs are coded using a two-stage vector quantizer (VQ) + (Section 4.2.7.5.1 and Section 4.2.7.5.2). NB and MB frames use an + + + +Valin, et al. Expires May 3, 2012 [Page 45] + +Internet-Draft Interactive Audio Codec October 2011 + + + order-10 predictor, while WB frames use an order-16 predictor, and + thus have different sets of tables. After reconstructing the + normalized LSFs (Section 4.2.7.5.3), the decoder runs them through a + stabilization process (Section 4.2.7.5.4), interpolates them between + frames (Section 4.2.7.5.5), converts them back into LPC coefficients + (Section 4.2.7.5.6), and then runs them through further processes to + limit the range of the coefficients (Section 4.2.7.5.7) and the gain + of the filter (Section 4.2.7.5.8). All of this is necessary to + ensure the reconstruction process is stable. + +4.2.7.5.1. Stage 1 Normalized LSF Decoding + + The first VQ stage uses a 32-element codebook, coded with one of the + PDFs in Table 14, depending on the audio bandwidth and the signal + type of the current SILK frame. This yields a single index, I1, for + the entire frame. This indexes an element in a coarse codebook, + selects the PDFs for the second stage of the VQ, and selects the + prediction weights used to remove intra-frame redundancy from the + second stage. The actual codebook elements are listed in Table 23 + and Table 24, but they are not needed until the last stages of + reconstructing the LSF coefficients. + + +-----------+----------+--------------------------------------------+ + | Audio | Signal | PDF | + | Bandwidth | Type | | + +-----------+----------+--------------------------------------------+ + | NB or MB | Inactive | {44, 34, 30, 19, 21, 12, 11, 3, 3, 2, 16, | + | | or | 2, 2, 1, 5, 2, 1, 3, 3, 1, 1, 2, 2, 2, 3, | + | | unvoiced | 1, 9, 9, 2, 7, 2, 1}/256 | + | | | | + | NB or MB | Voiced | {1, 10, 1, 8, 3, 8, 8, 14, 13, 14, 1, 14, | + | | | 12, 13, 11, 11, 12, 11, 10, 10, 11, 8, 9, | + | | | 8, 7, 8, 1, 1, 6, 1, 6, 5}/256 | + | | | | + | WB | Inactive | {31, 21, 3, 17, 1, 8, 17, 4, 1, 18, 16, 4, | + | | or | 2, 3, 1, 10, 1, 3, 16, 11, 16, 2, 2, 3, 2, | + | | unvoiced | 11, 1, 4, 9, 8, 7, 3}/256 | + | | | | + | WB | Voiced | {1, 4, 16, 5, 18, 11, 5, 14, 15, 1, 3, 12, | + | | | 13, 14, 14, 6, 14, 12, 2, 6, 1, 12, 12, | + | | | 11, 10, 3, 10, 5, 1, 1, 1, 3}/256 | + +-----------+----------+--------------------------------------------+ + + Table 14: PDFs for Normalized LSF Index Stage-1 Decoding + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 46] + +Internet-Draft Interactive Audio Codec October 2011 + + +4.2.7.5.2. Stage 2 Normalized LSF Decoding + + A total of 16 PDFs are available for the LSF residual in the second + stage: the 8 (a...h) for NB and MB frames given in Table 15, and the + 8 (i...p) for WB frames given in Table 16. Which PDF is used for + which coefficient is driven by the index, I1, decoded in the first + stage. Table 17 lists the letter of the corresponding PDF for each + normalized LSF coefficient for NB and MB, and Table 18 lists the same + information for WB. + + +----------+--------------------------------------+ + | Codebook | PDF | + +----------+--------------------------------------+ + | a | {1, 1, 1, 15, 224, 11, 1, 1, 1}/256 | + | | | + | b | {1, 1, 2, 34, 183, 32, 1, 1, 1}/256 | + | | | + | c | {1, 1, 4, 42, 149, 55, 2, 1, 1}/256 | + | | | + | d | {1, 1, 8, 52, 123, 61, 8, 1, 1}/256 | + | | | + | e | {1, 3, 16, 53, 101, 74, 6, 1, 1}/256 | + | | | + | f | {1, 3, 17, 55, 90, 73, 15, 1, 1}/256 | + | | | + | g | {1, 7, 24, 53, 74, 67, 26, 3, 1}/256 | + | | | + | h | {1, 1, 18, 63, 78, 58, 30, 6, 1}/256 | + +----------+--------------------------------------+ + + Table 15: PDFs for NB/MB Normalized LSF Index Stage-2 Decoding + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 47] + +Internet-Draft Interactive Audio Codec October 2011 + + + +----------+---------------------------------------+ + | Codebook | PDF | + +----------+---------------------------------------+ + | i | {1, 1, 1, 9, 232, 9, 1, 1, 1}/256 | + | | | + | j | {1, 1, 2, 28, 186, 35, 1, 1, 1}/256 | + | | | + | k | {1, 1, 3, 42, 152, 53, 2, 1, 1}/256 | + | | | + | l | {1, 1, 10, 49, 126, 65, 2, 1, 1}/256 | + | | | + | m | {1, 4, 19, 48, 100, 77, 5, 1, 1}/256 | + | | | + | n | {1, 1, 14, 54, 100, 72, 12, 1, 1}/256 | + | | | + | o | {1, 1, 15, 61, 87, 61, 25, 4, 1}/256 | + | | | + | p | {1, 7, 21, 50, 77, 81, 17, 1, 1}/256 | + +----------+---------------------------------------+ + + Table 16: PDFs for WB Normalized LSF Index Stage-2 Decoding + + +----+---------------------+ + | I1 | Coefficient | + +----+---------------------+ + | | 0 1 2 3 4 5 6 7 8 9 | + | | | + | 0 | a a a a a a a a a a | + | | | + | 1 | b d b c c b c b b b | + | | | + | 2 | c b b b b b b b b b | + | | | + | 3 | b c c c c b c b b b | + | | | + | 4 | c d d d d c c c c c | + | | | + | 5 | a f d d c c c c b b | + | | | + | g | a c c c c c c c c b | + | | | + | 7 | c d g e e e f e f f | + | | | + | 8 | c e f f e f e g e e | + | | | + | 9 | c e e h e f e f f e | + | | | + | 10 | e d d d c d c c c c | + + + +Valin, et al. Expires May 3, 2012 [Page 48] + +Internet-Draft Interactive Audio Codec October 2011 + + + | 11 | b f f g e f e f f f | + | | | + | 12 | c h e g f f f f f f | + | | | + | 13 | c h f f f f f g f e | + | | | + | 14 | d d f e e f e f e e | + | | | + | 15 | c d d f f e e e e e | + | | | + | 16 | c e e g e f e f f f | + | | | + | 17 | c f e g f f f e f e | + | | | + | 18 | c h e f e f e f f f | + | | | + | 19 | c f e g h g f g f e | + | | | + | 20 | d g h e g f f g e f | + | | | + | 21 | c h g e e e f e f f | + | | | + | 22 | e f f e g g f g f e | + | | | + | 23 | c f f g f g e g e e | + | | | + | 24 | e f f f d h e f f e | + | | | + | 25 | c d e f f g e f f e | + | | | + | 26 | c d c d d e c d d d | + | | | + | 27 | b b c c c c c d c c | + | | | + | 28 | e f f g g g f g e f | + | | | + | 29 | d f f e e e e d d c | + | | | + | 30 | c f d h f f e e f e | + | | | + | 31 | e e f e f g f g f e | + +----+---------------------+ + + Table 17: Codebook Selection for NB/MB Normalized LSF Index Stage 2 + Decoding + + + + + + +Valin, et al. Expires May 3, 2012 [Page 49] + +Internet-Draft Interactive Audio Codec October 2011 + + + +----+------------------------------------------------+ + | I1 | Coefficient | + +----+------------------------------------------------+ + | | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 | + | | | + | 0 | i i i i i i i i i i i i i i i i | + | | | + | 1 | k l l l l l k k k k k j j j i l | + | | | + | 2 | k n n l p m m n k n m n n m l l | + | | | + | 3 | i k j k k j j j j j i i i i i j | + | | | + | 4 | i o n m o m p n m m m n n m m l | + | | | + | 5 | i l n n m l l n l l l l l l k m | + | | | + | 6 | i i i i i i i i i i i i i i i i | + | | | + | 7 | i k o l p k n l m n n m l l k l | + | | | + | 8 | i o k o o m n m o n m m n l l l | + | | | + | 9 | k j i i i i i i i i i i i i i i | + | | | + | j0 | i j i i i i i i i i i i i i i j | + | | | + | 11 | k k l m n l l l l l l l k k j l | + | | | + | 12 | k k l l m l l l l l l l l k j l | + | | | + | 13 | l m m m o m m n l n m m n m l m | + | | | + | 14 | i o m n m p n k o n p m m l n l | + | | | + | 15 | i j i j j j j j j j i i i i j i | + | | | + | 16 | j o n p n m n l m n m m m l l m | + | | | + | 17 | j l l m m l l n k l l n n n l m | + | | | + | 18 | k l l k k k l k j k j k j j j m | + | | | + | 19 | i k l n l l k k k j j i i i i i | + | | | + | 20 | l m l n l l k k j j j j j k k m | + | | | + | 21 | k o l p p m n m n l n l l k l l | + + + +Valin, et al. Expires May 3, 2012 [Page 50] + +Internet-Draft Interactive Audio Codec October 2011 + + + | 22 | k l n o o l n l m m l l l l k m | + | | | + | 23 | j l l m m m m l n n n l j j j j | + | | | + | 24 | k n l o o m p m m n l m m l l l | + | | | + | 25 | i o j j i i i i i i i i i i i i | + | | | + | 26 | i o o l n k n n l m m p p m m m | + | | | + | 27 | l l p l n m l l l k k l l l k l | + | | | + | 28 | i i j i i i k j k j j k k k j j | + | | | + | 29 | i l k n l l k l k j i i j i i j | + | | | + | 30 | l n n m p n l l k l k k j i j i | + | | | + | 31 | k l n l m l l l k j k o m i i i | + +----+------------------------------------------------+ + + Table 18: Codebook Selection for WB Normalized LSF Index Stage 2 + Decoding + + Decoding the second stage residual proceeds as follows. For each + coefficient, the decoder reads a symbol using the PDF corresponding + to I1 from either Table 17 or Table 18, and subtracts 4 from the + result to give an index in the range -4 to 4, inclusive. If the + index is either -4 or 4, it reads a second symbol using the PDF in + Table 19, and adds the value of this second symbol to the index, + using the same sign. This gives the index, I2[k], a total range of + -10 to 10, inclusive. + + +-------------------------------+ + | PDF | + +-------------------------------+ + | {156, 60, 24, 9, 4, 2, 1}/256 | + +-------------------------------+ + + Table 19: PDF for Normalized LSF Index Extension Decoding + + The decoded indices from both stages are translated back into + normalized LSF coefficients in silk_NLSF_decode() (NLSF_decode.c). + The stage-2 indices represent residuals after both the first stage of + the VQ and a separate backwards-prediction step. The backwards + prediction process in the encoder subtracts a prediction from each + residual formed by a multiple of the coefficient that follows it. + The decoder must undo this process. Table 20 contains lists of + + + +Valin, et al. Expires May 3, 2012 [Page 51] + +Internet-Draft Interactive Audio Codec October 2011 + + + prediction weights for each coefficient. There are two lists for NB + and MB, and another two lists for WB, giving two possible prediction + weights for each coefficient. + + +-------------+-----+-----+-----+-----+ + | Coefficient | A | B | C | D | + +-------------+-----+-----+-----+-----+ + | 0 | 179 | 116 | 175 | 68 | + | | | | | | + | 1 | 138 | 67 | 148 | 62 | + | | | | | | + | 2 | 140 | 82 | 160 | 66 | + | | | | | | + | 3 | 148 | 59 | 176 | 60 | + | | | | | | + | 4 | 151 | 92 | 178 | 72 | + | | | | | | + | 5 | 149 | 72 | 173 | 117 | + | | | | | | + | 6 | 153 | 100 | 174 | 85 | + | | | | | | + | 7 | 151 | 89 | 164 | 90 | + | | | | | | + | 8 | 163 | 92 | 177 | 118 | + | | | | | | + | 9 | | | 174 | 136 | + | | | | | | + | 10 | | | 196 | 151 | + | | | | | | + | 11 | | | 182 | 142 | + | | | | | | + | 12 | | | 198 | 160 | + | | | | | | + | 13 | | | 192 | 142 | + | | | | | | + | 14 | | | 182 | 155 | + +-------------+-----+-----+-----+-----+ + + Table 20: Prediction Weights for Normalized LSF Decoding + + The prediction is undone using the procedure implemented in + silk_NLSF_residual_dequant() (NLSF_decode.c), which is as follows. + Each coefficient selects its prediction weight from one of the two + lists based on the stage-1 index, I1. Table 21 gives the selections + for each coefficient for NB and MB, and Table 22 gives the selections + for WB. Let d_LPC be the order of the codebook, i.e., 10 for NB and + MB, and 16 for WB, and let pred_Q8[k] be the weight for the k'th + coefficient selected by this process for 0 <= k < d_LPC-1. Then, the + + + +Valin, et al. Expires May 3, 2012 [Page 52] + +Internet-Draft Interactive Audio Codec October 2011 + + + stage-2 residual for each coefficient is computed via + + res_Q10[k] = (k+1 < d_LPC ? (res_Q10[k+1]*pred_Q8[k])>>8 : 0) + + ((((I2[k]<<10) + sign(I2[k])*102)*qstep)>>16) , + + where qstep is the Q16 quantization step size, which is 11796 for NB + and MB and 9830 for WB (representing step sizes of approximately 0.18 + and 0.15, respectively). + + +----+-------------------+ + | I1 | Coefficient | + +----+-------------------+ + | | 0 1 2 3 4 5 6 7 8 | + | | | + | 0 | A B A A A A A A A | + | | | + | 1 | B A A A A A A A A | + | | | + | 2 | A A A A A A A A A | + | | | + | 3 | B B B A A A A B A | + | | | + | 4 | A B A A A A A A A | + | | | + | 5 | A B A A A A A A A | + | | | + | 6 | B A B B A A A B A | + | | | + | 7 | A B B A A B B A A | + | | | + | 8 | A A B B A B A B B | + | | | + | 9 | A A B B A A B B B | + | | | + | 10 | A A A A A A A A A | + | | | + | 11 | A B A B B B B B A | + | | | + | 12 | A B A B B B B B A | + | | | + | 13 | A B B B B B B B A | + | | | + | 14 | B A B B A B B B B | + | | | + | 15 | A B B B B B A B A | + | | | + | 16 | A A B B A B A B A | + | | | + + + +Valin, et al. Expires May 3, 2012 [Page 53] + +Internet-Draft Interactive Audio Codec October 2011 + + + | 17 | A A B B B A B B B | + | | | + | 18 | A B B A A B B B A | + | | | + | 19 | A A A B B B A B A | + | | | + | 20 | A B B A A B A B A | + | | | + | 21 | A B B A A A B B A | + | | | + | 22 | A A A A A B B B B | + | | | + | 23 | A A B B A A A B B | + | | | + | 24 | A A A B A B B B B | + | | | + | 25 | A B B B B B B B A | + | | | + | 26 | A A A A A A A A A | + | | | + | 27 | A A A A A A A A A | + | | | + | 28 | A A B A B B A B A | + | | | + | 29 | A A A B A A A A A | + | | | + | 30 | A A A B B A B A B | + | | | + | 31 | B A B B A B B B B | + +----+-------------------+ + + Table 21: Prediction Weight Selection for NB/MB Normalized LSF + Decoding + + +----+---------------------------------------------+ + | I1 | Coefficient | + +----+---------------------------------------------+ + | | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 | + | | | + | 0 | C C C C C C C C C C C C C C D | + | | | + | 1 | C C C C C C C C C C C C C C C | + | | | + | 2 | C C D C C D D D C D D D D C C | + | | | + | 3 | C C C C C C C C C C C C D C C | + | | | + | 4 | C D D C D C D D C D D D D D C | + + + +Valin, et al. Expires May 3, 2012 [Page 54] + +Internet-Draft Interactive Audio Codec October 2011 + + + | 5 | C D C C C C C C C C C C C C C | + | | | + | 6 | D C C C C C C C C C C D C D C | + | | | + | 7 | C D D C C C D C D D D C D C D | + | | | + | 8 | C D C D D C D C D C D D D D D | + | | | + | 9 | C C C C C C C C C C C C C C D | + | | | + | 10 | C D C C C C C C C C C C C C C | + | | | + | 11 | C C D C D D D D D D D C D C C | + | | | + | 12 | C C D C C D C D C D C C D C C | + | | | + | 13 | C C C C D D C D C D D D D C C | + | | | + | 14 | C D C C C D D C D D D C D D D | + | | | + | 15 | C C D D C C C C C C C C D D C | + | | | + | 16 | C D D C D C D D D D D C D C C | + | | | + | 17 | C C D C C C C D C C D D D C C | + | | | + | 18 | C C C C C C C C C C C C C C D | + | | | + | 19 | C C C C C C C C C C C C D C C | + | | | + | 20 | C C C C C C C C C C C C C C C | + | | | + | 21 | C D C D C D D C D C D C D D C | + | | | + | 22 | C C D D D D C D D C C D D C C | + | | | + | 23 | C D D C D C D C D C C C C D C | + | | | + | 24 | C C C D D C D C D D D D D D D | + | | | + | 25 | C C C C C C C C C C C C C C D | + | | | + | 26 | C D D C C C D D C C D D D D D | + | | | + | 27 | C C C C C D C D D D D C D D D | + | | | + | 28 | C C C C C C C C C C C C C C D | + | | | + + + +Valin, et al. Expires May 3, 2012 [Page 55] + +Internet-Draft Interactive Audio Codec October 2011 + + + | 29 | C C C C C C C C C C C C C C D | + | | | + | 30 | D C C C C C C C C C C D C C C | + | | | + | 31 | C C D C C D D D C C D C C D C | + +----+---------------------------------------------+ + + Table 22: Prediction Weight Selection for WB Normalized LSF Decoding + +4.2.7.5.3. Reconstructing the Normalized LSF Coefficients + + Once the stage-1 index I1 and the stage-2 residual res_Q10[] have + been decoded, the final normalized LSF coefficients can be + reconstructed. + + The spectral distortion introduced by the quantization of each LSF + coefficient varies, so the stage-2 residual is weighted accordingly, + using the low-complexity Inverse Harmonic Mean Weighting (IHMW) + function proposed in [laroia-icassp]. The weights are derived + directly from the stage-1 codebook vector. Let cb1_Q8[k] be the k'th + entry of the stage-1 codebook vector from Table 23 or Table 24. Then + for 0 <= k < d_LPC the following expression computes the square of + the weight as a Q18 value: + + + w2_Q18[k] = (1024/(cb1_Q8[k] - cb1_Q8[k-1]) + + 1024/(cb1_Q8[k+1] - cb1_Q8[k])) << 16 , + + + where cb1_Q8[-1] = 0 and cb1_Q8[d_LPC] = 256, and the division is + exact integer division. This is reduced to an unsquared, Q9 value + using the following square-root approximation: + + i = ilog(w2_Q18[k]) + f = (w2_Q18[k]>>(i-8)) & 127 + y = ((i&1) ? 32768 : 46214) >> ((32-i)>>1) + w_Q9[k] = y + ((213*f*y)>>16) + + The cb1_Q8[] vector completely determines these weights, and they may + be tabulated and stored as 13-bit unsigned values (with a range of + 1819 to 5227, inclusive) to avoid computing them when decoding. The + reference implementation already requires code to compute these + weights on unquantized coefficients in the encoder, in + silk_NLSF_VQ_weights_laroia() (NLSF_VQ_weights_laroia.c) and its + callers, so it reuses that code in the decoder instead of using a + pre-computed table to reduce the amount of ROM required. + + + + + +Valin, et al. Expires May 3, 2012 [Page 56] + +Internet-Draft Interactive Audio Codec October 2011 + + + +----+----------------------------------------+ + | I1 | Codebook (Q8) | + +----+----------------------------------------+ + | | 0 1 2 3 4 5 6 7 8 9 | + | | | + | 0 | 12 35 60 83 108 132 157 180 206 228 | + | | | + | 1 | 15 32 55 77 101 125 151 175 201 225 | + | | | + | 2 | 19 42 66 89 114 137 162 184 209 230 | + | | | + | 3 | 12 25 50 72 97 120 147 172 200 223 | + | | | + | 4 | 26 44 69 90 114 135 159 180 205 225 | + | | | + | 5 | 13 22 53 80 106 130 156 180 205 228 | + | | | + | 6 | 15 25 44 64 90 115 142 168 196 222 | + | | | + | 7 | 19 24 62 82 100 120 145 168 190 214 | + | | | + | 8 | 22 31 50 79 103 120 151 170 203 227 | + | | | + | 9 | 21 29 45 65 106 124 150 171 196 224 | + | | | + | 10 | 30 49 75 97 121 142 165 186 209 229 | + | | | + | 11 | 19 25 52 70 93 116 143 166 192 219 | + | | | + | 12 | 26 34 62 75 97 118 145 167 194 217 | + | | | + | 13 | 25 33 56 70 91 113 143 165 196 223 | + | | | + | 14 | 21 34 51 72 97 117 145 171 196 222 | + | | | + | 15 | 20 29 50 67 90 117 144 168 197 221 | + | | | + | 16 | 22 31 48 66 95 117 146 168 196 222 | + | | | + | 17 | 24 33 51 77 116 134 158 180 200 224 | + | | | + | 18 | 21 28 70 87 106 124 149 170 194 217 | + | | | + | 19 | 26 33 53 64 83 117 152 173 204 225 | + | | | + | 20 | 27 34 65 95 108 129 155 174 210 225 | + | | | + | 21 | 20 26 72 99 113 131 154 176 200 219 | + + + +Valin, et al. Expires May 3, 2012 [Page 57] + +Internet-Draft Interactive Audio Codec October 2011 + + + | 22 | 34 43 61 78 93 114 155 177 205 229 | + | | | + | 23 | 23 29 54 97 124 138 163 179 209 229 | + | | | + | 24 | 30 38 56 89 118 129 158 178 200 231 | + | | | + | 25 | 21 29 49 63 85 111 142 163 193 222 | + | | | + | 26 | 27 48 77 103 133 158 179 196 215 232 | + | | | + | 27 | 29 47 74 99 124 151 176 198 220 237 | + | | | + | 28 | 33 42 61 76 93 121 155 174 207 225 | + | | | + | 29 | 29 53 87 112 136 154 170 188 208 227 | + | | | + | 30 | 24 30 52 84 131 150 166 186 203 229 | + | | | + | 31 | 37 48 64 84 104 118 156 177 201 230 | + +----+----------------------------------------+ + + Table 23: Codebook Vectors for NB/MB Normalized LSF Stage 1 Decoding + + +----+------------------------------------------------------------+ + | I1 | Codebook (Q8) | + +----+------------------------------------------------------------+ + | | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 | + | | | + | 0 | 7 23 38 54 69 85 100 116 131 147 162 178 193 208 223 239 | + | | | + | 1 | 13 25 41 55 69 83 98 112 127 142 157 171 187 203 220 236 | + | | | + | 2 | 15 21 34 51 61 78 92 106 126 136 152 167 185 205 225 240 | + | | | + | 3 | 10 21 36 50 63 79 95 110 126 141 157 173 189 205 221 237 | + | | | + | 4 | 17 20 37 51 59 78 89 107 123 134 150 164 184 205 224 240 | + | | | + | 5 | 10 15 32 51 67 81 96 112 129 142 158 173 189 204 220 236 | + | | | + | 6 | 8 21 37 51 65 79 98 113 126 138 155 168 179 192 209 218 | + | | | + | 7 | 12 15 34 55 63 78 87 108 118 131 148 167 185 203 219 236 | + | | | + | 8 | 16 19 32 36 56 79 91 108 118 136 154 171 186 204 220 237 | + | | | + | 9 | 11 28 43 58 74 89 105 120 135 150 165 180 196 211 226 241 | + | | | + + + +Valin, et al. Expires May 3, 2012 [Page 58] + +Internet-Draft Interactive Audio Codec October 2011 + + + | 10 | 6 16 33 46 60 75 92 107 123 137 156 169 185 199 214 225 | + | | | + | 11 | 11 19 30 44 57 74 89 105 121 135 152 169 186 202 218 234 | + | | | + | 12 | 12 19 29 46 57 71 88 100 120 132 148 165 182 199 216 233 | + | | | + | 13 | 17 23 35 46 56 77 92 106 123 134 152 167 185 204 222 237 | + | | | + | 14 | 14 17 45 53 63 75 89 107 115 132 151 171 188 206 221 240 | + | | | + | 15 | 9 16 29 40 56 71 88 103 119 137 154 171 189 205 222 237 | + | | | + | 16 | 16 19 36 48 57 76 87 105 118 132 150 167 185 202 218 236 | + | | | + | 17 | 12 17 29 54 71 81 94 104 126 136 149 164 182 201 221 237 | + | | | + | 18 | 15 28 47 62 79 97 115 129 142 155 168 180 194 208 223 238 | + | | | + | 19 | 8 14 30 45 62 78 94 111 127 143 159 175 192 207 223 239 | + | | | + | 20 | 17 30 49 62 79 92 107 119 132 145 160 174 190 204 220 235 | + | | | + | 21 | 14 19 36 45 61 76 91 108 121 138 154 172 189 205 222 238 | + | | | + | 22 | 12 18 31 45 60 76 91 107 123 138 154 171 187 204 221 236 | + | | | + | 23 | 13 17 31 43 53 70 83 103 114 131 149 167 185 203 220 237 | + | | | + | 24 | 17 22 35 42 58 78 93 110 125 139 155 170 188 206 224 240 | + | | | + | 25 | 8 15 34 50 67 83 99 115 131 146 162 178 193 209 224 239 | + | | | + | 26 | 13 16 41 66 73 86 95 111 128 137 150 163 183 206 225 241 | + | | | + | 27 | 17 25 37 52 63 75 92 102 119 132 144 160 175 191 212 231 | + | | | + | 28 | 19 31 49 65 83 100 117 133 147 161 174 187 200 213 227 242 | + | | | + | 29 | 18 31 52 68 88 103 117 126 138 149 163 177 192 207 223 239 | + | | | + | 30 | 16 29 47 61 76 90 106 119 133 147 161 176 193 209 224 240 | + | | | + | 31 | 15 21 35 50 61 73 86 97 110 119 129 141 175 198 218 237 | + +----+------------------------------------------------------------+ + + Table 24: Codebook Vectors for WB Normalized LSF Stage 1 Decoding + + Given the stage-1 codebook entry cb1_Q8[], the stage-2 residual + + + +Valin, et al. Expires May 3, 2012 [Page 59] + +Internet-Draft Interactive Audio Codec October 2011 + + + res_Q10[], and their corresponding weights, w_Q9[], the reconstructed + normalized LSF coefficients are + + NLSF_Q15[k] = (cb1_Q8[k]<<7) + (res_Q10[k]<<14)/w_Q9[k] , + + where the division is exact integer division. However, nothing in + either the reconstruction process or the quantization process in the + encoder thus far guarantees that the coefficients are monotonically + increasing and separated well enough to ensure a stable filter. When + using the reference encoder, roughly 2% of frames violate this + constraint. The next section describes a stabilization procedure + used to make these guarantees. + +4.2.7.5.4. Normalized LSF Stabilization + + The normalized LSF stabilization procedure is implemented in + silk_NLSF_stabilize() (NLSF_stabilize.c). This process ensures that + consecutive values of the normalized LSF coefficients, NLSF_Q15[], + are spaced some minimum distance apart (predetermined to be the 0.01 + percentile of a large training set). Table 25 gives the minimum + spacings for NB and MB and those for WB, where row k is the minimum + allowed value of NLSF_Q[k]-NLSF_Q[k-1]. For the purposes of + computing this spacing for the first and last coefficient, + NLSF_Q15[-1] is taken to be 0, and NLSF_Q15[d_LPC] is taken to be + 32768. + + + + + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 60] + +Internet-Draft Interactive Audio Codec October 2011 + + + +-------------+-----------+-----+ + | Coefficient | NB and MB | WB | + +-------------+-----------+-----+ + | 0 | 250 | 100 | + | | | | + | 1 | 3 | 3 | + | | | | + | 2 | 6 | 40 | + | | | | + | 3 | 3 | 3 | + | | | | + | 4 | 3 | 3 | + | | | | + | 5 | 3 | 3 | + | | | | + | 6 | 4 | 5 | + | | | | + | 7 | 3 | 14 | + | | | | + | 8 | 3 | 14 | + | | | | + | 9 | 3 | 10 | + | | | | + | 10 | 461 | 11 | + | | | | + | 11 | | 3 | + | | | | + | 12 | | 8 | + | | | | + | 13 | | 9 | + | | | | + | 14 | | 7 | + | | | | + | 15 | | 3 | + | | | | + | 16 | | 347 | + +-------------+-----------+-----+ + + Table 25: Minimum Spacing for Normalized LSF Coefficients + + The procedure starts off by trying to make small adjustments which + attempt to minimize the amount of distortion introduced. After 20 + such adjustments, it falls back to a more direct method which + guarantees the constraints are enforced but may require large + adjustments. + + Let NDeltaMin_Q15[k] be the minimum required spacing for the current + audio bandwidth from Table 25. First, the procedure finds the index + + + +Valin, et al. Expires May 3, 2012 [Page 61] + +Internet-Draft Interactive Audio Codec October 2011 + + + i where NLSF_Q15[i] - NLSF_Q15[i-1] - NDeltaMin_Q15[i] is the + smallest, breaking ties by using the lower value of i. If this value + is non-negative, then the stabilization stops; the coefficients + satisfy all the constraints. Otherwise, if i == 0, it sets + NLSF_Q15[0] to NDeltaMin_Q15[0], and if i == d_LPC, it sets + NLSF_Q15[d_LPC-1] to (32768 - NDeltaMin_Q15[d_LPC]). For all other + values of i, both NLSF_Q15[i-1] and NLSF_Q15[i] are updated as + follows: + + i-1 + __ + min_center_Q15 = (NDeltaMin[i]>>1) + \ NDeltaMin[k] + /_ + k=0 + d_LPC + __ + max_center_Q15 = 32768 - (NDeltaMin[i]>>1) - \ NDeltaMin[k] + /_ + k=i+1 + center_freq_Q15 = clamp(min_center_Q15[i], + (NLSF_Q15[i-1] + NLSF_Q15[i] + 1)>>1, + max_center_Q15[i]) + + NLSF_Q15[i-1] = center_freq_Q15 - (NDeltaMin_Q15[i]>>1) + + NLSF_Q15[i] = NLSF_Q15[i-1] + NDeltaMin_Q15[i] . + + Then the procedure repeats again, until it has either executed 20 + times or has stopped because the coefficients satisfy all the + constraints. + + After the 20th repetition of the above procedure, the following + fallback procedure executes once. First, the values of NLSF_Q15[k] + for 0 <= k < d_LPC are sorted in ascending order. Then for each + value of k from 0 to d_LPC-1, NLSF_Q15[k] is set to + + max(NLSF_Q15[k], NLSF_Q15[k-1] + NDeltaMin_Q15[k]) . + + Next, for each value of k from d_LPC-1 down to 0, NLSF_Q15[k] is set + to + + min(NLSF_Q15[k], NLSF_Q15[k+1] - NDeltaMin_Q15[k+1]) . + +4.2.7.5.5. Normalized LSF Interpolation + + For 20 ms SILK frames, the first half of the frame (i.e., the first + two subframes) may use normalized LSF coefficients that are + interpolated between the decoded LSFs for the most recent coded frame + + + +Valin, et al. Expires May 3, 2012 [Page 62] + +Internet-Draft Interactive Audio Codec October 2011 + + + (in the same channel) and the current frame. A Q2 interpolation + factor follows the LSF coefficient indices in the bitstream, which is + decoded using the PDF in Table 26. This happens in + silk_decode_indices() (decode_indices.c). For the first frame after + a decoder reset (see Section 4.5), when no prior LSF coefficients are + available, the decoder still decodes this factor, but ignores its + value and always uses 4 instead. For 10 ms SILK frames, this factor + is not stored at all. + + +---------------------------+ + | PDF | + +---------------------------+ + | {13, 22, 29, 11, 181}/256 | + +---------------------------+ + + Table 26: PDF for Normalized LSF Interpolation Index + + Let n2_Q15[k] be the normalized LSF coefficients decoded by the + procedure in Section 4.2.7.5, n0_Q15[k] be the LSF coefficients + decoded for the prior frame, and w_Q2 be the interpolation factor. + Then the normalized LSF coefficients used for the first half of a + 20 ms frame, n1_Q15[k], are + + n1_Q15[k] = n0_Q15[k] + (w_Q2*(n2_Q15[k] - n0_Q15[k]) >> 2) . + + This interpolation is performed in silk_decode_parameters() + (decode_parameters.c). + +4.2.7.5.6. Converting Normalized LSFs to LPC Coefficients + + Any LPC filter A(z) can be split into a symmetric part P(z) and an + anti-symmetric part Q(z) such that + + d_LPC + __ -k 1 + A(z) = 1 - \ a[k] * z = - * (P(z) + Q(z)) + /_ 2 + k=1 + + with + + -d_LPC-1 -1 + P(z) = A(z) + z * A(z ) + + -d_LPC-1 -1 + Q(z) = A(z) - z * A(z ) . + + The even normalized LSF coefficients correspond to a pair of + + + +Valin, et al. Expires May 3, 2012 [Page 63] + +Internet-Draft Interactive Audio Codec October 2011 + + + conjugate roots of P(z), while the odd coefficients correspond to a + pair of conjugate roots of Q(z), all of which lie on the unit circle. + In addition, P(z) has a root at pi and Q(z) has a root at 0. Thus, + they may be reconstructed mathematically from a set of normalized LSF + coefficients, n[k], as + + d_LPC/2-1 + -1 ___ -1 -2 + P(z) = (1 + z ) * | | (1 - 2*cos(pi*n[2*k])*z + z ) + k=0 + + d_LPC/2-1 + -1 ___ -1 -2 + Q(z) = (1 - z ) * | | (1 - 2*cos(pi*n[2*k+1])*z + z ) + k=0 + + However, SILK performs this reconstruction using a fixed-point + approximation so that all decoders can reproduce it in a bit-exact + manner to avoid prediction drift. The function silk_NLSF2A() + (NLSF2A.c) implements this procedure. + + To start, it approximates cos(pi*n[k]) using a table lookup with + linear interpolation. The encoder SHOULD use the inverse of this + piecewise linear approximation, rather than the true inverse of the + cosine function, when deriving the normalized LSF coefficients. + These values are also re-ordered to improve numerical accuracy when + constructing the LPC polynomials. + + + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 64] + +Internet-Draft Interactive Audio Codec October 2011 + + + +-------------+-----------+----+ + | Coefficient | NB and MB | WB | + +-------------+-----------+----+ + | 0 | 0 | 0 | + | | | | + | 1 | 9 | 15 | + | | | | + | 2 | 6 | 8 | + | | | | + | 3 | 3 | 7 | + | | | | + | 4 | 4 | 4 | + | | | | + | 5 | 5 | 11 | + | | | | + | 6 | 8 | 12 | + | | | | + | 7 | 1 | 3 | + | | | | + | 8 | 2 | 2 | + | | | | + | 9 | 7 | 13 | + | | | | + | 10 | | 10 | + | | | | + | 11 | | 5 | + | | | | + | 12 | | 6 | + | | | | + | 13 | | 9 | + | | | | + | 14 | | 14 | + | | | | + | 15 | | 1 | + +-------------+-----------+----+ + + Table 27: LSF Ordering for Polynomial Evaluation + + The top 7 bits of each normalized LSF coefficient index a value in + the table, and the next 8 bits interpolate between it and the next + value. Let i = (n[k] >> 8) be the integer index and f = (n[k] & 255) + be the fractional part of a given coefficient. Then the re-ordered, + approximated cosine, c_Q17[ordering[k]], is + + c_Q17[ordering[k]] = (cos_Q13[i]*256 + + (cos_Q13[i+1]-cos_Q13[i])*f + 8) >> 4 , + + where ordering[k] is the k'th entry of the column of Table 27 + + + +Valin, et al. Expires May 3, 2012 [Page 65] + +Internet-Draft Interactive Audio Codec October 2011 + + + corresponding to the current audio bandwidth and cos_Q13[i] is the + i'th entry of Table 28. + + +-----+-------+-------+-------+-------+ + | i | +0 | +1 | +2 | +3 | + +-----+-------+-------+-------+-------+ + | 0 | 8192 | 8190 | 8182 | 8170 | + | | | | | | + | 4 | 8152 | 8130 | 8104 | 8072 | + | | | | | | + | 8 | 8034 | 7994 | 7946 | 7896 | + | | | | | | + | 12 | 7840 | 7778 | 7714 | 7644 | + | | | | | | + | 16 | 7568 | 7490 | 7406 | 7318 | + | | | | | | + | 20 | 7226 | 7128 | 7026 | 6922 | + | | | | | | + | 24 | 6812 | 6698 | 6580 | 6458 | + | | | | | | + | 28 | 6332 | 6204 | 6070 | 5934 | + | | | | | | + | 32 | 5792 | 5648 | 5502 | 5352 | + | | | | | | + | 36 | 5198 | 5040 | 4880 | 4718 | + | | | | | | + | 40 | 4552 | 4382 | 4212 | 4038 | + | | | | | | + | 44 | 3862 | 3684 | 3502 | 3320 | + | | | | | | + | 48 | 3136 | 2948 | 2760 | 2570 | + | | | | | | + | 52 | 2378 | 2186 | 1990 | 1794 | + | | | | | | + | 56 | 1598 | 1400 | 1202 | 1002 | + | | | | | | + | 60 | 802 | 602 | 402 | 202 | + | | | | | | + | 64 | 0 | -202 | -402 | -602 | + | | | | | | + | 68 | -802 | -1002 | -1202 | -1400 | + | | | | | | + | 72 | -1598 | -1794 | -1990 | -2186 | + | | | | | | + | 76 | -2378 | -2570 | -2760 | -2948 | + | | | | | | + | 80 | -3136 | -3320 | -3502 | -3684 | + | | | | | | + + + +Valin, et al. Expires May 3, 2012 [Page 66] + +Internet-Draft Interactive Audio Codec October 2011 + + + | 84 | -3862 | -4038 | -4212 | -4382 | + | | | | | | + | 88 | -4552 | -4718 | -4880 | -5040 | + | | | | | | + | 92 | -5198 | -5352 | -5502 | -5648 | + | | | | | | + | 96 | -5792 | -5934 | -6070 | -6204 | + | | | | | | + | 100 | -6332 | -6458 | -6580 | -6698 | + | | | | | | + | 104 | -6812 | -6922 | -7026 | -7128 | + | | | | | | + | 108 | -7226 | -7318 | -7406 | -7490 | + | | | | | | + | 112 | -7568 | -7644 | -7714 | -7778 | + | | | | | | + | 116 | -7840 | -7896 | -7946 | -7994 | + | | | | | | + | 120 | -8034 | -8072 | -8104 | -8130 | + | | | | | | + | 124 | -8152 | -8170 | -8182 | -8190 | + | | | | | | + | 128 | -8192 | | | | + +-----+-------+-------+-------+-------+ + + Table 28: Q13 Cosine Table for LSF Conversion + + Given the list of cosine values, silk_NLSF2A_find_poly() (NLSF2A.c) + computes the coefficients of P and Q, described here via a simple + recurrence. Let p_Q16[k][j] and q_Q16[k][j] be the coefficients of + the products of the first (k+1) root pairs for P and Q, with j + indexing the coefficient number. Only the first (k+2) coefficients + are needed, as the products are symmetric. Let + p_Q16[0][0] = q_Q16[0][0] = 1<<16, p_Q16[0][1] = -c_Q17[0], + q_Q16[0][1] = -c_Q17[1], and d2 = d_LPC/2. As boundary conditions, + assume p_Q16[k][j] = q_Q16[k][j] = 0 for all j < 0. Also, assume + p_Q16[k][k+2] = p_Q16[k][k] and q_Q16[k][k+2] = q_Q16[k][k] (because + of the symmetry). Then, for 0 < k < d2 and 0 <= j <= k+1, + + p_Q16[k][j] = p_Q16[k-1][j] + p_Q16[k-1][j-2] + - ((c_Q17[2*k]*p_Q16[k-1][j-1] + 32768)>>16) , + + q_Q16[k][j] = q_Q16[k-1][j] + q_Q16[k-1][j-2] + - ((c_Q17[2*k+1]*q_Q16[k-1][j-1] + 32768)>>16) . + + The use of Q17 values for the cosine terms in an otherwise Q16 + expression implicitly scales them by a factor of 2. The + multiplications in this recurrence may require up to 48 bits of + + + +Valin, et al. Expires May 3, 2012 [Page 67] + +Internet-Draft Interactive Audio Codec October 2011 + + + precision in the result to avoid overflow. In practice, each row of + the recurrence only depends on the previous row, so an implementation + does not need to store all of them. + + silk_NLSF2A() uses the values from the last row of this recurrence to + reconstruct a 32-bit version of the LPC filter (without the leading + 1.0 coefficient), a32_Q17[k], 0 <= k < d2: + + a32_Q17[k] = -(q_Q16[d2-1][k+1] - q_Q16[d2-1][k]) + - (p_Q16[d2-1][k+1] + p_Q16[d2-1][k])) , + + a32_Q17[d_LPC-k-1] = (q_Q16[d2-1][k+1] - q_Q16[d2-1][k]) + - (p_Q16[d2-1][k+1] + p_Q16[d2-1][k])) . + + The sum and difference of two terms from each of the p_Q16 and q_Q16 + coefficient lists reflect the (1 + z**-1) and (1 - z**-1) factors of + P and Q, respectively. The promotion of the expression from Q16 to + Q17 implicitly scales the result by 1/2. + +4.2.7.5.7. Limiting the Range of the LPC Coefficients + + The a32_Q17[] coefficients are too large to fit in a 16-bit value, + which significantly increases the cost of applying this filter in + fixed-point decoders. Reducing them to Q12 precision doesn't incur + any significant quality loss, but still does not guarantee they will + fit. silk_NLSF2A() applies up to 10 rounds of bandwidth expansion to + limit the dynamic range of these coefficients. Even floating-point + decoders SHOULD perform these steps, to avoid mismatch. + + For each round, the process first finds the index k such that + abs(a32_Q17[k]) is largest, breaking ties by choosing the lowest + value of k. Then, it computes the corresponding Q12 precision value, + maxabs_Q12, subject to an upper bound to avoid overflow in subsequent + computations: + + maxabs_Q12 = min((maxabs_Q17 + 16) >> 5, 163838) . + + If this is larger than 32767, the procedure derives the chirp factor, + sc_Q16[0], to use in the bandwidth expansion as + + (maxabs_Q12 - 32767) << 14 + sc_Q16[0] = 65470 - -------------------------- , + (maxabs_Q12 * (k+1)) >> 2 + + where the division here is exact integer division. This is an + approximation of the chirp factor needed to reduce the target + coefficient to 32767, though it is both less than 0.999 and, for + k > 0 when maxabs_Q12 is much greater than 32767, still slightly too + + + +Valin, et al. Expires May 3, 2012 [Page 68] + +Internet-Draft Interactive Audio Codec October 2011 + + + large. + + silk_bwexpander_32() (bwexpander_32.c) performs the bandwidth + expansion (again, only when maxabs_Q12 is greater than 32767) using + the following recurrence: + + a32_Q17[k] = (a32_Q17[k]*sc_Q16[k]) >> 16 + + sc_Q16[k+1] = (sc_Q16[0]*sc_Q16[k] + 32768) >> 16 + + The first multiply may require up to 48 bits of precision in the + result to avoid overflow. The second multiply must be unsigned to + avoid overflow with only 32 bits of precision. The reference + implementation uses a slightly more complex formulation that avoids + the 32-bit overflow using signed multiplication, but is otherwise + equivalent. + + After 10 rounds of bandwidth expansion are performed, they are simply + saturated to 16 bits: + + a32_Q17[k] = clamp(-32768, (a32_Q17[k]+16) >> 5, 32767) << 5 . + + Because this performs the actual saturation in the Q12 domain, but + converts the coefficients back to the Q17 domain for the purposes of + prediction gain limiting, this step must be performed after the 10th + round of bandwidth expansion, regardless of whether or not the Q12 + version of any coefficient still overflows a 16-bit integer. This + saturation is not performed if maxabs_Q12 drops to 32767 or less + prior to the 10th round. + +4.2.7.5.8. Limiting the Prediction Gain of the LPC Filter + + The prediction gain of an LPC synthesis filter is the square-root of + the output energy when the filter is excited by a unit-energy + impulse. Even if the Q12 coefficients would fit, the resulting + filter may still have a significant gain (especially for voiced + sounds), making the filter unstable. silk_NLSF2A() applies up to 18 + additional rounds of bandwidth expansion to limit the prediction + gain. Instead of controlling the amount of bandwidth expansion using + the prediction gain itself (which may diverge to infinity for an + unstable filter), silk_NLSF2A() uses silk_LPC_inverse_pred_gain_QA() + (LPC_inv_pred_gain.c) to compute the reflection coefficients + associated with the filter. The filter is stable if and only if the + magnitude of these coefficients is sufficiently less than one. The + reflection coefficients, rc[k], can be computed using a simple + Levinson recurrence, initialized with the LPC coefficients a[d_LPC- + 1][n] = a[n], and then updated via + + + + +Valin, et al. Expires May 3, 2012 [Page 69] + +Internet-Draft Interactive Audio Codec October 2011 + + + rc[k] = -a[k][k] , + + a[k][n] - a[k][k-n-1]*rc[k] + a[k-1][n] = --------------------------- . + 2 + 1 - rc[k] + + However, silk_LPC_inverse_pred_gain_QA() approximates this using + fixed-point arithmetic to guarantee reproducible results across + platforms and implementations. Since small changes in the + coefficients can make a stable filter unstable, it takes the real Q12 + coefficients that will be used during reconstruction as input. Thus, + let + + a32_Q12[n] = (a32_Q17[n] + 16) >> 5 + + be the Q12 version of the LPC coefficients that will eventually be + used. As a simple initial check, the decoder computes the DC + response as + + d_PLC-1 + __ + DC_resp = \ a32_Q12[n] + /_ + n=0 + + and if DC_resp > 4096, the filter is unstable. + + Increasing the precision of these Q12 coefficients to Q24 for + intermediate computations allows more accurate computation of the + reflection coefficients, so the decoder initializes the recurrence + via + + a32_Q24[d_LPC-1][n] = a32_Q12[n] << 12 . + + Then for each k from d_LPC-1 down to 0, if + abs(a32_Q24[k][k]) > 16773022, the filter is unstable and the + recurrence stops. Otherwise, row k-1 of a32_Q24 is computed from row + k as + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 70] + +Internet-Draft Interactive Audio Codec October 2011 + + + rc_Q31[k] = -a32_Q24[k][k] << 7 , + + div_Q30[k] = (1<<30) - (rc_Q31[k]*rc_Q31[k] >> 32) , + + b1[k] = ilog(div_Q30[k]) , + + b2[k] = b1[k] - 16 , + + (1<<29) - 1 + inv_Qb2[k] = ----------------------- , + div_Q30[k] >> (b2[k]+1) + + err_Q29[k] = (1<<29) + - ((div_Q30[k]<<(15-b2[k]))*inv_Qb2[k] >> 16) , + + gain_Qb1[k] = ((inv_Qb2[k] << 16) + + (err_Q29[k]*inv_Qb2[k] >> 13)) , + + num_Q24[k-1][n] = a32_Q24[k][n] + - ((a32_Q24[k][k-n-1]*rc_Q31[k] + (1<<30)) >> 31) , + + a32_Q24[k-1][n] = (num_Q24[k-1][n]*gain_Qb1[k] + + (1<<(b1[k]-1))) >> b1[k] , + + where 0 <= n < k-1. Here, rc_Q30[k] are the reflection coefficients. + div_Q30[k] is the denominator for each iteration, and gain_Qb1[k] is + its multiplicative inverse (with b1[k] fractional bits, where b1[k] + ranges from 20 to 31). inv_Qb2[k], which ranges from 16384 to 32767, + is a low-precision version of that inverse (with b2[k] fractional + bits). err_Q29[k] is the residual error, ranging from -32763 to + 32392, which is used to improve the accuracy. The values + t_Q24[k-1][n] for each n are the numerators for the next row of + coefficients in the recursion, and a32_Q24[k-1][n] is the final + version of that row. Every multiply in this procedure except the one + used to compute gain_Qb1[k] requires more than 32 bits of precision, + but otherwise all intermediate results fit in 32 bits or less. In + practice, because each row only depends on the next one, an + implementation does not need to store them all. + + If abs(a32_Q24[k][k]) <= 16773022 for 0 <= k < d_LPC, then the filter + is considered stable. However, the problem of determining stability + is ill-conditioned when the filter contains several reflection + coefficients whose magnitude is very close to one. This fixed-point + algorithm is not mathematically guaranteed to correctly classify + filters as stable or unstable in this case, though it does very well + in practice. + + On round i, 1 <= i <= 18, if the filter passes these stability + + + +Valin, et al. Expires May 3, 2012 [Page 71] + +Internet-Draft Interactive Audio Codec October 2011 + + + checks, then this procedure stops, and the final LPC coefficients to + use for reconstruction in Section 4.2.7.9.2 are + + a_Q12[k] = (a32_Q17[k] + 16) >> 5 . + + Otherwise, a round of bandwidth expansion is applied using the same + procedure as in Section 4.2.7.5.7, with + + sc_Q16[0] = 65536 - i*(i+9) . + + If, after the 18th round, the filter still fails these stability + checks, then a_Q12[k] is set to 0 for all k. + +4.2.7.6. Long-Term Prediction (LTP) Parameters + + After the normalized LSF indices and, for 20 ms frames, the LSF + interpolation index, voiced frames (see Section 4.2.7.3) include + additional LTP parameters. There is one primary lag index for each + SILK frame, but this is refined to produce a separate lag index per + subframe using a vector quantizer. Each subframe also gets its own + prediction gain coefficient. + +4.2.7.6.1. Pitch Lags + + The primary lag index is coded either relative to the primary lag of + the prior frame in the same channel, or as an absolute index. + Absolute coding is used if and only if + + o This is the first SILK frame of its type (LBRR or regular) for + this channel in the current Opus frame, + + o The previous SILK frame of the same type (LBRR or regular) for + this channel in the same Opus frame was not coded, or + + o That previous SILK frame was coded, but was not voiced (see + Section 4.2.7.3). + + With absolute coding, the primary pitch lag may range from 2 ms + (inclusive) up to 18 ms (exclusive), corresponding to pitches from + 500 Hz down to 55.6 Hz, respectively. It is comprised of a high part + and a low part, where the decoder reads the high part using the 32- + entry codebook in Table 29 and the low part using the codebook + corresponding to the current audio bandwidth from Table 30. The + final primary pitch lag is then + + lag = lag_high*lag_scale + lag_low + lag_min + + where lag_high is the high part, lag_low is the low part, and + + + +Valin, et al. Expires May 3, 2012 [Page 72] + +Internet-Draft Interactive Audio Codec October 2011 + + + lag_scale and lag_min are the values from the "Scale" and "Minimum + Lag" columns of Table 30, respectively. + + +-------------------------------------------------------------------+ + | PDF | + +-------------------------------------------------------------------+ + | {3, 3, 6, 11, 21, 30, 32, 19, 11, 10, 12, 13, 13, 12, 11, 9, 8, | + | 7, 6, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1}/256 | + +-------------------------------------------------------------------+ + + Table 29: PDF for High Part of Primary Pitch Lag + + +------------+------------------------+-------+----------+----------+ + | Audio | PDF | Scale | Minimum | Maximum | + | Bandwidth | | | Lag | Lag | + +------------+------------------------+-------+----------+----------+ + | NB | {64, 64, 64, 64}/256 | 4 | 16 | 144 | + | | | | | | + | MB | {43, 42, 43, 43, 42, | 6 | 24 | 216 | + | | 43}/256 | | | | + | | | | | | + | WB | {32, 32, 32, 32, 32, | 8 | 32 | 288 | + | | 32, 32, 32}/256 | | | | + +------------+------------------------+-------+----------+----------+ + + Table 30: PDF for Low Part of Primary Pitch Lag + + All frames that do not use absolute coding for the primary lag index + use relative coding instead. The decoder reads a single delta value + using the 21-entry PDF in Table 31. If the resulting value is zero, + it falls back to the absolute coding procedure from the prior + paragraph. Otherwise, the final primary pitch lag is then + + lag = lag_prev + (delta_lag_index - 9) + + where lag_prev is the primary pitch lag from the most recent frame in + the same channel and delta_lag_index is the value just decoded. This + allows a per-frame change in the pitch lag of -8 to +11 samples. The + decoder does no clamping at this point, so this value can fall + outside the range of 2 ms to 18 ms, and the decoder must use this + unclamped value when using relative coding in the next SILK frame (if + any). However, because an Opus frame can use relative coding for at + most two consecutive SILK frames, integer overflow should not be an + issue. + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 73] + +Internet-Draft Interactive Audio Codec October 2011 + + + +-------------------------------------------------------------------+ + | PDF | + +-------------------------------------------------------------------+ + | {46, 2, 2, 3, 4, 6, 10, 15, 26, 38, 30, 22, 15, 10, 7, 6, 4, 4, | + | 2, 2, 2}/256 | + +-------------------------------------------------------------------+ + + Table 31: PDF for Primary Pitch Lag Change + + After the primary pitch lag, a "pitch contour", stored as a single + entry from one of four small VQ codebooks, gives lag offsets for each + subframe in the current SILK frame. The codebook index is decoded + using one of the PDFs in Table 32 depending on the current frame size + and audio bandwidth. Tables 33 through 36 give the corresponding + offsets to apply to the primary pitch lag for each subframe given the + decoded codebook index. + + +-----------+--------+----------+-----------------------------------+ + | Audio | SILK | Codebook | PDF | + | Bandwidth | Frame | Size | | + | | Size | | | + +-----------+--------+----------+-----------------------------------+ + | NB | 10 ms | 3 | {143, 50, 63}/256 | + | | | | | + | NB | 20 ms | 11 | {68, 12, 21, 17, 19, 22, 30, 24, | + | | | | 17, 16, 10}/256 | + | | | | | + | MB or WB | 10 ms | 12 | {91, 46, 39, 19, 14, 12, 8, 7, 6, | + | | | | 5, 5, 4}/256 | + | | | | | + | MB or WB | 20 ms | 34 | {33, 22, 18, 16, 15, 14, 14, 13, | + | | | | 13, 10, 9, 9, 8, 6, 6, 6, 5, 4, | + | | | | 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, | + | | | | 2, 1, 1, 1, 1}/256 | + +-----------+--------+----------+-----------------------------------+ + + Table 32: PDFs for Subframe Pitch Contour + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 74] + +Internet-Draft Interactive Audio Codec October 2011 + + + +-------+------------------+ + | Index | Subframe Offsets | + +-------+------------------+ + | 0 | 0 0 | + | | | + | 1 | 1 0 | + | | | + | 2 | 0 1 | + +-------+------------------+ + + Table 33: Codebook Vectors for Subframe Pitch Contour: NB, 10 ms + Frames + + +-------+------------------+ + | Index | Subframe Offsets | + +-------+------------------+ + | 0 | 0 0 0 0 | + | | | + | 1 | 2 1 0 -1 | + | | | + | 2 | -1 0 1 2 | + | | | + | 3 | -1 0 0 1 | + | | | + | 4 | -1 0 0 0 | + | | | + | 5 | 0 0 0 1 | + | | | + | 6 | 0 0 1 1 | + | | | + | 7 | 1 1 0 0 | + | | | + | 8 | 1 0 0 0 | + | | | + | 9 | 0 0 0 -1 | + | | | + | 10 | 1 0 0 -1 | + +-------+------------------+ + + Table 34: Codebook Vectors for Subframe Pitch Contour: NB, 20 ms + Frames + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 75] + +Internet-Draft Interactive Audio Codec October 2011 + + + +-------+------------------+ + | Index | Subframe Offsets | + +-------+------------------+ + | 0 | 0 0 | + | | | + | 1 | 0 1 | + | | | + | 2 | 1 0 | + | | | + | 3 | -1 1 | + | | | + | 4 | 1 -1 | + | | | + | 5 | -1 2 | + | | | + | 6 | 2 -1 | + | | | + | 7 | -2 2 | + | | | + | 8 | 2 -2 | + | | | + | 9 | -2 3 | + | | | + | 10 | 3 -2 | + | | | + | 11 | -3 3 | + +-------+------------------+ + + Table 35: Codebook Vectors for Subframe Pitch Contour: MB or WB, + 10 ms Frames + + +-------+------------------+ + | Index | Subframe Offsets | + +-------+------------------+ + | 0 | 0 0 0 0 | + | | | + | 1 | 0 0 1 1 | + | | | + | 2 | 1 1 0 0 | + | | | + | 3 | -1 0 0 0 | + | | | + | 4 | 0 0 0 1 | + | | | + | 5 | 1 0 0 0 | + | | | + | 6 | -1 0 0 1 | + | | | + + + +Valin, et al. Expires May 3, 2012 [Page 76] + +Internet-Draft Interactive Audio Codec October 2011 + + + | 7 | 0 0 0 -1 | + | | | + | 8 | -1 0 1 2 | + | | | + | 9 | 1 0 0 -1 | + | | | + | 10 | -2 -1 1 2 | + | | | + | 11 | 2 1 0 -1 | + | | | + | 12 | -2 0 0 2 | + | | | + | 13 | -2 0 1 3 | + | | | + | 14 | 2 1 -1 -2 | + | | | + | 15 | -3 -1 1 3 | + | | | + | 16 | 2 0 0 -2 | + | | | + | 17 | 3 1 0 -2 | + | | | + | 18 | -3 -1 2 4 | + | | | + | 19 | -4 -1 1 4 | + | | | + | 20 | 3 1 -1 -3 | + | | | + | 21 | -4 -1 2 5 | + | | | + | 22 | 4 2 -1 -3 | + | | | + | 23 | 4 1 -1 -4 | + | | | + | 24 | -5 -1 2 6 | + | | | + | 25 | 5 2 -1 -4 | + | | | + | 26 | -6 -2 2 6 | + | | | + | 27 | -5 -2 2 5 | + | | | + | 28 | 6 2 -1 -5 | + | | | + | 29 | -7 -2 3 8 | + | | | + | 30 | 6 2 -2 -6 | + | | | + + + +Valin, et al. Expires May 3, 2012 [Page 77] + +Internet-Draft Interactive Audio Codec October 2011 + + + | 31 | 5 2 -2 -5 | + | | | + | 32 | 8 3 -2 -7 | + | | | + | 33 | -9 -3 3 9 | + +-------+------------------+ + + Table 36: Codebook Vectors for Subframe Pitch Contour: MB or WB, + 20 ms Frames + + The final pitch lag for each subframe is assembled in + silk_decode_pitch() (decode_pitch.c). Let lag be the primary pitch + lag for the current SILK frame, contour_index be index of the VQ + codebook, and lag_cb[contour_index][k] be the corresponding entry of + the codebook from the appropriate table given above for the k'th + subframe. Then the final pitch lag for that subframe is + + pitch_lags[k] = clamp(lag_min, lag + lag_cb[contour_index][k], + lag_max) + + where lag_min and lag_max are the values from the "Minimum Lag" and + "Maximum Lag" columns of Table 30, respectively. + +4.2.7.6.2. LTP Filter Coefficients + + SILK uses a separate 5-tap pitch filter for each subframe, selected + from one of three codebooks. The three codebooks each represent + different rate-distortion trade-offs, with average rates of + 1.61 bits/subframe, 3.68 bits/subframe, and 4.85 bits/subframe, + respectively. + + The importance of the filter coefficients generally depends on two + factors: the periodicity of the signal and relative energy between + the current subframe and the signal from one period earlier. Greater + periodicity and decaying energy both lead to more important filter + coefficients, and thus should be coded with lower distortion and + higher rate. These properties are relatively stable over the + duration of a single SILK frame, hence all of the subframes in a SILK + frame choose their filter from the same codebook. This is signaled + with an explicitly-coded "periodicity index". This immediately + follows the subframe pitch lags, and is coded using the 3-entry PDF + from Table 37. + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 78] + +Internet-Draft Interactive Audio Codec October 2011 + + + +------------------+ + | PDF | + +------------------+ + | {77, 80, 99}/256 | + +------------------+ + + Table 37: Periodicity Index PDF + + The indices of the filters for each subframe follow. They are all + coded using the PDF from Table 38 corresponding to the periodicity + index. Tables 39 through 41 contain the corresponding filter taps as + signed Q7 integers. + + +-------------+----------+------------------------------------------+ + | Periodicity | Codebook | PDF | + | Index | Size | | + +-------------+----------+------------------------------------------+ + | 0 | 8 | {185, 15, 13, 13, 9, 9, 6, 6}/256 | + | | | | + | 1 | 16 | {57, 34, 21, 20, 15, 13, 12, 13, 10, 10, | + | | | 9, 10, 9, 8, 7, 8}/256 | + | | | | + | 2 | 32 | {15, 16, 14, 12, 12, 12, 11, 11, 11, 10, | + | | | 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 6, 6, 5, | + | | | 4, 5, 4, 4, 4, 3, 4, 3, 2}/256 | + +-------------+----------+------------------------------------------+ + + Table 38: LTP Filter PDFs + + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 79] + +Internet-Draft Interactive Audio Codec October 2011 + + + +-------+---------------------+ + | Index | Filter Taps (Q7) | + +-------+---------------------+ + | 0 | 4 6 24 7 5 | + | | | + | 1 | 0 0 2 0 0 | + | | | + | 2 | 12 28 41 13 -4 | + | | | + | 3 | -9 15 42 25 14 | + | | | + | 4 | 1 -2 62 41 -9 | + | | | + | 5 | -10 37 65 -4 3 | + | | | + | 6 | -6 4 66 7 -8 | + | | | + | 7 | 16 14 38 -3 33 | + +-------+---------------------+ + + Table 39: Codebook Vectors for LTP Filter, Periodicity Index 0 + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 80] + +Internet-Draft Interactive Audio Codec October 2011 + + + +-------+---------------------+ + | Index | Filter Taps (Q7) | + +-------+---------------------+ + | 0 | 13 22 39 23 12 | + | | | + | 1 | -1 36 64 27 -6 | + | | | + | 2 | -7 10 55 43 17 | + | | | + | 3 | 1 1 8 1 1 | + | | | + | 4 | 6 -11 74 53 -9 | + | | | + | 5 | -12 55 76 -12 8 | + | | | + | 6 | -3 3 93 27 -4 | + | | | + | 7 | 26 39 59 3 -8 | + | | | + | 8 | 2 0 77 11 9 | + | | | + | 9 | -8 22 44 -6 7 | + | | | + | 10 | 40 9 26 3 9 | + | | | + | 11 | -7 20 101 -7 4 | + | | | + | 12 | 3 -8 42 26 0 | + | | | + | 13 | -15 33 68 2 23 | + | | | + | 14 | -2 55 46 -2 15 | + | | | + | 15 | 3 -1 21 16 41 | + +-------+---------------------+ + + Table 40: Codebook Vectors for LTP Filter, Periodicity Index 1 + + +-------+---------------------+ + | Index | Filter Taps (Q7) | + +-------+---------------------+ + | 0 | -6 27 61 39 5 | + | | | + | 1 | -11 42 88 4 1 | + | | | + | 2 | -2 60 65 6 -4 | + | | | + | 3 | -1 -5 73 56 1 | + + + +Valin, et al. Expires May 3, 2012 [Page 81] + +Internet-Draft Interactive Audio Codec October 2011 + + + | 4 | -9 19 94 29 -9 | + | | | + | 5 | 0 12 99 6 4 | + | | | + | 6 | 8 -19 102 46 -13 | + | | | + | 7 | 3 2 13 3 2 | + | | | + | 8 | 9 -21 84 72 -18 | + | | | + | 9 | -11 46 104 -22 8 | + | | | + | 10 | 18 38 48 23 0 | + | | | + | 11 | -16 70 83 -21 11 | + | | | + | 12 | 5 -11 117 22 -8 | + | | | + | 13 | -6 23 117 -12 3 | + | | | + | 14 | 3 -8 95 28 4 | + | | | + | 15 | -10 15 77 60 -15 | + | | | + | 16 | -1 4 124 2 -4 | + | | | + | 17 | 3 38 84 24 -25 | + | | | + | 18 | 2 13 42 13 31 | + | | | + | 19 | 21 -4 56 46 -1 | + | | | + | 20 | -1 35 79 -13 19 | + | | | + | 21 | -7 65 88 -9 -14 | + | | | + | 22 | 20 4 81 49 -29 | + | | | + | 23 | 20 0 75 3 -17 | + | | | + | 24 | 5 -9 44 92 -8 | + | | | + | 25 | 1 -3 22 69 31 | + | | | + | 26 | -6 95 41 -12 5 | + | | | + | 27 | 39 67 16 -4 1 | + | | | + + + +Valin, et al. Expires May 3, 2012 [Page 82] + +Internet-Draft Interactive Audio Codec October 2011 + + + | 28 | 0 -6 120 55 -36 | + | | | + | 29 | -13 44 122 4 -24 | + | | | + | 30 | 81 5 11 3 7 | + | | | + | 31 | 2 0 9 10 88 | + +-------+---------------------+ + + Table 41: Codebook Vectors for LTP Filter, Periodicity Index 2 + +4.2.7.6.3. LTP Scaling Parameter + + An LTP scaling parameter appears after the LTP filter coefficients if + and only if + + o This is a voiced frame (see Section 4.2.7.3), and + + o Either + + * This SILK frame corresponds to the first time interval of the + current Opus frame for its type (LBRR or regular), or + + * This is an LBRR frame where the LBRR flags (see Section 4.2.4) + indicate the previous LBRR frame in the same channel is not + coded. + + This allows the encoder to trade off the prediction gain between + packets against the recovery time after packet loss. Unlike + absolute-coding for pitch lags, regular SILK frames that are not at + the start of an Opus frame (i.e., that do not correspond to the first + 20 ms time interval in Opus frames of 40 or 60 ms) do not include + this field, even if the prior frame was not voiced, or (in the case + of the side channel) not even coded. After an uncoded frame in the + side channel, the LTP buffer (see Section 4.2.7.9.1) is cleared to + zero, and is thus in a known state. In contrast, LBRR frames do + include this field when the prior frame was not coded, since the LTP + buffer contains the output of the PLC, which is non-normative. + + If present, the decoder reads a value using the 3-entry PDF in + Table 42. The three possible values represent Q14 scale factors of + 15565, 12288, and 8192, respectively (corresponding to approximately + 0.95, 0.75, and 0.5). Frames that do not code the scaling parameter + use the default factor of 15565 (approximately 0.95). + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 83] + +Internet-Draft Interactive Audio Codec October 2011 + + + +-------------------+ + | PDF | + +-------------------+ + | {128, 64, 64}/256 | + +-------------------+ + + Table 42: PDF for LTP Scaling Parameter + +4.2.7.7. Linear Congruential Generator (LCG) Seed + + As described in Section 4.2.7.8.6, SILK uses a linear congruential + generator (LCG) to inject pseudorandom noise into the quantized + excitation To ensure synchronization of this process between the + encoder and decoder, each SILK frame stores a 2-bit seed after the + LTP parameters (if any). The encoder may consider the choice of seed + during quantization, and the flexibility of this choice lets it + reduce distortion, helping to pay for the bit cost required to signal + it. The decoder reads the seed using the uniform 4-entry PDF in + Table 43, yielding a value between 0 and 3, inclusive. + + +----------------------+ + | PDF | + +----------------------+ + | {64, 64, 64, 64}/256 | + +----------------------+ + + Table 43: PDF for LCG Seed + +4.2.7.8. Excitation + + SILK codes the excitation using a modified version of the Pyramid + Vector Quantization (PVQ) codebook [PVQ]. The PVQ codebook is + designed for Laplace-distributed values and consists of all sums of K + signed, unit pulses in a vector of dimension N, where two pulses at + the same position are required to have the same sign. Thus the + codebook includes all integer codevectors y of dimension N that + satisfy + + N-1 + __ + \ abs(y[j]) = K . + /_ + j=0 + + Unlike regular PVQ, SILK uses a variable-length, rather than fixed- + length, encoding. This encoding is better suited to the more + Gaussian-like distribution of the coefficient magnitudes and the non- + uniform distribution of their signs (caused by the quantization + + + +Valin, et al. Expires May 3, 2012 [Page 84] + +Internet-Draft Interactive Audio Codec October 2011 + + + offset described below). SILK also handles large codebooks by coding + the least significant bits (LSBs) of each coefficient directly. This + adds a small coding efficiency loss, but greatly reduces the + computation time and ROM size required for decoding, as implemented + in silk_decode_pulses() (decode_pulses.c). + + SILK fixes the dimension of the codebook to N = 16. The excitation + is made up of a number of "shell blocks", each 16 samples in size. + Table 44 lists the number of shell blocks required for a SILK frame + for each possible audio bandwidth and frame size. 10 ms MB frames + nominally contain 120 samples (10 ms at 12 kHz), which is not a + multiple of 16. This is handled by coding 8 shell blocks (128 + samples) and discarding the final 8 samples of the last block. The + decoder contains no special case that prevents an encoder from + placing pulses in these samples, and they must be correctly parsed + from the bitstream if present, but they are otherwise ignored. + + +-----------------+------------+------------------------+ + | Audio Bandwidth | Frame Size | Number of Shell Blocks | + +-----------------+------------+------------------------+ + | NB | 10 ms | 5 | + | | | | + | MB | 10 ms | 8 | + | | | | + | WB | 10 ms | 10 | + | | | | + | NB | 20 ms | 10 | + | | | | + | MB | 20 ms | 15 | + | | | | + | WB | 20 ms | 20 | + +-----------------+------------+------------------------+ + + Table 44: Number of Shell Blocks Per SILK Frame + +4.2.7.8.1. Rate Level + + The first symbol in the excitation is a "rate level", which is an + index from 0 to 8, inclusive, coded using the PDF in Table 45 + corresponding to the signal type of the current frame (from + Section 4.2.7.3). The rate level selects the PDF used to decode the + number of pulses in the individual shell blocks. It does not + directly convey any information about the bitrate or the number of + pulses itself, but merely changes the probability of the symbols in + Section 4.2.7.8.2. Level 0 provides a more efficient encoding at low + rates generally, and level 8 provides a more efficient encoding at + high rates generally, though the most efficient level for a + particular SILK frame may depend on the exact distribution of the + + + +Valin, et al. Expires May 3, 2012 [Page 85] + +Internet-Draft Interactive Audio Codec October 2011 + + + coded symbols. An encoder should, but is not required to, use the + most efficient rate level. + + +----------------------+------------------------------------------+ + | Signal Type | PDF | + +----------------------+------------------------------------------+ + | Inactive or Unvoiced | {15, 51, 12, 46, 45, 13, 33, 27, 14}/256 | + | | | + | Voiced | {33, 30, 36, 17, 34, 49, 18, 21, 18}/256 | + +----------------------+------------------------------------------+ + + Table 45: PDFs for the Rate Level + +4.2.7.8.2. Pulses Per Shell Block + + The total number of pulses in each of the shell blocks follows the + rate level. The pulse counts for all of the shell blocks are coded + consecutively, before the content of any of the blocks. Each block + may have anywhere from 0 to 16 pulses, inclusive, coded using the 18- + entry PDF in Table 46 corresponding to the rate level from + Section 4.2.7.8.1. The special value 17 indicates that this block + has one or more additional LSBs to decode for each coefficient. If + the decoder encounters this value, it decodes another value for the + actual pulse count of the block, but uses the PDF corresponding to + the special rate level 9 instead of the normal rate level. This + process repeats until the decoder reads a value less than 17, and it + then sets the number of extra LSBs used to the number of 17's decoded + for that block. If it reads the value 17 ten times, then the next + iteration uses the special rate level 10 instead of 9. The + probability of decoding a 17 when using the PDF for rate level 10 is + zero, ensuring that the number of LSBs for a block will not exceed + 10. The cumulative distribution for rate level 10 is just a shifted + version of that for 9 and thus does not require any additional + storage. + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 86] + +Internet-Draft Interactive Audio Codec October 2011 + + + +----------+--------------------------------------------------------+ + | Rate | PDF | + | Level | | + +----------+--------------------------------------------------------+ + | 0 | {131, 74, 25, 8, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, | + | | 1, 1}/256 | + | | | + | 1 | {58, 93, 60, 23, 7, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, | + | | 1, 1}/256 | + | | | + | 2 | {43, 51, 46, 33, 24, 16, 11, 8, 6, 3, 3, 3, 2, 1, 1, | + | | 2, 1, 2}/256 | + | | | + | 3 | {17, 52, 71, 57, 31, 12, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, | + | | 1, 1}/256 | + | | | + | 4 | {6, 21, 41, 53, 49, 35, 21, 11, 6, 3, 2, 2, 1, 1, 1, | + | | 1, 1, 1}/256 | + | | | + | 5 | {7, 14, 22, 28, 29, 28, 25, 20, 17, 13, 11, 9, 7, 5, | + | | 4, 4, 3, 10}/256 | + | | | + | 6 | {2, 5, 14, 29, 42, 46, 41, 31, 19, 11, 6, 3, 2, 1, 1, | + | | 1, 1, 1}/256 | + | | | + | 7 | {1, 2, 4, 10, 19, 29, 35, 37, 34, 28, 20, 14, 8, 5, 4, | + | | 2, 2, 2}/256 | + | | | + | 8 | {1, 2, 2, 5, 9, 14, 20, 24, 27, 28, 26, 23, 20, 15, | + | | 11, 8, 6, 15}/256 | + | | | + | 9 | {1, 1, 1, 6, 27, 58, 56, 39, 25, 14, 10, 6, 3, 3, 2, | + | | 1, 1, 2}/256 | + | | | + | 10 | {2, 1, 6, 27, 58, 56, 39, 25, 14, 10, 6, 3, 3, 2, 1, | + | | 1, 2, 0}/256 | + +----------+--------------------------------------------------------+ + + Table 46: PDFs for the Pulse Count + +4.2.7.8.3. Pulse Location Decoding + + The locations of the pulses in each shell block follow the pulse + counts, as decoded by silk_shell_decoder() (shell_coder.c). As with + the pulse counts, these locations are coded for all the shell blocks + before any of the remaining information for each block. Unlike many + other codecs, SILK places no restriction on the distribution of + pulses within a shell block. All of the pulses may be placed in a + + + +Valin, et al. Expires May 3, 2012 [Page 87] + +Internet-Draft Interactive Audio Codec October 2011 + + + single location, or each one in a unique location, or anything in + between. + + The location of pulses is coded by recursively partitioning each + block into halves, and coding how many pulses fall on the left side + of the split. All remaining pulses must fall on the right side of + the split. The process then recurses into the left half, and after + that returns, the right half (preorder traversal). The PDF to use is + chosen by the size of the current partition (16, 8, 4, or 2) and the + number of pulses in the partition (1 to 16, inclusive). Tables 47 + through 50 list the PDFs used for each partition size and pulse + count. This process skips partitions without any pulses, i.e., where + the initial pulse count from Section 4.2.7.8.2 was zero, or where the + split in the prior level indicated that all of the pulses fell on the + other side. These partitions have nothing to code, so they require + no PDF. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 88] + +Internet-Draft Interactive Audio Codec October 2011 + + + +------------+------------------------------------------------------+ + | Pulse | PDF | + | Count | | + +------------+------------------------------------------------------+ + | 1 | {126, 130}/256 | + | | | + | 2 | {56, 142, 58}/256 | + | | | + | 3 | {25, 101, 104, 26}/256 | + | | | + | 4 | {12, 60, 108, 64, 12}/256 | + | | | + | 5 | {7, 35, 84, 87, 37, 6}/256 | + | | | + | 6 | {4, 20, 59, 86, 63, 21, 3}/256 | + | | | + | 7 | {3, 12, 38, 72, 75, 42, 12, 2}/256 | + | | | + | 8 | {2, 8, 25, 54, 73, 59, 27, 7, 1}/256 | + | | | + | 9 | {2, 5, 17, 39, 63, 65, 42, 18, 4, 1}/256 | + | | | + | 10 | {1, 4, 12, 28, 49, 63, 54, 30, 11, 3, 1}/256 | + | | | + | 11 | {1, 4, 8, 20, 37, 55, 57, 41, 22, 8, 2, 1}/256 | + | | | + | 12 | {1, 3, 7, 15, 28, 44, 53, 48, 33, 16, 6, 1, 1}/256 | + | | | + | 13 | {1, 2, 6, 12, 21, 35, 47, 48, 40, 25, 12, 5, 1, | + | | 1}/256 | + | | | + | 14 | {1, 1, 4, 10, 17, 27, 37, 47, 43, 33, 21, 9, 4, 1, | + | | 1}/256 | + | | | + | 15 | {1, 1, 1, 8, 14, 22, 33, 40, 43, 38, 28, 16, 8, 1, | + | | 1, 1}/256 | + | | | + | 16 | {1, 1, 1, 1, 13, 18, 27, 36, 41, 41, 34, 24, 14, 1, | + | | 1, 1, 1}/256 | + +------------+------------------------------------------------------+ + + Table 47: PDFs for Pulse Count Split, 16 Sample Partitions + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 89] + +Internet-Draft Interactive Audio Codec October 2011 + + + +------------+------------------------------------------------------+ + | Pulse | PDF | + | Count | | + +------------+------------------------------------------------------+ + | 1 | {127, 129}/256 | + | | | + | 2 | {53, 149, 54}/256 | + | | | + | 3 | {22, 105, 106, 23}/256 | + | | | + | 4 | {11, 61, 111, 63, 10}/256 | + | | | + | 5 | {6, 35, 86, 88, 36, 5}/256 | + | | | + | 6 | {4, 20, 59, 87, 62, 21, 3}/256 | + | | | + | 7 | {3, 13, 40, 71, 73, 41, 13, 2}/256 | + | | | + | 8 | {3, 9, 27, 53, 70, 56, 28, 9, 1}/256 | + | | | + | 9 | {3, 8, 19, 37, 57, 61, 44, 20, 6, 1}/256 | + | | | + | 10 | {3, 7, 15, 28, 44, 54, 49, 33, 17, 5, 1}/256 | + | | | + | 11 | {1, 7, 13, 22, 34, 46, 48, 38, 28, 14, 4, 1}/256 | + | | | + | 12 | {1, 1, 11, 22, 27, 35, 42, 47, 33, 25, 10, 1, 1}/256 | + | | | + | 13 | {1, 1, 6, 14, 26, 37, 43, 43, 37, 26, 14, 6, 1, | + | | 1}/256 | + | | | + | 14 | {1, 1, 4, 10, 20, 31, 40, 42, 40, 31, 20, 10, 4, 1, | + | | 1}/256 | + | | | + | 15 | {1, 1, 3, 8, 16, 26, 35, 38, 38, 35, 26, 16, 8, 3, | + | | 1, 1}/256 | + | | | + | 16 | {1, 1, 2, 6, 12, 21, 30, 36, 38, 36, 30, 21, 12, 6, | + | | 2, 1, 1}/256 | + +------------+------------------------------------------------------+ + + Table 48: PDFs for Pulse Count Split, 8 Sample Partitions + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 90] + +Internet-Draft Interactive Audio Codec October 2011 + + + +------------+------------------------------------------------------+ + | Pulse | PDF | + | Count | | + +------------+------------------------------------------------------+ + | 1 | {127, 129}/256 | + | | | + | 2 | {49, 157, 50}/256 | + | | | + | 3 | {20, 107, 109, 20}/256 | + | | | + | 4 | {11, 60, 113, 62, 10}/256 | + | | | + | 5 | {7, 36, 84, 87, 36, 6}/256 | + | | | + | 6 | {6, 24, 57, 82, 60, 23, 4}/256 | + | | | + | 7 | {5, 18, 39, 64, 68, 42, 16, 4}/256 | + | | | + | 8 | {6, 14, 29, 47, 61, 52, 30, 14, 3}/256 | + | | | + | 9 | {1, 15, 23, 35, 51, 50, 40, 30, 10, 1}/256 | + | | | + | 10 | {1, 1, 21, 32, 42, 52, 46, 41, 18, 1, 1}/256 | + | | | + | 11 | {1, 6, 16, 27, 36, 42, 42, 36, 27, 16, 6, 1}/256 | + | | | + | 12 | {1, 5, 12, 21, 31, 38, 40, 38, 31, 21, 12, 5, 1}/256 | + | | | + | 13 | {1, 3, 9, 17, 26, 34, 38, 38, 34, 26, 17, 9, 3, | + | | 1}/256 | + | | | + | 14 | {1, 3, 7, 14, 22, 29, 34, 36, 34, 29, 22, 14, 7, 3, | + | | 1}/256 | + | | | + | 15 | {1, 2, 5, 11, 18, 25, 31, 35, 35, 31, 25, 18, 11, 5, | + | | 2, 1}/256 | + | | | + | 16 | {1, 1, 4, 9, 15, 21, 28, 32, 34, 32, 28, 21, 15, 9, | + | | 4, 1, 1}/256 | + +------------+------------------------------------------------------+ + + Table 49: PDFs for Pulse Count Split, 4 Sample Partitions + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 91] + +Internet-Draft Interactive Audio Codec October 2011 + + + +------------+------------------------------------------------------+ + | Pulse | PDF | + | Count | | + +------------+------------------------------------------------------+ + | 1 | {128, 128}/256 | + | | | + | 2 | {42, 172, 42}/256 | + | | | + | 3 | {21, 107, 107, 21}/256 | + | | | + | 4 | {12, 60, 112, 61, 11}/256 | + | | | + | 5 | {8, 34, 86, 86, 35, 7}/256 | + | | | + | 6 | {8, 23, 55, 90, 55, 20, 5}/256 | + | | | + | 7 | {5, 15, 38, 72, 72, 36, 15, 3}/256 | + | | | + | 8 | {6, 12, 27, 52, 77, 47, 20, 10, 5}/256 | + | | | + | 9 | {6, 19, 28, 35, 40, 40, 35, 28, 19, 6}/256 | + | | | + | 10 | {4, 14, 22, 31, 37, 40, 37, 31, 22, 14, 4}/256 | + | | | + | 11 | {3, 10, 18, 26, 33, 38, 38, 33, 26, 18, 10, 3}/256 | + | | | + | 12 | {2, 8, 13, 21, 29, 36, 38, 36, 29, 21, 13, 8, 2}/256 | + | | | + | 13 | {1, 5, 10, 17, 25, 32, 38, 38, 32, 25, 17, 10, 5, | + | | 1}/256 | + | | | + | 14 | {1, 4, 7, 13, 21, 29, 35, 36, 35, 29, 21, 13, 7, 4, | + | | 1}/256 | + | | | + | 15 | {1, 2, 5, 10, 17, 25, 32, 36, 36, 32, 25, 17, 10, 5, | + | | 2, 1}/256 | + | | | + | 16 | {1, 2, 4, 7, 13, 21, 28, 34, 36, 34, 28, 21, 13, 7, | + | | 4, 2, 1}/256 | + +------------+------------------------------------------------------+ + + Table 50: PDFs for Pulse Count Split, 2 Sample Partitions + +4.2.7.8.4. LSB Decoding + + After the decoder reads the pulse locations for all blocks, it reads + the LSBs (if any) for each block in turn. Inside each block, it + reads all the LSBs for each coefficient in turn, even those where no + + + +Valin, et al. Expires May 3, 2012 [Page 92] + +Internet-Draft Interactive Audio Codec October 2011 + + + pulses were allocated, before proceeding to the next one. They are + coded from most significant to least significant, and they all use + the PDF in Table 51. + + +----------------+ + | PDF | + +----------------+ + | {136, 120}/256 | + +----------------+ + + Table 51: PDF for Excitation LSBs + + The number of LSBs read for each coefficient in a block is determined + in Section 4.2.7.8.2. The magnitude of the coefficient is initially + equal to the number of pulses placed at that location in + Section 4.2.7.8.3. As each LSB is decoded, the magnitude is doubled, + and then the value of the LSB added to it, to obtain an updated + magnitude. + +4.2.7.8.5. Sign Decoding + + After decoding the pulse locations and the LSBs, the decoder knows + the magnitude of each coefficient in the excitation. It then decodes + a sign for all coefficients with a non-zero magnitude, using one of + the PDFs from Table 52. If the value decoded is 0, then the + coefficient magnitude is negated. Otherwise, it remains positive. + + The decoder chooses the PDF for the sign based on the signal type and + quantization offset type (from Section 4.2.7.3) and the number of + pulses in the block (from Section 4.2.7.8.2). The number of pulses + in the block does not take into account any LSBs. Most PDFs are + skewed towards negative signs because of the quantizaton offset, but + the PDFs for zero pulses are highly skewed towards positive signs. + If a block contains many positive coefficients, it is sometimes + beneficial to code it solely using LSBs (i.e., with zero pulses), + since the encoder may be able to save enough bits on the signs to + justify the less efficient coefficient magnitude encoding. + + +-------------+-----------------------+-------------+---------------+ + | Signal Type | Quantization Offset | Pulse Count | PDF | + | | Type | | | + +-------------+-----------------------+-------------+---------------+ + | Inactive | Low | 0 | {2, 254}/256 | + | | | | | + | Inactive | Low | 1 | {207, 49}/256 | + | | | | | + | Inactive | Low | 2 | {189, 67}/256 | + | | | | | + + + +Valin, et al. Expires May 3, 2012 [Page 93] + +Internet-Draft Interactive Audio Codec October 2011 + + + | Inactive | Low | 3 | {179, 77}/256 | + | | | | | + | Inactive | Low | 4 | {174, 82}/256 | + | | | | | + | Inactive | Low | 5 | {163, 93}/256 | + | | | | | + | Inactive | Low | 6 or more | {157, 99}/256 | + | | | | | + | Inactive | High | 0 | {58, 198}/256 | + | | | | | + | Inactive | High | 1 | {245, 11}/256 | + | | | | | + | Inactive | High | 2 | {238, 18}/256 | + | | | | | + | Inactive | High | 3 | {232, 24}/256 | + | | | | | + | Inactive | High | 4 | {225, 31}/256 | + | | | | | + | Inactive | High | 5 | {220, 36}/256 | + | | | | | + | Inactive | High | 6 or more | {211, 45}/256 | + | | | | | + | Unvoiced | Low | 0 | {1, 255}/256 | + | | | | | + | Unvoiced | Low | 1 | {210, 46}/256 | + | | | | | + | Unvoiced | Low | 2 | {190, 66}/256 | + | | | | | + | Unvoiced | Low | 3 | {178, 78}/256 | + | | | | | + | Unvoiced | Low | 4 | {169, 87}/256 | + | | | | | + | Unvoiced | Low | 5 | {162, 94}/256 | + | | | | | + | Unvoiced | Low | 6 or more | {152, | + | | | | 104}/256 | + | | | | | + | Unvoiced | High | 0 | {48, 208}/256 | + | | | | | + | Unvoiced | High | 1 | {242, 14}/256 | + | | | | | + | Unvoiced | High | 2 | {235, 21}/256 | + | | | | | + | Unvoiced | High | 3 | {224, 32}/256 | + | | | | | + | Unvoiced | High | 4 | {214, 42}/256 | + | | | | | + | Unvoiced | High | 5 | {205, 51}/256 | + + + +Valin, et al. Expires May 3, 2012 [Page 94] + +Internet-Draft Interactive Audio Codec October 2011 + + + | Unvoiced | High | 6 or more | {190, 66}/256 | + | | | | | + | Voiced | Low | 0 | {1, 255}/256 | + | | | | | + | Voiced | Low | 1 | {162, 94}/256 | + | | | | | + | Voiced | Low | 2 | {152, | + | | | | 104}/256 | + | | | | | + | Voiced | Low | 3 | {147, | + | | | | 109}/256 | + | | | | | + | Voiced | Low | 4 | {144, | + | | | | 112}/256 | + | | | | | + | Voiced | Low | 5 | {141, | + | | | | 115}/256 | + | | | | | + | Voiced | Low | 6 or more | {138, | + | | | | 118}/256 | + | | | | | + | Voiced | High | 0 | {8, 248}/256 | + | | | | | + | Voiced | High | 1 | {203, 53}/256 | + | | | | | + | Voiced | High | 2 | {187, 69}/256 | + | | | | | + | Voiced | High | 3 | {176, 80}/256 | + | | | | | + | Voiced | High | 4 | {168, 88}/256 | + | | | | | + | Voiced | High | 5 | {161, 95}/256 | + | | | | | + | Voiced | High | 6 or more | {154, | + | | | | 102}/256 | + +-------------+-----------------------+-------------+---------------+ + + Table 52: PDFs for Excitation Signs + +4.2.7.8.6. Reconstructing the Excitation + + After the signs have been read, there is enough information to + reconstruct the complete excitation signal. This requires adding a + constant quantization offset to each non-zero sample, and then + pseudorandomly inverting and offsetting every sample. The constant + quantization offset varies depending on the signal type and + quantization offset type (see Section 4.2.7.3). + + + + +Valin, et al. Expires May 3, 2012 [Page 95] + +Internet-Draft Interactive Audio Codec October 2011 + + + +-------------+--------------------------+--------------------------+ + | Signal Type | Quantization Offset Type | Quantization Offset | + | | | (Q25) | + +-------------+--------------------------+--------------------------+ + | Inactive | Low | 100 | + | | | | + | Inactive | High | 240 | + | | | | + | Unvoiced | Low | 100 | + | | | | + | Unvoiced | High | 240 | + | | | | + | Voiced | Low | 32 | + | | | | + | Voiced | High | 100 | + +-------------+--------------------------+--------------------------+ + + Table 53: Excitation Quantization Offsets + + Let e_raw[i] be the raw excitation value at position i, with a + magnitude composed of the pulses at that location (see + Section 4.2.7.8.3) combined with any additional LSBs (see + Section 4.2.7.8.4), and with the corresponding sign decoded in + Section 4.2.7.8.5. Additionally, let seed be the current + pseudorandom seed, which is initialized to the value decoded from + Section 4.2.7.7 for the first sample in the current SILK frame, and + updated for each subsequent sample according to the procedure below. + Finally, let offset_Q25 be the quantization offset from Table 53. + Then the following procedure produces the final reconstructed + excitation value, e_Q25[i]: + + e_Q25[i] = (e_raw[i] << 10) - sign(e_raw[i])*80 + offset_Q25; + seed = (196314165*seed + 907633515) & 0xFFFFFFFF; + e_Q25[i] = (seed & 0x80000000) ? -(e_Q25[i] + 1) : e_Q25[i]; + seed = (seed + e_raw[i]) & 0xFFFFFFFF; + + When e_raw[i] is zero, sign() returns 0 by the definition in + Section 1.1.4, so the 80 term does not get added. offset does not get + added. The final e_Q25[i] value may require more than 16 bits per + sample, but will not require more than 25, including the sign. + +4.2.7.9. SILK Frame Reconstruction + + The remainder of the reconstruction process for the frame does not + need to be bit-exact, as small errors should only introduce + proportionally small distortions. Although the reference + implementation only includes a fixed-point version of the remaining + steps, this section describes them in terms of a floating-point + + + +Valin, et al. Expires May 3, 2012 [Page 96] + +Internet-Draft Interactive Audio Codec October 2011 + + + version for simplicity. This produces a signal with a nominal range + of -1.0 to 1.0. + + silk_decode_core() (decode_core.c) contains the code for the main + reconstruction process. It proceeds subframe-by-subframe, since + quantization gains, LTP parameters, and (in 20 ms SILK frames) LPC + coefficients can vary from one to the next. + + Let a_Q12[k] be the LPC coefficients for the current subframe. If + this is the first or second subframe of a 20 ms SILK frame and the + LSF interpolation factor, w_Q2 (see Section 4.2.7.5.5), is less than + 4, then these correspond to the final LPC coefficients produced by + Section 4.2.7.5.8 from the interpolated LSF coefficients, n1_Q15[k] + (computed in Section 4.2.7.5.5). Otherwise, they correspond to the + final LPC coefficients produced from the uninterpolated LSF + coefficients for the current frame, n2_Q15[k]. + + Also, let n be the number of samples in a subframe (40 for NB, 60 for + MB, and 80 for WB), s be the index of the current subframe in this + SILK frame (0 or 1 for 10 ms frames, or 0 to 3 for 20 ms frames), and + j be the index of the first sample in the residual corresponding to + the current subframe. + +4.2.7.9.1. LTP Synthesis + + Voiced SILK frames (see Section 4.2.7.3) pass the excitation through + an LTP filter using the parameters decoded in Section 4.2.7.6 to + produce an LPC residual. The LTP filter requires LPC residual values + from before the current subframe as input. However, since the LPCs + may have changed, it obtains this residual by "rewhitening" the + corresponding output signal using the LPCs from the current subframe. + Let e_Q25[i] be the excitation, and out[i] be the fully reconstructed + output signal from previous subframes (see Section 4.2.7.9.2), or + zeros in the first subframe for this channel after either + + o An uncoded regular SILK frame in the side channel, or + + o A decoder reset (see Section 4.5). + + Let LTP_scale_Q14 be the LTP scaling parameter from Section 4.2.7.6.3 + for the first two subframes in any SILK frame, as well as the last + two subframes in a 20 ms SILK frame where w_Q2 == 4. Otherwise let + LTP_scale_Q14 be 16384 (corresponding to 1.0). Then, for i such that + (j - pitch_lags[s] - d_LPC - 2) <= i < j, where pitch_lags[s] is the + pitch lag for the current subframe from Section 4.2.7.6.1, out[i] is + rewhitened into an LPC residual, res[i], via + + + + + +Valin, et al. Expires May 3, 2012 [Page 97] + +Internet-Draft Interactive Audio Codec October 2011 + + + 4.0*LTP_scale_Q14 + res[i] = ------------------------ * clamp(-1.0, + max(gain_Q16[s], 131076) + + d_LPC-1 + __ a_Q12[k] + out[i] - \ out[i-k-1] * --------, 1.0) . + /_ 4096.0 + k=0 + + This requires storage to buffer up to 306 values of out[i] from + previous subframes. This corresponds to WB with a maximum of + 18 ms * 16 kHz samples of pitch lag, plus 2 samples for the width of + the LTP filter, plus 16 samples for d_LPC. + + Let b_Q7[k] be the coefficients of the LTP filter taken from the + codebook entry in one of Tables 39 through 41 corresponding to the + index decoded for the current subframe in Section 4.2.7.6.2. Then + for i such that j <= i < (j + n), the LPC residual is + + 4 + e_Q25[i] __ b_Q7[k] + res[i] = ---------- + \ res[i - pitch_lags[s] + 2 - k] * ------- . + 33554432.0 /_ 128.0 + k=0 + + For unvoiced frames, the LPC residual for j <= i < (j + n) is simply + a normalized copy of the excitation signal, i.e., + + e_Q25[i] + res[i] = ---------- + 33554432.0 + +4.2.7.9.2. LPC Synthesis + + LPC synthesis uses the short-term LPC filter to predict the next + output coefficient. For i such that (j - d_LPC) <= i < j, let lpc[i] + be the result of LPC synthesis from the previous subframe, or zeros + in the first subframe for this channel after either + + o An uncoded regular SILK frame in the side channel, or + + o A decoder reset (see Section 4.5). + + Then for i such that j <= i < (j + n), the result of LPC synthesis + for the current subframe is + + + + + +Valin, et al. Expires May 3, 2012 [Page 98] + +Internet-Draft Interactive Audio Codec October 2011 + + + d_LPC-1 + gain_Q16[i] __ a_Q12[k] + lpc[i] = ----------- * res[i] + \ lpc[i-k-1] * -------- . + 65536.0 /_ 4096.0 + k=0 + + The decoder saves the final d_LPC values, i.e., lpc[i] such that + (j + n - d_LPC) <= i < (j + n), to feed into the LPC synthesis of the + next subframe. This requires storage for up to 16 values of lpc[i] + (for WB frames). + + Then, the signal is clamped into the final nominal range: + + out[i] = clamp(-1.0, lpc[i], 1.0) . + + This clamping occurs entirely after the LPC synthesis filter has run. + The decoder saves the unclamped values, lpc[i], to feed into the LPC + filter for the next subframe, but saves the clamped values, out[i], + for rewhitening in voiced frames. + +4.2.8. Stereo Unmixing + + For stereo streams, after decoding a frame from each channel, the + decoder must convert the mid-side (MS) representation into a left- + right (LR) representation. The function silk_stereo_MS_to_LR + (stereo_MS_to_LR.c) implements this process. In it, the decoder + predicts the side channel using a) a simple low-passed version of the + mid channel, and b) the unfiltered mid channel, using the prediction + weights decoded in Section 4.2.7.1. This simple low-pass filter + imposes a one-sample delay, and the unfiltered mid channel is also + delayed by one sample. In order to allow seamless switching between + stereo and mono, mono streams must also impose the same one-sample + delay. The encoder requires an additional one-sample delay for both + mono and stereo streams, though an encoder may omit the delay for + mono if it knows it will never switch to stereo. + + The unmixing process operates in two phases. The first phase lasts + for 8 ms, during which it interpolates the prediction weights from + the previous frame, prev_w0_Q13 and prev_w1_Q13, to the values for + the current frame, w0_Q13 and w1_Q13. The second phase simply uses + these weights for the remainder of the frame. + + Let mid[i] and side[i] be the contents of out[i] (from + Section 4.2.7.9.2) for the current mid and side channels, + respectively, and let left[i] and right[i] be the corresponding + stereo output channels. If the side channel is not coded (see + Section 4.2.7.2), then side[i] is set to zero. Also let j be defined + as in Section 4.2.7.9, n1 be the number of samples in phase 1 (64 for + + + +Valin, et al. Expires May 3, 2012 [Page 99] + +Internet-Draft Interactive Audio Codec October 2011 + + + NB, 96 for MB, and 128 for WB), and n2 be the total number of samples + in the frame. Then for i such that j <= i < (j + n2), the left and + right channel output is + + prev_w0_Q13 (w0_Q13 - prev_w0_Q13) + w0 = ----------- + min(i - j, n1)*---------------------- , + 8192.0 8192.0*n1 + + prev_w1_Q13 (w1_Q13 - prev_w1_Q13) + w1 = ----------- + min(i - j, n1)*---------------------- , + 8192.0 8192.0*n1 + + mid[i-2] + 2*mid[i-1] + mid[i] + p0 = ------------------------------ , + 4.0 + + left[i] = clamp(-1.0, (1 + w1)*mid[i-1] + side[i-1] + w0*p0, 1.0) , + + right[i] = clamp(-1.0, (1 - w1)*mid[i-1] - side[i-1] - w0*p0, 1.0) . + + These formulas require twp samples prior to index j, the start of the + frame, for the mid channel, and one prior sample for the side + channel. For the first frame after a decoder reset, zeros are used + instead. + +4.2.9. Resampling + + After stereo unmixing (if any), the decoder applies resampling to + convert the decoded SILK output to the sample rate desired by the + application. This is necessary when decoding a Hybrid frame at SWB + or FB sample rates, or whenver the decoder wants the output at a + different sample rate than the internal SILK sampling rate (e.g., to + allow a constant sample rate when the audio bandwidth changes, or to + allow mixing with audio from other applications). The resampler + itself is non-normative, and a decoder can use any method it wants to + perform the resampling. + + However, a minimum amount of delay is imposed to allow the resampler + to operate, and this delay is normative, so that the corresponding + delay can be applied to the MDCT layer in the encoder. A decoder is + always free to use a resampler which requires more delay than allowed + for here (e.g., to improve quality), but then it most delay the + output of the MDCT layer by this extra amount. Keeping as much delay + as possible on the encoder side allows an encoder which knows it will + never use any of the SILK or Hybrid modes to skip this delay. By + contrast, if it were all applied by the decoder, then a decoder which + processes audio in fixed-size blocks would be forced to delay the + output of CELT frames just in case of a later switch to a SILK or + + + +Valin, et al. Expires May 3, 2012 [Page 100] + +Internet-Draft Interactive Audio Codec October 2011 + + + Hybrid mode. + + Table 54 gives the maximum resampler delay in samples at 48 kHz for + each SILK audio bandwidth. The reference implementation is able to + resample to any of the supported output sampling rates (8, 12, 16, + 24, or 48 kHz) within or near this delay constraint. Because the + actual output rate may not be 48 kHz, it may not be possible to + achieve exactly these delays while using a whole number of input or + output samples. Some resampling filters (including those used by the + reference implementation) may add a delay that is not itself an exact + integer at either rate. However, such deviations are unlikely to be + perceptible. The delays listed here are the ones that should be + targeted by the encoder. + + +-----------------+----------------------------+ + | Audio Bandwidth | Delay in Samples at 48 kHz | + +-----------------+----------------------------+ + | NB | 18 | + | | | + | MB | 32 | + | | | + | WB | 24 | + +-----------------+----------------------------+ + + Table 54: SILK Resampler Delay Allocations + +4.3. CELT Decoder + + An overview of the decoder is given in Figure 13. + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 101] + +Internet-Draft Interactive Audio Codec October 2011 + + + +---------+ + | Coarse | + +->| decoder |----+ + | +---------+ | + | | + | +---------+ v + | | Fine | +---+ + +->| decoder |->| + | + | +---------+ +---+ + | ^ | + +---------+ | | | + | Range | | +----------+ v + | Decoder |-+ | Bit | +-----+ + +---------+ | |Allocation| | 2^x | + | +----------+ +-----+ + | | | + | v v +--------+ + | +---------+ +---+ +-------+ | pitch | + +->| PVQ |->| * |->| IMDCT |->| post- |---> + | | decoder | +---+ +-------+ | filter | + | +---------+ +--------+ + | ^ + +--------------------------------------+ + + Figure 13: Structure of the CELT decoder + + The decoder is based on the following symbols and sets of symbols: + + +---------------+-----------------------------------+---------------+ + | Symbol(s) | PDF | Condition | + +---------------+-----------------------------------+---------------+ + | silence | {32767, 1}/32768 | | + | | | | + | post-filter | {1, 1}/2 | | + | | | | + | octave | uniform (6) | post-filter | + | | | | + | period | raw bits (4+octave) | post-filter | + | | | | + | gain | raw bits (3) | post-filter | + | | | | + | tapset | {2, 1, 1}/4 | post-filter | + | | | | + | transient | {7, 1}/8 | | + | | | | + | intra | {7, 1}/8 | | + | | | | + | coarse energy | Section 4.3.2 | | + + + +Valin, et al. Expires May 3, 2012 [Page 102] + +Internet-Draft Interactive Audio Codec October 2011 + + + | tf_change | Section 4.3.1 | | + | | | | + | tf_select | {1, 1}/2 | Section 4.3.1 | + | | | | + | spread | {7, 2, 21, 2}/32 | | + | | | | + | dyn. alloc. | Section 4.3.3 | | + | | | | + | alloc. trim | {2, 2, 5, 10, 22, 46, 22, 10, 5, | | + | | 2, 2}/128 | | + | | | | + | skip | {1, 1}/2 | Section 4.3.3 | + | | | | + | intensity | uniform | Section 4.3.3 | + | | | | + | dual | {1, 1}/2 | | + | | | | + | fine energy | Section 4.3.2 | | + | | | | + | residual | Section 4.3.4 | | + | | | | + | anti-collapse | {1, 1}/2 | Section 4.3.5 | + | | | | + | finalize | Section 4.3.2 | | + +---------------+-----------------------------------+---------------+ + + Order of the symbols in the CELT section of the bitstream. + + Table 55 + + The decoder extracts information from the range-coded bitstream in + the order described in the figure above. In some circumstances, it + is possible for a decoded value to be out of range due to a very + small amount of redundancy in the encoding of large integers by the + range coder. In that case, the decoder should assume there has been + an error in the coding, decoding, or transmission and SHOULD take + measures to conceal the error and/or report to the application that a + problem has occurred. + +4.3.1. Transient Decoding + + The "transient" flag encoded in the bitstream has a probability of + 1/8. When it is set, then the MDCT coefficients represent multiple + short MDCTs in the frame. When not set, the coefficients represent a + single long MDCT for the frame. In addition to the global transient + flag is a per-band binary flag to change the time-frequency (tf) + resolution independently in each band. The change in tf resolution + is defined in tf_select_table[][] in celt.c and depends on the frame + + + +Valin, et al. Expires May 3, 2012 [Page 103] + +Internet-Draft Interactive Audio Codec October 2011 + + + size, whether the transient flag is set, and the value of tf_select. + The tf_select flag uses a 1/2 probability, but is only decoded if it + can have an impact on the result knowing the value of all per-band + tf_change flags. + +4.3.2. Energy Envelope Decoding + + It is important to quantize the energy with sufficient resolution + because any energy quantization error cannot be compensated for at a + later stage. Regardless of the resolution used for encoding the + shape of a band, it is perceptually important to preserve the energy + in each band. CELT uses a three-step coarse-fine-fine strategy for + encoding the energy in the base-2 log domain, as implemented in + quant_bands.c + +4.3.2.1. Coarse energy decoding + + Coarse quantization of the energy uses a fixed resolution of 6 dB + (integer part of base-2 log). To minimize the bitrate, prediction is + applied both in time (using the previous frame) and in frequency + (using the previous bands). The part of the prediction that is based + on the previous frame can be disabled, creating an "intra" frame + where the energy is coded without reference to prior frames. The + decoder first reads the intra flag to determine what prediction is + used. The 2-D z-transform of the prediction filter is: + + -1 -1 + (1 - alpha*z_l )*(1 - z_b ) + A(z_l, z_b) = ----------------------------- + -1 + 1 - beta*z_b + + where b is the band index and l is the frame index. The prediction + coefficients applied depend on the frame size in use when not using + intra energy and are alpha=0, beta=4915/32768 when using intra + energy. The time-domain prediction is based on the final fine + quantization of the previous frame, while the frequency domain + (within the current frame) prediction is based on coarse quantization + only (because the fine quantization has not been computed yet). The + prediction is clamped internally so that fixed point implementations + with limited dynamic range do not suffer desynchronization. We + approximate the ideal probability distribution of the prediction + error using a Laplace distribution with separate parameters for each + frame size in intra- and inter-frame modes. The coarse energy + quantization is performed by unquant_coarse_energy() and + unquant_coarse_energy_impl() (quant_bands.c). The encoding of the + Laplace-distributed values is implemented in ec_laplace_decode() + (laplace.c). + + + +Valin, et al. Expires May 3, 2012 [Page 104] + +Internet-Draft Interactive Audio Codec October 2011 + + +4.3.2.2. Fine energy quantization + + The number of bits assigned to fine energy quantization in each band + is determined by the bit allocation computation described in + Section 4.3.3. Let B_i be the number of fine energy bits for band i; + the refinement is an integer f in the range [0,2**B_i-1]. The + mapping between f and the correction applied to the coarse energy is + equal to (f+1/2)/2**B_i - 1/2. Fine energy quantization is + implemented in quant_fine_energy() (quant_bands.c). + + When some bits are left "unused" after all other flags have been + decoded, these bits are assigned to a "final" step of fine + allocation. In effect, these bits are used to add one extra fine + energy bit per band per channel. The allocation process determines + two "priorities" for the final fine bits. Any remaining bits are + first assigned only to bands of priority 0, starting from band 0 and + going up. If all bands of priority 0 have received one bit per + channel, then bands of priority 1 are assigned an extra bit per + channel, starting from band 0. If any bits are left after this, they + are left unused. This is implemented in unquant_energy_finalise() + (quant_bands.c). + +4.3.3. Bit Allocation + + Many codecs transmit significant amounts of side information for the + purpose of controlling bit allocation within a frame. Often this + side information controls bit usage indirectly and must be carefully + selected to achieve the desired rate constraints. + + The band-energy normalized structure of Opus MDCT mode ensures that a + constant bit allocation for the shape content of a band will result + in a roughly constant tone to noise ratio, which provides for fairly + consistent perceptual performance. The effectiveness of this + approach is the result of two factors: that the band energy, which is + understood to be perceptually important on its own, is always + preserved regardless of the shape precision, and because the constant + tone-to-noise ratio implies a constant intra-band noise to masking + ratio. Intra-band masking is the strongest of the perceptual masking + effects. This structure means that the ideal allocation is more + consistent from frame to frame than it is for other codecs without an + equivalent structure. + + Because the bit allocation is used to drive the decoding of the + range-coder stream, it MUST be recovered exactly so that identical + coding decisions are made in the encoder and decoder. Any deviation + from the reference's resulting bit allocation will result in + corrupted output, though implementers are free to implement the + procedure in any way which produces identical results. + + + +Valin, et al. Expires May 3, 2012 [Page 105] + +Internet-Draft Interactive Audio Codec October 2011 + + + Because all of the information required to decode a frame must be + derived from that frame alone in order to retain robustness to packet + loss, the overhead of explicitly signaling the allocation would be + considerable, especially for low-latency (small frame size) + applications, even though the allocation is relatively static. + + For this reason, in the MDCT mode Opus uses a primarily implicit bit + allocation. The available bitstream capacity is known in advance to + both the encoder and decoder without additional signaling, ultimately + from the packet sizes expressed by a higher-level protocol. Using + this information the codec interpolates an allocation from a hard- + coded table. + + While the band-energy structure effectively models intra-band + masking, it ignores the weaker inter-band masking, band-temporal + masking, and other less significant perceptual effects. While these + effects can often be ignored, they can become significant for + particular samples. One mechanism available to encoders would be to + simply increase the overall rate for these frames, but this is not + possible in a constant rate mode and can be fairly inefficient. As a + result three explicitly signaled mechanisms are provided to alter the + implicit allocation: + + o Band boost + + o Allocation trim + + o Band skipping + + The first of these mechanisms, band boost, allows an encoder to boost + the allocation in specific bands. The second, allocation trim, works + by biasing the overall allocation towards higher or lower frequency + bands. The third, band skipping, selects which low-precision high + frequency bands will be allocated no shape bits at all. + + In stereo mode there are two additional parameters potentially coded + as part of the allocation procedure: a parameter to allow the + selective elimination of allocation for the 'side' in jointly coded + bands, and a flag to deactivate joint coding. These values are not + signaled if they would be meaningless in the overall context of the + allocation. + + Because every signaled adjustment increases overhead and + implementation complexity, none were included speculatively: the + reference encoder makes use of all of these mechanisms. While the + decision logic in the reference was found to be effective enough to + justify the overhead and complexity, further analysis techniques may + be discovered which increase the effectiveness of these parameters. + + + +Valin, et al. Expires May 3, 2012 [Page 106] + +Internet-Draft Interactive Audio Codec October 2011 + + + As with other signaled parameters, an encoder is free to choose the + values in any manner, but unless a technique is known to deliver + superior perceptual results the methods used by the reference + implementation should be used. + + The allocation process consists of the following steps: determining + the per-band maximum allocation vector, decoding the boosts, decoding + the tilt, determining the remaining capacity of the frame, searching + the mode table for the entry nearest but not exceeding the available + space (subject to the tilt, boosts, band maximums, and band + minimums), linear interpolation, reallocation of unused bits with + concurrent skip decoding, determination of the fine-energy vs. shape + split, and final reallocation. This process results in a per-band + shape allocation (in 1/8th bit units), a per-band fine-energy + allocation (in 1 bit per channel units), a set of band priorities for + controlling the use of remaining bits at the end of the frame, and a + remaining balance of unallocated space, which is usually zero except + at very high rates. + + The maximum allocation vector is an approximation of the maximum + space that can be used by each band for a given mode. The value is + approximate because the shape encoding is variable rate (due to + entropy coding of splitting parameters). Setting the maximum too low + reduces the maximum achievable quality in a band while setting it too + high may result in waste: bitstream capacity available at the end of + the frame which can not be put to any use. The maximums specified by + the codec reflect the average maximum. In the reference the maximums + are provided in partially computed form, in order to fit in less + memory as a static table (see cache_caps50[] in + static_modes_float.h). Implementations are expected to simply use + the same table data, but the procedure for generating this table is + included in rate.c as part of compute_pulse_cache(). + + To convert the values in cache.caps into the actual maximums: first + set nbBands to the maximum number of bands for this mode, and stereo + to zero if stereo is not in use and one otherwise. For each band set + N to the number of MDCT bins covered by the band (for one channel), + set LM to the shift value for the frame size (e.g. 0 for 120, 1 for + 240, 3 for 480), then set i to nbBands*(2*LM+stereo). Then set the + maximum for the band to the i-th index of cache.caps + 64 and + multiply by the number of channels in the current frame (one or two) + and by N, then divide the result by 4 using truncating integer + division. The resulting vector will be called cap[]. The elements + fit in signed 16-bit integers but do not fit in 8 bits. This + procedure is implemented in the reference in the function init_caps() + in celt.c. + + The band boosts are represented by a series of binary symbols which + + + +Valin, et al. Expires May 3, 2012 [Page 107] + +Internet-Draft Interactive Audio Codec October 2011 + + + are coded with very low probability. Each band can potentially be + boosted multiple times, subject to the frame actually having enough + room to obey the boost and having enough room to code the boost + symbol. The default coding cost for a boost starts out at six bits, + but subsequent boosts in a band cost only a single bit and every time + a band is boosted the initial cost is reduced (down to a minimum of + two). Since the initial cost of coding a boost is 6 bits, the coding + cost of the boost symbols when completely unused is 0.48 bits/frame + for a 21 band mode (21*-log2(1-1/2**6)). + + To decode the band boosts: First set 'dynalloc_logp' to 6, the + initial amount of storage required to signal a boost in bits, + 'total_bits' to the size of the frame in 8th bits, 'total_boost' to + zero, and 'tell' to the total number of 8th bits decoded so far. For + each band from the coding start (0 normally, but 17 in Hybrid mode) + to the coding end (which changes depending on the signaled + bandwidth): set 'width' to the number of MDCT bins in this band for + all channels. Take the larger of width and 64, then the minimum of + that value and the width times eight and set 'quanta' to the result. + This represents a boost step size of six bits subject to limits of + 1/bit/sample and 1/8th bit/sample. Set 'boost' to zero and + 'dynalloc_loop_logp' to dynalloc_logp. While dynalloc_loop_log (the + current worst case symbol cost) in 8th bits plus tell is less than + total_bits plus total_boost and boost is less than cap[] for this + band: Decode a bit from the bitstream with a with dynalloc_loop_logp + as the cost of a one, update tell to reflect the current used + capacity, if the decoded value is zero break the loop otherwise add + quanta to boost and total_boost, subtract quanta from total_bits, and + set dynalloc_loop_log to 1. When the while loop finishes boost + contains the boost for this band. If boost is non-zero and + dynalloc_logp is greater than 2, decrease dynalloc_logp. Once this + process has been executed on all bands, the band boosts have been + decoded. This procedure is implemented around line 2352 of celt.c. + + At very low rates it is possible that there won't be enough available + space to execute the inner loop even once. In these cases band boost + is not possible but its overhead is completely eliminated. Because + of the high cost of band boost when activated, a reasonable encoder + should not be using it at very low rates. The reference implements + its dynalloc decision logic around line 1269 of celt.c. + + The allocation trim is a integer value from 0-10. The default value + of 5 indicates no trim. The trim parameter is entropy coded in order + to lower the coding cost of less extreme adjustments. Values lower + than 5 bias the allocation towards lower frequencies and values above + 5 bias it towards higher frequencies. Like other signaled + parameters, signaling of the trim is gated so that it is not included + if there is insufficient space available in the bitstream. To decode + + + +Valin, et al. Expires May 3, 2012 [Page 108] + +Internet-Draft Interactive Audio Codec October 2011 + + + the trim, first set the trim value to 5, then iff the count of + decoded 8th bits so far (ec_tell_frac) plus 48 (6 bits) is less than + or equal to the total frame size in 8th bits minus total_boost (a + product of the above band boost procedure), decode the trim value + using the inverse CDF {127, 126, 124, 119, 109, 87, 41, 19, 9, 4, 2, + 0}. + + For 10 ms and 20 ms frames using short blocks and that have at least + LM+2 bits left prior to the allocation process, then one anti- + collapse bit is reserved in the allocation process so it can be + decoded later. Following the the anti-collapse reservation, one bit + is reserved for skip if available. + + For stereo frames, bits are reserved for intensity stereo and for + dual stereo. Intensity stereo requires ilog2(end-start) bits. Those + bits are reserved if there is enough bits left. Following this, one + bit is reserved for dual stereo if available. + + The allocation computation begins by setting up some initial + conditions. 'total' is set to the remaining available 8th bits, + computed by taking the size of the coded frame times 8 and + subtracting ec_tell_frac(). From this value, one (8th bit) is + subtracted to ensure that the resulting allocation will be + conservative. 'anti_collapse_rsv' is set to 8 (8th bits) iff the + frame is a transient, LM is greater than 1, and total is greater than + or equal to (LM+2) * 8. Total is then decremented by + anti_collapse_rsv and clamped to be equal to or greater than zero. + 'skip_rsv' is set to 8 (8th bits) if total is greater than 8, + otherwise it is zero. Total is then decremented by skip_rsv. This + reserves space for the final skipping flag. + + If the current frame is stereo, intensity_rsv is set to the + conservative log2 in 8th bits of the number of coded bands for this + frame (given by the table LOG2_FRAC_TABLE). If intensity_rsv is + greater than total then intensity_rsv is set to zero. Otherwise + total is decremented by intensity_rsv, and if total is still greater + than 8, dual_stereo_rsv is set to 8 and total is decremented by + dual_stereo_rsv. + + The allocation process then computes a vector representing the hard + minimum amounts allocation any band will receive for shape. This + minimum is higher than the technical limit of the PVQ process, but + very low rate allocations produce an excessively sparse spectrum and + these bands are better served by having no allocation at all. For + each coded band, set thresh[band] to twenty-four times the number of + MDCT bins in the band and divide by 16. If 8 times the number of + channels is greater, use that instead. This sets the minimum + allocation to one bit per channel or 48 128th bits per MDCT bin, + + + +Valin, et al. Expires May 3, 2012 [Page 109] + +Internet-Draft Interactive Audio Codec October 2011 + + + whichever is greater. The band-size dependent part of this value is + not scaled by the channel count, because at the very low rates where + this limit is applicable there will usually be no bits allocated to + the side. + + The previously decoded allocation trim is used to derive a vector of + per-band adjustments, 'trim_offsets[]'. For each coded band take the + alloc_trim and subtract 5 and LM. Then multiply the result by the + number of channels, the number of MDCT bins in the shortest frame + size for this mode, the number of remaining bands, 2**LM, and 8. + Then divide this value by 64. Finally, if the number of MDCT bins in + the band per channel is only one, 8 times the number of channels is + subtracted in order to diminish the allocation by one bit, because + width 1 bands receive greater benefit from the coarse energy coding. + +4.3.4. Shape Decoding + + In each band, the normalized "shape" is encoded using a vector + quantization scheme called a "pyramid vector quantizer". + + In the simplest case, the number of bits allocated in Section 4.3.3 + is converted to a number of pulses as described by Section 4.3.4.1. + Knowing the number of pulses and the number of samples in the band, + the decoder calculates the size of the codebook as detailed in + Section 4.3.4.2. The size is used to decode an unsigned integer + (uniform probability model), which is the codeword index. This index + is converted into the corresponding vector as explained in + Section 4.3.4.2. This vector is then scaled to unit norm. + +4.3.4.1. Bits to Pulses + + Although the allocation is performed in 1/8th bit units, the + quantization requires an integer number of pulses K. To do this, the + encoder searches for the value of K that produces the number of bits + nearest to the allocated value (rounding down if exactly halfway + between two values), not to exceed the total number of bits + available. For efficiency reasons, the search is performed against a + precomputed allocation table which only permits some K values for + each N. The number of codebook entries can be computed as explained + in Section 4.3.4.2. The difference between the number of bits + allocated and the number of bits used is accumulated to a "balance" + (initialized to zero) that helps adjust the allocation for the next + bands. One third of the balance is applied to the bit allocation of + each band to help achieve the target allocation. The only exceptions + are the band before the last and the last band, for which half the + balance and the whole balance are applied, respectively. + + + + + +Valin, et al. Expires May 3, 2012 [Page 110] + +Internet-Draft Interactive Audio Codec October 2011 + + +4.3.4.2. PVQ Decoding + + Decoding of PVQ vectors is implemented in decode_pulses() (cwrs.c). + The uique codeword index is decoded as a uniformly-distributed + integer value between 0 and V(N,K)-1, where V(N,K) is the number of + possible combinations of K pulses in N samples. The index is then + converted to a vector in the same way specified in [PVQ]. The + indexing is based on the calculation of V(N,K) (denoted N(L,K) in + [PVQ]). + + The number of combinations can be computed recursively as V(N,K) = + V(N-1,K) + V(N,K-1) + V(N-1,K-1), with V(N,0) = 1 and V(0,K) = 0, K + != 0. There are many different ways to compute V(N,K), including + precomputed tables and direct use of the recursive formulation. The + reference implementation applies the recursive formulation one line + (or column) at a time to save on memory use, along with an alternate, + univariate recurrence to initialize an arbitrary line, and direct + polynomial solutions for small N. All of these methods are + equivalent, and have different trade-offs in speed, memory usage, and + code size. Implementations MAY use any methods they like, as long as + they are equivalent to the mathematical definition. + + The decoded vector is normalised such that its L2-norm equals one. + +4.3.4.3. Spreading + + The normalised vector decoded in Section 4.3.4.2 is then rotated for + the purpose of avoiding tonal artefacts. The rotation gain is equal + to + + g_r = N / (N + f_r*K) + + where N is the number of dimensions, K is the number of pulses, and + f_r depends on the value of the "spread" parameter in the bit-stream. + + +--------------+------------------------+ + | Spread value | f_r | + +--------------+------------------------+ + | 0 | infinite (no rotation) | + | | | + | 1 | 15 | + | | | + | 2 | 10 | + | | | + | 3 | 5 | + +--------------+------------------------+ + + Table 56: Spreading values + + + +Valin, et al. Expires May 3, 2012 [Page 111] + +Internet-Draft Interactive Audio Codec October 2011 + + + The rotation angle is then calculated as + + 2 + pi * g_r + theta = ---------- + 4 + + A 2-D rotation R(i,j) between points x_i and x_j is defined as: + + x_i' = cos(theta)*x_i + sin(theta)*x_j + x_j' = -sin(theta)*x_i + cos(theta)*x_j + + An N-D rotation is then achieved by applying a series of 2-D + rotations back and forth, in the following order: R(x_1, x_2), R(x_2, + x_3), ..., R(x_N-2, X_N-1), R(x_N-1, X_N), R(x_N-2, X_N-1), ..., + R(x_1, x_2). + + If the decoded vector represents more than one time block, then the + following process is applied separately on each time block. Also, if + each block represents 8 samples or more, then another N-D rotation, + by (pi/2-theta), is applied _before_ the rotation described above. + This extra rotation is applied in an interleaved manner with a stride + equal to round(sqrt(N/nb_blocks)) + +4.3.4.4. Split decoding + + To avoid the need for multi-precision calculations when decoding PVQ + codevectors, the maximum size allowed for codebooks is 32 bits. When + larger codebooks are needed, the vector is instead split in two sub- + vectors of size N/2. A quantized gain parameter with precision + derived from the current allocation is entropy coded to represent the + relative gains of each side of the split, and the entire decoding + process is recursively applied. Multiple levels of splitting may be + applied up to a frame size dependent limit. The same recursive + mechanism is applied for the joint coding of stereo audio. + +4.3.4.5. Time-Frequency change + + The time-frequency (TF) parameters are used to control the time- + frequency resolution tradeoff in each coded band. For each band, + there are two possible TF choices. For the first band coded, the PDF + is {3, 1}/4 for frames marked as transient and {15, 1}/16 for the + other frames. For subsequent bands, the TF choice is coded relative + to the previous TF choice with probability {15, 1}/15 for transient + frames and {31, 1}/32 otherwise. The mapping between the decoded TF + choices and the adjustment in TF resolution is shown in the tables + below. + + + + +Valin, et al. Expires May 3, 2012 [Page 112] + +Internet-Draft Interactive Audio Codec October 2011 + + + +-----------------+---+----+ + | Frame size (ms) | 0 | 1 | + +-----------------+---+----+ + | 2.5 | 0 | -1 | + | | | | + | 5 | 0 | -1 | + | | | | + | 10 | 0 | -2 | + | | | | + | 20 | 0 | -2 | + +-----------------+---+----+ + + TF adjustments for non-transient frames and tf_select=0 + + Table 57 + + +-----------------+---+----+ + | Frame size (ms) | 0 | 1 | + +-----------------+---+----+ + | 2.5 | 0 | -1 | + | | | | + | 5 | 0 | -2 | + | | | | + | 10 | 0 | -3 | + | | | | + | 20 | 0 | -3 | + +-----------------+---+----+ + + TF adjustments for non-transient frames and tf_select=1 + + Table 58 + + +-----------------+---+----+ + | Frame size (ms) | 0 | 1 | + +-----------------+---+----+ + | 2.5 | 0 | -1 | + | | | | + | 5 | 1 | 0 | + | | | | + | 10 | 2 | 0 | + | | | | + | 20 | 3 | 0 | + +-----------------+---+----+ + + TF adjustments for transient frames and tf_select=0 + + Table 59 + + + + +Valin, et al. Expires May 3, 2012 [Page 113] + +Internet-Draft Interactive Audio Codec October 2011 + + + +-----------------+---+----+ + | Frame size (ms) | 0 | 1 | + +-----------------+---+----+ + | 2.5 | 0 | -1 | + | | | | + | 5 | 1 | -1 | + | | | | + | 10 | 1 | -1 | + | | | | + | 20 | 1 | -1 | + +-----------------+---+----+ + + TF adjustments for transient frames and tf_select=1 + + Table 60 + + A negative TF adjustment means that the temporal resolution is + increased, while a positive TF adjustment means that the frequency + resolution is increased. Changes in TF resolution are implemented + using the Hadamard transform. To increase the time resolution by N, + N "levels" of the Hadamard transform are applied to the decoded + vector for each interleaved MDCT vector. To increase the frequency + resolution (assumes a transient frame), then N levels of the Hadamard + transform are applied _across_ the interleaved MDCT vector. In the + case of increased time resolution the decoder uses the "sequency + order" because the input vector is sorted in time. + +4.3.5. Anti-Collapse Processing + + When the frame has the transient bit set, an anti-collapse bit is + decoded. When anti-collapse is set, the energy in each small MDCT is + prevented from collapsing to zero. For each band of each MDCT where + a collapse is detected, a pseudo-random signal is inserted with an + energy corresponding to the min energy over the two previous frames. + A renormalization step is then required to ensure that the anti- + collapse step did not alter the energy preservation property. + +4.3.6. Denormalization + + Just like each band was normalized in the encoder, the last step of + the decoder before the inverse MDCT is to denormalize the bands. + Each decoded normalized band is multiplied by the square root of the + decoded energy. This is done by denormalise_bands() (bands.c). + +4.3.7. Inverse MDCT + + The inverse MDCT implementation has no special characteristics. The + input is N frequency-domain samples and the output is 2*N time-domain + + + +Valin, et al. Expires May 3, 2012 [Page 114] + +Internet-Draft Interactive Audio Codec October 2011 + + + samples, while scaling by 1/2. A "low-overlap" window is used to + reduce the algorithmic delay. It is derived from a basic (full + overlap) 240-sample version of the window used by the Vorbis codec: + + 2 + / /pi /pi n + 1/2\ \ \ + W(n) = |sin|-- * sin|-- * -------| | | . + \ \2 \2 L / / / + + The low-overlap window is created by zero-padding the basic window + and inserting ones in the middle, such that the resulting window + still satisfies power complementarity. The IMDCT and windowing are + performed by mdct_backward (mdct.c). + +4.3.7.1. Post-filter + + The output of the inverse MDCT (after weighted overlap-add) is sent + to the post-filter. Although the post-filter is applied at the end, + the post-filter parameters are encoded at the beginning, just after + the silence flag. The post-filter can be switched on or off using + one bit (logp=1). If the post-filter is enabled, then the octave is + decoded as an integer value between 0 and 6 of uniform probability. + Once the octave is known, the fine pitch within the octave is decoded + using 4+octave raw bits. The final pitch period is equal to + (16< S -> S ;S -> S -> S + & & + !R -> R + + NB or MB SILK to Hybrid with Redundancy: S -> S -> S + & + !R ->;H -> H -> H + + WB SILK to Hybrid: S -> S -> S ->!H -> H -> H + + SILK to CELT with Redundancy: S -> S -> S + & + !R -> C -> C -> C + + Hybrid to NB or MB SILK with Redundancy: H -> H -> H ;S -> S -> S + & & + !R -> R + + Hybrid to WB SILK: H -> H -> H -> c + \ + + > S -> S -> S + + Hybrid to CELT with Redundancy: H -> H -> H + & + !R -> C -> C -> C + + CELT to SILK with Redundancy: C -> C -> C -> R + & + ;S -> S -> S + + CELT to Hybrid with Redundancy: C -> C -> C -> R + & + |H -> H -> H + + Key: + S SILK-only frame ; SILK decoder reset + H Hybrid frame | CELT and SILK decoder resets + C CELT-only frame ! CELT decoder reset + c CELT overlap + Direct mixing + R Redundant CELT frame & Windowed cross-lap + + Figure 14: Normative Transitions + + The first two and the last two Opus frames in each example are + illustrative, i.e., there is no requirement that a stream remain in + the same configuration for three consecutive frames before or after a + switch. + + + + +Valin, et al. Expires May 3, 2012 [Page 122] + +Internet-Draft Interactive Audio Codec October 2011 + + + The behavior of transitions without redundancy where PLC is allowed + is non-normative. An encoder might still wish to use these + transitions if, for example, it doesn't want to add the extra bitrate + required for redundancy or if it makes a decision to switch after it + has already transmitted the frame that would have had to contain the + redundancy. Figure 15 illustrates the recommended cross-lapping and + decoder resets for these transitions. + + SILK to SILK (audio bandwidth change): S -> S -> S ;S -> S -> S + + NB or MB SILK to Hybrid: S -> S -> S |H -> H -> H + + SILK to CELT without Redundancy: S -> S -> S -> P + & + !C -> C -> C + + Hybrid to NB or MB SILK: H -> H -> H -> c + + + ;S -> S -> S + + Hybrid to CELT without Redundancy: H -> H -> H -> P + & + !C -> C -> C + + CELT to SILK without Redundancy: C -> C -> C -> P + & + ;S -> S -> S + + CELT to Hybrid without Redundancy: C -> C -> C -> P + & + |H -> H -> H + + Key: + S SILK-only frame ; SILK decoder reset + H Hybrid frame | CELT and SILK decoder resets + C CELT-only frame ! CELT decoder reset + P Packet Loss Concealment & Windowed cross-lap + + Figure 15: Recommended Non-Normative Transitions + + Encoders SHOULD NOT use other transitions, e.g., those that involve + redundancy in ways not illustrated in Figure 14. + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 123] + +Internet-Draft Interactive Audio Codec October 2011 + + +5. Opus Encoder + + Just like the decoder, the Opus encoder also normally consists of two + main blocks: the SILK encoder and the CELT encoder. However, unlike + the case of the decoder, a valid (though potentially suboptimal) Opus + encoder is not required to support all modes and may thus only + include a SILK encoder module or a CELT encoder module. The output + bit-stream of the Opus encoding contains bits from the SILK and CELT + encoders, though these are not separable due to the use of a range + coder. A block diagram of the encoder is illustrated below. + + + +----------+ +-------+ + | sample | | SILK | + +->| rate |--->|encoder|--+ + +-----------+ | |conversion| | | | + | Optional | | +----------+ +-------+ | +-------+ + ->| high-pass |--+ +-->| Range | + + filter + | +------------+ +-------+ |encoder|----> + +-----------+ | | Delay | | CELT | +-->| | bit- + +->|compensation|->|encoder|--+ +-------+ stream + | | | | + +------------+ +-------+ + + + For a normal encoder where both the SILK and the CELT modules are + included, an optimal encoder should select which coding mode to use + at run-time depending on the conditions. In the reference + implementation, the frame size is selected by the application, but + the other configuration parameters (number of channels, bandwidth, + mode) are automatically selected (unless explicitly overridden by the + application) depend on the following: + + o Requested bit-rate + + o Input sampling rate + + o Type of signal (speech vs music) + + o Frame size in use + + The type of signal currently needs to be provided by the application + (though it can be changed in real-time). An Opus encoder + implementation could also do automatic detection, but since Opus is + an interactive codec, such an implementation would likely have to + either delay the signal (for non-interactive application) or delay + the mode switching decisions (for interactive applications). + + + + +Valin, et al. Expires May 3, 2012 [Page 124] + +Internet-Draft Interactive Audio Codec October 2011 + + + When the encoder is configured for voice over IP applications, the + input signal is filtered by a high-pass filter to remove the lowest + part of the spectrum that contains little speech energy and may + contain background noise. This is a second order Auto Regressive + Moving Average (ARMA) filter with a cut-off frequency around 50 Hz. + In the future, a music detector may also be used to lower the cut-off + frequency when the input signal is detected to be music rather than + speech. + +5.1. Range Coder + + The range coder also acts as the bit-packer for Opus. It is used in + three different ways, to encode: + + o entropy-coded symbols with a fixed probability model using + ec_encode(), (entenc.c) + + o integers from 0 to 2**M-1 using ec_enc_uint() or ec_enc_bits(), + (entenc.c) + + o integers from 0 to N-1 (where N is not a power of two) using + ec_enc_uint(). (entenc.c) + + The range encoder maintains an internal state vector composed of the + four-tuple (low,rng,rem,ext) representing the low end of the current + range, the size of the current range, a single buffered output octet, + and a count of additional carry-propagating output octets. Both rng + and low are 32-bit unsigned integer values, rem is an octet value or + the special value -1, and ext is an integer with at least 16 bits. + This state vector is initialized at the start of each each frame to + the value (0,2**31,-1,0). The reference implementation re-uses the + 'val' field of the entropy coder structure to hold low, in order to + allow the same structure to be used for encoding and decoding, but we + maintain the distinction here for clarity. + +5.1.1. Encoding Symbols + + The main encoding function is ec_encode() (entenc.c), which takes as + an argument a three-tuple (fl,fh,ft) describing the range of the + symbol to be encoded in the current context, with 0 <= fl < fh <= ft + <= 65535. The values of this tuple are derived from the probability + model for the symbol. Let f(i) be the frequency of the i'th symbol + in the current context. Then the three-tuple corresponding to the + k'th symbol is given by fl=sum(f(i),i + 2**23. First, the top 9 bits of low, (low>>23), are placed into a + carry buffer. Then, low is set to (low << 8 & 0x7FFFFFFF) and rng is + set to (rng<<8). This process is carried out by ec_enc_normalize() + (entenc.c). + + The 9 bits produced in each iteration of the normalization loop + consist of 8 data bits and a carry flag. The final value of the + output bits is not determined until carry propagation is accounted + for. Therefore the reference implementation buffers a single (non- + propagating) output octet and keeps a count of additional propagating + (0xFF) output octets. An implementation may choose to use any + mathematically equivalent scheme to perform carry propagation. + + The function ec_enc_carry_out() (entenc.c) performs this buffering. + It takes a 9-bit input value, c, from the normalization: 8 bits of + output and a carry bit. If c is 0xFF, then ext is incremented and no + octets are output. Otherwise, if rem is not the special value -1, + then the octet (rem+(c>>8)) is output. Then ext octets are output + with the value 0 if the carry bit is set, or 0xFF if it is not, and + rem is set to the lower 8 bits of c. After this, ext is set to zero. + + In the reference implementation, a special version of ec_encode() + called ec_encode_bin() (entenc.c) is defined to take a two-tuple + (fl,ftb), where 0 <= fl < 2**ftb and ftb < 16. It is mathematically + equivalent to calling ec_encode() with the three-tuple (fl,fl+ + 1,1<8, then the top 8 bits of fl are encoded using + ec_encode() with the three-tuple (fl>>ftb-8,(fl>>ftb-8)+ + 1,(ft-1>>ftb-8)+1), and the remaining bits are encoded as raw bits. + Otherwise, fl is encoded with ec_encode() directly using the three- + tuple (fl,fl+1,ft). + +5.1.4. Finalizing the Stream + + After all symbols are encoded, the stream must be finalized by + outputting a value inside the current range. Let end be the integer + in the interval [low,low+rng) with the largest number of trailing + zero bits, b, such that end+(1<>23), are sent to the carry buffer, and end is replaced by + (end<<8&0x7FFFFFFF). Finally, if the value in carry buffer, rem, is + neither zero nor the special value -1, or the carry count, ext, is + greater than zero, then 9 zero bits are sent to the carry buffer. + After the carry buffer is finished outputting octets, the rest of the + output buffer (if any) is padded with zero bits, until it reaches the + raw bits. Finally, rem is set to the special value -1. This process + is implemented by ec_enc_done() (entenc.c). + +5.1.5. Current Bit Usage + + The bit allocation routines in Opus need to be able to determine a + conservative upper bound on the number of bits that have been used to + encode the current frame thus far. This drives allocation decisions + and ensures that the range coder and raw bits will not overflow the + output buffer. This is computed in the reference implementation to + whole-bit precision by the function ec_tell() (entcode.h) and to + fractional 1/8th bit precision by the function ec_tell_frac() + (entcode.c). Like all operations in the range coder, it must be + implemented in a bit-exact manner, and must produce exactly the same + value returned by the same functions in the decoder after decoding + the same symbols. + + + + + +Valin, et al. Expires May 3, 2012 [Page 127] + +Internet-Draft Interactive Audio Codec October 2011 + + +5.2. SILK Encoder + + In many respects the SILK encoder mirrors the SILK decoder described + in Section 4.2. Details such as the quantization and range coder + tables can be found there, while this section describes the high- + level design choices that were made. The diagram below shows the + basic modules of the SILK encoder. + + + +----------+ +--------+ +---------+ + | Sample | | Stereo | | SILK | + ------>| Rate |--->| Mixing |--->| Core |----------> + input |Conversion| | | | Encoder | bitstream + +----------+ +--------+ +---------+ + + + Silk Encoder. + +5.2.1. Sample Rate Conversion + + The input signal's sampling rate is adjusted by a sample rate + conversion module so that it matches the SILK internal sampling rate. + The input to the sample rate convertor is delayed by a number of + samples depending on the sample rate ratio, such that the overall + delay is constant for all input and output sample rates. + +5.2.2. Stereo Mixing + + The stereo mixer is only used for stereo input signals. It converts + a stereo left/right signal into an adaptive mid/side representation. + The first step is to compute non-adaptive mid/side signals as half + the sum and difference between left and right signals. The side + signal is then minimized in energy by subtracting a prediction of it + based on the mid signal. This prediction works well when the left + and right signals exhibit linear dependency, for instance for an + amplitude-panned input signal. Like in the decoder, the prediction + coefficients are linearly interpolated during the first 8 ms of the + frame. The mid signal is always encoded, whereas the residual side + signal is only encoded if it has sufficient energy compared to the + mid signal's energy. If it has not, the "mid_only_flag" is set + without encoding the side signal. + + The predictor coefficients are coded regardless of whether the side + signal is encoded. For each frame, two predictor coefficients are + computed, one that predicts between low-passed mid and side channels, + and one that predicts between high-passed mid and side channels. The + low-pass filter is a simple three-tap filter and creates a delay of + one sample. The high-pass filtered signal is the difference between + + + +Valin, et al. Expires May 3, 2012 [Page 128] + +Internet-Draft Interactive Audio Codec October 2011 + + + the mid signal delayed by one sample and the low-passed signal. + Instead of explicitly computing the high-passed signal, it is + computationally more efficient to transform the prediction + coefficients before applying them to the filtered mid signal, as + follows + + + pred(n) = LP(n) * w0 + HP(n) * w1 + = LP(n) * w0 + (mid(n-1) - LP(n)) * w1 + = LP(n) * (w0 - w1) + mid(n-1) * w1 + + + where w0 and w1 are the low-pass and high-pass prediction + coefficients, mid(n-1) is the mid signal delayed by one sample, LP(n) + and HP(n) are the low-passed and high-passed signals and pred(n) is + the prediction signal that is subtracted from the side signal. + +5.2.3. SILK Core Encoder + + What follows is a description of the core encoder and its components. + For simplicity, the core encoder is referred to simply as the encoder + in the remainder of this section. An overview of the encoder is + given in Figure 16. + + + +---+ + +--------------------------------->| | + +---------+ | +---------+ | | + |Voice | | |LTP |12 | | + +-->|Activity |--+ +----->|Scaling |-----------+---->| | + | |Detector |3 | | |Control |<--+ | | | + | +---------+ | | +---------+ | | | | + | | | +---------+ | | | | + | | | |Gains | | | | | + | | | +-->|Processor|---|---+---|---->| R | + | | | | | |11 | | | | a | + | \/ | | +---------+ | | | | n | + | +---------+ | | +---------+ | | | | g | + | |Pitch | | | |LSF | | | | | e | + | +->|Analysis |---+ | |Quantizer|---|---|---|---->| | + | | | |4 | | | |8 | | | | E |--> + | | +---------+ | | +---------+ | | | | n | 2 + | | | | 9/\ 10| | | | | c | + | | | | | \/ | | | | o | + | | +---------+ | | +----------+ | | | | d | + | | |Noise | +--|-->|Prediction|--+---|---|---->| e | + | +->|Shaping |---|--+ |Analysis |7 | | | | r | + | | |Analysis |5 | | | | | | | | | + + + +Valin, et al. Expires May 3, 2012 [Page 129] + +Internet-Draft Interactive Audio Codec October 2011 + + + | | +---------+ | | +----------+ | | | | | + | | | | /\ | | | | | + | | +----------|--|--------+ | | | | | + | | | \/ \/ \/ \/ \/ | | + | | | +---------+ +------------+ | | + | | | | | |Noise | | | + -+-------+-----+------>|Prefilter|--------->|Shaping |-->| | + 1 | | 6 |Quantization|13 | | + +---------+ +------------+ +---+ + + 1: Input speech signal + 2: Range encoded bitstream + 3: Voice activity estimate + 4: Pitch lags (per 5 ms) and voicing decision (per 20 ms) + 5: Noise shaping quantization coefficients + - Short term synthesis and analysis + noise shaping coefficients (per 5 ms) + - Long term synthesis and analysis noise + shaping coefficients (per 5 ms and for voiced speech only) + - Noise shaping tilt (per 5 ms) + - Quantizer gain/step size (per 5 ms) + 6: Input signal filtered with analysis noise shaping filters + 7: Short and long term prediction coefficients + LTP (per 5 ms) and LPC (per 20 ms) + 8: LSF quantization indices + 9: LSF coefficients + 10: Quantized LSF coefficients + 11: Processed gains, and synthesis noise shape coefficients + 12: LTP state scaling coefficient. Controlling error propagation + / prediction gain trade-off + 13: Quantized signal + + + Silk Core Encoder. + + Figure 16 + +5.2.3.1. Voice Activity Detection + + The input signal is processed by a Voice Activity Detector (VAD) to + produce a measure of voice activity, spectral tilt, and signal-to- + noise estimates for each frame. The VAD uses a sequence of half-band + filterbanks to split the signal into four subbands: 0...Fs/16, Fs/ + 16...Fs/8, Fs/8...Fs/4, and Fs/4...Fs/2, where Fs is the sampling + frequency (8, 12, 16, or 24 kHz). The lowest subband, from 0 - + Fs/16, is high-pass filtered with a first-order moving average (MA) + filter (with transfer function H(z) = 1-z**(-1)) to reduce the energy + at the lowest frequencies. For each frame, the signal energy per + + + +Valin, et al. Expires May 3, 2012 [Page 130] + +Internet-Draft Interactive Audio Codec October 2011 + + + subband is computed. In each subband, a noise level estimator tracks + the background noise level and a Signal-to-Noise Ratio (SNR) value is + computed as the logarithm of the ratio of energy to noise level. + Using these intermediate variables, the following parameters are + calculated for use in other SILK modules: + + o Average SNR. The average of the subband SNR values. + + o Smoothed subband SNRs. Temporally smoothed subband SNR values. + + o Speech activity level. Based on the average SNR and a weighted + average of the subband energies. + + o Spectral tilt. A weighted average of the subband SNRs, with + positive weights for the low subbands and negative weights for the + high subbands. + +5.2.3.2. Pitch Analysis + + The input signal is processed by the open loop pitch estimator shown + in Figure 17. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 131] + +Internet-Draft Interactive Audio Codec October 2011 + + + +--------+ +----------+ + |2 x Down| |Time- | + +->|sampling|->|Correlator| | + | | | | | |4 + | +--------+ +----------+ \/ + | | 2 +-------+ + | | +-->|Speech |5 + +---------+ +--------+ | \/ | |Type |-> + |LPC | |Down | | +----------+ | | + +->|Analysis | +->|sample |-+------------->|Time- | +-------+ + | | | | |to 8 kHz| |Correlator|-----------> + | +---------+ | +--------+ |__________| 6 + | | | |3 + | \/ | \/ + | +---------+ | +----------+ + | |Whitening| | |Time- | + -+->|Filter |-+--------------------------->|Correlator|-----------> + 1 | | | | 7 + +---------+ +----------+ + + 1: Input signal + 2: Lag candidates from stage 1 + 3: Lag candidates from stage 2 + 4: Correlation threshold + 5: Voiced/unvoiced flag + 6: Pitch correlation + 7: Pitch lags + + + Block diagram of the pitch estimator. + + Figure 17 + + The pitch analysis finds a binary voiced/unvoiced classification, + and, for frames classified as voiced, four pitch lags per frame - one + for each 5 ms subframe - and a pitch correlation indicating the + periodicity of the signal. The input is first whitened using a + Linear Prediction (LP) whitening filter, where the coefficients are + computed through standard Linear Prediction Coding (LPC) analysis. + The order of the whitening filter is 16 for best results, but is + reduced to 12 for medium complexity and 8 for low complexity modes. + The whitened signal is analyzed to find pitch lags for which the time + correlation is high. The analysis consists of three stages for + reducing the complexity: + + o In the first stage, the whitened signal is downsampled to 4 kHz + (from 8 kHz) and the current frame is correlated to a signal + delayed by a range of lags, starting from a shortest lag + + + +Valin, et al. Expires May 3, 2012 [Page 132] + +Internet-Draft Interactive Audio Codec October 2011 + + + corresponding to 500 Hz, to a longest lag corresponding to 56 Hz. + + o The second stage operates on an 8 kHz signal (downsampled from 12, + 16, or 24 kHz) and measures time correlations only near the lags + corresponding to those that had sufficiently high correlations in + the first stage. The resulting correlations are adjusted for a + small bias towards short lags to avoid ending up with a multiple + of the true pitch lag. The highest adjusted correlation is + compared to a threshold depending on: + + * Whether the previous frame was classified as voiced + + * The speech activity level + + * The spectral tilt. + + If the threshold is exceeded, the current frame is classified as + voiced and the lag with the highest adjusted correlation is stored + for a final pitch analysis of the highest precision in the third + stage. + + o The last stage operates directly on the whitened input signal to + compute time correlations for each of the four subframes + independently in a narrow range around the lag with highest + correlation from the second stage. + +5.2.3.3. Noise Shaping Analysis + + The noise shaping analysis finds gains and filter coefficients used + in the prefilter and noise shaping quantizer. These parameters are + chosen such that they will fulfill several requirements: + + o Balancing quantization noise and bitrate. The quantization gains + determine the step size between reconstruction levels of the + excitation signal. Therefore, increasing the quantization gain + amplifies quantization noise, but also reduces the bitrate by + lowering the entropy of the quantization indices. + + o Spectral shaping of the quantization noise; the noise shaping + quantizer is capable of reducing quantization noise in some parts + of the spectrum at the cost of increased noise in other parts + without substantially changing the bitrate. By shaping the noise + such that it follows the signal spectrum, it becomes less audible. + In practice, best results are obtained by making the shape of the + noise spectrum slightly flatter than the signal spectrum. + + o De-emphasizing spectral valleys; by using different coefficients + in the analysis and synthesis part of the prefilter and noise + + + +Valin, et al. Expires May 3, 2012 [Page 133] + +Internet-Draft Interactive Audio Codec October 2011 + + + shaping quantizer, the levels of the spectral valleys can be + decreased relative to the levels of the spectral peaks such as + speech formants and harmonics. This reduces the entropy of the + signal, which is the difference between the coded signal and the + quantization noise, thus lowering the bitrate. + + o Matching the levels of the decoded speech formants to the levels + of the original speech formants; an adjustment gain and a first + order tilt coefficient are computed to compensate for the effect + of the noise shaping quantization on the level and spectral tilt. + + + + / \ ___ + | // \\ + | // \\ ____ + |_// \\___// \\ ____ + | / ___ \ / \\ // \\ + P |/ / \ \_/ \\_____// \\ + o | / \ ____ \ / \\ + w | / \___/ \ \___/ ____ \\___ 1 + e |/ \ / \ \ + r | \_____/ \ \__ 2 + | \ + | \___ 3 + | + +----------------------------------------> + Frequency + + 1: Input signal spectrum + 2: De-emphasized and level matched spectrum + 3: Quantization noise spectrum + + + Noise shaping and spectral de-emphasis illustration. + + Figure 18 + + Figure 18 shows an example of an input signal spectrum (1). After + de-emphasis and level matching, the spectrum has deeper valleys (2). + The quantization noise spectrum (3) more or less follows the input + signal spectrum, while having slightly less pronounced peaks. The + entropy, which provides a lower bound on the bitrate for encoding the + excitation signal, is proportional to the area between the de- + emphasized spectrum (2) and the quantization noise spectrum (3). + Without de-emphasis, the entropy is proportional to the area between + input spectrum (1) and quantization noise (3) - clearly higher. + + + + +Valin, et al. Expires May 3, 2012 [Page 134] + +Internet-Draft Interactive Audio Codec October 2011 + + + The transformation from input signal to de-emphasized signal can be + described as a filtering operation with a filter + + + -1 Wana(z) + H(z) = G * ( 1 - c_tilt * z ) * ------- + Wsyn(z), + + + having an adjustment gain G, a first order tilt adjustment filter + with tilt coefficient c_tilt, and where + + + 16 d + __ -k -L __ -k + Wana(z) = (1 - \ (a_ana(k) * z )*(1 - z * \ b_ana(k) * z ), + /_ /_ + k=1 k=-d + + + is the analysis part of the de-emphasis filter, consisting of the + short-term shaping filter with coefficients a_ana(k), and the long- + term shaping filter with coefficients b_ana(k) and pitch lag L. The + parameter d determines the number of long-term shaping filter taps. + + Similarly, but without the tilt adjustment, the synthesis part can be + written as + + + 16 d + __ -k -L __ -k + Wsyn(z) = (1 - \ (a_syn(k) * z )*(1 - z * \ b_syn(k) * z ). + /_ /_ + k=1 k=-d + + + All noise shaping parameters are computed and applied per subframe of + 5 ms. First, an LPC analysis is performed on a windowed signal block + of 15 ms. The signal block has a look-ahead of 5 ms relative to the + current subframe, and the window is an asymmetric sine window. The + LPC analysis is done with the autocorrelation method, with an order + of between 8, in lowest-complexity mode, and 16, for best quality. + + Optionally the LPC analysis and noise shaping filters are warped by + replacing the delay elements by first-order allpass filters. This + increases the frequency resolution at low frequencies and reduces it + at high ones, which better matches the human auditory system and + improves quality. The warped analysis and filtering comes at a cost + + + +Valin, et al. Expires May 3, 2012 [Page 135] + +Internet-Draft Interactive Audio Codec October 2011 + + + in complexity and is therefore only done in higher complexity modes. + + The quantization gain is found by taking the square root of the + residual energy from the LPC analysis and multiplying it by a value + inversely proportional to the coding quality control parameter and + the pitch correlation. + + Next the two sets of short-term noise shaping coefficients a_ana(k) + and a_syn(k) are obtained by applying different amounts of bandwidth + expansion to the coefficients found in the LPC analysis. This + bandwidth expansion moves the roots of the LPC polynomial towards the + origin, using the formulas + + + k + a_ana(k) = a(k)*g_ana , and + + k + a_syn(k) = a(k)*g_syn , + + + where a(k) is the k'th LPC coefficient, and the bandwidth expansion + factors g_ana and g_syn are calculated as + + + g_ana = 0.95 - 0.01*C, and + + g_syn = 0.95 + 0.01*C, + + + where C is the coding quality control parameter between 0 and 1. + Applying more bandwidth expansion to the analysis part than to the + synthesis part gives the desired de-emphasis of spectral valleys in + between formants. + + The long-term shaping is applied only during voiced frames. It uses + three filter taps, described by + + + b_ana = F_ana * [0.25, 0.5, 0.25], and + + b_syn = F_syn * [0.25, 0.5, 0.25]. + + + For unvoiced frames these coefficients are set to 0. The + multiplication factors F_ana and F_syn are chosen between 0 and 1, + depending on the coding quality control parameter, as well as the + calculated pitch correlation and smoothed subband SNR of the lowest + + + +Valin, et al. Expires May 3, 2012 [Page 136] + +Internet-Draft Interactive Audio Codec October 2011 + + + subband. By having F_ana less than F_syn, the pitch harmonics are + emphasized relative to the valleys in between the harmonics. + + The tilt coefficient c_tilt is for unvoiced frames chosen as + + + c_tilt = 0.25, + + + and as + + + c_tilt = 0.25 + 0.2625 * V + + + for voiced frames, where V is the voice activity level between 0 and + 1. + + The adjustment gain G serves to correct any level mismatch between + the original and decoded signals that might arise from the noise + shaping and de-emphasis. This gain is computed as the ratio of the + prediction gain of the short-term analysis and synthesis filter + coefficients. The prediction gain of an LPC synthesis filter is the + square root of the output energy when the filter is excited by a + unit-energy impulse on the input. An efficient way to compute the + prediction gain is by first computing the reflection coefficients + from the LPC coefficients through the step-down algorithm, and + extracting the prediction gain from the reflection coefficients as + + + K + ___ 2 -0.5 + predGain = ( | | 1 - (r_k) ) , + k=1 + + + where r_k is the k'th reflection coefficient. + + Initial values for the quantization gains are computed as the square- + root of the residual energy of the LPC analysis, adjusted by the + coding quality control parameter. These quantization gains are later + adjusted based on the results of the prediction analysis. + +5.2.3.4. Prediction Analysis + + The prediction analysis is performed in one of two ways depending on + how the pitch estimator classified the frame. The processing for + voiced and unvoiced speech is described in Section 5.2.3.4.1 and + + + +Valin, et al. Expires May 3, 2012 [Page 137] + +Internet-Draft Interactive Audio Codec October 2011 + + + Section 5.2.3.4.2, respectively. Inputs to this function include the + pre-whitened signal from the pitch estimator (see Section 5.2.3.2). + +5.2.3.4.1. Voiced Speech + + For a frame of voiced speech the pitch pulses will remain dominant in + the pre-whitened input signal. Further whitening is desirable as it + leads to higher quality at the same available bitrate. To achieve + this, a Long-Term Prediction (LTP) analysis is carried out to + estimate the coefficients of a fifth-order LTP filter for each of + four subframes. The LTP coefficients are quantized using the method + described in Section 5.2.3.6, and the quantized LTP coefficients are + used to compute the LTP residual signal. This LTP residual signal is + the input to an LPC analysis where the LPCs are estimated using + Burg's method, such that the residual energy is minimized. The + estimated LPCs are converted to a Line Spectral Frequency (LSF) + vector and quantized as described in Section 5.2.3.5. After + quantization, the quantized LSF vector is converted back to LPC + coefficients using the full procedure in Section 4.2.7.5. By using + quantized LTP coefficients and LPC coefficients derived from the + quantized LSF coefficients, the encoder remains fully synchronized + with the decoder. The quantized LPC and LTP coefficients are also + used to filter the input signal and measure residual energy for each + of the four subframes. + +5.2.3.4.2. Unvoiced Speech + + For a speech signal that has been classified as unvoiced, there is no + need for LTP filtering, as it has already been determined that the + pre-whitened input signal is not periodic enough within the allowed + pitch period range for LTP analysis to be worth the cost in terms of + complexity and bitrate. The pre-whitened input signal is therefore + discarded, and instead the input signal is used for LPC analysis + using Burg's method. The resulting LPC coefficients are converted to + an LSF vector and quantized as described in the following section. + They are then transformed back to obtain quantized LPC coefficients, + which are then used to filter the input signal and measure residual + energy for each of the four subframes. + +5.2.3.4.2.1. Burgs method + + The main purpose of LPC coding in SILK is to reduce the bitrate by + minimizing the residual energy. At least at high bitrates, + perceptual aspects are handled independently by the noise shaping + filter. Burg's method is used because it provides higher prediction + gain than the autocorrelation method and, unlike the covariance + method, produces stable filters (assuming numerical errors don't + spoil that). SILK's implementation of Burg's method is also + + + +Valin, et al. Expires May 3, 2012 [Page 138] + +Internet-Draft Interactive Audio Codec October 2011 + + + computationally faster than the autocovariance method. The + implementation of Burg's method differs from traditional + implementations in two aspects. The first difference is that it + operates on autocorrelations, similar to the Schur algorithm, but + with a simple update to the autocorrelations after finding each + reflection coefficient to make the result identical to Burg's method. + This brings down the complexity of Burg's method to near that of the + autocorrelation method. The second difference is that the signal in + each subframe is scaled by the inverse of the residual quantization + step size. Subframes with a small quantization step size will on + average spend more bits for a given amount of residual energy than + subframes with a large step size. Without scaling, Burg's method + minimizes the total residual energy in all subframes, which doesn't + necessarily minimize the total number of bits needed for coding the + quantized residual. The residual energy of the scaled subframes is a + better measure for that number of bits. + +5.2.3.5. LSF Quantization + + Unlike many other speech codecs, SILK uses variable bitrate coding + for the LSFs. This improves the average rate-distortion tradeoff and + reduces outliers. The variable bitrate coding minimizes a linear + combination of the weighted quantization errors and the bitrate. The + weights for the quantization errors are the Inverse Harmonic Mean + Weighting (IHMW) function proposed by Laroia et al. (see + [laroia-icassp]). These weights are refered to here as Laroia + weights. + + The LSF quantizer consists of two stages. The first stage is an + (unweighted) vector quantizer (VQ), with a codebook size of 32 + vectors. The quantization errors for the codebook vector are sorted, + and for the N best vectors a second stage quantizer is run. By + varying the number N a tradeoff is made between R/D performance and + computational efficiency. For each of the N codebook vectors the + Laroia weights corresponding to that vector (and not to the input + vector) are calculated. Then the residual between the input LSF + vector and the codebook vector is scaled by the square roots of these + Laroia weights. This scaling partially normalizes error sensitivity + for the residual vector, so that a uniform quantizer with fixed step + sizes can be used in the second stage without too much performance + loss. And by scaling with Laroia weights determined from the first- + stage codebook vector, the process can be reversed in the decoder. + + The second stage uses predictive delayed decision scalar + quantization. The quantization error is weighted by Laroia weights + determined from the LSF input vector. The predictor multiplies the + previous quantized residual value by a prediction coefficient that + depends on the vector index from the first stage VQ and on the + + + +Valin, et al. Expires May 3, 2012 [Page 139] + +Internet-Draft Interactive Audio Codec October 2011 + + + location in the LSF vector. The prediction is subtracted from the + LSF residual value before quantizing the result, and added back + afterwards. This subtraction can be interpreted as shifting the + quantization levels of the scalar quantizer, and as a result the + quantization error of each value depends on the quantization decision + of the previous value. This dependency is exploited by the delayed + decision mechanism to search for a quantization sequency with best + R/D performance with a Viterbi-like algorithm . The quantizer + processes the residual LSF vector in reverse order (i.e., it starts + with the highest residual LSF value). This is done because the + prediction works slightly better in the reverse direction. + + The quantization index of the first stage is entropy coded. The + quantization sequence from the second stage is also entropy coded, + where for each elemnt the probability table is chosen depending on + the vector index from the first and the location of that element in + the LSF vector. + +5.2.3.5.1. LSF Stabilization + + If the input is stable, finding the best candidate usually results in + a quantized vector that is also stable. Because of the two-stage + approach, however, it is possible that the best quantization + candidate is unstable. Therefore we apply an LSF stabilization + method which ensures that the LSF parameters are within their valid + range, increasingly sorted, and have minimum distances between each + other and the border values that have been predetermined as the 0.01 + percentile distance values from a large training set. + +5.2.3.6. LTP Quantization + + For voiced frames, the prediction analysis described in + Section 5.2.3.4.1 resulted in four sets (one set per subframe) of + five LTP coefficients, plus four weighting matrices. The LTP + coefficients for each subframe are quantized using entropy + constrained vector quantization. A total of three vector codebooks + are available for quantization, with different rate-distortion trade- + offs. The three codebooks have 10, 20, and 40 vectors and average + rates of about 3, 4, and 5 bits per vector, respectively. + Consequently, the first codebook has larger average quantization + distortion at a lower rate, whereas the last codebook has smaller + average quantization distortion at a higher rate. Given the + weighting matrix W_ltp and LTP vector b, the weighted rate-distortion + measure for a codebook vector cb_i with rate r_i is give by + + + RD = u * (b - cb_i)' * W_ltp * (b - cb_i) + r_i, + + + + +Valin, et al. Expires May 3, 2012 [Page 140] + +Internet-Draft Interactive Audio Codec October 2011 + + + where u is a fixed, heuristically-determined parameter balancing the + distortion and rate. Which codebook gives the best performance for a + given LTP vector depends on the weighting matrix for that LTP vector. + For example, for a low valued W_ltp, it is advantageous to use the + codebook with 10 vectors as it has a lower average rate. For a large + W_ltp, on the other hand, it is often better to use the codebook with + 40 vectors, as it is more likely to contain the best codebook vector. + The weighting matrix W_ltp depends mostly on two aspects of the input + signal. The first is the periodicity of the signal; the more + periodic, the larger W_ltp. The second is the change in signal + energy in the current subframe, relative to the signal one pitch lag + earlier. A decaying energy leads to a larger W_ltp than an + increasing energy. Both aspects fluctuate relatively slowly, which + causes the W_ltp matrices for different subframes of one frame often + to be similar. Because of this, one of the three codebooks typically + gives good performance for all subframes, and therefore the codebook + search for the subframe LTP vectors is constrained to only allow + codebook vectors to be chosen from the same codebook, resulting in a + rate reduction. + + To find the best codebook, each of the three vector codebooks is used + to quantize all subframe LTP vectors and produce a combined weighted + rate-distortion measure for each vector codebook. The vector + codebook with the lowest combined rate-distortion over all subframes + is chosen. The quantized LTP vectors are used in the noise shaping + quantizer, and the index of the codebook plus the four indices for + the four subframe codebook vectors are passed on to the range + encoder. + +5.2.3.7. Prefilter + + In the prefilter the input signal is filtered using the spectral + valley de-emphasis filter coefficients from the noise shaping + analysis (see Section 5.2.3.3). By applying only the noise shaping + analysis filter to the input signal, it provides the input to the + noise shaping quantizer. + +5.2.3.8. Noise Shaping Quantizer + + The noise shaping quantizer independently shapes the signal and + coding noise spectra to obtain a perceptually higher quality at the + same bitrate. + + The prefilter output signal is multiplied with a compensation gain G + computed in the noise shaping analysis. Then the output of a + synthesis shaping filter is added, and the output of a prediction + filter is subtracted to create a residual signal. The residual + signal is multiplied by the inverse quantized quantization gain from + + + +Valin, et al. Expires May 3, 2012 [Page 141] + +Internet-Draft Interactive Audio Codec October 2011 + + + the noise shaping analysis, and input to a scalar quantizer. The + quantization indices of the scalar quantizer represent a signal of + pulses that is input to the pyramid range encoder. The scalar + quantizer also outputs a quantization signal, which is multiplied by + the quantized quantization gain from the noise shaping analysis to + create an excitation signal. The output of the prediction filter is + added to the excitation signal to form the quantized output signal + y(n). The quantized output signal y(n) is input to the synthesis + shaping and prediction filters. + + Optionally the noise shaping quantizer operates in a delayed decision + mode. In this mode it uses a Viterbi algorithm to keep track of + multiple rounding choices in the quantizer and select the best one + after a delay of 32 samples. This improves the rate/distortion + performance of the quantizer. + +5.2.3.9. Constant Bitrate Mode + + SILK was designed to run in Variable Bitrate (VBR) mode. However the + reference implementation also has a Constant Bitrate (CBR) mode for + SILK. In CBR mode SILK will attempt to encode each packet with no + more than the allowed number of bits. The Opus wrapper code then + pads the bitstream if any unused bits are left in SILK mode, or + encodes the high band with the remaining number of bits in Hybrid + mode. If SILK is unable to encode the packet with less than the + allowed number of bits, the Opus encoder temporarily codes the signal + in CELT mode instead. The number of payload bits is adjusted by + changing the quantization gains and the rate/distortion tradeoff in + the noise shaping quantizer, in an iterateve loop around the noise + shaping quantizer and entropy coding. Compared to the SILK VBR mode, + the CBR mode has lower audio quality at a given average bitrate, and + also has higher computational complexity. + +5.3. CELT Encoder + + Most of the aspects of the CELT encoder can be directly derived from + the description of the decoder. For example, the filters and + rotations in the encoder are simply the inverse of the operation + performed by the decoder. Similarly, the quantizers generally + optimize for the mean square error (because noise shaping is part of + the bit-stream itself), so no special search is required. For this + reason, only the less straightforward aspects of the encoder are + described here. + +5.3.1. Pitch Prefilter + + The pitch prefilter is applied after the pre-emphasis. It is applied + in such a way as to be the inverse of the decoder's post-filter. The + + + +Valin, et al. Expires May 3, 2012 [Page 142] + +Internet-Draft Interactive Audio Codec October 2011 + + + main non-obvious aspect of the prefilter is the selection of the + pitch period. The pitch search should be optimised for the following + criteria: + + o continuity: it is important that the pitch period does not change + abruptly between frames; and + + o avoidance of pitch multiples: when the period used is a multiple + of the real period (lower frequency fundamental), the post-filter + loses most of its ability to reduce noise + +5.3.2. Bands and Normalization + + The MDCT output is divided into bands that are designed to match the + ear's critical bands for the smallest (2.5 ms) frame size. The + larger frame sizes use integer multiples of the 2.5 ms layout. For + each band, the encoder computes the energy that will later be + encoded. Each band is then normalized by the square root of the + *unquantized* energy, such that each band now forms a unit vector X. + The energy and the normalization are computed by + compute_band_energies() and normalise_bands() (bands.c), + respectively. + +5.3.3. Energy Envelope Quantization + + Energy quantization (both coarse and fine) can be easily understood + from the decoding process. For all useful bitrates, the coarse + quantizer always chooses the quantized log energy value that + minimizes the error for each band. Only at very low rate does the + encoder allow larger errors to minimize the rate and avoid using more + bits than are available. When the avaialble CPU requirements allow + it, it is best to try encoding the coarse energy both with and + without inter-frame prediction such that the best prediction mode can + be selected. The optimal mode depends on the coding rate, the + available bit-rate, and the current rate of packet loss. + + The fine energy quantizer always chooses the quantized log energy + value that minimizes the error for each band because the rate of the + fine quantization depends only on the bit allocation and not on the + values that are coded. + +5.3.4. Bit allocation + + The encoder must use exactly the same bit allocation process as used + by the decoder and described in Section 4.3.3. The three mechanisms + that can be used by the encoder to adjust the bit-rate on a frame-by- + frame basis are band boost, allocation trim, and band skipping. + + + + +Valin, et al. Expires May 3, 2012 [Page 143] + +Internet-Draft Interactive Audio Codec October 2011 + + +5.3.4.1. Band boost + + The reference encoder makes a decision to boost a band when the + energy of that band is significantly higher than that of the + neighboring bands. Let E_j be the log-energy of band j, we define + + D_j = 2*E_j - E_j-1 - E_j+1 + + The allocation of band j is boosted once if D_j > t1 and twice if D_j + > t2. For LM>=1, t1=2 and t2=4, while for LM<1, t1=3 and t2=5. + +5.3.4.2. Allocation trim + + The allocation trim is a value between 0 and 10 (inclusively) that + controls the allocation balance between the low and high frequencies. + The encoder starts with a safe "default" of 5 and deviates from that + default in two different ways. First the trim can deviate by +/- 2 + depending on the spectral tilt of the input signal. For signals with + more low frequencies, the trim is increased by up to 2, while for + signals with more high frequencies, the trim is decreased by up to 2. + For stereo inputs, the trim value can be decreased by up to 4 when + the inter-channel correlation at low frequency (first 8 bands) is + high. + +5.3.4.3. Band skipping + + The encoder uses band skipping to ensure that the shape of the bands + is only coded if there is at least 1/2 bit per sample available for + the PVQ. If not, then no bit is allocated and folding is used + instead. To ensure continuity in the allocation, some amount of + hysteresis is added to the process, such that a band that received + PVQ bits in the previous frame only needs 7/16 bit/sample to be coded + for the current frame, while a band that did not receive PVQ bits in + the previous frames needs at least 9/16 bit/sample to be coded. + +5.3.5. Stereo decisions + + Because CELT applies mid-side stereo coupling in the normalized + domain, it does not suffer from important stereo image problems even + when the two channels are completely uncorrelated. For this reason + it is always safe to use stereo coupling on any audio frame. That + being said, there are some frames for which dual (independent) stereo + is still more efficient. This decision is made by comparing the + estimated entropy with and without coupling over the first 13 bands, + taking into account the fact that all bands with more than two MDCT + bins require one extra degree of freedom when coded in mid-side. Let + L1_ms and L1_lr be the L1-norm of the mid-side vector and the L1-norm + of the left-right vector, respectively. The decision to use mid-side + + + +Valin, et al. Expires May 3, 2012 [Page 144] + +Internet-Draft Interactive Audio Codec October 2011 + + + is made if and only if + + L1_ms L1_lr + -------- < ----- + bins + E bins + + where bins is the number of MDCT bins in the first 13 bands and extra + is the number of extra degrees of freedom for mid-side coding. For + LM>1, E=13, otherwise E=5. + + The reference encoder decides on the intensity stereo threshold based + on the bitrate alone. After taking into account the frame size by + subtracting 80 bits per frame for coarse energy, the first band using + intensity coding is as follows: + + +----------------+------------+ + | bitrate (kb/s) | start band | + +----------------+------------+ + | <35 | 8 | + | | | + | 35-50 | 12 | + | | | + | 50-68 | 16 | + | | | + | 84-84 | 18 | + | | | + | 84-102 | 19 | + | | | + | 102-130 | 20 | + | | | + | >130 | disabled | + +----------------+------------+ + + Thresholds for intensity stereo + + Table 63 + +5.3.6. Time-Frequency Decision + + The choice of time-frequency resolution used in Section 4.3.4.5 is + based on rate-distortion (RD) optimization. The distortion is the + L1-norm (sum of absolute values) of each band after each TF + resolution under consideration. The L1 norm is used because it + represents the entropy for a Laplacian source. The number of bits + required to code a change in TF resolution between two bands is + higher than the cost of having those two bands use the same + resolution, which is what requires the RD optimization. The optimal + decision is computed using the Viterbi algorithm. See tf_analysis() + + + +Valin, et al. Expires May 3, 2012 [Page 145] + +Internet-Draft Interactive Audio Codec October 2011 + + + in celt/celt.c. + +5.3.7. Spreading Values Decision + + The choice of the spreading value in Table 56 has an impact on the + nature of the coding noise introduced by CELT. The larger the f_r + value, the lower the impact of the rotation, and the more tonal the + coding noise. The more tonal the signal, the more tonal the noise + should be, so the CELT encoder determines the optimal value for f_r + by estimating how tonal the signal is. The tonality estimate is + based on discrete pdf (4-bin histogram) of each band. Bands that + have a large number of small values are considered more tonal and a + decision is made by combining all bands with more than 8 samples. + See spreading_decision() in celt/bands.c. + +5.3.8. Spherical Vector Quantization + + CELT uses a Pyramid Vector Quantization (PVQ) [PVQ] codebook for + quantizing the details of the spectrum in each band that have not + been predicted by the pitch predictor. The PVQ codebook consists of + all sums of K signed pulses in a vector of N samples, where two + pulses at the same position are required to have the same sign. Thus + the codebook includes all integer codevectors y of N dimensions that + satisfy sum(abs(y(j))) = K. + + In bands where there are sufficient bits allocated the PVQ is used to + encode the unit vector that results from the normalization in + Section 5.3.2 directly. Given a PVQ codevector y, the unit vector X + is obtained as X = y/||y||, where ||.|| denotes the L2 norm. + +5.3.8.1. PVQ Search + + The search for the best codevector y is performed by alg_quant() + (vq.c). There are several possible approaches to the search, with a + trade-off between quality and complexity. The method used in the + reference implementation computes an initial codeword y1 by + projecting the normalized spectrum X onto the codebook pyramid of K-1 + pulses: + + y0 = truncate_towards_zero( (K-1) * X / sum(abs(X))) + + Depending on N, K and the input data, the initial codeword y0 may + contain from 0 to K-1 non-zero values. All the remaining pulses, + with the exception of the last one, are found iteratively with a + greedy search that minimizes the normalized correlation between y and + X: + + T + + + +Valin, et al. Expires May 3, 2012 [Page 146] + +Internet-Draft Interactive Audio Codec October 2011 + + + J = -X * y / ||y|| + + The search described above is considered to be a good trade-off + between quality and computational cost. However, there are other + possible ways to search the PVQ codebook and the implementers MAY use + any other search methods. See alg_quant() in celt/vq.c. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 147] + +Internet-Draft Interactive Audio Codec October 2011 + + +6. Conformance + + It is the intention to allow the greatest possible choice of freedom + in implementing the specification. For this reason, outside of a few + exceptions noted in this section, conformance is defined through the + reference implementation of the decoder provided in Appendix A. + Although this document includes an English description of the codec, + should the description contradict the source code of the reference + implementation, the latter shall take precedence. + + Compliance with this specification means that a decoder's output MUST + be within the thresholds specified by the opus_compare.c tool + (included with the code) when compared to the reference + implementation for each of the test vectors provided (see + Appendix A.4). Either the floating-point implementation or the + fixed-point implementation can be used as a reference and being + within the threshold for one of the two is sufficient. In addition, + a compilant decoder implementation MUST have the same final range + decoder state as that of the reference decoder. + +6.1. Testing + + Using the reference code provided in Appendix A, a mono test vector + can be decoded with + + opus_demo -d 48000 1 test_mono.bit test_mono.out + + If the range decoder state is incorrect for one of the frames, the + decoder will exit with "Error: Range coder state mismatch between + encoder and decoder". If the decoder succeeds, then the output can + be compared with the "reference" output with + + opus_compare test_mono.float test_mono.out + + or + + opus_compare test_mono.fixed test_mono.out + + For a stereo test vector, the command line for decoding is + + opus_demo -d 48000 2 test_stereo.bin test_stereo.out + + and the output can be compared with the reference output with + + opus_compare -s test_stereo.float test_stereo.out + + or + + + + +Valin, et al. Expires May 3, 2012 [Page 148] + +Internet-Draft Interactive Audio Codec October 2011 + + + opus_compare -s test_stereo.fixed test_stereo.out + + On POSIX environments, the run_vectors.sh script can be used to + verify all test vectors. This can be done with + + run_vectors.sh + + where is the directory where the opus_demo and + opus_compare executables are built and is the directory + containing the test vectors. + +6.2. Opus Custom + + To complement the Opus specification, the "Opus Custom" codec is + defined to handle special sample rates and frame rates that are not + supported by the main Opus specification. Use of Opus Custom is + discouraged for all but very special applications for which a frame + size different from 2.5, 5, 10, or 20 ms is needed (for either + complexity or latency reasons). Such applications will not be + compatible with the "main" Opus codec. In Opus Custom operation, + only the CELT layer is available, which is available using the celt_* + function calls in celt.h. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 149] + +Internet-Draft Interactive Audio Codec October 2011 + + +7. Security Considerations + + Implementations of the Opus codec need to take appropriate security + considerations into account, as outlined in [DOS] and [SECGUIDE]. It + is extremely important for the decoder to be robust against malicious + payloads. Malicious payloads must not cause the decoder to overrun + its allocated memory or to take an excessive amount of resources to + decode. Although problems in encoders are typically rarer, the same + applies to the encoder. Malicious audio streams must not cause the + encoder to misbehave because this would allow an attacker to attack + transcoding gateways. + + The reference implementation contains no known buffer overflow or + cases where a specially crafted packet or audio segment could cause a + significant increase in CPU load. However, on certain CPU + architectures where denormalized floating-point operations are much + slower than normal floating-point operations, it is possible for some + audio content (e.g., silence or near-silence) to cause a certain an + increase in CPU load. Denormals can be introduced by reordering + operations in the compiler and depend on the target architecture, so + it is difficult to guarantee that an implementation avoids them. For + architectures on which denormals are problematic, adding very small + floating-point offsets to the affected signals to prevent significant + numbers of denormalized operations is RECOMMENDED. Alternatively, it + is often possible to configure the hardware to treat denormals as + zero (DAZ). No such issue exists for the fixed-point reference + implementation. + + The reference implementation was validated in the following + conditions: + + 1. Sending the decoder valid packets generated by the reference + encoder and verifying that the decoder's final range coder state + matches that of the encoder. + + 2. Sending the decoder packets generated by the reference encoder + and then subjected to random corruption. + + 3. Sending the decoder random packets. + + 4. Sending the decoder packets generated by a version of the + reference encoder modified to make random coding decisions + (internal fuzzing), including mode switching, and verifying that + the range coder final states match. + + In all of the conditions above, both the encoder and the decoder were + run inside the Valgrind [5] memory debugger, which tracks reads and + writes to invalid memory regions as well as the use of uninitialized + + + +Valin, et al. Expires May 3, 2012 [Page 150] + +Internet-Draft Interactive Audio Codec October 2011 + + + memory. There were no errors reported on any of the tested + conditions. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 151] + +Internet-Draft Interactive Audio Codec October 2011 + + +8. IANA Considerations + + This document has no actions for IANA. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 152] + +Internet-Draft Interactive Audio Codec October 2011 + + +9. Acknowledgements + + Thanks to all other developers, including Raymond Chen, Soeren Skak + Jensen, Gregory Maxwell, Christopher Montgomery, and Karsten Vandborg + Soerensen. We would also like to thank Igor Dyakonov, Jan Skoglund, + and Christian Hoene for their help with subjective testing of the + Opus codec. Thanks to Ralph Giles, John Ridges, Ben Schwartz, Keith + Yan, Christian Hoene, Kat Walsh, and many others on the Opus and CELT + mailing lists for their bug reports and feedback. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 153] + +Internet-Draft Interactive Audio Codec October 2011 + + +10. References + +10.1. Normative References + + [rfc2119] Bradner, S., "Key words for use in RFCs to Indicate + Requirement Levels", RFC 2119. + +10.2. Informative References + + [requirements] + Valin, J., Vos, K., and IETF, "Requirements for an + Internet Audio Codec", RFC 6366, August 2011. + + [SILK] Vos, K., Jensen, S., and K. Soerensen, "SILK Speech + Codec", draft-vos-silk-01 (work in progress), March 2010. + + [laroia-icassp] + Laroia, R., Phamdo, N., and N. Farvardin, "Robust and + Efficient Quantization of Speech LSP Parameters Using + Structured Vector Quantization", ICASSP-1991, Proc. IEEE + Int. Conf. Acoust., Speech, Signal Processing, pp. 641- + 644, October 1991. + + [CELT] Valin, J-M., Terriberry, T.B., Maxwell, G., and C. + Montgomery, "Constrained-Energy Lapped Transform (CELT) + Codec", draft-valin-celt-codec-02 (work in progress), + July 2010. + + [SRTP-VBR] + Perkins, C. and J. Valin, "Guidelines for the use of + Variable Bit Rate Audio with Secure RTP", + draft-ietf-avtcore-srtp-vbr-audio-03 (work in progress), + July 2011. + + [DOS] Handley, M., Rescorla, E., and IAB, "Internet Denial-of- + Service Considerations", RFC 4732, December 2006. + + [SECGUIDE] + Rescorla, E. and B. Korver, "Guidelines for Writing RFC + Text on Security Considerations", BCP 72, RFC 3552, + July 2003. + + [range-coding] + Nigel, G. and N. Martin, "Range encoding: An algorithm for + removing redundancy from a digitised message", Proc. + Institution of Electronic and Radio Engineers + International Conference on Video and Data Recording , + 1979. + + + +Valin, et al. Expires May 3, 2012 [Page 154] + +Internet-Draft Interactive Audio Codec October 2011 + + + [coding-thesis] + Pasco, R., "Source coding algorithms for fast data + compression", Ph.D. thesis Dept. of Electrical + Engineering, Stanford University, May 1976. + + [PVQ] Fischer, T., "A Pyramid Vector Quantizer", IEEE Trans. on + Information Theory, Vol. 32 pp. 568-583, July 1986. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 155] + +Internet-Draft Interactive Audio Codec October 2011 + + +URIs + + [1] + + [2] + + [3] + + [4] + + [5] + + [6] + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 156] + +Internet-Draft Interactive Audio Codec October 2011 + + +Appendix A. Reference Implementation + + This appendix contains the complete source code for the reference + implementation of the Opus codec written in C. By default, this + implementation relies on floating-point arithmetic, but it can be + compiled to use only fixed-point arithmetic by defining the + FIXED_POINT macro. Information on building and using the reference + implementation is available in the README file. + + The implementation can be compiled with either a C89 or a C99 + compiler. It is reasonably optimized for most platforms such that + only architecture-specific optimizations are likely to be useful. + The FFT used is a slightly modified version of the KISS-FFT library, + but it is easy to substitute any other FFT library. + + While the reference implementation does not rely on any _undefined + behavior_ as defined by C89 or C99, it relies on common + _implementation-defined behavior_ for two's complement architectures: + + o Right shifts of negative values are consistent with two's + complement arithmetic, so that a>>b is equivalent to + floor(a/(2^b)) + + o For conversion to a signed integer of N bits, the value is reduced + modulo 2^N to be within range of the type + + o The result of integer division of a negative values is truncated + towards zero + + o The compiler provides a 64-bit integer type (a C99 requirement + which is supported by most c89 compilers) + + In its current form, the reference implementation also requires the + following architectural characteristics to obtain acceptable + performance: + + o two's complement arithmetic + + o at least a 16 bit by 16 bit integer multiplier (32-bit result) + + o at least a 32-bit adder/accumulator + +A.1. Extracting the source + + The complete source code can be extracted from this draft, by running + the following command line: + + + + + +Valin, et al. Expires May 3, 2012 [Page 157] + +Internet-Draft Interactive Audio Codec October 2011 + + + o cat draft-ietf-codec-opus.txt | grep '^\ \ \ ###' | sed -e + 's/\s\s\s###//' | base64 -d > opus_source.tar.gz + + o tar xzvf opus_source.tar.gz + + o cd opus_source + + o make + + On systems where the base64 utility is not present, the following + commands can be used instead: + + o cat draft-ietf-codec-opus.txt | grep '^\ \ \ ###' | sed -e + 's/\s\s\s###//' > opus.b64 + + o openssl base64 -d -in opus.b64 > opus_source.tar.gz + +A.2. Development Versions + + The current development version of the source code is available in a + Git repository [6]. Development snapshots are provided at + . + +A.3. 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Expires May 3, 2012 [Page 160] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###xdmyqYI4xM42MjxYV7PLbxmTy66zPTE2SupZwhKzhigN9xVsMo/O7euJh1vq0nXc + ###c35QHSMDk2lxrrWi8sZBRKzapmHbgPUnx330N2UuiY8eWLICG2xEHjDxihYKbn46 + ###5R8wAevjqIiPU+9Xnc0yjqxCpIi0sFTbceFBLX4gzuQfrmPJxdSEjuWvsz5JxwRW + ###0Zcpdjr75HD7dSxmzfsnqtsWkrcvLT8tHt9Qv4zWvaIkEzdCH/F/8LehPLPhk5PX + ###bSaPeKLYvZbAlg5wRBx5S5fUMsHlAV3+h70372vjShaG79/+FB3f32S0grq1AAYx + ###l9XhCYsDOHEeX1+9LakFHbS5WzIwEz+f/a3lrN2tBYyd5A4kBqn7rHXq1KmqU0tC + ###SF9fooot3LMsv6CKLbezmC6rJLmVeVtnF8rfhl049Ah+y28JazmsHZF5M5e9IeZQ + ###XclGLoMeqV4X74tHzTuFhta2WHLey+0KOd3kLnjMDrAp47/55viKWyJ7OzxkKyTQ + ###AS+TyOwzQ3lqn8i+c038F4n510F/nKKyZEAETGmHrSCXxx6h452DRKZ2OesFqYcX + ###w12oiHHSy8Ocu7AAbt9KPpTbk3Qn1qNJkhruAMe4mM48eFKv05NKX7XOoSrzyQrK + ###1UO6S9E3LRoZxLi0NhMYNbximpB9kjBkkzcsdnYBZTH0ENRKXRy9iUYd9HARwEct + ###VThA4R0XhEWbxGXVzPb4KufQ/wRtgIgzuQaOdYhti+GPImiDIyBL/dZc7HScHeNy + ###6oGUwRiYhaoZxjiPxVcra4CNr0YvyyHto+f6esZcZxgeLTgc1YQnFJxLRlYb9aT4 + ###ThJD+14AZRJGQiNq0EahOv04BYHeLMyyuLA7ZylGXdinI/hxKyyw3ITjMWoDhjog + ###PzptTFR08ECujohEBwgn9U+TcBAAAyOdjSTi4TC48IpzKBsF2Rm1yRQrEEOmccN4 + ###Api3pCpUgoj2Bjgds5k97FzeHXISePWyohDgUg+VNcHSBYL2B8V2Qxjj8dJF2HbE + ###fsTwwqIeMCft6UTpviVQcdNjQwoe2A5qGj6R1wDOLxksYpR4UqIGP0EX4rX4WEKr + ###y+ATLFg3GAdDWoUkgWMSZglRjA875n34MAi6WhGE+pFgGAttD18wo1DLkECTBGgI + ###3QxQ6UGNoSaxLNeDt8jKMhtLR4jrj0Y3/nXgqzj+y28xZUVjbbCUbc1jeU9Uy1LQ + ###wrnxBcV0hyMg/pINGaH6SqCncRmv1EhJ8pNNag8P9pxe378qkU4ojLGpbp7jDRL7 + ###sTzh1VZpFt1NG6stILuZJHc5OCWpse57OWIsobE8emRMOttC77EIEtyN2ULcDPsJ + ###9KqD+/dKbIQf8No0kmc/O+MIMyogh1doHA6kDfCFtIrUBDwLyYFA6ecTaiimlqxe + ###wkEMeQWUMcsE9uJViPQhcd+Hzffx9O/4ccBk64r4lkhWpqanQyRgWHhlOVQ9tmcu + ###u+M7ZrwDNS9BH3DhlbR0tLB3lhnkY1mH7FVM4m2y1+Ww92sAKMsU1ML05QH0IIKI + ###PmkjtAuYok0Z3RkMwjj+qrRw//LdU9FCaMpCI8PS9Quo32ygJBEI+luS/ZSTXh4d + ###zLm9XjQ3uei2n4QyXDHMUWD69DlhsELNGfkdTKsV+iwYpBcpC5bzIJZbke/uOaoq + ###4AYwqcHHaQjkUshYPrqVxNf9eyMLRFck1TIunZQ1HCnhu6yUj28xDznyJkZeAQ4I + ###TtwoslCMOWQbAfufhoB/FZdJjBoQU/bG7JFVIbp6xpiUg95SA3i7RnSXeFtZe8md + ###nLTuTfD9PRLQRODZnoYaHkFouzC+d7JvJ9hlfxKwGcN4Go1HcRCXFONr8v92fFsN + ###T832+r0JMcmC2RPRqqmxnLpCHI6YBRfuTcQAQ6Oj3uQW7zPb06s4Pwf9TVtasQ0O + ###zCny8HQDS6nwtVm0rb9Pm0uXZpj+pkQxSnAvF6OPERCkdSZdsZbw5lAFi07LYWpt + ###MII1LMqkPGaRn0DbvwKpfHI9IG+uMJImKILSUNe8hsHK1QojHOI3o/oqhbgg61YK + ###Ya0GyHe/6NmGZghkyNglQYIvOalBnpYsI6wThzrYdYnFRID0CFGMw1MLJdy8FbUW + ###lDuBwzAcdXHP1NYd1EzmYCgVHAx2rWCXf9hak0G7fQiaJu7LStqZlF6p3oVVtZZw + ###Cb5ZqmpL8fkVtfHZmvgHauGzDoF+2A6HvRFfvcOXCGVXfBINWEpUHnJpIg98BMir + ###E3RrZ286I9Q/dI2k/XoK4jkK7l3iDdA/XRDNJEvAdW22gP1ZWU3B5WW8dH7DzfGI + ###CCjC041j/3PIfw61AbsHa2CUfO4pFbIdo0LiHKQwnhqq7Ppnq8ASnWOEdtFqiyux + ###/8OmXpMMz9/POuyMHTlceRL/L42N8u/wMyv+y9NE/uaf+fFf6m7DbVD871q9Uql6 + ###UM5FZ7Tn+C/f4uc5/stz/Jfn+C/P8V+e47/88fFfHhD3ZefNUUbEl0SklzkRXhLP + ###VeCZh8V+oeEOgByOUdGII37h0EOU+NmEllQupDsTUfbohhm9TX2+aBOXzEiP2NvQ + ###VGg5QNdYAjqiqCkBp9w8mlhNiivGo4PLQ8xoDR3+MopukKa9JsmCPS47o2g8isjx + ###ZAI9Dkf90dW90KoU+FwD+eri6PhHMWqsJs9AeLN3cHypLjsXzRJEjmuo38dokrd4 + ###D8nqV7q70HPnCZteoyVsl9cGx08ujAyEozclx/Y3pUyU4bB8hcI2cPmTEg2ZLuui + ###YICa0T72Qg5/2C6ckCRNAT7FKwhEVBHEHb8vMp3DQYBa/DKp8eHAiUa3dM8ilogv + ###Be/JO0vr8AvSdpS6wWbxIhROkF7gT0izS0YIhCr90E47KlyA1rFpFs1lsV0xDFGi + ###4dy0V2On7lbog2qM7R3YwRVOJRUOSU8jt7d7nie4oGcyiX763c/wTra1Q2vRVmIx + ###9WsAAYbYm/b7ZbZoSvdv4LECeLIMmsWKPO0IMlmEgkSTk4+YrrdSdzhJfKMCH2S5 + ###16NRV1zbjNrABZBxBTZnXicACDqB3ye7kdyb4z01wUPM6kbKOcwmR/V64V3QLfN3 + + + +Valin, et al. Expires May 3, 2012 [Page 161] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###m8AIDN+3jv+Yr9fiV7JJkER7juU/mHiutLLGc2BdaLioYbBeCAXAiwwfdqMP3nEH + ###KYdF+ngRIq2kEmRLQyo8NJymHVrSCheCgzR9QVsCcV9GpjWkGRtaN2CsBLYUa13U + ###w2KlV1oyxwr0yQprSmL+Jj3HoamkxNDBprzHd5oJHTfn8sWcqjorqmVx8r3UHlDP + ###5P/f1epKYdQQxrzcJRgbdZPUCipowHPh7c024GZgJqUJhcOJ+U/4a4bQ6cmAXOSi + ###gIARqcwE/x0jgqP2cAWWaBD2/Qj9IpLXjKwPTncRBWVTIU/D9jvXrCfUepFfrlUg + ###tQQU8yppbmwmEheGJBPUoWKqC+BlR8qtnXX1IzMh9BgG4icyki9cfNzWm4/ACUrc + ###l0AKlWFPokTexJ8BjS2HBeRz0k0lGqGcv/Cl5MxErllIxQECsoeUdyIjJSerk8mo + ###75+BAraFTyvO6YidWvhepDeleF9CPxWzxjuMheiFJiPXdIZORFbDEshmeAeA9wEi + ###l5++Shj4XRKLpkDYJrYJjp1XHMlE/9a/J8Ip79Tg9BJoQnZCdK0IjZMdNIlZWC2e + ###9kAADdW1zki8AbJLynJooTO+z+W1WpnZFjNugphSPBqo6xatDxbeTXi9olxDE9dg + ###ubzELI7esYLJzLFkHOjqMmaa9JwW16IR0ObBgG0TSQdMAJ3oIFnisok8B8VIxWXX + ###MEDCCRLpigiVx77aAzojRK9IBHDVbn2+XBNTlRaJiS2TmhghaMobVdgY5AWCLqhl + ###ODZrh+sl6wqDUDaLJL45P3dX6Dn50ZW2hYgzfFOdHLAweV3YcAanQ4ttQYkRcBFy + ###6NbNO8/FAmxccWv7xxOionN9bDrQ6z6MeWCZICQRPsNWXYLAMDCmm5tM62I+c4OA + ###z28z/AAOhx6aV7t0C6U845RWgjTvAQXuIIWNOKJiztUp7AhXnBPEMqOsXUzip0jV + ###ylej04jvDw23JiYDIzFYuvKlyyYDHYCUiaB84oFIAZznc8m4+EWOQXrXap/HHLBv + ###JQf+x4Xz4F+tgg0SK5cnw0I6Z/Hu8lViG/Rhc1nkmrGSKrTESM2suMxJldBlo8Wf + ###FyKpszXtb/OHfrhttCxxR4+OrrBVlHu6NePUwL1s+OS3VqFJ1bYeqGy6K734BK0T + ###/Q6VwWQOd4k4khKtCR5XtIS+yUBLIiAwsEPYCH+SEQQTI8OwgtJuTQNMtii9XpL+ + ###zyZKiqbkPaVoIOd6aw3pLR2bdNWcwqoAe5L45Fg6scCJYFEHKrvAJkbF4Q4B7eSQ + ###BFHnIWmLcNEEk5St9raYiEyJvbXa3lahCkRmaTFlX8TbotCYow65EnbVNa/ZLh9B + ###MVAnHFvJMO9l+HRHAV/yogWoMLwQQj6pa3P7l+/yenOeDYVWM3FQU4pkDOWPTurQ + ###El4ph2ppRMZbsSsXnTAyPy58n7VhjqzjmC6qmZsU+z7NU+VNk9VsPrQkLUCGxLlw + ###1mjCGcEu+TEqC4j2j4E7GiLr2edwp5IHEJwJLRKOCuR5QgVqWrOnpGdBlb7P8Saw + ###CZqv5sbuaNex9lhxKUL2IhnK5tcM0wJglfxwGKstR/RcWY2IXNO2J6tifkKe9JDt + ###iQMhioplxFH20QBjHCoX5rT9D0GzlFoBHr7K0sGxe03u2vi8+SI7r3OKr8U3Brst + ###1F4CSjtKrGAdkxQVYkN+VNCjHRnJkKUwUWngQoGpXgmRm07NbF8NtLOMAUpwCM2x + ###v8TlJZMLbM1xxNHPCp9geE3aH1o42124zYqdMpkd9ML+hN32hbYDJZbBGEhB+E9C + ###JlIjTXja134EnF/YgS7OxhwQCJYQkU8oGWOZOV20NDN/OtvtYyxkx79CBJuYqo0V + ###kakwjEU75GFF2Hw/JrMhDMqWCOG6K4JeKO6aAIA6jZKcFwIP4EhqLQHE2AjEQlxs + ###jFdghlGWckQgGK7MXTv2i1l+8WQUOLrFGZY5DphYRWCabgKpapPg0IDg2F6kg0LV + ###jmglR49XqaE8bV6cvg4Jx3pDK3idNgdCG17RDtE1l1RTnK9dmfPPB0BWyLSOtvwE + ###ZrYsXBZwHiwQUofC+lJksicFWyKeGx7FwZ2QLUgN18cbMMA/oKZT9PG2xvcwd/rM + ###HlFRBDKWUE3wQeTkKEgdKZB8uvTKc2A5Ylcdsio5jLPj9VgKUVYQG7sy98M/88mW + ###JDVKmKhoPwdVIOeuenkEkdlmsjnTt8VucU+TJyc3my6tzkH7Ge8yMMKaJtksWXY4 + ###0m6JJQ0VaJ4qkRHwObA0UZcszsVejy3IIooLLkrBh70zkZGYSFW+ockk7TiZdbJx + ###KApdkdTZJ7TFIzNwjmpfxPRQcUsKqkfiOkfIz9wKrSIpnzDUlUDAkM7L2O+RokDo + ###KBDNhA2b0LqrqIs4PziGLaZFYq6l91x5kbQTshRQWXwLXncZ2apQcUSPzLNRPzG1 + ###lOphgdbshTR2OjKPSjKPxaih/XuDgUkrHy8190NKTcFNAnWeKNFMaoeUwSC+zzzZ + ###bRNW5aZJQqodxxO5YxH/KwSg3g7lKOkqCxbCp1A1rH+bz7QACzhDfSYFU4yEN7Fh + ###krJGlqNJm/TuXR6bTlG8wwEyuIuMZdYGrykF7xORrKemWY8jWtn0agapWpJKCQs8 + ###EH0Y/Gc/OhfTDt0kYFaLJH1KbrYUp0myA+0Tax/Gk9Kjt53aZtxarDhyrTGnzSRS + ###RBiCOm0jaUTZU/dSSQ0uaidNJOAmD1Exz0JFia1tkVAJz0oh7BkBp1zUjXg1VJCs + ###V0jJtNEQsRzf+GyfTLFpTK0B0XfmQyrAhuSgplIeyB7zdEJTO8Lu3iKKxLpplSp6 + ###h6CUq2M0xU+3g8adgbWF3Iasd2RtGVLg9gMfva7h0PC0xLEioq8hjdLrVJDvC/ht + ###1MvpDtJ7z1jeWbtPgnBM8PEHqV1tNUqnM6lXsD20L1Wxb5hjFvb6Tk4l7UN9C9Zo + ###sfoCxfj0QBOF7MHuJC5eCCVFR5t4Gff3CZHFZJxFM2iYspwVMJX+spwuRYwZFbbY + ###f/4x23nORmZrXEOfVgDs0NvXUOvRMystoVPAMerCNqTmb3dG+J59+yvFlmdC8G0J + + + +Valin, et al. Expires May 3, 2012 [Page 162] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###AS3DV6IB1Pbz9v8jt7/QhC8iAqxFf/r9fxgFevfLvjVHneSEmSVNRXubjeMXhusc + ###ZWBaSUMEHQqyla0JgMhBv2GrJJGxQTp5OGRumqFHJM7auGpagsPC273kalApkcKq + ###5KysrJhOEGnjE+myRuPZT/kaWhfMyp9PGpiQaJdtZeKYfosLjUyWNDAR4wOkCYQx + ###AZqnNWWOuTkGJjNtSoz7I7IliuW1SVrIlpLYegU9jSmsM/xp0B+vRn9gZ9XwtWpP + ###S8xx4rrDkAuwmpdXdUT6NFTGXI/6bM1suf2Q57nDwWj6aFqQk/eYwLLjVTVz7brF + ###5MUGX8cOg1vUSAvdv+27yFtBmcDIlVfoYJikJOD+tU1SvswcJY1BpjmKnMoscxTG + ###tgXmKLIREn/IOMtExZkoOGMEy1ifWEv3R1mf2PjzLa1PLkei88SlNz80Lr35wdxL + ###b1/q5UkPrK5cZ19sG0yItf58vy2vseFcLknvVr7UNrAnmxypzTvzflhcVkk2L3FD + ###rOrj1buoTFf6qStX0Y52U+UeVQPSK1fedVspVJa7TrchrwmThIRxV/3Au3R9jd2j + ###exlxXSwGKQwACF72HbVCDnVHLcc4745aDSFvjUH7LcuAS8ZtNd23+kZeB3lHLS6U + ###0/fReB2tzkp6IhWuGhd06kvlfcwrQn2K8PpCFxsPKP7QSB8n1hquvHhhXY7a5OTB + ###l6Oi+pNdjtrnSylFY2deju4brI34nPRIJdzTY99XMxdJOtNy0tL6Ppsxx47mMHQp + ###sp9xOTvvTjZrzf4CCs/ZtyGPUUBa53sWa/IwtePDFfuZG0fukMV6/CQSfC09/pJ7 + ###Sw7j2+jvxcLJ9d//a+HzU6jNLb5RCdoKoZdUmyt83Rcskakxe+wCpOplKklY6yP0 + ###DXyJ7zunb4+PxaVWxCw+G2OZ9g+p5pFlmbUcKnmH6KiQpiizldNCj7O8ZooafxoV + ###dbZWSkZqHxmxTpwYgEMsj9SkFCiNglYNmnZ9hg4zB0IpmmKS2bXIhoJHrLjTF6d+ + ###ejUF5wPSjQ31w75/5eQqq24el07mxRZWdPfS+GW22YsIJMkTEL2TpR3IFzHmF5Km + ###jHrqBscXazaFbpyBv7sNOL6bYK3U8aphK6uoCJ8P34JzNh9rueZqsJDVtzbqQoU4 + ###PtNLkLGBDVU1CSkJlbeRVul/2d6evbUtdfNX2dWLlc7PG/ovsqGTyusv2tbLqLhn + ###7OjFCmFLdiI2TTxZoBBWfJxQCJszzFIIp5XqskZaqW7ziPOU6gky8zCluuzGVKob + ###01Aw9KNYE0UpD6PYjwpl6a3HW2VFqf1E66xUFd7CrAYbwTdfyKboiE0mnmiwhE4Z + ###FpvdZdHatPeeSjvFZMRy45G2Eic9ltoOcclQy2JsD6ajIuGz/IIzYz2YNMm0dAsL + ###6faZASVeiTECME0y0mRZysZamWQSYvjVmow6qQ4vz/bk6NOVBAVTdd7X1j9QPbz3 + ###8MfxlFN6crF0dXXVR+HZdGV2MNZuZotbEudLa9TroVCTED5NjatSXYykBoav0/Ag + ###TnhLqAs2m5Rp7ZEezYxtzC21aImIXM0nTCZdSpQRy1Oa2QiPBWFIZQiiBEj1iGRg + ###G1AvUiG9DENBrQF6LIamZanMnCKn2nc9Z+XszbBhyswwchJ0Q1gUaqCxdAMqb8gv + ###YTfgyutLV7Yzj1xMgercqmbsjLtz21HpSA6n/T7XtvPqZtQ+Ov155/hoX4SyFbkV + ###bW8iYSaR1CvymgLmqPQLMvnEfARG1YHCjNxMJE5hU1rRqi/uSbf6NBj2YEUC7GyM + ###4JDNoKSG+mdZATGwFgxMaLVnkxNbrTBnYZQ25AnXIw3TlBL1DwblsN2SQ3oUOqs7 + ###jEUAE2fJQ1A4fXIfKyuQ+VA2T8c/BYx5QJkQ5oLvP5TkqbcE8VjmSBIi0oOl5G+6 + ###UFZWhz9opUy1MCyVGJJYq+TVeimT6chawxmmKWYsFefcCqxi2aYIX1CjcCLB9SCI + ###rlD53p+E6BJorE8sA6iioVzfuvWk3CQkDUw4rwCUi+E8mNj1SW7GDKWmTrwdBEPu + ###VYf0hell3E+Z00o9mOXGZ85VXxeJYKep6xCri0K6AdI1pwtG48c0Jm5ZssaixTyr + ###hinrLRpBNgRAOMusnY2A4qwzKIjZg3EEpjtChppCXc3oLqRME1fhkD8Gw25pducD + ###/y6j/9lrrEnjMpBaNI8ZM1hitI8KpvsHBdGlqYv4r3HYvxGf45XBzZP1MT/+a2XN + ###9aoY/7Vedb16o+Zh/FdvrfIc//Vb/GC8u9bF2dvzvYMLp+n89wtEgtW909crHfmF + ###FHSI9LF+hhRRnnX6qVDmwQkapB6y60nyqY7nkXpFavIg/Xw87cfpx1ELBO9Wz37e + ###2nlzpB8Ew/SDzI7E82RH6JHc+jj1hxMTDjD28YgSfamHx29aMthcqzOdjHo9/e70 + ###+OJQAM54ePGT9QUK9LGQfvjmeE9/ia+Dfr+VgP2EPGVbOMjUw+PLN6lnNJC93dbp + ###butkd+bbX9KvKPpr6ilF2m/1/av0GwIjiVft/qhzowv8vLNvYhkZbbc4IokSi3UB + ###gjxOheZorMvPP7V+OfEnrQMDRD8sWgJe48TDn39KPJgOkfynVo8WJ4kKwtqXQGeM + ###jv00W8fnrcmodXKRenFygS+Ozw1IUMR8CQ/21EiB6eL03MRC2I3SSjpVFB8bqLTj + ###4Qj1d3/ot9DfH2F+03L1i3YIM+y2gMUznt0Gd2Mfcza1ql7WY3P/tadX5lfeVIgn + ###5siH0BTGMm6JJH36XT8cev2R0QR88fomeh+/2WvB8Pv3cRi3OGaB/TIcfoLGg27W + ###tmjhWnZGsb263k5iteF4wLyX/0zjSus2QF/zGLA+GoW+gQm0F4Bpa/EW0G9A4iCB + ###IMp41OqObodeqzrzVdaLcRR+AtrT2jmf+xrrtw6PzueVOTo6X1RkOvZaP/yUVSIa + ###DQzMDq8GrZ/cuvEEZCfj23TQij8Cxb4Oe+Zj3hASUSITF8Q7SZmz3vWAjtObsDMZ + ###RanXTD645osXL8xzD6b97mBfn34UFnMVKU0CubCgblgXoxiqrc4k6meVQIES6FMU + + + +Valin, et al. Expires May 3, 2012 [Page 163] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###3mW9NWP+ZL2naSEuz3wHA5j1TlHleHYR3B6dUdDLLDIchTEc/tf+ONDAyCgHrcwG + ###kaSMRLezCkTB1RQ2EWyyFt2i9vkuKbtoHHanfr+FccWu7t3GEoWyisSj/ickAVnv + ###bv0IpFA4iSYjYzhZJfHm6x54o2HQugVgjm4zC4l2st61p9FVi2PZQ48ZBW48f9bj + ###n7Inz2uuFguZsaxinwLcJq3ROBPMced6GjVqM1/xi+Q2Oj7buTS2EV4BZ4Ho2OBG + ###uJC5RdJv7S2Sfq+3yKx3uEVmvDO3yKwixhZJF8k4hDKLZZGT7GImOUmXyN6S6XLG + ###lsx6aW3JdIGZWzKraGK3pYvo3ZZ+N2u3ZZSMAJlAVMh6t0T1xF7LKKCZm0wsnDU7 + ###zcRMO5OsArSJ04/7wSeA/mjYnUbtMHPIKR4mcy2zNnzGGjBWjcb3LbH3Zxaa9542 + ###f9YKR2Lqz5mA/ko/pv6nE/Qnq1+hD1Ly1Ouz9D/4w/qfRtWrw+eK67l17z+c+lcY + ###S+rn31z/k1r/Tx+fMvUT/SzQ/9XrIv8TLHulvlbF9V+rrz3r/77FT0b+p8paGX6t + ###O3sXR+dnaOKSXWAjK0EUFp+TEYqSQFEWKM56gshG3zjnyc907jgkqoWx5d4mmYwX + ###z4mknhNJPSeSek4k9ZxISiWSkjmgfv7JyABFX4w8TwE6xnXs3E/wDFXD1jMOfIOJ + ###oNiZ8ipoR37YcUiNX/5kUWggNey6xy4FdxzKeNz3OzorUzwdAMVQxrmckZfijaIN + ###BtIjSeb5ooAN5EUIRLQIBkqF/u4TtEkOPk6FLxnGxV9RXn9EgKQlMUdGxuIiLixF + ###A6WIAOxAgDbLe2/emiE67zBPOB0wcjLQgZylUEA4OWlyIl90ZbwAM3jlL2jA3gnG + ###GKDbYRWxNIKmeKMclJHCDuUoqvYQw5VOh2iKYbZzmmE8N5GB641yPxrlBAi5O6PM + ###2HlDcBfLl+PgkpRJW55u4+Idx7uYDuEtFzSHgzlGZH7sRGhGtrYBEjbw4xvp3oLz + ###Y5dLuvWJpdc8WWNGQScI0fGEB4xYrO7V/f4VK2tzyI+2CAEK7/iO/ZT//Mh/4jEm + ###tuDPu+xS4DhBB7XElEhF3r8DWf/1lJIi448w4vvk992GgzK1vJHn19qN2MJ8HajF + ###wJl94XSBYwT+BhEiHgPkIsD5nDRZX2JNue0vXFPUgGCmZEZ4v9tly547s3+045KL + ###2A2eeBGd5CpOh1+2jjhaNpNKrBiuEdnKwOaRoBdKi+zOMupTx3w1gMkwJn6ipvHt + ###VzFMKi3axCa0BQcS279mEuSU/DeCr2zs9mRy4AL5r1FZS8p/tXr92f7jm/zY8t8e + ###i3dJuY0Y70MQ2F45JnoQO26cwDmgF/d55+wC5Ahg20V6g75/j3zCjs5sAFTqeuVa + ###iBRcF5uiSDfEPIhQP/E9bLmBcw3EQXr8UBAcNBn8MwmAWIlakgIgcCZfJgFKqQsb + ###e7wE6KWH8e8hAu68vfwBGPJ5Mh62s5yYt4SMh40tFvNmynhY3RTzsqU8MamZ4hzN + ###aK5Et4w4h60skOiWEOdIrJkv0S0hzmErS0h0i8Q5GswSEt0y4hyJ6nMluoXiHImy + ###S0p0ZxfoEoXmqmZuX/Oh5HH33l5cnp3IFy/+03GURNeBTT4aaLL9UpugyjJbuMWG + ###VyvX29YzjHqUfNQP2/hMx0ESt3Kcf4JjvuVXKNrYyLkHkkeBVrr3Q3+AqSnYb5ZJ + ###LUhoUEC5iUJ5LT/aDqM6/BR6yCKnpSAEyHEOmN7i6N3Hx2d7L5Cjhb7CYR/BRYwi + ###22FT7w6FpGuxG1/+BdrIyyhWdsi6z2aqY3R1CtAhm/hCMc0S5p4ASU8fD3ASkGM3 + ###nWUiOUQ4pKPPFxmEcdq5AVF5Tk0CJK/dh3OOKJ5yd8Pz6eo6v2CurYu9853LvR8W + ###zLkVdyIfhYWMuQMHcCHesv89euJiOFUjXVOnH/gYTw8Go6Glm8+GWAo7KAXRV8QN + ###Xt6ZADs8PzjIgpPGqxzDbTyJBGxoxPg1OTfkmRzhyEoxg0QIR2RvYmCbcMjxhLUj + ###lYIDp9tAHm0x+Z4AM1WmJHWUko9M/vDgnD16VGva6b3xSa6L3urQY8kZ5gGtOOof + ###PgXkzMFz/DPMF0S0hgK9yTtFGBSXKlOhvJPPP2J+JebHcOCYo7oPS03OgMEVJ98x + ###Zk9S3TIQmAmAE/hqAwCfpAEwgKE8AQQuQBgeOgHnRCYYdGNS5PwziEAIpHCuFMJ1 + ###grJ2RImE56ze8cHOeWL58BEPX4w8DiZy4JWsQVsjVL4Fr0/f7rVaL/5zHPlXA995 + ###vUee5TFsjDHQ9EkPxWv8m1WCCR6hOawaf+nQH9ETHUbaUcE4echd54+WXp5/vvQn + ###Jf/T+dYfd57wFniB/F9tVGtJ+d9168/y/7f4ybr/3Sh7Fbfy2OvdP5Nk/nw1+6eS + ###y5+vZp+vZv89r2bfHO8ZEjx/My5dgYRe052rLIGGn2fnsEUcrybuOlryZM4ZtxkF + ###fCC9eOXzqucU/A5fVIzVXQlV74VRzi6MjdzJSxfHcdJvh9OB8d58c28855sW+/so + ###6s6oCdyuPbAwNTCcxfyBdWWwMat5rPc0A2OIS8viTLilYJ4uxFbvvBpCShK+1f4V + ###fxjal0mEHd/qNinF/6FyfjSOVzpP18d8/s+tNTwvwf9V19ae+b9v8pPF/3ls/5e8 + ###BHJmWQJ+E1NBiZeWvaAfYTgJeqf0QWRN8MyGPrOhz2zoMxv6zIa+MAKR/LDz80EL + ###JnF49Bq5UX1DRMm4M2+GXiq6SxaBe6PBeIp5yvujUZSLP0aTHPI5+TxvSM6cAlR5 + ###cg20LqRkuGQhgEk7KOTPJIgptBLF3leZjZyqV26HIi1hvGIaEoXYSdVjpnfK8Vqo + ###S1TQq1LtTfPbFX5T+Y3a5GeMj1YLb2OZTTxACoUU+XrEGUmYH7yeTMavVldvb29X + ###/H+G/T5QlcFoeBPcA0c0Gqx+RAfIj9FoNFm5ngz6VIfSEiOhBsLkczIRaB5ZepV6 + ###qO9HVxhCWBDXbngFk21rU0fuO3dVbOcL9NvZatIsRWr2bhejAIukLfGoz+fZ1Qrd + + + +Valin, et al. Expires May 3, 2012 [Page 164] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###x1w1Kzg5nmYzd7DXOjo+e83rUnbz29suvW66b7e2NCy6I7rhcEy40gvHgUZyJrzz + ###V1tbbh5GZdbHyMy5yVZTrQX+XBWb7U3xGV+Um6LsZ/rd3t5uuvyAGyqX8Ru+vMVM + ###WTl+ut2sUM4fcc90hZcvEoXJVbv15gx29YsXBvPdi/xOqxt+kpjCT32LQW+LWx2D + ###O486403zEZSKgnjan5Tg74BekekXDstpClEF4xDk2vmyt0EFfHjx88UP59C1X6KS + ###NHpYX/W8bT4HlsttELpHQSdET0y/L2/WOmOodI7U2m2wQRo8yskH7ZLbyOdLVW6H + ###BwrlL344hj5O3h5fuo1W1UPX+xxUA9zJlzxZdgAF/TIWghJYqOrm5FTbVoPFOS1C + ###O0abtDxci9YI703O9Zxw52Jw4Gh0Fw5k9GD25qBcWu8rK1695Oad3E+wFBgT6ie3 + ###hiFz6dbTWCUGBDZHFnnmCt+l13S4mVzk1AMv+eRersw5jQwYGMoG9b7sNqrrtVLV + ###W2usfXBy78uVFRoxzANgkl8R6zYE4N6VsdS6bOg1ZQGJ8BJXJgBxrqZ4TSSJAlER + ###sVmQhpBhMJQaQHHM8ITRNyK6rbRhmOOcpezq+kkkvYMhxVKixRxr7koNhKiNjUqt + ###4YKwVW0Uh4UcjH7dq1Y34FV9vbpW9dbhaWWlVtkA4Wuj0Viv1Tdq6zAt0dLeKJBZ + ###xoCEB1FQ0sxciEbSAmMiZoth9VYEHsMIdvYRZb1qvb5WcgQqwf+ISrDS/LbsVmsb + ###lYzXjTW3ihdeEpq/BM6tDxvxHgFdiApR2RVrANg7nbDpuThEEJnIPhWf4ZjEbH4J + ###KOpdRxxhwqsIx0/XmkNRiaELLctweGEg0jZieHkJY7/7GzDHyK+CzA+T703R6pbS + ###NWK0PL5YBmkfDspbOQCFW/cCt+qNWskFkH+QeBR5MD8bGABbTshIc4eNCWAD9gh+ + ###MwgTpT28TYQqXh6TLgLu4l8Fxh10xge09Ibd8ihC698fQH4KMOEV8uITEeT7FYAB + ###qEBUuC/k7gFBAF0Q8fMaW2H892HQ7/Jhits2Mvf9FNEB8Vu6b+Ga3JVk8jgRwl/h + ###q4XJWMVdqdQ26o2Dcg0wC02puUDeOT8BzggKeCvrlY21jYNyXZyQsq1x4N+g+SGe + ###kUaD3orXqG+4qwSSFduOgeEYJbEw9cBUKtEPL0OykON63vq6Aj8hsaCNF2mCmPvp + ###HXM9QPzerXoiS4VFAIHKEQEkbiuD9OEBdZMkaMPUscYnsbB/SKmp9t7XPwB+/cur + ###ArWAsQNuuiWnXK24Ls5kYwO+NBq1z3wk9pzcXRNO6RdyAQmQxIY4N9BMzjgo75AD + ###yZfX6OWdPhMBHbzCDaNmkn5GE0VA9t5XPsykH3vv3XkvvQ/JJZtZtJrVDjyvfcjL + ###Hz0yMYNoUlor39iHIR+ESo3rOnR06AeeU15r1F39oOqse2tGgRrA2Wu8SBiqGCvF + ###WsnOCGNutTxTGZxxFt7BSUdwtwnLG5jfXenOGjpDwi2dHJ3CXxx2owTPYJ6M58du + ###6Q6pSqIVj2AIpY69Oe+qyXfHsLPvvMTqfPmPXitchSnp3o9d9clTn6rqU+1FitVA + ###4M5iNBCD776v3KHmsgc/ekNsM9d08O7y4BQn7RINyMtNghUBkgjPjHJrebkc1BZ3 + ###UFmDDqi+ZLDp5VZWA3XV0b80VMXSJlAGKqIUC2t6J7Aafj47Abq5pCuDCAt9zGyi + ###UQfmonyXN1p6kW7OnFRPTsrqpiKrUz2jvJtdnqjFmlkpVUSX+JzBnSbpMBz4khAD + ###Hsyhw8iRzyDD4XwyrHhRvliI4yCaACHcBg7opWo6z8aDTA84jx1nV4ADkpJjxi8F + ###otgCyZ065YfM+NT5uJW8NrCtJruqqHAIfEje5l0v0LhJHtZIf/zIBtcrSfiJ01wH + ###prLubdSA0WzU1ioN4BXUlzq9rBaGJqfbMflKyVEKXkwwkglJwa3XvEqpWlmvVT6k + ###eEx6nCTfZa4C3JCCi0wsM7kdOafB7QTlEcnyxHpKZeR8crmoMATxeQXZfI1Z+lUx + ###F4m3CqwR7/BsZsImdZm8G7Nuih3hNUlwwfG0TZ4VlA/1Dj46rgSVUGmoKaUZ0U3U + ###ImBKaTkYWNkJZRQdjINhTEkzSTqJpkPWdwsOSi5GECuOTkQQypy7PEqeFAgKCsTX + ###D0e3grGsa4UITNhbzQ2LSBBtVjPBY8pxwFzWVir1aq3BnGQ2q+nWau66ZjVtHlM2 + ###ZfCuXq3RqK/SwBOspth0inJHedx+DXFcse7t297/pO7/KMhXi4M3PpEJ2Pz7v2rD + ###rdRT/l9rtef7v2/xk+X/VV3m/m9vwfVe6gLPQix6zJd4h/i8LHL0yTRTQuKm0lcg + ###jz/f6T3f6T3f6T3f6T3f6aVMy/hGZP9g9+1rw8TMfprl1aU8xw6OL1t7L/oj2MT0 + ###i2SKQTiO8V7pP0myAk4zAPYlo8ymvjIUPSt+7uJtzi+1807OkJbyhr4in/PzhfS7 + ###KecIzrXR3cFoU19bUKusWBAKCvO6AvWjxGVB83hfUoJvOWiN706QNeTX5jjtClja + ###lFXhKXD5c+q1ZT0/ox4Lnm7jDmRFqVGWBw+TTw6W4stbIb5sIlKMDrwoFQFbHlIm + ###FgevsfAjeprYAKdrmoYJHA0QnJk11szZYKmMuaMKQ3X2E5IDUh2UcBzm6uKirdSL + ###IIgWctaau/mtrRyVzhtryi2RCJpsCXFhiZZ0rJuD86PDX1sXP8BmhUrQ0l1+q0ni + ###//ffowKyKcSIZA2gI7q859bWautVkFqPj2U19Wz9+DhV+61VPWfWf4s3psYIEQdp + ###ZeQ9YVu39ka9fGO8TSgAOfMgkB4APXJKptYBxDKlOfouAQtLe9QTHkE5IAIgr5Sc + ###l9TgK5EyM+QEnNTVK+dv3f8evixRnuC80C18FreEIOuV72Z0Ca+VJmpmf6xdmdMh + ###tqI1JUhoisXEpSPKTDaMyNKTtFWaUEk46SdZ0OKFfASsoMgjIIXdPQJOqc4yoNT0 + ###MsCkUM3U/Dkt41vJabUOj44PWi38dAynbKuVz0RBoxbhYUlmygQeX9i1QuGnwU7V + + + +Valin, et al. Expires May 3, 2012 [Page 165] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###1SwMRYr4t/gVdSkhAyPisdA4kqtxtwRWmeBiOV1AS3xZBlg4c13lW0CKevqDAAV0 + ###i44ePrsAWPaDB2AXV0RoiLRKooFHg87PO7//7tjPeJQLQEojEfDk4CM2RLe3Z8BV + ###z3oOeP3tbW1K81AqKoY2g4pmjSnCRMrJ4cxfXL22x8m1PX7s2h7/adb2eO7afsnC + ###bm19ycIef/2FzaBUzHfoM9Jcn9QBOvME/ZKtpkiXXg5x3FknnkLDpfeTddYuHMKy + ###B+7nJU7dLDAf/7FgPv5iMM/C7qXBfPzUYLb4aMMGTxghYMVyWUg/LBexnGNJGyRY + ###SCiivQIIPhKmiuuX7UtKmJM1tit55x9O8vUrsd7wpCybNkQCadR3V/ITY9UclpgS + ###nP8lGLQpPf2wc3zIbJyT4zPzruQm3jPj4uTkTR9JJKurtkyi5gKjgCNNYZJZ7jhR + ###bmtLl1M98pWNj9aETkt/ecD5wJWM86H9xGdDexF60ggecy60558Jxfai42DhmGac + ###CcW/dZuzRtUuZZ4OiU01n7GjKz2xqPrLQw59qvRHLiqN4Cssannhos4bzlc+441d + ###ySRI7ErxZWkRhqtYR5b+Mn8pF4vc9nLik2V26NwzLAt+8kijvw/fqUsebWJkmUfb + ###zFEts0Hnn3psUqR36EMXmKv8eRaYxvMVFzhj1y5Wx4hBPcHaLlxWtkp7S9ikFvmt + ###tY3fPmwfa1caXG9RWT20Vj7j6ZegwNs0DrxdCgneztvmU/w/C+hy9IQK6svDN/zb + ###JXf82zlbfsEIv2DfCwQhlNQIYpGBtw+jAwkE4cp/JgRZLWQAfx6h6Pen/OvRaMJm + ###OwsIRzaizBttFqrgOMv8pzlz1LyWKbQxhrkIcdBySrg7iLskt6HukrJYN22YlWDg + ###vh6rZnY5l2NTMElv6MLj2DK763kXFEveTaQvROX2tB8sfVLraktz0/N331Ms1NPz + ###1TnNjOT9fMZqLj6ujdE96ZE9f5l39nh1OiW6zMMfQ6xvesKaPtfJl+ybWQS3KUkb + ###F7rvBIr8pNHGevxQ5OHKAn8sGo7PfnpiZFrqrDdG9rduNjoV57N/Py3JAeJwd3Yv + ###0B8zv93MUAC59eJP+cV4JYcqDG7JaA3toUYjdvT9sqHKXWBvA+NbmxQ1Pz1+X8jx + ###Z+6NwkyFQnrss/cMjuunZlPbThunU5VKGBb7xrvaEoRU+KPSJkvsiTZaXCR2pCgu + ###duWCHSkKm7syQ427c/n2fOfyIPNQhIn72205bb+p6Ze/VdbP8WK4nZQIqubs/Rm6 + ###etNe2m2Jy8XEKL4+3cfOH3lCZxJ4fLW93XRc90voPY9qxuHNmJ0pMM68Ta9m4ON8 + ###Xuknt/qHrUj1q6xI9Qv5KRrX4jXhE+1JV6L2h61E7ausRO2LV6L2ONubTOinGVxB + ###l20mVz18gNLYrvwnYndxPN+I5VWrXn/83UFi3A/QOS+vnXQXXzEnd+abP4xGvnl6 + ###GllsOhhA4YuOLRqW9NJagi4+GW1+8yS0OYtrW4QBfxRtfvP0tBkwYN3d8L4QA2qP + ###w4AvPRPezDkTvi4G1P8wDJhPwh+HARTt4QtRoP44FFh4QCzV8ZeiwNxbqv2jn0G0 + ###0iow63s2Y5ClxVDVnvC+qi0DWSRwR0NK9vrK6YboqYTW+pgFAuGz+rgbKQ2piq2f + ###WGTosxDP9WDTmvHVRZzKQy7SVr/ApkEPchZLsoq/mvOHuVALIYYH77bJGcCKIoCT + ###sGIIiKJb0lcgUdZwkU+yQNX6Qty3EP9hel+u8u0x/qui+2J8X0p5KAb67VF9MWEX + ###Q3vaO+O1ypw7wTfnMKrWydGbC20Tpx7lsNU8JlL6lxord/RyMpr4fQoC0A/uwsm9 + ###vIbCajQ0NYD85meO1OfkKjpo9XMamL/uzwz//6tgGEThEyWBWRD/u1qvVRL+/3XX + ###e87/+k1+MvO/zo3Z/cXhAkS48BkBAhTm0QsOEfCan3GJVKiA59gAz7EBnmMDPMcG + ###eI4NMCM2AIwHmNa9VHQA/Zxc1E/YOd30RGdbL4o6ZrmoKzMwesWJHoVxEdAEX0Zi + ###teqnPdafJETAn8e73vatX9qzfunx1794/HVz/OjWMWcO7vLTUEEOqt7iaVTdR09j + ###fgQIO/7D3OgPyRgOy0R+SNdZIurDnpnnFI7IT0EU42kHB2avPwIOguKwYmDjyUgi + ###aGq3fHnIhYePRWzgGWP5oqANOJbT4AqOeL0pU/1woAOMrVAm52er0qzBse+/rsTT + ###vqYIgolaQEBGie6ZionXQMTiGNgTSj7co8wEonCJeZTbMLZCSEMNEsLDIadJzvS4 + ###txdOzkuN0AKGGOGsuZqu6fYaqJnvqDQMvNvKzIrDes+Gu/TbnukVltVuP+gtbPbY + ###bpYGLKi4TdN9xBblLbdoHrPAk3QFfOA8Zjd7bDcr54GAt1ImJOYhyCO16if6ZSoo + ###gnWiqAUsc3kyKmPYTQy4GMK2DPwujky+Bub5dmgOLOX7qCLaFHNmoNikl2PJBMiC + ###8WEAeJHk/Io4dwqn3g6cIW5MjK1oDOiJnCVxWC/Pd355CTJBJxrFWH407XdJmQZd + ###g3jXRRUbZVinyJSYbASghSnHUai0cWIORmR6O9rrnYzYYsD6AZBWHUkrMnYARSfP + ###bRzUPxz8/crBoDJlflBWTyRMLmhh6EClqPWIFwpnfEAaE4PlAcu82aw9avujzvNB + ###xQHsK9UwRlM1mnm8YypuyW6X2jPHaLEB0q+0nSSmCaaxaH1vy1FfyOipczuRfo6p + ###Tvx8OdmuNWwT6Mlhi7g+CWJtjhS/t7MGOrNZ6eaR0Ww51axkNN1GgkMzdvZsB4G0 + ###rY8EEf7kcklAIROQXAIagzOL1XeugITEzuWRzA4fAbJeo6qHdC3h5O8xD7+8rZnM + ###e6FFeuDEZvPJiVnNFkvMCSbftvOZ8L4vYyKfBw0qYVOeW2BCnpIlqMunkiQyzGl5 + ###PJ3SXJEozUInJYk1zTin7eC1pSvDIKOlNlY2qYxtjzm/XnVGvdqCerUZ9eoL6tWz + ###5/jGGigDFA2LslZ61qDfWIPmNtA0JbuN7Am8sSbAbXAWnMxGlKwjToQE82SK3vZh + + + +Valin, et al. 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Expires May 3, 2012 [Page 173] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###8wRoNswKIJMi0ucSIgaJtHKiQWc76gyGheqMouAVLQHaSWEgHpjRKun1UAB2crc0 + ###tCtYTzgtAnENbh2dCAJ2iAzJJ6AdIIMQaE4SXwKPJXQT3SwA2ocKrgz8SwAJEQvQ + ###wGdWyOlcB0BgcO/BtlnF/bDdVNtoVW4SppmsAPHvrXGj0AksCUNSGANQtqhu+CmM + ###hc2xOYCzN5evnBP/Bg/0KJBOu+oa3O+TRViccXQCzdNSvB4azhEooH5FWgU5ByMX + ###RCLplEEBbPyV75iQnN9lvaMNayY6kzxLJifNM387RqsM4ZG8eF/c6W2Z2ANiBB/0 + ###Bngy7E9hvurLnAkF8xmi+y+hRPD3T4j6grgAKwqL2LkekbHDFCcdOPer4b3uBZo4 + ###yRioN2eYFMmLcqaxKKRHrIZIub4KsXEYyTdK+yx4gzfCN3MUhVc0WtphbR+2Arf7 + ###WzoM9bsE45aTEljpnckVkVQg3iQSRkherqyZohS2ODJUWItPDSmxgrgJzw0/E0P3 + ###kKVHRI6NKuIqCn2ZkynOltPyrLzcdtKqnhk6MB6kUMLA0C7PzpVqwJmjltHOaELq + ###MlS0QOnaaJUoVKqALwmFqiwMOCIsbwjWGgcVYLq0wL62f0RneOQkoB/i3Sz10HT4 + ###GAWRlNM76ErkFODXAjWs4yTUtov0LZlqoiWVMHJOj1XDzKyfVsQ4s5Qtwr8xhdjw + ###XCCOVDY4pmJX7cBzmwUlMk+aXKnQTakFhS530R45f8wm+fqbgy4JAE/V0Bnfs/Hy + ###iTX+B8iPscYgQ/fvZNwOGKO6m2ERkk5RfmAu6EGJq4o/iqTekWWGoOBL3ToczLlz + ###OPjCG4flJyfhMP8ugudq3kUkp0xnlsQSHBsxlgeUvRXQhO0O4GActUK6s04giPHt + ###V2kygaUF6qSIEn3SZg3Gyg/CLuqgxXWpiS305oBf4Tt8gDMnicPGJL5pxAHMuhA8 + ###Na8DzQsDNZGBNMfgn4HiWQC+8BvvgEpuvsTffuVvlvoJrRvo9n/JCmI+GlVpwphg + ###1yolpquLxWSaElt3tUykLH3ul07+HaXUsKb3q/3oySeAv7hNAyXhgbC64HaMV/gk + ###P4sSAUtWWWlUGw20oPBWx6FUE0uTEFuyUXpDUalXcuv5Ep9cE3/ojXM8bByOqVJT + ###zRnatJV6r+g2quu1gmysQG1wE6oFxRCJfSg3yOendX9I2f/DkYDa6ad0Aljg/7tW + ###rzcS/r/Vtepz/odv8pNp//9s+v9s+v9s+v9s+v9s+v8nNf2Xh7Rlm2/4A7wQetdB + ###OCQvWtihbb8dUpR2mUogiK4w8msf+JMcqlDhedVba6zn+W5JeGge7wAi7R20js9e + ###t06OTt84uUo+9ZJfuFtbydL55EC0E6mhmkZiFsRIZdCd1BxZjIwTagyIE+yGUUA5 + ###fbKHeAo9wiga+QxDqk5LgIxCwPWi4KObU297cUWYeAcd/z5pSSVulOiehQAEJNqc + ###eCHnFcwhoPk5tGhK2r1JIUcsX5l7AFmxrgVuY3Ai2KBh+SNikZH/sxFHsBfPG3Ff + ###iVVQD4bN1Xkafa3wALkIXqRuu7Q+U2dXZRa/jOW3Koox59bxYTHO/4+qR3309Fes + ###mrkCOAuegaFWvmCbDmEv6ZO+Fp2Kpe76zf7hitLFCjnG3cRetp0KGhugEgaGtOlk + ###yzVQMHGBDOMt4oCLeiFxYTetOjDPXlwwwtPnzbU0BBWexQFqj9Hg+UoGZyZmBENj + ###mpvR7C9pRtGLs0x+yRNh034A5KE18O+Mp+IJjppwttzrF82+yi4MPLlbs+uLj+WY + ###VRyqSDeEt3BgnOL6A86HJVWrbFzpKfjCNumGRRcwZS6UqUWzQMmRMzDbZJQmyaoI + ###zZroJ1fBsGuwlx8GM2sEAhO+/3+p1gw1ZQ6A2Yu3mkwuN7MKxNvSZpD0ex0ZEBgY + ###uRzt6l4f/xVxB4AouSnVKsY2EeG1LPXu3P0v9rtQYyapgf7Opni9Ae9KoSPFgVEX + ###NBonRSig+DZCxqIWuPGLX7Dri1nL8FASwGk0aftb5xFQAjHoPmzszM00mxSk9j50 + ###ULbJQ34BMViEaxbwnpRyQLdbdrfLEBLaz7DOuNG2t3NJ4lC0tjRueZia1QDDDnd5 + ###5gb/bI4QzcEI/fN2m3DGIOlO7+Dk2iSNeGBPbhn7MXszJso3e4OM54MtIkG8OblJ + ###oaWnzdLi+0XeLLiLU6UFwbLsg2lST6y6eZKflP6HnT6fNATEXP2P69brNZf0P16t + ###4TbcOup/ap77rP/5Fj/fJP8nF09k9FygL5qZA/RZh/SsQ3rWIT3rkJ51SF+kQ9pC + ###ddHK9fb8eA8YlnxBPIl0xAk4UTs3LfIjWC7QRGYkCxVqwoiCxpxav3PVimCsZnw0 + ###Jw4C6YAvndgajVrdqzsFeucUHRcYi41KzfOqwhRI+Uv7QNbiXD7h5wBTZ5GJHSO0 + ###xzKRsXsHBJsJktMVZxftxfDVMIjpUBBUDJu2msTulA2/tLgMmbv3h/hOtI8UEOO5 + ###CW8MYdYo9FpG3GQoQx2jt3nOeH4nYGGk05sMxpvmIyzFso8w2K5VNhrFnCnV5O5A + ###yrnL51GwqaZYZajGQvAa87oUDEL2Ql9I+bBW5ggPh7DDWidvj9G+3ys5ufJao+5m + ###PF/31tbsx+WG18BIFPm8dKAwh3Hn8SgaFsftFnFy2qmS7LglsNBmA5aAXCnDOByW + ###6AOA0BCl+x2lReuzzNHvNA/2WkcgEeWoLD+M9cNYGvTg662tplsvy1bglXgQm6PM + ###9WMoAkB2t7Zc1xCGisb0aYRO6kHZq2+sIWDXNqqmD3XZLAkDsavSA7sqgSnjnpx4 + ###QzL+ZQ4Bk1qSVXgOb9iFojafDPdIVASRlZSbwnq4hU9bVCMMYpGJATPriuwHMl44 + ###39+HV9qOBOs4Bah+wxoPoGP8obXHf09MexJyND8VtlLJ1CzBLg2t6QzK2/zZKIjV + ###9+AdntanB8cXudYer+UpWgMUoEp8Dfv2pNuZXIT/ZGVqJ+EjZlhVwDBn2FVYXqqO + ###ZdUy8O+0Aif1Vvn06be/NU/ErND4ImEzjxwuNUj2Fe+qXo6/kmtNsVM4tTxrZpcu + + + +Valin, et al. Expires May 3, 2012 [Page 174] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###ZxW37Ej1IIqubbeOwr5odtsyTbXHSWpn4ctgWFVxzXzZrdgDXTRtR/p7KbMS+Foy + ###zKKEZZacWElY95eSrWT9LGwlAdW5kDILKpNqv9tlP8aAbaUxZimar3f9wZBt2G8D + ###4WGEqfWmY+VHaBmpguDy9zg5I5GaAF4OnSl58LGh1qpVELcbDLGDaD9sH9CQP2iz + ###qqK0bJMW4trshpzcSmUGhYUvSX/Sxd2Y1fXH1UIiWkNmK2SrZtQ1VqGzJXa20RLF + ###dpBxHJxTaQDJhK1NqQempJEUwqC4pILjHFZpRVE7bTlJVHAZOqdDLKB2dGb0BbPe + ###X4kkJn30nQzLTlES6WJJeD5lFT4wDc5MYvFPIhbZaFAWfIvYu9oqM7N4yUkh7pVl + ###T6mcOS9+OCbTzqq93xdRJkkrUhZmYlSIAxY5Kbv50tXShDdVhA6ilJky7wA89GlT + ###AsYbxz5rWZ5P/m968vNx5QZlb61nqtSxWRunEou++ZsVyMYxvdQJjQryg9HsLLpr + ###k3GjwjPN/bdBRqTKiIorvdUc42NxxmJ/GZoalNAgegV1ImRj0Gczs02CaHF6wLLC + ###BxNptMcO+8LJrJ8cGQEfITNUFqVtQtYNHoZiWYg0G/X+IihmOunsbTVBTn+Zhkue + ###ov1Q0DlU+Iq0gdueymknXX4SCJsJHnWvPhuyyuKhJ7AIcUg+Q+OFd+aD5bcF0Tc8 + ###tLrZ1Bo3yDwuwp3NElhEmLogoJtbRRdJsQ+FXrFIfR9rpw6KNVHPFe5KzlW+5CWE + ###ijt9x+wkmAc5gFQUDAEoNSoo8yHpKKAHk4rnonaqVLCNZWgSsb2k4xFnDsB8riG9 + ###JilG+JNifkxAQudkf+9Sb0V/OAmVs1PmNtRo0nqXkXfV8HgSFhTHJ/xX7LE98Zfy + ###tkoeljxY/Ghi7EuDXBaA/Tywn+CMXXr8wkYe+dLjOmTbxe5pooG0NhPLoBlYCfGS + ###/fLEAtGYEtj8L2PMp0psNoMzXMP2uS5RDMiWsudhW5Lx5HpBZAI7MIF4QaG6FKUh + ###JC4bXxVGAz5QH8g3uqvrnEdCsQz8qunk3CJDBB3sVnO5OQ3nt7aOT/IzI8M5jpit + ###5rbFZjH8Oeo9snkpOSdHp7CpSGFZ4s3NVPlu7OXKsOOgNA0RilfKu0eX5wcXIOm6 + ###eUcLABlCjvJWE+PBoGYVHPYsYYY1H5OEsdVE7XpAwtyakK+3tixKw0sqG7L8yfQW + ###N8O9KOgAFArGbFdcDx7QbFXNjMZzPJN8Eh8EeU8DxXQTy2Y9aOPMfuVlvzqAznvZ + ###r6KEhKm8G/8ZWHo26hhmp3bue4umFy3STUMRhb1FhVEFtre1tzdT+SW7Ptl5BzhG + ###30p6GHa7CeouB6KreiU9qNlVDXUKwQ6ayJxGGTaFNSbreJFVufdKiR/M3Y8CHlxz + ###yyGjWJsvRP9Fr8D94utqejNyNwmHOdtWSDRUSazD8UmzWU33Z4ritZxXddcqkh7A + ###l8ZGyYmsviI+/zHeE41T0tQobx/9keITbGGf9xKVl/qGRBQmIJWRcHzmyydxLIac + ###48lDSwavQJvQyyPpDIZCZwgHmrxYssVCOk7b/VHnJrbiHcjMz+Jw9mOO7GtqBGlN + ###ViwSIZd6MXgLKEzU3JrnVuuNXgI6SfglXkcFeUwlA0+9g7ctZO/woC6ah8QHQZNU + ###UTotb2C332y5RHlvLDbG3owkQ0wCYC4Vl5LQjXKIM5uVeB8W9oqdD99D+zd5GwAp + ###zTQKLhjbibid4ShM9+AoiaqyidEn08JTVrvwQ/eczcQlKbESmxml373P/UawKt5Q + ###DC8s+H3lbr1SqTj/APC/cspRuuLn5AODojpGNOpUaUuF6/wSiCDVFFYoHikElLGF + ###hgFfvBru6KngLEbXCaxL+7CjWz0dVyWHA3BnqcuUmiIVJR7ODow4MLlvsSvxAuYz + ###5QU9R85DPvxoP8M5GsDJ7zblo1TwTR+oiO8ln/aDHrAJZMeTfIUDmueen6FY5dsg + ###lnQ+KNWPpQtgNaveo32O2GipWj+UDN0q24cllbGWEGWUJiiqawGnaLr5ihsJ7eFO + ###k8dfeeMh9Vei34KS+3jk7h/9DBwheWUfm/cZVB0DBJZ0PE/fm1OBW07UMDex2sOW + ###zEsTi0qOsnjtO3Z8yYgcq/X3ZEwYOrAACfpWCgV+6pX09kWjavSQBmlsSKHfKBA1 + ###RudVG63j9zvTPobO4W2W2gLC5T9GXfBCj38TkX/7EmjMcMReWausuZXG2jq7YjtW + ###SJzkmT6n3q9mPQHdflFxjb/yk6jczyYLAiYDoFzBXJgkgxpkw8iMjztuVjj2geBT + ###zegHfeC1ouTWhna9uZE3oNZNNCvgNoCd80tE+EcFNTSvAWgyo57zrvgr2f69K/+K + ###7MLv737/Hw/Q7/df6e9qGVXQOYyRxYg0d+HvxuY17d1YxH201yUZJICd7X9NFPxs + ###DBloNUe+kskJB1pT/E9lTqP6t4RDWp+7sdRXU1XSRuMofE6tDuU4tDXsNKcf3gTA + ###kGCZX0WzuBaK+aMGBWN4YOE0vvIobABZyFAPZWDs7tiG5iBaVLioCxNfjZkCGNeh + ###30ZQroF0663nMRcH9Jz5Lh0UI7lW1lawqJPO4ZFtQQIvbvqJSCl9JdreRIlX0bwo + ###KoC9uZt+eU1LvX0zJUha3DUrR1g5MitHcyrP2kQ9HAFAcU2ChSa3psB/E1kvI35p + ###CMePoIEc+a9/T2gYd9A2+sqhHUCGa30MDnRPL6wQfWnSSViYIpMZh8uc6DGCRHAk + ###kz6cLxhGpm/Gkfl1YRsRt8HhU2QbkWrjs9Ac7gcdnOPtdUCWwreBDK3K8ZA4KJcV + ###ulTG2OpFKM4AJHTILIAZ+m5QeMDFnBtp5UA2ivwrSweICU5VM6LYda8lS/KDCUoF + ###yWLsM9K67pnNLaPf1/H6hfUPUJ02MUjiVFig0k9fDWjt+YxLAuFWRqNXD2CaMIBm + ###JRXyKwezIPcafE6KwKwbBLlBTgo5Q6dc1p/L7oc8Oi2tJxIRGImDvvCqi0JiTQZj + ###S+uDbyad0XQ4eV9FtP1XpQT/fTZKZN870NWCodbHawazXb5JyZl6S620TAjNp1vN + + + +Valin, et al. Expires May 3, 2012 [Page 175] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###dVt6gUWDs0s47CoqIE/iiKL27u0f4lH8O0b9+90SjOaQcFtmNJkN75TSEP3kVmX6 + ###IfUD76xTyKYqFI/Qwd+wjU8T4iJOD6tvOYbC1asD61XNpwRasQ6VD9aNxaxWKo0F + ###7bhLtuPWF7Xk2S19tsOyUmRKabTcG00jIhPiCjG37tz88E/2TxnnU/JruG1IPOWE + ###Ioy3HF7lV71CTs9KwSm/alpICRter6BGjb6Pp8gp6Idu1sOKeGhqkrljaLPg1RvG + ###C0F8Eo6LKQla7ndF91JJjXh2xozFdFeBiBVytbKphzTvqAyCi9M1vhZFk4biXLTZ + ###NGttGoNIEutm00uPCOBQk5XIXCa7ZiVds2zU1HN2th3P7CbVlJfqTVV01+dVtFI3 + ###zCknw2E72hwj9/JvXYf+/+/hy5KYQMk+3pLtSHMP8zQQ+IEnArS9mNyD/IAGjTHZ + ###yuvUFYAFoiXJhJ8HcLzHGKeYxxMqFSWvMFqsFOWhrXCgoFFFpiCBtn64J7ENr/+t + ###JqoFWm/MvF4tW4c9sI1kLt2o4W8P2vcU08e5DdbtbFOyoqOS2u28fo0+Rkc/80H2 + ###Wa8uNwD7bEELp2fnJzvH2bWlGn127WP0izIrz+tInLY6+OHb//t/heOLUZzUi/nv + ###K3dsYpfCM37/N0szJM51zWBoweHkYOfi7fkBzbN1cnHw4kWvP/KBLbo4eF+t8PEM + ###RzMFPGjDQ8m+VPgZPNnjk1yXFQYc08GYzvDWIA5y+CgVgtDgI3TbqUtVbQR1hUZQ + ###OLDww6rqODQF0UTaMBnsYxD4iPB6OBncKE8bOVH5qaI+4rlyYH8TwUtOrIixe3Yy + ###SprpMJxon34rBdR3+M6aKpBtTHFmgU4RYdGSq2drwM+g3Jm30r9tGl868gtP6Mok + ###lzw5VOi7FRRgc3tAn9GtX76w9IVbrnmAJ1moJN/osGEntZSy3yDDJ7deVP0sYflk + ###3Xej8ZN9bZ1W4TPyUGCMK2WjV35Xkbb2hezH85TW3KrExWJzT6+PtWHMFdIWVSR1 + ###HQ27sO4YMZxi8eD0AJRARFmZgsZSQx92sN93fvC7/sCPSHc4irpBdK8eYY/StSqI + ###MbJPSOlLfPKhQmuQCEMkv44wlQA6O43GyMzCjDrXIrg33QtgO+gVhQOIReYZjqIN + ###3Sn3qVvMcDlkG8H9PUdZC3aBQJHsiMbupBBAG9UAjo4hZrmkuEQgTWOenIineop2 + ###TbWSs15yUFRS/lZayOKJtgg674nMyEV1Sw5IZ/Jblb45DrQHb+TTNfEUuqASjRLX + ###q1NJUQo1S1QKRoE1XI9Luy7XdGui1ga34Fa5H7dCLb1AsmeqKLsB3l1E/QDOwta1 + ###WKGskL6VdHpbWdwSTHkDZyQXU8k7qDn6ZAaLdlguOq0UjBSYHLiZEnukU2iZnIXI + ###+CkiORBXpAZnUBi9VAWBlE1r0UQy0bJismbn4HTsWCHzb+RgBu+5H9h6nFKOlWVi + ###soZNwIJ4rOlRLNd7OKdXTaMzBEOh9sE2hC4oETI64yrsL4lO3whpllsuY4loyRLI + ###k8WpfYVeQ7O3L0USwo5r34+yksDb+GBruhgFTivO9nZGcp70XGdO1NivegQwZpew + ###ybQewocPuV3iQRS8wm8JUxps9xEN5bAlN59oLNEPAxx9ZBOjz2hGli1bZT8nPGCl + ###U8ZH9n0VzGKb/4x6PeDf+TOpVlsdf2wG8M5KcG7oFtEyhDfM+vt1GJBcFLLygQNq + ###bb2B59VGbR2OLM/1anC6CWMbr+418NtavQ4lq5VKbV0nR/84LDkf25oUUMzmwqnI + ###Q6jDeyNveGrI8KdeuSxlPjzsp+MxcAP9cIDe2kMpd/qUlssXU3ToepONMzjkcrMp + ###xg+Mic5y5Pdv/fuYTWhEIi0yZ6Sb7xG65uGVKnL06cQHRmwM/KEg5hwQ4zZkd/Bb + ###0nRLGxO8Bhx2VNYwNN25CiYYdqMbdGXsp49tRwRPa5fV4pVzta0tYatYAo66eOoV + ###eJXzq6eeUNTomuuyMMLbUON8bG+hgzK/o/yJaqd9HGpBwKZW9MZEiY9tEBXXPmxv + ###59xaGdrc3pZWlJtmldzHYRGj06FHtKZLJisAxbaaJDBvGiLlx6FldNybDjvS5R4W + ###egzIGkqWlq6/KVntsMtJIugLO53ITLWSYxyMhiO+/2MEwQRuKxilaygvHqgEPi7h + ###EmFyIkYi6RPFiEuJKyhkClo8D0LLqQWtqaB1XGUVAAXLX/v9XpnjMjhHFJQFm29j + ###CqR+n0JnCrUIcNfxSGgdOxTfkxxD2wHle6fhwBDWKYxabCaGVibSlG6DDPlzfDuB + ###2CsNVyz5VN5PzL7uNiQ8m8QkUtyyWCosa/jrpNdCbwFUOBlN9ke3ODJKituZ3DmF + ###oGOZVrPVdCEKBn6I3H0LN6M28E631BpNJ9lWOV1hl90HMaVvdSJsswtoKJXKf5HZ + ###SdwBEaRzzQ1iRj9BQbnfpHW637kONNFTn/Bei+aj74JEOgVaVy3OD8Iu2gyEhtEA + ###n7zNU/2ltWt/0+V2K81d9WUSDoIWZtSymgJ04xw5xjOQzpRWwbZGSBgwEFBHw6td + ###skGkRxoCdLeUzjTEnZK7DtMZHVrfevMdo6t12ar7ggIwOdSPEp/R2kUFI88VIYBc + ###ZGuXX/JWacrN3nR+db6D12+Pj5VJxMU46ISYcMoXLgxI2GP0kZSmM3St0xRZtU3d + ###h1J3mLlLHJnbw8nUU7A3wtWwmTRmTWD7dlOR6Nl+9lCNIbXASJHSUzWdu/eVD1sJ + ###53tHxrOkXnMYBg9Ll+yYn84Ml2/dtginpxpJVbe+JSaLunU1Xbteu9zMevPZBp5A + ###HRsMd5yDlgb4D6dMisiLvZ1jjOfzyjG/Gg3j+v2aqZZxi4JtMrVaBv0xOjee8hhk + ###mpDKh5JOU2tlZ/+sjufvNPtDRMtpNp1KCvduzFEoKmslgVbbG5lJWUJWA8xHlZEq + ###xKmE8eoLSDruhCj4OAW0uMdtOepPpZFNeu440JzuC1V7OdiA37t5Gjm+Vr1vVch4 + ###ZbeyrfV7ic1hejHOufw0oCzIsrD24od21lo50mayjmasTVmErYvVlEwLY2OwFt9s + + + +Valin, et al. 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Expires May 3, 2012 [Page 179] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###hO2arEAIUUMEpwOqSptlTS4L0XDGHrkGAnvsk8tMw5rFMMUDNNNkzrEVdrq999UP + ###zX95JbdUMWpKdrbqOf1RHLdQpQbyOvBjuRS/K655rMRUhVG/eyAeZ1h7ijxXQztl + ###NFlBlkwDRx4Bdq6udJOJiuYYn9l4YIwO71E4zw0HWVEGVZ0CDOoDzESOXj3Ll6yY + ###gWJIJzt7ZFSbw+8lp1tKXNZnJUsW5rMnR6dVL+cBuwIjgU/UglfY321d/HB0eFmu + ###5fObiRyKrHdh3l+tIBCIrFTec0xsH7h+LwzwCVNWcqcsJY367A4StrqaS7f7oeB5 + ###JREpC74OVXo1HHZrz7aRJbnEamDg37VIhLASnEmDUFSgnh4cX+Rae9reFDPIqS9t + ###vzsMYh2JzUA7EEE+vWdZokKbw0YilCCTz9oUYZbaxlxHAJRiFY3ZGGISKVNBLYds + ###CoxTq+qMsSyEmSQfuzRtG9ocklILnHwfaN8lm4VI6j0+UXYnokEtcst3ykvnYChz + ###Sfocd1XKnql0NktYgXa0dWU61RheJrcwi2XCTuojrNfHMBUviNfoY8ZjWIe77NK9 + ###UsJVzKiCCJ/9htCr1carJtOYCE0sNY2wjWV1M9Aq0Yl3QCTKyhlsY6VXkjs9nyQ3 + ###iZTvM8M9IsyJkFkeA3f50hqGHn3DZEXZ/edwfUvYE3S4jiUIvzvmaDlm0bArzOmG + ###GL+Nd1NwBZK+1DFEAfkNA+mBIwFI0neWHc5HtKPK9Yo8WRjCSl1PtriG0ZpzxleT + ###qGpAQxMwI1Ssw8gBetCMhp63boHPOJvpB2g6FM/pdc/Phm9J0w+kt/9pmzoheO/K + ###CDiih+WvCjGok+/1R6MIAVbszQZMEpkS4JiHTbDqasKbKQ9rmMwbmGEwtDKEklcY + ###m1h2R7eYCGYEJ1HYuYEJ5YKVqxVOXIodWCtB159k32BE3xzmUw41MHvheH8HH4yp + ###znSvgRpFATDzFDeqlmAXOAoktvOM6NPw8bcXwqQ0n81FoswYCYNNzqPEkf9SKXmN + ###GJPCTZxBWmKI+HE8HSQieMWjQYBGnVfA+vcS4U5su248NSy7Zkk+HXncsGV1tbBX + ###gLJd2wqazpfvmFhTpiVVe8upVmY7NmHAZ6Oolw4JQjBkw2qk2xnANxtwG7Ma2HmX + ###K6daSMae1vNEG2q3Pj8dSmiPZYwdeQUaa1hKOUUDnMV9lkpBgOf093AeJYeMjWkt + ###5Dj8gOF87UdFFx42ZsxF+HUm5zM7u4sNI5oBHpOpuDCC00A2n0fvFT6G/1OGwlsV + ###2CEpWSAZGXvhEN1FQ+SwcSk8yGSByjyH2QNId2DZBhMvmSJ6UEqchT0+GeHABGoB + ###fWURCMkPAoHx2zGUqpTtwWOEE/NsSRy/UNhs19i95Ns971Rex2wG4oiBT9zwx9La + ###Ah6AG7bOSBQs8FBwjHOWWJ98mujPPi30cDHApGMd1XKYzcwBA5D1DJHxLImGPsIk + ###DZtHLRwBKdgzrNmEjCQWI+lnaElASwo/0mPo4PGCkOWVJ2QgUziaLdFkyjLD9s4n + ###P+yjb+vu/cR2TYQTFchOQtpBX0AgJv590D3iN+S5dDtqYehBIVOjsI6XKQ8Qh5Tg + ###kCVW0QvpzacLGFwGDzM/syDBwywkIIP7nxYJf08CPYJpwk/MENPcpiGlcTFqGAiJ + ###Hyflt2Fwa+gt6G3Sf0/e0hnwpqyw30moUkoDE+jbnjxP2fUJCyRXEngLo0RBw1oM + ###1LETeuQEUS1YHRX0Uq7m9gp1V3oB29MibwlbQaOwWGOu2AwC/x1jl5do32G7s9gL + ###Q5LdTgiyCkpNBcnKZkJyRLbnqj9q+32n1/evYuGmgFG3SbeZuuoUbef4kjG+H7RH + ###/VgYhcFEgJUeEBM5Jw6+RF6ki6Rm0VE4GjavnKDeyZXUtLxcteSDdBfUsrPievVe + ###IdWMFTc/gfgYaxMeMdzY4zOxt9Bh1Foyvb1MP1Fjoy2scfbm7UULjd7SfRloYzWS + ###NxQbct1hr6S1FHKvKuv1DI3VQOMkBUhLoqwcjE1mBdahrsm++D0++fDe/WDRGmwZ + ###KO8eB9kCLklLeoaGg8INpaeQUF6JrTvtyaPLIGH8TpMwJ+XsaqhmEiRuyGjQRhzJ + ###fC86Nt8b1FAF45dk1xp2SVGciRFUQw8o5SI6NHxEEzOzcBRpkDFwbidCRwN+kPs+ + ###geHqxDfnM6Oa0WnemDKDn+tgTDP40guidBVgQ7KAyhtEw6NkDaVsVklEGVCDEPbK + ###LNmRTMxQhO9lpkpaWNO7y+xSTcPuHZgls3+9BghxnHHynLS3mfcl2+xBG4zGLDeZ + ###vb0q9vaS62aSCvS0VJRhS48ej1tNMZr6BVYwj8kUsuaLxpG6bWB2PstF04BmxpY1 + ###FlgtKwnwWcubtcK4qrPwK73CGe2YfOZc8p9dXS7KzDPAkv7F/k8E97D1xl8ytAeP + ###S1NjTYxx0UyOCF2K0yydIRcmS+/s72tZq+pR5BM7Doql+C7ZevB8yWovoWe0RyJw + ###Pu2EY0gtGEDvgTLLPDnEljawSoF6oM4yxQ8zhoi8ApknH9h8HDYePUrrb4Qhwb3L + ###ITP0WBNu6NYLvDsxtVHo+RwOp2rbzr1Q+GgmqzE1/cJreZ5QjTlj/Fj4lAvHDyeS + ###ml5LeYsEOJeteigqvtPUgVsa8LI137QKmpvXuuFZPUEH+QKCN0PEJ42nByQS35cT + ###8bqoA36xmayyVckoa+pHrQQ3iGkfvZKTmtEcOKtABazCZS1BUqXiGSqVGSAt2Z2W + ###ZgA+BV6devyjxzBEh+acW0usCz5f6a1yFGSg51D0QaqUYtNJOcvPUFeVM4quFsYR + ###4AAsysu/9ZyXJVkXkxBx4fymkbswW69ikyPBJvQwCGwYB9+AJOkHMJlRpEIpKX3w + ###ElQLaz6AdmE6akw9TSEEhdcqH+0G9cI2gY7gny2P/iQIWJrGWSrz7eaeM8PmIE3Q + ###tklV1zo8Oj1o7R5dXiD/Y8EECn3XxC/21ktSPscifk6S/jkZJNDJpIKp/Z2NllsY + ###iLKiwhnNpwDugl1vbXy+wWGdrKf3anmZjU55k/8zpRo2d3V59q7GOOrmvk7vaOfB + + + +Valin, et al. Expires May 3, 2012 [Page 180] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###m9oxbmKsQNDZu9LRZjtid4qgxY9Tcs6xwJFCMWUTQ1YppZa0VIYzzTcQQ7Ilg7SB + ###xSxjCuch1hTOQi1myjQl+VQ7af857CpEPHLM7tMpbyMT6V8FhXVFtvaDb2V0Yd1n + ###LrCrQEBa1hN4/zkR2ZbamD9uMuGoocEdzDyO2f0zHH7yMQE3XngmYk9PAroYhlWF + ###qfamQ/ZFCADi95xsju6QwxhvV/li1a6OGZRuAqEYJDMpH06z+3/izbs/Ht8nssxh + ###TDAQRYNokutsWRddCd1nN7CuVu1rr+3m094z0j2WcdkokorjBrXKicae+J5xu7ng + ###llGkH6QrRCIaiy4NZcXcxxCTVtBt4/fzbvXS8J0/onIyo283lRbxYfeGj73Sm3t1 + ###9iUmP6qHRZeGM1p4vkpMsLzyUH06GTxL4E4erA8VuB2T+D9e3v62UrTeRZ5jJysl + ###SDwLg0vwjcui79PKbCkUXlJCm4/mzxLa15fQkpvsWd56vLyFydZ3BuMH2tDrGNPy + ###TiVtTZLYaq1MN4cF54HEoLTDQwXwXOC7Fbluhk2yKd5QC8v6SvSvHJlndo4ZbQan + ###Kn4Y0wyLkLyIIBB+KDUse7XZIxdHPkP9buzl+lf5Ui0Vf0/Oy6j9QOBkII3EE38w + ###9o4BV2YhirStmI0pIgSaiSL4CBo9+GoYwqNKQEH2mgGH5Dpy3hScNp/DNIf08nv5 + ###lBlnecHKb9qDlQNNIqU5XKvTYki5MrRlR81ksGev5h8d9+r5h39S8d84esuT9jE/ + ###/lul4Xk1iv/mem6lvobx36pew32O//Ytfp7jvz3Hf3uO//Yc/+05/tsfFv9tSIlR + ###di4PMPIbZ3iUX9V3FIXfXBy83T9DR3P59Pjsdct400iUf3t8AWvseuv2cy1SGy/o + ###4dnh4cXBpeO56vFPMIfLHfmilv28dfnL2ZsfdgAybsMMUNe5jRIx41A9To+Yme9w + ###/gtOjdrq+J3rIJfi6I9P8puG/3Ufu8fnRk5V0nkIpl34LIRb684/nNB55eTWnSKw + ###tt+v5fPO1paTy4Xb29V82U34dat2zby5M4QMZIVtLwKy7kwmBwrJE6DkXJsSRDJ5 + ###Ek6a1TDHJ8UiF8RnDmUGoo8rnOdWfw8BZe7eH59YjDgOSiWIUaLUNarZqdZ7ERif + ###sn2wiG5IKDYqpZWZwwlldG5i/obidVh089vbSnmPkfDfXL5yTvAaCLMmiCun2CHj + ###cjw75MHg6/PH78MB/imws0PwUKEr0gAxWJUIQpOBd7JfWwNCs5ZvSRiVbm5lHDXl + ###6QOcKLuAFNxNf/QhT0lO6Nt1+KFsdigwqT9KGriJF7ismRhkJhheGoO40rzL3ydH + ###FT0V7lxCqKIAxM8/FF2a6WpBp6yh8GL4VuaoIRYsXAlWdDYb0SrlOrgayTCI0G2B + ###5r/ywvkvio3mDMjlQH1l7VIMPNDHaRBPKFRiJwowwzUgbDcQnwUDpuOfsU3wKEpp + ###QVT0RdUFJb5xTnVV9psVb8XA9WvxYBywhy3mkEG4YUIw578EDC+pycRoZAKfLhJ7 + ###0icIkqehtqz6WCsgCgJA1rOOP+bC1HILOC/RDprNWynTVG6E0ay0aVZMiYJKmUa1 + ###RQI3/hIok+pMhbXpa5XMtybD6BPuR8EnJPJCD/lHy0T/Tj8p+Z8edEC8GA1a3WAw + ###eoIg8PPlf7cGoj/K//WqW2u4HpRz62uu9yz/f4ufZ/lfy//w+c+hApg5kL+8FkDM + ###7FkR8KwIeFYEPFUgeOPIXhDJfSuedMORFQYeH/XDtv0sFSx+Czfx8Aqf2TqGnb0f + ###Dy4xIGH9BfG3aDtA8rgfXQGnx5ILfP70/oMhHwdRxOKL8Os8DPtAoApA1vETvTo8 + ###AmRHphKe9+AFPTyDme7RRAWrDL+bKjOnfnsgk9KTt6T1al+ktUfTCS2lB8OksSoF + ###e2xxhGbM3zQEAbBEAZJVLXIja8GR0xr7nRtxH24LbXAq+u81oLRxLsoB/eAOWGWy + ###GXC+yzFUQbYwbAfIr/078Sa39/bi8uykdXK2f3CRp1fyjUirm7f1D93RtI1J5gdx + ###l/UB+p6fhzAd6oB+xtTjm3BsPcM7UloIuQ4oWOMCY8KqDRyI/LJuflmzjUOk7wQg + ###HKx/yXn5NvavgldkftoycNjZQihvO1sS7PBRx8vedl4m5buXzhY7+KF8xkux7bzf + ###0iCGb/yYnPRpET98yGhnKxyCcAbdcRry7f8evlQXpELKc7V2geRn9so1HST9yaif + ###I4x3hRGhnAcUhJchv/TES41n1uuqeI0YDi9MrhwftVAGngQ5Dtht4iolAVWLxNU5 + ###e23WaujF6Pmw87pozMtNOz71PQcEpExKbAFrDrUPeiCpghhs6vff0w1sG3RlAf4k + ###F535ITaBvg2AA60Qb/O3LkxitmmE0d2ciTKNwunhzBDDyx7vZtiBFLpiHCDhY0r2 + ###Mmq/1HP/DoosmMoeWW8Dp+ZgOw7hIbQMPf4txtFb3c7BSUFBrXGK/JZIRNVARTno + ###+bZdtIYKbx42Vt4rMwbr6sH2OrD5ArTyWrCn2EPYxHjWFUQS6Qec0F4R5e9hXHoK + ###8IWSys5H98MkunNcMOrnlZwHC8eTiHxxsOH8vNnIRwjB2TNEsz17dmxp/vVnJ/r5 + ###qrPLnNekz/Zx5I78+uCydXx29uPODwc7+7nv8azJGzEtEGu21xJuIZKONzVtqWvE + ###ysSUCYVOKVGXeEWxdwY88ME74L5yur183sY82sk5feoV8gPSpuU0gS3IhSngt1HP + ###KC1a4232Ra1gM8Jm5rsevsaFSOnjI22Bh1iB7qOB383hQS1aja9H0SRvng8FjVfm + ###4pL5pdUR/7ShxRtZCJikzH0pA6fa5xByPqUUebd6xAYTNtFpapPRX97hw2oGJkOz + ###EoiOTucccvaNOBxM+yDCsnkre9nFIqmLUzGgK94Y9nr0NOyaj2TjotUAeYthF1gY + ###1ba+3TAuW2CEhfU5lrDYSC7/N43t6x/ymGVcl0pYsKI71VYjEQXQLuMIT9dY3BxY + ###L2hWCX+Zz9Y3YmTD1fUPzv+Q43hurZwL/7ZuWQ7KGmYiXglGO0YdtQa92u3BA7NF + + + +Valin, et al. 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Expires May 3, 2012 [Page 182] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###N01QTcwa4rnWR+WWhVk089WC2ONiH8SUS53iqZfkQmMCcBHBAU5g2AOwSaHohNeG + ###ZyIHO7zaQvzcQ53q7tmlgG4KxRkglENIVgViSjhHVVU4ZMa7E5TtKL4FTLQ8GZWv + ###QcYr845lsoBoPKIixitAfBL1JBLpnppGr1tbBqbnv8/JMVyevSnLCO7G9LaaqY0h + ###3g4p6isFjSgmC+ngrjL/NWoRZ5xurNmjBG5m6kU2Nv2XdW41ZQrIxGnFETiNh0CB + ###gPhYj4f4HMfMT1cLyq73OpDxc4l5hCXuXKtMBHkOYhJP20j8JkCDIzq3sCWGdBoe + ###GicAHkXz7E0NFmDcNJbAfAM7wTq3cSGted5NrO/iMG8S4MxyuEeblc3EmpD5/gx+ + ###o9c3v1ybXya0JOZCkT9n1NQTWoVSm4KA9/qK6OhpFI3C5aOTtxjXNCpB4UkZKuRT + ###WNg0y1zrMkm6gM01k+1dc9kUdWCqkAEVQJLhIyBD8YMWwmZ7mwo+Bjw59+3WFnfz + ###pGCy210CXLh17LTBcLJd+584q/DL0TB4ifvKXcUY1JQgIo87xaQHOu18+vQHCBhg + ###peqZYDUfxMkH/STg8Xu/qYGM3+NmBOuBPVDpclOtCxTIG9uuX4wSexZL/CN+FT0A + ###tTiDR8aE41LmXQen9jC3Xnsp/IJychrx0thFnb1vxdptLwuvjFJl+fnDEjhml10W + ###XjjHBLysAwL2ov2daZOCmMNkyPhOq44w5x8BKeAKDIZ4NJ4Az/vPwAGyfHR89jqX + ###LyEvCwiNHD1bjkvRgEQip8LngJndBsayzadpS0ZFh86askkcqlgjeIx8wFu0rKcj + ###mdcLHpeb5vNN8bhJbW8jMhRFFLZeX8tqeaIp9HrTYEaQ2DMEAWi9ftEt9SZWAY5l + ###L1jJXv/7nAgbzbDNY75IaLLsvs2XZNtqyZNd4MK0qBMYatFNLyznKpu7sBl0FZlM + ###OtYd/mOvJV6N4xNx8qd4AcIEKCPfKHZgM7l0+FAwp7A+WKfIz2A5fjk63T/7pXVx + ###9H8PxEJ1R5KlnsMSS/leMIJqsXhoBrerOWZ6s72dZr94GuX0C+ajmUHFIlZdtWLc + ###8O/NnAJnHuC9tSXhR/NtKsikeSoNzhRjJdvI4hBFiwlMGKMLAXGHwFNl4YWlAzG+ + ###DRVaKBSIr8PEhh/48U1qeanmVgo2VNt8WuaS+A7baeboNON+gVPe2lL92ToZRXL5 + ###mGRJkWTHaz8GiRCkQU4f8s+gm2DVUTNTSSlecjnr9ff/D4eT/71FzDwNwt6OKeFx + ###xnDQeXGCvK1/64fkFpkSphPjQ5bUaDtjJLMGgoKSKWrAMcWQtAYXBfJMYFG+PxqN + ###CWpDVAUx7KLpAgHn+/9nky4cIwk9pqj1O28lqyBPI2eVLNrw5WFK0xsYGeVF+xRI + ###cxyJmMgQoamCcx8IudESX4khL7up3RBfR+HwZh5lVDKRhdKzFYJbTe2zRw7RJ2c/ + ###Hxj4VKTX5UQtUt6ahWxtYbJ0UnU4WyZJzLcLrGKGlK4JvZNJ6jWxN2Ez4L1uPsJM + ###BomafT7wfwmkuI/H+AAI0GA6SEZwpMvkYIhRTWN9sywVc2LFGZEm19PY6fkRC4tt + ###qRnDOLdRFHQm/XtA7is/IiUZdkCKRdUJ38kyptjSY1mxDGonEXwHSJFs2X17myYH + ###kza3QxFK5mGnMnRgS+agwO/4cNvghotG87wj+9KnEIrCMSRYjbmNf1b6ES3VzNWF + ###QGszlCDUD/xaRlvRT52FvFWPes4tEt1PqN5USlwifawZDCdajyKwwVQWJuno779b + ###mrQZM2PGwepd9Q0VRWJ7qZyErgeYlREdXYSC6TH8y6xD3+L9n4Ixmc2WZDIlvBB7 + ###/QB2BoaFDe46iP/x2BdWH363Sy905ikNI0csTd8XJ5Zalu/MGYlJcsJ7tIPNpSmX + ###ImpJwlQ2CiTpmtagEmC17lRqEaPg73A0jYQyUThoItX3KRRridT9znS8YniIJ+9Z + ###Ujc2qTOCa+L5IftHGlHub6pvAtn+TqiGQXNLwJXiyYTQRQXngGE/E7CbsBVUa7jK + ###pLxG0jUdTwx9qZ5iSdwO+xMAwWCE1zoDvJb2h5MVw2f9YbdV33/fJzY0/y9jMAIT + ###m8h99fNW1sj0eSpf6AAGs++8EoMBkfb3JOeld55u9PMLVm/+0dZbX/6Tsv8TIdqf + ###so8F/p91dy2V/6VWqzzb/32Ln7+U/yfWe7YjfLYjfLYjfLYjfLYjFD6aFJ/EcNKU + ###35fw0mQv+vk2hINuZ/IQR007POzB+dHZvuNWvJrhVCocxdDckZwjANkRU1sXsKgH + ###Z/DYkW5ERpZFJ+eigSSFA5pVAjM3/qcj7CV19Cfq9Qww5HjnjRqe+M7xYpwc/wUW + ###9VMQ9f1xPlX/8Hzn5ABVvjpljnySbANBdoEKF9UIwh4bAbI27Uw4qgrleBCXtKa3 + ###kYq32g3ujHeJeyEp9M1KFTJGNavzBpM17Im8IehMRg5kNH4i5Kj78j9OA0xjwYEU + ###EgXIK1OMOhF8lyZhuAAd8nhMPYsjoCnC+5lvVGbQ1BtMQalfGc49DiUpDwbj6/e1 + ###D9lQc2Qi2E2SiApbzr6eKwWCwEwgL8dxMO2Oyh1gQcj6CnN6vCQnqcRgBv7d8Ulq + ###iMM2+b2ewDKnxx/LVxe0thkT38FggD8HHRBBYJw0Sp1pBJPIxNKyCs7IKLxz2gGc + ###sSLCWNZyw6x9q00n2SoJfCL/CmcwoVh4wrYuosh1ZvsmIvZHV6c8j7RLnCEbIdK3 + ###+qPRzXRMn+mhxj9HZK/5jP5lz3k+/jQ/afkP6f1Ten8t9P+qYbAflP/qIALCP4r/ + ###s/ac//Ob/Dxe/lv/X5f/41mKe5binqW4ZynuW0pxRmhZtPBHtyrnZB8mkPCwIio2 + ###jclx4HS1JoNiO4eHhMuTEdpjD0a8xXH33Y6imxXnaGJYoUdBn3wC0D5/EvlIJYCY + ###3PoRXhBgK+P+lKz6gc2eTO6ByAC3iDQCOnHwpkPsYhwv0J6+3wnYcPbnUdSGZ1gs + ###J0g5vwju0Fo2xqAwO2+O8iU2q8VGbn2cCfou0N1EEMf36jaBXiKLCAQJuMnudNwn + + + +Valin, et al. Expires May 3, 2012 [Page 183] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###Ik+Uu0skKTeg80hcmqlQvtQTDgM52/tbHHNeDjow/MZC7dMAkKMxh8N4HOL9HJr/ + ###5p1DH+QhoKy70DwA6O90UmQtDIDr8PDkzcFrcpsgQwU4lJSzHJ5owKrD+UW2ZTAH + ###OnKgQzQpF14UnC2R4GnL9hc/Hr0xs8E8LEVMOlNMWpi/CeO41eslnrbk49bVdGIr + ###DdK5YWY6JGLJ0TihcwB2q3PD6Q/NKE5msFURL6I/aZFQQWbjpnhR6JPJ5CnHdwAZ + ###je0zstKvntboI01ncht2u/2ghYBHIRkOp6tNyx3TDAWrWvCap5TqVAcz7Ze3MRL6 + ###KTV9WsOP29vepnglx4NZOcVHemXEC26qF6k8qxjJ2w71DU3ewEpwTGNi13FdOKI8 + ###9ru9HZacCvw/I8TznPoSJLHdUEnVqXzgeLmEjAenpKW5PGrtX8BJuVuvG4PWvTSb + ###KtkI/2hPMQ3CzwJYuAYwLPEnl7FOhTyNmeebO60V3bwMmp9ROq8zJYjWreHooZCM + ###7PwiLueD4Wh6de2MR7DiwhojpmyuZNszDPDCGnkvESd+Fr6YSwyYZ0SCxpHwCsDx + ###9Lr19s3F3s7xQYED78D+QZOn3P7Rz1Uvt7O/D78vfkCj2YN3lwen+DXMl9y1fOnU + ###g39WWOxluswEFPSa8wpvjgrh6ml+Mx2q1zBMUjuxg3f4ia2Y2nbmiIztYA5NYSFF + ###ZdaoY4R2pjfZ+CAWli1KVQgVi4KImJ4gmPDxRoQbjrz4WhxMnGDFjyKfFtWepjgU + ###RUi2BOVxFGmUdAQdl1MPdSAajJwu5j1LgcKETCjLRPZXhJlMBBsBY51N3kpAn0rz + ###qByiMb38eed8/2DvOJcYacnpMdQv8FS5uNzZ+5HJGuAN0jnxZXu7qU0roU+meW4G + ###BQTG9mwv1+OBJTrLy30Ho8J4UP+v6dwRYyE2FulZ9Z7CwrQNE7sm9xNys5duI1dZ + ###WVuvVzfWXejPreeLsD9WT43dIWpnbgBC/tyK69V7ohKfljzCPViqkIzBFbYAp9AO + ###iPEaYQQu4LN6IBc6bSBMN/Er5z2muyg5GDb/g1CmIYURCxxfT3s98kcc9WVmAW1K + ###4lwGgzGTnyAi04wBptIOUcYDynfv0M6TJhs4hLAPY7slZin4OwCwO0JeQlldMKbN + ###wcq7sUsh8os5gXbb2646QJao7XHtU6/sZjYxp/I9BpTvbc7cE7rkLQ2S98icgc6q + ###7GVX1jYisNEFpdLvvfyMCP6wSufoko++X0Q5hleABcDulbvlzjnIYQP/KuNlu+if + ###mwkcCvfjYhEGdvL2GDC4VfVaP7n1XAFGW8JFeX/qfcDAkKnXbqkAUDfTA8xsyS05 + ###UNbNY6HyjI689+VTz8o2ADWKTc964JWtB7fJErdWCWlvY66asmQ3F0PA2l4HWITT + ###WvlL1sEvt2cvQ6fcPXey1gGhmgFUBODywPmcnMi3GbtTzlp7xKLyLDTyCDeWwyPP + ###wKNslCRE+ip49FnQzzdRUI5GExVMyoDnA0lMtgwA5b4XDAVwu2nCMHMpk71HGPZu + ###UHLu4Ui9N1PpRHgC3Y+N1uEnHPBD13x4j0mcyhctAHQOmgOOSBjUw1LCRnb4DXQy + ###eQ+McDnMq9dmI6FuhIqajRRlI9T87EYA8Kg/QE+Fji+Fa+AYUXAewkkEJ9JoGGTi + ###JEyiKDq5D0t4AGfhGoyyLEtFdimx/GL9E7qOEoUTKJM7dowa5trqqRiGZCoVP8nT + ###Kjma5emM75xCvpd+RFlCJMaN4gmjXPAnOKd7YzpolzpWkezKDJ2LynpctsjMZSGH + ###B3nW+b/khvkKoHnEHkztPdpRjGY93GxppFfI2sMdam2X5KayyyXbKSf6yWzncfvK + ###5W1VnrutPN5VxeSuMkoBLhWbjkl4sW18VGA0sN54mHYo+UbT5vMDELfOlciQkhXb + ###fufmW0lRBtP3p5GnZr/3vrXAJUp4f3WZTPECfwbCLAWoh8tMmSR3ITPjPZ44Pxkl + ###FWwFMpAlx+IsJNlBfnExe5JsaBYtFa09ISmVLMp8WipZlBQxTXK5abrJzG421RRo + ###fDQEwgQDTrA2K3yxgoMWVzaF4WhSIIaHw8+Qj2GInqN3QbdMyG7yPuFSzI+X8WwZ + ###5mcRj/Iobvtrsdu9LHa7l2C3Sf/7d76IQQ8dZCc9In18lSPTQIbo3oJeihhLbOgM + ###wjukFHTHRqdNbCGZwXIkefjyAzj4bAa++PXY995Se6O3cG9Y0tt+UBaKL0V3oWPU + ###scvgCQPCEHVpyR6fo2H/PoF+SzDK7gwsnFUeyXGPNFgPJ8KEsZQX0QmdLWQYnGy8 + ###FdSkDJBzM4gMPDb5sZ7gx6xHzIil4YuJhuENniPSalVyCAD6k5DSz4LU3B5Nrh1U + ###ZjLUL/d39h6ytwmsXhGQbRk43UkpZHnAqgo1OY/VxGG3WDv4YIVgpg5KriguqDGW + ###WUvLc02sLDzkUB96SfV3S0+0AHOSMLuzepE9W32hrABoVWxm64VcayvTQBHbMhWE + ###VllU2BSt715iTp+XRidPotNSyOQpZHqQVHtadss5cw2X1Bj/4QjlpWkCPLSA3zO/ + ###fxFCWb3Inq2+UK4EJJmhZL7zEggFlTPLesmySyJUSsb8o60l//f9zPD/fFID4Pn2 + ###v1WvulZP+X9Wn/N/fpOfZ//PZ8vhZ8vhZ8vhZ8vhv5rl8EOtQef6fYqoD+Yj9ApL + ###pO6cYeeZMOnULz5O/SHeBAy71LYM1JzyMQuwSH0Qv0drtX8Boa84eG44NfjXgH/r + ###8M9xbxx3xYN/NfjXgAI3jgefvZV1pwrPndqNU4PPdXjXgL/O+o2zAZ9dKOfiQxJ5 + ###KyVoCP4BR+pU4V8N/tXhXwP+rcG/9ZLjQhkX3rvwzoXnHnz34LMH76rwtwbfa/C5 + ###AX/XqHyFvNrgJN0RcdeBrE4pjk1OBAru3zto/PtJmBcLg+m8maxv9+iS9PQUVtBx + ###XWxvN6QYMqOOsAHHMPJIXaFxDi/mrlY9NKJepfxr/z97b97XRpYkit6/+RRZnjtu + ###SSgh90yZpQdjXMVtFg/gqurxePSESLDKQqIlYUNX+332F9tZclGCq9w1c38PqgxS + + + +Valin, et al. Expires May 3, 2012 [Page 184] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###5lnjxIntxInInZa35mdp7Fy8dE6PTtqOCbted28Qod437f8x0P+2/1acHnzIcClg + ###GZMe/INljWHZoh4vFS5Z0ONl9GV5H2rUh0KwrF1uPOJ1TgFvEugkhs8xfI7gcwgN + ###h4ArgeAJ4s3yRrMuNwwj7MG/LDEjTz1pHBqM4V2UyuihoyDEgxRB1nKj0LPv9+Bf + ###AA1DgR4UzKCRLJRRw4iShLE1jrhhPWoo66cyat9qFGDmByn8g9HCNuARQ8EeFMri + ###5Q1H8D6MBd4hbx+ft9yKH0FDITQaQqOwn3w/hIbhu+fLqKHRDBpNEwEHNBqnJViH + ###DGsCBzYaw7ThpR8CbGFKPvTqw5R834eGoVAPGu0FFqyh0QQaTaDROBYsgUZDWUBq + ###NIGG4KUPu9yP4DP0yuCARqFn34PnHjTaSywMSS0MUYsI70PVKMDLh5c+oA+POhRw + ###QKOwEIwduIiJoB40mkGjmV+D2zGNdgV2abfpnw/T9wHVfICtDxjhw8L5KfxN4C80 + ###xoMJeaawaIhBRMv0VX3Lp7Z/fHTw1xWn9kiwwAuA3FAa0XmfDiqQ8jvq9G9ZwfF0 + ###sJCC1tWFslsvDcEpBD/ov9k3EQfgC1AjP/LjXpDEoX2Hv3rHgMzTlxxvLIidwmVw + ###Y5++vAXlwwN9x/n4w9+dwe3FaEolPo8uFnSR5YxSOxBVlyQ3w+HselBMc/P//jKd + ###r5+fL9ZfDmYf+68xsUY+Gd73T/HoYe3D4rqQCvflzslfKInsKQxsKdM8x6Yuoal3 + ###pvyqzzScDSmIeg4hExF0/BPyHyDtfJoe0/YExKI/aUp/erwTvIwLAe7T9yijPym9 + ###hfboTxhwISiD30M/pj/8LYroTxxKdwl/T/ltL/aIZFJLsOG4EH71EAdl3vZVdDw/ + ###uF3kfZIX5q1C8IFqsk/8PsvlRUcFHJBzf7vZvBiJYNR1funiRXz4hb4EmF2h60xw + ###6bqSIwAD6YudfQfwg5CY1UW6ThCsxc71nEMBiH9w8YqSFYGBLfF4YeH13NnawqXp + ###WDNrmxkVLoro+cB6y3UIJUW110sP8BqHFUROVbPuVUgFA5R2p6V7WPXbbcuoqZz7 + ###rff2mZ3uge8e6DGM9NGbXDCwoK6Oi16PRK00MThL21LkT06AjN7XKvEsBTEQYNIg + ###ab22/A36u2m2CD9Q40W4m43Er/z3ncDZ3gKc0nM6n+WDj3rJaZh0uYwj6I3wTI39 + ###NnMcZGu0lq9ZBTDSId30kih5gCh4jDjpExGxBw1NAWzh9yYNBT8ZyBbHiq/8927h + ###wXscNqC8tRbWyDGIxFapiferUHw9aK/DH1oKRHYoRd27Y3FvsJENWlnFQvTi63Ep + ###aMthM86GqxcvDAl24CMN8AOGsIJjS8OubQOP0RLGZ6OjjYvi54N3g6aft/UdK0n7 + ###saXKwksXcADjvbpOAVqunB/DkE5lLGwAmZfxtDIsAlnlthdQm8VgdkW9F5d2ZLvW + ###naB9DZ1XMOU3OgFwyHl9fqsmuQpDoQs/3Ogqz2w9wEVur7cCnFO7o83+5YlzfZk4 + ###N1HYnnsTzhNlR8tVayKWsnOyBM7uqwDQKGCvjkECXKFNZ7SEiowU2BshITV0T++L + ###6E44/b4OFtYwrMrbTon2LunClNqw5uzbc3b92pt+Gu6wkW0w6M/6KWZkqJ7omDp4 + ###Dhx0auu5Vi/t9Xov6xPMoZhzdNbrm8U9Y/FacRV/aVpHey7b8vmX99XlXF395f2W + ###VbZIX7Z+4T1fB8MKBBEj8ZovB7Qhu+Z5znmc6N7OYGIFOIUia5Z3lxU4uxZom1uV + ###lXbLT0yWDB6Ljq2jhjKZQuewi9RgPo9k8yCuKJeHm1n+aTS9JcefB0ZYQJPNraBT + ###P3bh1uxvVGK2pWxZSqAyRoA+GRko1ztFeepQTCvLVxKEI2q+FHGqEIBIFb4e3H2t + ###jCLG+RwTB9iBkqCJgoWE+hgUC1SZUDGSa6dVaKKj+hHB0Fwdtdut406aMe1+yIcf + ###OZYSiPsXeNXwmqCmhTruo16043eFgFEFBLeoZ9PAS9KXPXimnmU7j+Et3FAJjJWl + ###tOZt0Yz9S0qoyHkPrcmTvJ3PbqZjI5HRKROhGp6zuHgcMnRpr1jmLdKh6LXwUi4h + ###QbAqDKWIDmXiQAWRYv2yWYLWL7WH44iuH+1Tdqz/Eep/3FRYvPGxAGersqx1eX01 + ###bn9EZsLD0KSxBhNez9eXoYT9IyKd/v5lpTCKj9tqwK5frFvEjBIWAV2uQ5WO3sOr + ###jmnXdqOjpAZFYFiK2QB0u0EhXjOMA90sfis4QDRZDufiyLArz6nuO3td3N88kI2v + ###hW1r4HWWw3cVB19e6uafVYBkY4vA76HT1UHBmUehS8Ep9WYGEwbkefafk2ftjW+/ + ###0xyM3Sdd/OuF86z7IMD0kKtDo5Hnd6NFy2tvSNS+R1Cy5tvihuPR+g8p0CGZp/pD + ###2HCL/DHmhg4Hoy9cLagzPsHbIofdYn1HaillbEmovWp0PqknsQplsdhpBuMVfKcC + ###Fvy4c9LHM8q/nrad58/N87ene32qtdNWjOtqPD0fjPt0tlPkgVdTzBg7GI1vZ/lG + ###NdbIUsthAafOjgGn+HWtWvTLRhW9omW0WxtPLKNiH0+tUTJC5vv8eXlntczSbW7+ + ###0l5aubDlO7VF7HCQjfxBkKM0EsYZwFZKXnD8lyJdEflNC2Sdds0Ylu/ux9pRy9hZ + ###GW5xlC93XgEefb9hSZiMwGznFZaPMXeuplM06aCKqBI/k50M3S1uxS9AJGEQlclZ + ###YM75Uwa3sAEHJAiM71GcHk1gK4wudJxOXvVNPJ/ynH/8AzYlcNleAt+qilYJ8stn + ###U56QAiW2YlAGeo2oT+vRNoW5LT781+C7rX/GaNAIhZ3QISBlkyENw7+ek08KymXa + ###UrZmSaP1hsWOjxDcVAavbzjUB/pNY7azIS2yoPuvftLeKsLt4BD6DLlVlVdq+XRi + ###r77drLbZ4JHNht6SZqPaZn2r2fI7z4IPGpOQfsyd8XSilcVwLfyaxbSGs719cNjm + ###wf6TVpRUnDp1SxEpS5Ui5tbAPhzFupGAUwxhgcmbWb4OzzHc72AOVOMivyHjKmZF + + + +Valin, et al. 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Expires May 3, 2012 [Page 192] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###JFAI2xbujj3Fivkyjw6Z7yaK97JXv+KNoWaQeI9HM2NiJIpZMk8NiE9q73VmhYHw + ###MuZ4HvIbYYvMPLGfWDE35oGh8LVU8Tb2wRfWgwyK/ZojxcaY22FPsTAj4Vkh86FE + ###8SJxlSZewW7fzDDwsoJmTkRYFfNgHhMw30gU7yA3aGRWmeYAROCFTTAzwX5iReyZ + ###J4RC51NF68khOhBSzASbGI4i60z9ceixIs5Mw0O5PyC0eYU9phXtDDUBFTJM91mI + ###FkeKmDLNDZiOIvHka06ZUMNMU0QieOpSUqxoZ6yIH9PIkOke30cJFWkLhDQxAfPk + ###QgiROaaGdENCESumaeFDdMq+Q158+jCdKtwjF4Uv0bSIqVCqKJEoXonQmECUp0yp + ###R74oQKlWcUSJyZSaIopIomgCKxOsPXhMB0KhBT2hArGiBL7s70jtcY+3NwnXmRaf + ###WUBORAT2RchN1c4UQTXhPUeyZ6x2pC/7LFJ7zZNtFqut5vP+CXkPrfRk90RK2vJ4 + ###X4SyN3oiE8Us9QjmsyDDkosnskmsUN5nPA4Fl3uCxZHCZI/wkxh7oli3MOdMY6Aw + ###2FSzUGGSmWBWMz4ldehU9t+vxabEe5dYtgThaxGjTiDsKRZMCYTLxKKvMq8g7iBL + ###H2oiz3Q8ElIt6xoKxWWiSmQ0lhUMhBrGIncLTYt4eQIhTRxHQG4cCkkReIdCGQS8 + ###odrgAsyIt+kyOJ6e7Zzt6UsM/SI8Ky+r9yJMciv9yarAl3eR71PsXmcChTAGBd7h + ###lkeUiQif/Ur00GOc8hh0McFE7Cp1l7e/dLENjnY8x1YK9qIu9cBf1cvKxY1yoccB + ###ym8ClP+1gPL50ldUAZTAqQKohOH0MIA0mJylgOJu/1mACpoAFXwtoAICFKFJEVDB + ###EkA9GpMeASju9p8FqLAJUOHXAiokQCWe3mcKUOESQD0WQhaclgKKu/19gCoBjPL1 + ###qYta9gWuyotl0Wgo0ZoaAl/YkhgZD0XoSDiIR9i14nzEfDTMEUjw/I5CgZD1Lo3U + ###yTD9CfnYOOQicqRMlFqHF/G5HhtLEzkcJjusikeSpGx+44AiCR9F8wktqL38h+yE + ###QRJ4VISM3HgU1XWU/T+I+Sg55hnFpOLKUYGOjcLn2DFJ+3yqAH9SVpx50hEft6M+ + ###jkX4EDlkNSPkQCtsaQjQcoOxWHhkHNiFjzXgD48FDXxQhJVdPgGBP2zQZtt9gILr + ###ihyWwB+Oj+GRwga6BDXmUegYUFGousenzz0yafARTIjhcyh0DBkaQQlgYxMHmclI + ###2QCtECcNQjpVT7leyt4ZKftcJCkFoKEzIPhDywjjowoxn5Cj1xoUick440dkzfAj + ###PkwnhR/gQOYpnwxu8CdQp+P0J2FbH55PhL4YxUjihj98Qu+xzRNPNVfkcCv0ehxS + ###pxezvYSj7uBBGNrByCzlZSS4eCkNiQ/N4A9hnZeQscmjQEBywAZ/uB7iBBQhc70c + ###xoUe2b/hT8x/uAjblDw2j3lsgPZIg+BDPiji0ZmB55GluNcTWwjpsb2sRxbxjOyY + ###vYwkTnaegz9kd+vhOKEIuz+xHx38YcediMOyoEl/RVzq4A+p5b2Aj/DJms8HmGh6 + ###J62tRyGY4E/MJyukDmToPgXiFoVuwghHZK+kg1H4E/GJAsalgD+R8laiP+R1lrEb + ###VIb22hU5cIU/HDWJzjXgD50y0+HsCgaMojY9PvjokdbCB7lBCt2jvY7iQMG+IesI + ###H/oCPWI7doyWQYxJRO/ogBiP6thiS0dZKYWXkcNkGAJp+CmfcaRewn/wgARIDx/u + ###ZATPJCNY8yE1UKAeR+yiFYPOyfBGHn5AiNhsGZLZNKETKXH2A3rEJg62xCceTZoP + ###yuEPn2ewK12csT6WshlODicTUqEAIcnKyt6AcUhjiTmkVUw7Rx3Ws2MM0DGywUQ9 + ###mq0c7Ee8mlGa8h+6/y1OAFFMTUcRLUAUsfGUjPZA8ei0LZKQA74EiyA9P+xRmKyQ + ###ewgzwglxRAgTaixEpIUicaQ8BsmswJpXyGEvcHFWtIODx/U8MuwCYisvB1QGKV5Z + ###wLwj4CBWyvcwiCiqWhDx2R03LW6IAZ9rwhTIVOdx3A32SPTZmc+nU1woSIEQxDnR + ###jwM2Q0RsZ6FJk58iFOGoJD4boIEgkQrFLotelnpk82GDNUVWUw4kXkwHAx4ed6KZ + ###nSYtziYeR2jwuE3PQ2QQxxSgiRwJLeUDoIQDo+A4oUhMpsseG2V7IVcIJCBFSq14 + ###fB2evRrYOQaDrJGpMg0pdgOHY2NHGgALqdhZyPfbkVCviNMN8AwyxmUeVU/Z9Ze8 + ###Ilf8lP0eAJz0kL0i2EES2EqPYjPQ4YmfBmxCk3gS7K+Q9GgsScaHmCkHI0nYlyMm + ###43iCxzUr4kEJhIQtFXxLPhGTLDpTrgCPItNanJG5HDYXab0Jn2nGdIIY83lQTN4x + ###4tTkx+w7EqP7FxqzyRTADlDA29jumYg9lqKjsLOUHxF/gD9kmI04qAI5VuGFfT6O + ###7rG1PeMT+JSPihA1VmBrBWyN4vg0IYd4YZNwiOY3KOKRFY6duwAT2U+bxC0faRBa + ###xYgc+kEkobj4T8B/0KqJmgQfBfT4bCfjPyk/TND44QNgyOQiB3mhnOfJAW3IIWFC + ###5XFCphU+VE7lbBlDBYmbp+/JWWzI1m0yT7LHJxTx6OilR8fbGbkrEFB6CZrnejHi + ###SI9O/dnBrkdQ7ZGFOCOfQvbDAzaFlqgEbShZjBud3fUyOkjNiElnRGLIq28l7ZHT + ###Cjk4puSLxs5/wE1iNAuSGYuOs9lHMCVzY+qhFTUhvGJXwiRFk09CcfWSCGkzexwm + ###dNCXkG068XAM5EK6AgSfLFa4yeIEBQl2JY3RWWAlpiOemEzK7FIak9AQIdqgUUH8 + ###X+gYiM6lySkCN+kKu5hGPsfG4hgUJDOjq+lKmLJ3BsnN7HvILqd0+hjyWTTzY4Jq + ###kBHvQrkQ2BpJLOTQGbAfGJ22BXgcvxIogzJTHaIvZLxG91CMe0J2WIppQZBhL1Kf + ###wxN5uLd6KOnxSpCvEAaCjMknhGVbst9HbCFEy5WlMhUUn929g7NDirQPvyxDQ6Bt + + + +Valin, et al. Expires May 3, 2012 [Page 193] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###Mp6oX69JebNUakkUTVq1sdNMzvdeDiYX89Lj/PLSPP8VYIToQ8ZVXJOMzP9fROXE + ###8jezPL+++YCl83OoF2NSAv02101Zaur14O7gEJ9l5tnk/PTDdLY4BJ2uPPy5enGK + ###2ebwnT2JnfF4Ovwx10orjqE/wIeS/8AMZlAqKqEV7SL4CF/pSKdmhJISDqECQPBI + ###uf71eZ2RrOvUPfbrHwf1j0OCclnF1Vo6vqChkA9GIehitxByr1uIR2QvHD0XJX0F + ###vh9IIgSAEidO+DQYjSkBEIWVpUizoqKfHZ/tHPQPj1/tnTr+EjTtyAMrZnIfcy28 + ###syqztv68gtFk3Pzvjv5bn/+bYtF/wz4eyP8N4mtazv8CFPcp/vMf8fOU//sp7ctT + ###2pentC9PaV/+uLQvpTTfwG4rWb7pWTnJd30+b04JLoli9jGePmZUzed2CkTMSIgZ + ###PV84FO2fc3tiPhNMWpw7kueUsohCy1Qa0x5zwsNqAmRM9EGBICmlqsrBgmPGeP46 + ###+wrlFuyW0oviMLp2WkLqqb0Bg+ccN0CkJPWjczX6lE8czLJ4Ocv/dguNYsZfJIec + ###dXWFp1P7UqcyRwKXzyYk5UmySZMJEjO7cApyXNsPkn7ZmU7GXBIk/0+j6e1cJ6Ok + ###5LSUwHYBJa9xCPucJAYJKnUCYIWpYs7dxbLBdZGt5Z9yldJ2MZoR3VWscHzzYXCe + ###Lygj9ngK4xvMC6nTMe8l5nI0w5FM27JO2JYa+vheJ9e0wcPJbWjo89ubm+mcE9xc + ###TLFP6O4zNE+IcDlmNACOcDseUI5JMyeRpRV0VPZuzEl8iZiFQ5tOck6doxNZyni4 + ###+Q+Pbx4TyE85fSehP66c6UE3f57bPdDP2fQqJ/ZFvArmJCySt9zcSiL9Dl/CqNqI + ###4zottG5bJSflrDqU2PNyoCC1kA1ze632i5rKKJ/beodMqLh57MRFpa2DY7K+fLC/ + ###LDh70d7fbkcwKEzKjEmZdIttNeXF1pa/udlXudyLHcPjyW/oHBvj7k2CKkwsT3iA + ###u2ng+Ost7BaUzps2igx2eqLzHFdwQOtXIiTQCtUpDQoTDOHRqDUGaplBUE8/YK88 + ###G00+5bN5/szZffXaoZSvTOReEHJQQmxQLNWqSXWd3IrKjoYXl7y+hdZgj94SjgxU + ###omholnBC52YlxLKyuL7rz7e9P18uXGoTvrn++xde13rwvg3SL6ArINCCVu1ycW5l + ###lT1TaZ3mmspdT0H0m04kTctkOnFhiwCFmgOEu1rso+zzVNMajmrCEyQ+r81zC3+B + ###onBOXJPEXO/ZguhXZgowqbp1nHfrYgt3qHwBw8/L6zsbfDa1oK38SouvFmHWpEuV + ###KC6o2q5molJO0TFOLqyIZwux9JqJmuTrvR7ctQ2JQXqiYAnVxzkCGyox+CdTq3LQ + ###6YSB65cBhRyxBKgCp4SNWPy+qCA+kxvi1wgkWrp6wLAkgO/LYKlHgEKpmimrLPQ+ + ###TRdN4ESk54Ad5Xliew/Ms2b5j2HTfZ6NFjTRy1wmJ6oevLtHO8yM7TsTJ78DjKTk + ###7zRtWITLBeeFvmdW/wn5LHL7exg6jNtiGTyvwUeUhhaYWnk+EsbO1aj3y/HgilgS + ###8ODJQu1X5qiw9KS2rWiOMSMADoaYBg4Hca20WucGxCjFyD5/mI5zPWISEEZEkkbU + ###lOx5VF9ht0PLC1R+EUq3IEKMYXsvcrXaNB1sV3LPdXWHMAd4ju0hV2ZRUDEm3AGz + ###a9BEsSXFdu0WWZbcn4AAg4LIJeXWHtHkPk9nH7sG8/uUIZwXiXCkAvIVIwo4t3MZ + ###q/CHUS67ECdLy4mpsW+mnxkjF5+nSvpTSQpxuwIWjC7vS9nGVRe8F1DcubwcAUfG + ###RQOChRUBmjiY4Yd8+FF058EC0UWrzrQ1AP4vnLqN47QERoWpIwaTtQKIHXHKYmLw + ###/J7lh3Odcw8hLXBFue56Ol+4diPQH3VAg6E+lu3UqdorlVzkarsW6FFW3qE3g8Xw + ###A0nzoE3U7VezP4vceGJEgt3p9c0ATd0kuQ4WAxzYJW4QhtUCs58vSL0wmw4GznIe + ###8c3iHs+BrgiHHt7OZijqCPqCyIobm5GFlrJUfoLkQsrq/qAZwHu0aSBM8sn8dpYb + ###49Hgegq7ChvgscPzP82LJOMzpzvm3GcoCZrJYYeqJ0uXslZKlK3S8Apc3louShUP + ###Y5zeXn0gDYNzqbFSRjCSgcmYiOnUMHlY9mrWeUUpcbwlRJh/mI0mH5uItahvpHxe + ###oGlO7dwFEUQmVoxrWk2wWckOAA7pHSAbjKGgimLdS2AhH1g3IVFf3mtg2YpnW0+T + ###FvbC1kJsMgEFblHfGVwBCMszvgCWXZwvzk7Oq/67zbXf/KfO/o95Z4ffsI8H7P9p + ###mnhl+3+cBk/2/z/i58n+/2T/f7L/P9n/n+z/f6D9H+8G/LDz414fJvF6//v+D1Yy + ###W9isl6MrSnCrbxPUHADo8lNg32i/nS2KSXEHs+GHZRnlrWy6l7PJFVA5OT7YESOo + ###6KxaLEf7NmrIxYzl5wMUom5vgET85xB0jV8PBzOKDsZmU6y3mOdjyY8+Q/o2nJKi + ###LlL56/3Xx0CMgXwANSb3igtSQZnGUY5hbvjNYJ4mX4yxnbX90fUIZFnSq00bSu8F + ###9flumN+ILVJrw2jzRUMO0iyidKMrMZEMJvc0I7RbzBd0CnDJpA3lazbigJ7BCv4l + ###aGFoTf4AWgCprtiWCNbYyBw0wrV87QXaQ0GUbSuFY3ALrAyEUKS4BFPQiWeDK0q1 + ###vCCrzf/+z8vZYPir/+XX4Mt/jqdX/fNWcN7+3zIINjL87/P/jf2NWLXiQeMxgS3V + ###wz8QfSlvszO9WYyub69Z3QVwXd87HyfTzyAh8yEFHz5AcyCo39yeA99AifsX4Dia + ###2RpNn8auMYNOSuZ5DrNZzNAiriECSs1g5o4mlOM5t4yH1mKR3mYUNjFV4EiGA5A4 + ###YBBosKBFgKHNUKzAlkEQmc7mxGH2Xx46rYWGLGho+fXNeHqfz9owgE+kG96iqALT + ###BqWWzONo57jIB2IWRXDgAAoQAXXqakrjxMHcTgB/SHNjpERU4cbmyGpJJ4PloVOX + + + +Valin, et al. 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Expires May 3, 2012 [Page 195] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###Bt3zttNqDdqbLfjwZwc+vYBPbVNo52dTaLtUCC9hKd69xr4NcrnNBN4cDvDseDB3 + ###8hHtcgo7glR44FyOp0hY72/4+A+IiFTHr/gYpwX7/na4cH6tNDnbqDwabThf9LPh + ###zd0GRdfQnidmqOR5Ar3s3d2MB5OBOrO+HgxnU7yhB6oXEDGiPmi0Gud3SJ0+MI3f + ###7YPO17ruEljUzwvn2tlyBp1zLvF6/+dX+z+2nKHTBdr1yWljidElTnp0h7xlijIw + ###npGvdaHQ+haWWgN6O71havh5NM+5KdgqLWR9wJ5Uhy/wO3bnuM65LvX65PiQSkKf + ###g7Yq5W6xL8xuf+fVq7Nju4AqskpFOgws8hSC4e+96r85hr1V49+zYi4On+4cvoF9 + ###+YqvjOIvjTn4Ck3JGIcnjbIwiVIT6eSn/Vf0jqKHmsdAxPpv35zu7gCh8ldKTcFm + ###clWjNAZHj4JWhMADH878pB8G/X/349Y5TrRQtLB4/7mimNKvTuu6vTYDmAIgQZ/n + ###FgHR12ZdQPW1WRtgZh6O6OGo3d7QbeAPtjGCNgDSNW2M6tqYYRtfWDPwaoa62zTW + ###+n6+bqzl+Y7q2piZNhrGGjXC9YeT1tfBthssGzI09XUgpqYaRv7yr4hzOyewYbvO + ###3CnNYMgzkIblO5fbKIxvyOOzC45UwSXdA5WQru+6H9vWdFt3bZwqt+TcdZ2W2jRu + ###q/Wxvb3tt9vr8GHVd8oTEuIz7AJNsZu8mAIZhR/Tp54LltxwCtDmn1LZkaML83wc + ###npD0zVTGIlf/uaI6bsEz6GuLF85efeiXX46slwoLFAYY6Fl9FUljtS/GtyV9mZcP + ###91UhnpW+9G6U712HurU6LJWATgfUablPq9MKUX+425peZaLFXitTXfkXNC9x9K/p + ###wuYAJGTUEtsWTrKDQoENqgqBtckAja9DiwHMiwZD30bWTlL73JQdOatW2dlG7RJV + ###qeWyjlcf0fGoMEgZxkb9Otm0z55/474EQB8dH78hrvs4cmSIUQfGOG/bI6e9KY9t + ###6JTCg+/+sLf7l/4xSMivD45/6h+/wb5V1+V3sMjTG5wT4cSUIt1VGsSd8Zj9X6It + ###1c54m67KRn1M6ZGUHpVKq+1PLa4Kxuh9TzVXZTl/A3F55ETcr5qI+/BE3NqJuA9M + ###pIFyPTwRoSmrQlUeV34k5ZdMBqVNas6iUfJo9Btp4WPn4X7lPNzGebjVebhqHtXl + ###oG2DG4kWxFFnJZZ3vi1zr3fMttT62+7xaevmw2Ceg+huS8od0KOmsxaqcxyMH3U2 + ###lz+uxav4IaO4gXNH6rdRwat2ACrr7+lgPppYHTBZa5oDtwoNKMGmYw/xoQFWa9v9 + ###W7V/2Dl43T9+jfJUC36h4IS8DlZDRUQCfRyaPnxV26c14v71dX+eL/z+zbyF4FTP + ###HxproR6Msq5eaZQdu85afNluM39+YIStkkbctob5wCCrVc1IG8aJYzNMQVHPj5f9 + ###YX53AzKttG4LoWXCQ5vqru1uI5uumdXGkuIju7iZiVW8hpCooQWlsdnD0oMpbAI6 + ###wQRw0tlsSyHaRqHS6FGVaOtkWLUgfikKUTLYII347zbZf9OfyvnP8PPs25z6mJ/m + ###8x8vjIOwfP839MKn858/4qfu/m+KB0CZs3u6f3JM1qraArX3fZuKL71P/BOHLMB7 + ###FbVlyBr5f/LBxD0czIbOj2gQfLpY/HSx+Oli8dPF4qeLxfbFYrYC/HRiHznJ18ar + ###wcADhx85onzlzjBFA6+/R6y0pd23p2fHhxzvnBwOx9OroI/3WG2/GPaTx9f4pm1y + ###AJA/61W+6GOwxNEsZxeXlpUCs8O3X7HuEf/5S6ElcYnlUIY3tyCbz1vs2oiFOv37 + ###cl0V3wV+6eriCizVl1ckJyv4ZcLCkCpJYP6/Tj6syH9WLHvQQPBQ8HdLg83yX5oG + ###flry/0kCL36S//6IH8Dcs9KFKWLxl3ic8BkjeN4upngvjgNLXuWTfDZY8CXYi9vr + ###G0aUNbrES+x6MLsiDj9/4VC+AwfTGzp0cV9iVs0lXwJrsSI/oJ8q3YG6wZu+YpDh + ###tovnxvysQJBwQIocEQV8tfdafPns3M3Fp8syLuqsGCZvc7KWYt60JMldL77sOt4a + ###IrQXx34YZfLdTzI/7qWefA2DXoQZauRrHEVhrxeFl90V/Jr5oHP2gpDfYnaeCFqQ + ###b7HX85JQveuFSZRlCX8LIj8JkzDmZih3XOjLiMI49Hs9NT4omGCSKPmWxUEcRil/ + ###i+Msw8RF3EoSpmHa6/X4XRpgwj1f+stgKGkUyBx7XgCbVfUAVdLIxx6gFd/38Ior + ###NwJwyzANG38JMeVVIG+iMMYcRvwljqPET1NuIEkzP8ykWAZjjGOGJUIA6vMXGIAf + ###+ylPKwg86DMLqIEAWg6DiDsNIkA6GAV/SaIwyRJpIO1FmNCQv8AaBV7kUQOh7wWw + ###hlwnDBIvTDP5EqH6EnKnYYzwSRmUYRpFaeTxFMIeJjCUJYeHmPJHvsC6IXHjL5GX + ###ZZGsfRSnCaxvRA1E2JrvMXSgNow15RHEHuY86smXIAL8SXg4McwG1ohHAAvrQR1u + ###Ok6jOE4Fq2IYm+dFPO3ES3EI/CbBhG29mJcxgRXwQ49XP4kj6LcnX5JelqSpfMki + ###wHSBQdLrwTb3GYgprHCYyQhg08AAYp42oBGQA1mfNIbdAw/4C+yENOsxUqcZpriK + ###uWlYqySMQl45hEAURdxahlnfopiHkwUApzTkzZUB5L1EMDFDbEtT+ZIALiYCxAwA + ###7fmCo1nmYUo6hkEGIAgiVacHQw2lDmwuhCOPGuAE6CeLhTmtgiBlGMBsAthTUicM + ###k7gnMOiFPaAiMupeFIdxIqjci4FB9gSRoHicwXbmNwnwSpi6fImiQKF/L8mA/Mia + ###9lK/B0SDEQkGDbgjywiwwZSa0hpmbFTbuwedAPJ58gUQO0O4YQNZCvjRk34AB4CA + ###SB0ADjQu0+4FSaJHgLkre6qBXtRDhJM3cS+ANZIvsJt92SVAQgC4ujUgmEkiMOhl + ###UZgK5YEvgBY9ASIMATOUqi9hmqiZQkcgRKgGAEVhXdUb2DJRpr8gLqgvPYCCbhpG + + + +Valin, et al. 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Expires May 3, 2012 [Page 201] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###FF8Fy1+F5VeHUde509QJxc5bNob4+lOgP4X6U0SAxcGj2FSELUxjxGxfC01EBsS+ + ###8TiYBDc2TO67Th1BgB16D3vzjnamUk5sjJpdKR0FPiregdgL+9TeGPftLuzvrvAT + ###aRqrbG8x4qm9r1syPMmm6Ehy7GWFDtAkhkaZ2RVwQL8t6hFRmN8z4jse8f3vGzF6 + ###lCTu48fNeglKfnTcbnQBMkXpF9puho//uw9xfsdP5fwP+N1FPvyWx38Pnf+hZ03p + ###/C+MU//p/O+P+Kk7//PdAFbFORtdTxcf7p2Xa85ZPpuNQIeZ3dce8mVLD/mcp7O4 + ###p7O4p7O4p7O4p7M46yzO+U4McK0+s9v+D+2VfxGrnKOfOS0fHysL5OZ4BJRuvvZh + ###23pon8wBpd2fjFBdBcl9zjsyx5dAYxynf357iScuSlSFr5ewnxdTpMNY4IQEpheO + ###58Cen98Oh/kciDBs/IExZZF8i++BF0xnazCfT1OQhGG0OOIR9N7iz06njzSoq8/Z + ###hh+AzXZwEN3CUdt8MZ0NrvI2+aPtDsbD2zFQGB49ECH8hh1fzvK/3eaTIVFDejnJ + ###7xbO/P76fDrG0dNR0nBAJAwoJ9TAw70JTA8LA606H5yPxqPFPXm2jXHeF/kCmQeA + ###/DNzDFaAuE1QdLqaXA4umIAOxtZARhPWgJBE4sPRDHnPFAp/GkyQRE+xtWVDVe4q + ###OGa0GMKIh4MxnkNdT2dI3/FIC5sR7gerMJzOZvn8Bqk5sjTy2aM+BPy3N8B081ab + ###Fo1WHst9HkE57AFgMMxxJbAZtPgSVlwuGCkW00VhdnQmm8uo547ifeObD4PzfFGe + ###lvN5MNfSONSfKr5gI9ZO/YIiU8vnaGeB0dJBn9Q3EFM/+5fL8cLyYlSDPs8vGZaI + ###srleYPUDYzZjhc+XY7Pij+zCbu72hlZ/ciGbU00Hu1bd4MJ/6DKO4jtWUuAFbazC + ###4HDZLrE7Af1sMLnKnXcwyMsPbdx5emvx8kP7y/YeLDLvrz3AUugJD1FhqKZem3k4 + ###lNva8jc3yY20vgt4NVnaDVbjjnbUHjA0yLkZzKt4w1YKEklqN5YIJAbLKti1h24E + ###43sCs+yJwsxIcPowgIU8z3O07wPVnE9ZSMTikxwJ3YBFWzQbza5BEsPIPEOhRiw5 + ###sayJI8sveOeMXzi0dZpwRaEidTecXuc2UvJL+6yapsatf/iK1pehXkMH/HM2vcpJ + ###rJP1H4voyKxobiMevoRRtREfP38YDVnkK+GtxmeWTQn2iMSa1PxWWiMIIBMwHdoY + ###MZpYEyN/Euz+XGA9ANhD4Rs8GyM6zXwBVt8mpzbqlNmb0Nelm2xsf/lQs/2cV9Qy + ###kHJ0iyGU+ABDGjj+Op4l4EnJTbvAqwAy5znb8RC/YUBoIpbxQCNUZemIqD3qmTvG + ###rgSQV4BPKNk7z0aTT/lsnj9zdl+9dhbo+41QPJqWIKK5C9IwvWecweUChQhmvrLO + ###o+GFSBqFxrsoVHzgacso5oQc8wKJs4jgu/m29+fLhUstvpu7/vsXXtd8fw+c7jMg + ###L2yMBZGty8W5xS3OFHoaRLieAiOcTkY41HtgihMX9sssHyARMrR/jISqTJBVE56g + ###8jnPkM/2aJ3QJQX+IkqN5ki7ZFbWBi4qSIYznmkyeaFBs1ZcbJxyaaH5eKosYWHB + ###Au6dC+2/W6AfFuLAbPDZVFMHAEQBBgSUm+nnfOZOL91ANv/lbHrNu2gB0LpmISbn + ###KZfoq02ecezwnWQ92E6/E62UpGJALkNX1HVAcp+CYws3jJGlcPTXg7u2RpAChRjg + ###eTMuO1Tqigncqhx0OmHg+suWTLFLW7BV08OpF5etIP5qzmxWZ85kMccZ4koRlH/n + ###CmC5b7EC9ViPbfH4lxBgoOKfcWjsrIVRPolPzWFP/AaY0mSWizp8rMKH9//d5rX/ + ###8T8V+y/+Wht+0z4a7b8BXgJP0P4bh5EXpXGE9t8g9Z7sv3/ET53991GXOnxv2aWO + ###qnnY+X6WX02BqBwO7j7nYxJIG65+II0o1XiyIz/ZkZ/syE925Cc7sm1HRj+FH3Z+ + ###3OvDJF7vf4/XOrRdGDbr5eiKLmwoT02xL5OD5u5y11bzHC8cF55s4k07MkCbflBe + ###KNS6GS3K10fwfva81Dbqo4+4ZPK328Fk0a9pYAYEpPgEOPnwI18DL/Wl7g7aD8lH + ###uD8Eob84xfniYjC7qk6yP74pNfvpb0VP4DdvT/uAh6eAlBrY9kPn2e3k42T6efKs + ###7HK8+/b07PiQ70cXq8qbo2OMKb2/W3KZriviFDxP6uMNFHVGoLXXrFL7HDiZc65Q + ###vh9fJRigZGA+R8LvUWzzoOt4XzbQrPFmNj2fvwAacLT3wgl8DNL4r13YSECOXzjJ + ###WoDfjo5PDncO4Gu8ltCDne+/R8q7/+OelLG8ZupGOQfFenDB44xomJT/L9QDaZzi + ###4GaeL7hy+H7r16Drd6lO3QI0tTM9BoH5DK0k71SKDNZ3vLs9jKB9t5fh79f0+XXW + ###1W936ckuvX1Fn19Zb3foyQ69fUmfX1pvPXpS+q3fZvQko7o9+ozJqx4ACOqTZip+ + ###UpxKfZPqbURPInob0+fYehvQk4DehvQ5rE6F3vr02c/ssYq/1Igs1DjAVnHcQ8tT + ###EmSpLU97Pg43EYyWByPMyF6u4fZ2+F6XpvdbTsUR19fekcUX8OcfreFz7y5lH7Lq + ###cBVElw1Yhpg9usviErVw/G0XV+ofjjUS7ZJkozDxB0Xujw9fvt4/AIaJXvlv9k72 + ###j1+hr2tUW2L/SJWIrUkirOeD6xuY7FWfI8Pbdw+QFBfXhaY0/4ycAGBNrx3xXwOK + ###mzsU+eFFYa185bh1Dvv844YuGkSVosGSohg3ulQ0XFY0qBSNlhStDjWplgRQDm7H + ###oAooblCgKFzauprRQpddIc12y1615S8rBSzUt6T2JnysQjFEVtSV+NJTIqmz2+HC + ###QUzaBdl/eq2K8GoQbTAvOYwHMucNGgf0tOnQw9s5e4OaE7qZeMvjmksYGuWhjLg/ + ###mQBO6wdst+qb5+oFaCVDjGOymA1M7fHINAXaAO6A/s2leT8FXMzvRot7/ej2hhA0 + + + +Valin, et al. 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Expires May 3, 2012 [Page 206] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###rmtDoLCrC+3VheKxRbY6Od9xjOyMYvKubW2qiFCmh64EXyC5KdU1GrFBRyb5cTDj + ###ULVyW8OSKuqvH1jOqoPxzQe19oWbNWONEpiYC8++rQsGo4mTLdjHH72ETULJcjtc + ###qdr+9WhS8rqm2GjXfYqmYZ9HcF4910EixyVlIMbTHX18lWs6Y8v2tjTVhpqtVgSK + ###wGrgtTVCqKZgaqcoAZ+zcoHNDjgAimwfmKgAlenofITuSCDA3es1x4zbt6BBXV/T + ###hQl0xuLW8AUdkMLGxJsSA5LwcpMMsUa3kWDJm44bMA/Ixe2e+JHFNTUQ0g5/XFcC + ###mg52Y9p6XEuhaikot3Romx9VDXerxR9W/ai9HmQWTBFdMGhabo6YgB+x/8+FSRgp + ###PSPjoXRtFGjzdp5f6J4kPjNUHlxc5BcKcFxxS7o3UfIkT2zBA1Fwky7w0uUXXJJz + ###9J3De3EX2MX17fADy+8qLKTZ0BLwRuLcyN0NZ3Y7Ibe76S3FwqG7LrrOGd3nmV1B + ###HXgXyO0Pvh4y534m04lOYFd758ZmPSpELvVM6evono3cyuEpAJSM/6S1uehYmsih + ###RfJWWxgf3dzbAGJbuMeB8nL9pb3aGxQKDexWg3a70ObG0tpE/q0Rd5ddGqmtW+vc + ###WS65WphJe9nU0Kp273yYfmaEQM/Iz7nz7Ho0nz+z8ZXuCA0WJaJHFBPtT1zIte7h + ###FJC24lmzaUNJjWT/0sJdQH9yhFyYm1YDcksC/Js5F7PRJYaZQG/bzyMjwdv4SlgD + ###pGZKN4o+5TOY5+jqAxFz2FuX6B31YbQgPycV6gn3I2Gw9hJGAkgjkDtJhL1AHXMK + ###50zHNWO9DchR5DofTATlP+d/gjHcTmA4PBAcuwALcHwX9uy62rfafxXjvUHv4to6 + ###ngK7MQNaswhpySdZi241SGPUTk35go51bVNeqvVU8qfyPrPurfb5Osim00u9csdO + ###oYztt04c15H0PLPhTYvTZuoAOsWKwLW6fqIF6C9FlwPVlpUsxyu4SaEfEyI0XoIj + ###bk2kg++o0QXD/G6IAj9A9bOs0sxcQCwwquWX98xk9cUwuk9a3QkyJit1AUeaq9wr + ###M64L68X018JOYAbKo5zTYCOxnSGqEyYOiKDrHavmofqhLYNDtKOrFS8wEGS7LcKC + ###DlI2JVC03aKo4RYaVXAvloEVKhZ7EBLSmIbCkhVQXtBF2G86VXSkW5F/IlGFoMR+ + ###9w4Igbe547oAvyGADfi9JUByzxNNbQBeNVcA11uZJVdZ/b2dkC7JKEUNADFCCqO8 + ###uq1eKvt0Vd8I+bP3gvvfaEC3gp+NBdZVgSu3YMIZflE85dF33h9gKrasjIQPJB2+ + ###2TsbfOadB4i5QCsgjAyQdsi0g7zg8s/WNWOWVNQ4H395QJ/pVUJvFuLInFgcifxb + ###x58H95TRwjk8JR07WIsdSutNKbRhkKMxbrchMAOk/CA7LZBdKJWoqOgdHH5XMEFZ + ###UW1Iqi+GkStoU6guHRV9bwVIOCo+h3H4HMb0WZgXImjWKRlSXSfz2pRczWq5WA32 + ###wcfz9fnyVoNO4cm6Np4WDLf4qugnq+P8OCq8mGNJ1cWKsbekol8NY1msmWTLaiYP + ###1MyiZTUfGq3vBcuq9h6qGi6baeDZVZc075mrSNZj2rRK89Y+aCb2NxdslxTnl6OF + ###baq33QhMgLBHnVdwTLBHFS1E/XrogAMGKfeHzQ+oSR/zBdOJmh8XOHnOF9FRA3Wd + ###+eAyX9zz5KSxVsvmfDWXfIyqDA1UzA/wjM1BlaBNTiE09vPneHwRPH+O3W5vtTDw + ###XWA1/WcHOav69kJoONtotpZEhDIhu1CGklN4s4gPHNHqcyU8JjIYZhtinmt0gc8W + ###/eqKOfW5hL1SgeCsZmykKS2znOoqr1w6iR3MF7t6Nowi1ec0SxOlDAvxyTR18Khz + ###aXP4LAfO9jhpRPY1xMO9ndO3J3t0Xts/PN3DHi/HUxAOf/behZ7nsZ2TH5Ergfcu + ###kYdFj5EGz5WfPQp1e8TJ2fgjtVD13LBaqY3rZDUso2FLIX4mo2wxLM5JPh/hqjIU + ###i74TckZZiKm3zF2gEIjP9hgAXBLXCyvGUv3CoCcKcGvYBz+vHgH+s3dmqX8DNPHb + ###0LTGPrutPY0tYK+F1nKQb1quUgBLqHMrG7Hr6D1A6EMZBzWSypn0bKIu6tMtmAql + ###2HaKIVHKYd7ECogSLxIgRVMwglTtqVpNfTvlTjEaT9mFvFy5GAOfF5b3Gu478q/5 + ###PZuuRBxqCHDhEqW9S53qHdwaT7GHdopjXFIkc5uJuIxxk/U5nWKYAnLAh78enf2g + ###95I7v5+ADItyoJizCA+cwe3FaIoDxSjto5nWJbVrmY6AML1doIOnFSHCescOifq9 + ###FBhPr4Kd65sHFkB2i1kHc8Gy+RLz14FR7ct3JR+0RnrqYNq8ARoEyQGtf11AJyAL + ###P3sF9689j8ICH/EkKte9y9hbM6lCkWJfZXon5xbooFi9SdqM6jqOqIrLZ1ErTRI0 + ###gPgD2uA1EmkR/CJf7sj288PudY7tSUxjvif/bQpDUPyOrskgMPZL3tHaJdNa6/om + ###/VKTfrVJhdkF9lhENTswoxzuali/f7TrY5V9NnS7pEtY0/df5W9Z6rQMQMun1Vm2 + ###0ZZ1Jl2JR2sFdxTxoBgwpWU1C9C0pKoFv9yCX2xBdWhRJOq06KW+u1vrpt44AKtF + ###GkSpi1XbNdtgkgi+o8mnZodj3igyy67deMkF2am9JIStfss7PnW1+kAslrfZp6uU + ###D7Vr32FRS4phQOzPy1uvn4vZHIU7UQ9cP8ErKnWt8g2W4jNxy6spLVdW6rqq3mBZ + ###4rdftsUsBdPqspk6jylTD7zStZ7HwrIWnHKfbdmdpgehthRw9Vd/lt4EuchVFJ+W + ###3lCFqLcUf/2INxa2r7zZ7d4kHo6ejIrKY9B5GZ4KgSq/qq+m0LBSiW+z1lUx2Fip + ###xK9EFrT0qbrxIFG0A0HUDg0K0ZrWvNY3J6vdV4XQIp7/+n8fBMtcsk6Yf7woXy0J + ###/HPLkvSL9q99dE+d55wjz6EYCnjmydlhOHVYMb/NEm3DcpirH9ewRo7GkRWdu9jz + + + +Valin, et al. Expires May 3, 2012 [Page 207] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###Ltde/o+bc3Pb1c0sQP+ufK2pTot6nBpFki7L//LNklV+W3O6teLCFX11f0/TwEVB + ###1zOPunZnpROFmgtgdZq5HHJattu6UrIuog44krQVPmqDJ599z/I/zSl252w6vXbG + ###+eXCaeEZBIUU+DC4uck5F1jpMFsHoRxhyKPBGC0i9ypukgmQJGgtdoCL6SQXv6rH + ###B+dWoKgo7wgHa4dX7w/K9YcrIBVkG6Cu6wK57x+BwHO0c9DfOzk5PilDV0rWhLqF + ###DV47j7oYBnQNHHnY8Ha+mF6ryyCPSzwClb9d4hHJNSLTqsuGgr1TV3Y3jRF6+cZz + ###m0Cighq+2j/deXmw1399cLxz1t95s78EBn0ycT4MCbaEflsgkFtwF2HBPoS09oVI + ###VgR6k1OlNvdBOcnB8iwHD6TsOCIdrBBM2ooripfpzJhEXpLMSN7GL5tQwMp9NJq8 + ###+wUpEIE/ABTEuCnD63eUAk8QYGvJ6kN3FnAtYC5f+KrMsHRkTqtFa0mCXBsGtEVj + ###7VDOvDBIk2ztsmB+qW5tAfAsp+TbXJIukpRxDgkQO9z/z9uBjchXTefze1Fvqwnx + ###tprRzgoJW7+yilkqrKNIp8dvzwzKOUogmpHU+d+FeWY1NfqVNglN4avw738gYfvn + ###UXfhuGbP2ayPru3WQ2PWHy7GTcDAapRsFL+sra3JTD4N+uMRQElZZeA7ycAtvOIm + ###5eVQ7zOFU26ph7a0SfI3bYrTvbP+7vHhm4O9n/fP/to/2fv3t7C8L6pmMxwP++1s + ###YaeD2RV1aR3olgwBVHjTQ/9i+milD+SfqynI++eDC2yrZKyxL0ly7fI9gMK9A5oO + ###wpKmA3h5cga7/ehVw3TseO+/a1ZbVQn40dNkDejrZ7gHU/unzs838/sd0+PEL187 + ###uTcne6/2d8/2j4/+qdhYjma4fBpW+E+ZzeaWXypj3ZBWhba2vIdnrffgG6Cl8Ofg + ###+PQUrb+7/+Sd+PitqG9uP34p9aR+fHnSpwO+kx1gJt8YW+scE3/bEL/9uH7bWFSi + ###k3/Wrt6KOW0RfWtMrrIcJVS35PpEX7pOkHjw06nKUQYg6o7Q15MDJab9EbTu8TSh + ###lDLwKxcbJCjmU2d7NdPhCFAHezsnrRaKOZ02eTbsHe2CTHFiKp+cVWzOdXIGKvwo + ###1ZQOrvVKVS4hP9QrXm7iEiBV1GC+cT/2ypTUChbhFC/t1niS1AZxMKULYQrQjy9O + ###loB/eYKlIqrtH715Cwh3sP/mzf7R9/8McjUe3TyAKoVT9pJcs//9ESgi/5yhWenf + ###vm6Pfg8jQ5A2jKmct7lTN7RioU6ndrNWbpov2aIdLq0w/pHbEqfyeh8tXyc7R98/ + ###SIdvGcy1sykU+FZTIXNlw0wAyQe348WLlWqbogQYCyuMFTCtpQ6gbD35GJQ6GceL + ###B4pqldrq46E6b4/2Ud043Ds623tFStR655v8rENDzjf4ebihV3tEFH9/Q18zom8E + ###o38BLAF5SebQf/n29Wsg76f7/7HnBF6U0Wo4r+TeHyZjz1ecfzufjdCEWXwKjQEb + ###vAV9FbMZ7hLXUUVor/CWNi8la7vakKQYW/E9KdWNcCX9oMRoVQAWzCamgt1bZclD + ###KLdS7Rqypg39e2i7X3yg/AX5/ZSugY7mzs0UywOzxPRa+WDGcbYHqJTzXZ4i4Ioc + ###EXYmNW9ve7Vb6SIEGtz1N3S17ZdPK+kFytp0+0A/MoHE7WPD2jd9lY/XztVrCukD + ###xOWvdQul9q1jxNo3XI+WXHnR2WfM2otOv+3zxVJxP9kgbyx0LN/SCNBpVRF0tXhy + ###buLhWDMa3wzfve86leYO3uz2j09w09bVgvGzbot1pWrQKaq9yyrSUdZvqxZ8bb3z + ###wfDj1Qzj2j2i1y8bVoZ3uclrpEF7t4ltqcyn6TLzVkGoxEd9vLO1yFuUBrXr9BJP + ###W8QcTertSpW+WQq1dAVgAiz1soh2dIyy8f6uU7adVVqqG3LXqZkbE4O/c86fv+dT + ###DHFOtAvrCtUq8uNVknIfi4yu3+5Iw9o6XGquiouqhhUErlQn6pRXtqaODXc2WS9J + ###92vN1enUwVVW9mGo8rcOJ6s3EJ4JlSh0xHf4Co/a1Dndf2h9DaboqZbQUtWjHJpo + ###MK1gmMOiF1b9bkvJOdUMr6X2LtAiO8WbDpafDPSN6F48rRZICL+mb+gKLvBQi1M6 + ###n6m1FRe2K02oBE1bjHeIBWJ8N44WsQTzrXE8BLlH7/ZHgtcpHg84oglq7k1Q0rO4 + ###HAwX01nr/2Pv3R/ayJFF4f318lfozJ6bscEm7rYxkAT2OmAS3zWPYJLMbG6OP2M3 + ###0Ilf40cCs5v//asqPVpSq9ttINnZXfc5OzHdkkoqlUpVpVKVMaqoebOmJkEnpUaO + ###n1srCXdZluOeiez85ypiJ3hVFo0O6u995i88sOLjTz7d4udhR7VGk5ePWxHs2c2w + ###2OR0iZ1AiW6a/594bYZqd5tIdLODtjdHYAyq8LSWuJk88uEIkrNPMoc+60UgIhGL + ###N+hSfhK4JyXCTeMSFnWImacaVyAOcS6Suv5Rsg67jCBpfKANvbaIzzwsSswDyWnx + ###hP/TPNZYQjcS5xySaDS5MY9FW4a86hBtvPG2ZHxKbCAssH7A5U2+RvDlgvP+KDfA + ###c0NatG9rRB80MTL2zb7GYfZ6HQRF4x0q6ghnejd0FY9uG6yr6wbr0X2DdVMyo+p6 + ###zlHqmuXorHW+K/3ANcEYJQan4OFyvo1cZqEho+GNeAvFuJO6jqxMbfDdz+H5D3hl + ###e6aDas4a2caiUa2LtiTSoUFoduMgkpzkZ0S25rJGMRcdLmlaaT/yl0srbc5nVMdn + ###ibXWxDwgBZGXfnRPQHPqL56o7Uz3yZcVPb2iZ1ckBAdoGT3ZcCxMfZ/UGB2mqJMh + ###bImX2p6rwIpORuE0KPL8UmfNg6cHJ6+iazFxLwx08FfEZ3zGCzQF9ov7I15mExdo + ###ItLVdOZpEOVDFgEEMPyydIV2Ji2WAliGvMV2E87UxcwKCn+PmPAsPeh3pnDfejPi + ###xlGc6Nat6PIaPhw0oKFhqcts5lrQr7TFMzWxOo+VAKu9c6fH2tC5Kf+4Z23ImGrq + + + +Valin, et al. Expires May 3, 2012 [Page 208] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###L1FQGW9z66rA1JVA9kzPsaV/0YylsTtHWt9Ypkib+rPI2Revi9NQtB64WOI9UO66 + ###PyhtvrhIBPI0izCNDccPYJ93nfEkNc/deKTP6NoXhvbMxxHyi+MOVjJO7aWVlina + ###iEYavbpEWcDxWsoV6qGCyBPXuxuOEKZiQGYVzkXvGfBUGzn3q6I+fbIx9neboMTM + ###0Yrtd1G7GfZy+NLqHWGbRrVB/lgRZ80bIRSw6v6+X7KqmwmhJ9qdxi8BqVe/bFDj + ###BUJDQYhuZlhec5Thnptg8NKeIBfXZToXySgqVq7YnOkroSj7DUwHnZHroCcmXDSZ + ###dv9xwTJ4lBuQSTksYrD53vTRorS44vtfRo5lxlSLdChPfxREhoyoUj6+ZkWCjAfm + ###uGDp9wJL+m1AkHDs24DiMiCL3TPANMSomURCiRn0x9bmtGD69kmdMHbLzK8f4uLn + ###/r4R35vCf01AkRqP0JiKoZMocBU1gXfOq9vs9e+brIHu/mPoRIiBUDHRNAY6Ozh7 + ###ywMohlpKZJ5VFzMWzqcUxBFvFIzpBsyVFmuRQf+u9KyhTNrc5aH6tq+z31jm30jM + ###NrLzxoesby1MBNa9FSMMpxjyhhuXgilD4w+M18zVnJQsOCe6mo9lCHZoIuOErF3i + ###fdFDm1O25MCyiq3OCvTPeIiTtlUpXjgemt6s4mpJX1tCHVayyo6RQPTbWjJzsHNG + ###l0GxNNatRszBbfdDpBt8dBQCcbrT/aA0JjOAvUMY89xttLy9krsiaiiq+Y97fy8V + ###lvq/b3p+MpEpRb/AvqFrWSqPVNSzvF5frQ5NX0qYH+3ye6QGxxgg4pd43/np25ND + ###vLSkNGy6t9RqvFLiZ5xXJ/AlZssEbdrYO/PZqAvsJgdACzBpmXLGue6bqtlwBwLg + ###j1T2GCUCZcVKifVe0gFnSqpReICYShQov/X6vOzn6M+CV87HUo2qsutAVJsljA0Z + ###Ty7KO9LsXDM+QmSJOneJZgoTPOxFin9spmJS1tP1Ds0dgA9ux7ni5tZ6zl8/bp81 + ###1qE3/nqYt/+mCH0Lhs9HxYV+M2gjtLAeFvhXJzb0qvRjHSNm7lxRT+QvJ4q+rTnI + ###pT/u5tAc0l3X5hupRv2ZLsoh6afgE4k8ifK11eUV7WWgWqBeXoWCnmNdpbdRSwWd + ###bAGOuSklL1ctGelPBbFeQb2Wr//f8Kco8KIgtwNK9Bvy/fYrbNXQ+gA3O+KBSII5 + ###DAsNBaYjCsl7BXze3PVMatP4ZN3b8wqs7u/ZuTJw8zYu/Ir3VvL3FzrveurHlNHE + ###a87qcdGdqqW37VBjOIZFPxcvsboXMQKVWD5n7klF3hpIkIWkD/nCTlzzqfsZ2vbX + ###E1vXPsXb/xabAxjKPsCM4buO+WjqFq7kXsntQb9NZjmMTtfuhV+gs9BlaK0AQg80 + ###Zy5BS7Ic3yG9hjOKAoaZfnlCA2rcCNSpU542T6C1Ocx/aSq2tm3PBuM4JfL9cyNE + ###O5G2daRTgdh0iyk0qeFMzSUxTXpb4B9T5yjgzMgKV+xsDAlBDuRjPp/AneABFLj5 + ###m6pdSKraclI+NFiA/1n09k9gvUsSSYRfc0tDIbZAn2J8PUS+7uLqdOATh+hg7xm4 + ###acs3pM74yBLHE6dSg/Q15OLwEucZp9rJiNxTzWyylSF5Kbf8lHrfGbKfQCAB2RBW + ###/U8yxP5Uj0K1QAahCAK5lke5jbBbLb+AMe/dMgd04Yju0s2CKaVC+DoJZ7OAK6aw + ###/d1RvIUO6nsnnZMp6/DAwFMM/j4LB4Etj5kdKG36V+stn4DH5BbXPCwxh+oJPsTs + ###jQLZUZxX6M0LmKtYC64OaLQwQeabwsrxv8jMN7xCy9/w8nH6eMCAzNVGXYkvNzHS + ###xH2kRiHI0RmvyL3xKNjzDc8Pq05whXUBUz2Eo/nUyh+AT0J4Hl1CS3hNwUZsN8TU + ###10nKi1VFC1u04KWReDz22gbjSkTulDDjfKzosJIZOqF2bgd/o+XsuWu+Lg5rB3Ki + ###uqNhN+j0VeTC6UglBEHLbE9kIICimjFCTiRlzgpuZzJmdoKsILoPUl8W+QCT59jy + ###AeeaJsnaCirpxNETwPgl3nC3yrMNx3pY0KRsADPxFajJMKprrxTnTrnhWGwLwCBr + ###z9KyXisbdqyW3cJBOpHph8F8bMGHBDIDMknjCgiSR4GXBATaiMZJKHXHZUBpDsKA + ###MuUM84lcI/gBHKLo5Abut4/EI1wTlMjiUwgw0IMIOrNE43+tOF9kKlehvQqWf1TW + ###2F7YsGmQwjgx+Na6xf8t5nyobsin+B1x1x7rUn6vM+twhyM6XVrgm6Rfuw+6CJvc + ###enRPpQJ6E50oFyHrmljkqsN9CDC8Lr0TreF/6O80L4ZkF4Z0/wX5NVTxdSnWruMj + ###j0jq+NCVbjzGWxEyPAmKjOLr+M7DLJsfjBmyY6/mv5O3ldligl+V7YZ1H18rRRhR + ###CEpFLFoUqegd3j+kueT9jPzTMjioYZzaY/WXdFCRpDqKYqaLV1GQd/VK53yoONsI + ###cF3aEP3msbSFbkTXYKJg2+KtngdPZR+MLRIeSTtWgZKayaZjCTLTr4W4I+fHv4yG + ###Wv9FQGT1d2wGLDfShOAvERdBs6/JK/8zvO8e1f0uwf/uj+6AlzmKGt6Cx23qvyJ3 + ###akkXRPnwqbSH//1QUjs3We6GgKIZ+2k6A4idSY9cn39CCQtvubEb2Jf0s1sJmHf0 + ###aLq3R170Mn+SIzTp3p7nu46xqUdsj7IYIqgcvbAvltLLF9a9UjO027tas3Eook24 + ###XDIC4UhQ+0VPJKB5WGCKSIKzv78VKcXNY6Q68b5MaZ7lJ1zRHt6mkZ99io2vquLb + ###KFMZcINi8bmGv+axFoKE0nJqw1s8NmxCYw4vkhBPLiPuhsUyuTg9bbeOa011D920 + ###uWhA9tKAmK4OynDzd9OMQhJn8xh4VvP4xZ6FAHhnSJ8mmcUg7mnRrFKS9y6FbP2S + ###BZHP8Z7HRycXHEwkDzkCP/Y9f5s8ULPH58LYb3qkcGNUvIjTGzSrK+hiP1DdCZTW + ###w8FB4SB/D2/Qx3AFXdIPlKUkRVkm5HvMgSuuvDjhOGAI5yZXVpYFQOS0IqPA43Sk + + + +Valin, et al. 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Expires May 3, 2012 [Page 214] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###GVdLOpKcTax1+0Fn+Gztf00GrHjFnN1iSVA0HInBxgawMj+Yj67/n9drh8f1x4ex + ###QP8vl7el/6df8ksV1P9L29sr/f9HPBcjrqNz9V3zhyyAtjIYo58JyIfPYK+h0BFr + ###a+R+gdrwKOBBFzHebgH9N8MrOsD+2hnOLN8cwc2U5wE/+86h7FVgaxSckvQ9Ffwt + ###MiBgtuoQfRjmkyCv+hT0Qu5SJHVhcVAuLViba2tqYCr673VInpWjaUgBIkMeugDN + ###C/wknQ9r0sFwTdynQ9gdMJXKFFDg5dlBfzSUwbFkS4QcbLxLH+HXs6dP4b+buLaK + ###iMvu5mhyze2q8B5Kd3t8d13z8xQrCLqMjWw+7cxno+tguDm9oT8jVw2J/lP0+VB+ + ###AgJvPeVR1SXrBLm6kA8CYDPaKYLboDuf0ZYfDtcoCulozHokFcA4AGlvp51r0Pij + ###Kh+KwUf2ojPG4Jc0a/vsxbQDc0C5tPBmVe7173l4KYLzTVnOe+rno/Mz9oJuVOLN + ###Ph4NZ599EJMGDYfD8XwGtUfzGf6QtSL4xV42eFGjGmS79TU8x3zGvozCMfsH68x7 + ###4Qj+lSYBIDmY8l7Q79yticaerRUDW9GC5xkPODSZD6fi/jNZwlmOA5KxHIvcDp5f + ###g0EsbkTY2FmODEhWG+hmRKOBxrqXE0djwmOGLrt3+I0pRNdzpiQJaSeTn6ClL/Gm + ###zJYmHfITsKtqraKpThVcK+JdUB4d98XJy38cv/zH+5f/aMH/jl7uQ9Mc5VGZHK3N + ###YWcyGX3lwa5HlGEOfzuz7xiP6oNBIGuganQGAWV4feFvbv1j6x9e6R9+6R+V0j+q + ###JewFfecZlYFtDKbaaPzSWhHzc4w7d+hZAcR7B0oZVpIJTOUXWZ0KFKIWvJJfAcyO + ###0L3hliIN4u99wmz0tsBKeMkKM+zl2ebmJlRjOYrUDC+e662tgYKG6LgKuq5ZQimb + ###8RLsqH4Ag8cwwYPRcGSUpreMXhOxArIKlFhRmD3pnjwRGBDr7DaZvgje4cUva7BW + ###plP2AsPo7WvFgD/P+7hM+ZEPw1J47YkCBKJBN1cqeqWSPsYShrfAZSOC3NJP4GBe + ###FW99sbODY/Igg5U+6MBeQJE/emFnmMc9BzlFFN53usbD7ZJzicZFxpPReBLOyMke + ###Jh9Gv7mSA/mjy39kl/gOMFDI297aSjz/hUed/2yV6PwH/voT2/oOfYk9/+HyX2z+ + ###YTtEdhpM8IrhF1jK7UbjvH3UON/s3hfGovtf29VtPv+ev1Wt+DD/22Ugg5X8/wOe + ###p+uP86xpt8i6dIusWvRhbgus9RkUCNYMByDG9zYxwiyjclOVcWFz7RFujZlXxnLT + ###+eUnPB3jUShZH8F3dF1BvxF1idFC8mv3uWcWXTJ76AUzealr7X63yx7jZtljXCt7 + ###lDtlRXYShFSHopGivAY9MSiJJ0mRnzmyxS2INegyb2w0mWLIwzvUhCisO8/tMcKQ + ###I3TcOBqMZvIaygyPeIHnBVxnXBMa8dXsa0fcHcAAjhIIoxvY7OsEqWXI6WY6pd7j + ###bbD4vbVm46B+0qq32MUp3T/Cq2W//tyCfy/wChbdjmvR7bJXeEutfrhGd+caLVlz + ###857X7NaMm2c//3zvO3Zrjptky12wW9Mu2GW7Xee8XLcWjfP0/Un9XNyDW+p63Zrr + ###et197tat2Ri5z8W6NeNi3b1v1a0Zt+ruf6VuLRrjA+7TrYn7dA+8TPc4D79+gkeR + ###5EQASDhqvML7d/Kw/Sd5YeUn5cYbfdNO8KiA+hATl/Bzsv/vOrkAJMpYbZrjs9Nm + ###jpRfrSJbB+ZTYPHXl/Mr63XZ58kxKcd6+41XdXzn32AUE3LCx1JsTXgi6wW1NqDT + ###8GPrud0F7EF7PJs8t+uSpYn3Qvi7Y5xaCrwxIh1xPuZo6Mlgcri/TGd0PWAYqYIT + ###4N/CVxuTsEd9olBL2p8vzGHrn+jMOD5kPTWI1l085MF5ah2/bb5/qUN8wkq3R/AU + ###mFepMM1GIZAANZ/Azw9aFQz5VGUfNZd/gUkdykuAwqy2PrAS+1hgFsWAAtslUoEO + ###fHB0/SNV07sWA9esITjxuhCB8+4HzrsnOP9+4Px7gisvBOdVyqz4WOAq9wN3X2Ru + ###3Q+cRSrIZHjOWu3yAIdcwysLHMJ563Xj6KJ9jjfctb5AN/OyMR68StxEgEbx0gGs + ###/rdixQuLewdNYiijzsQlvE6/j1Gmi5cdFNb8W8kiqDCauBrnInQPchCsBIzhyyjs + ###2UO3+Cpnp1Qw5VlvgbijPciunp5iTAvRLDoIzkyLsGBMOkt2PYCCDx+1xjHkPv57 + ###ypmc4H9Wd3jTPH5pMoBwaLRMvcZ/G8PElu1e447gesJhE0TbeNMnKj0At9xx9Exl + ###03IfseaEkAf/nYCoDbhGKkstkW+1YnvKsMVBNYaxT9aW52D3sa2LOLXP1jFMUg3k + ###vvp5GyNFv6xdHLxutxp/q8N+zDa0r6fnIFTLJaV4uoihgs1dBXgHV+IDnS1nIg8Z + ###/ygxTwMfBIPu+C7HaAtvFfen0HAhEdo62ZxHVzl90LTg1N4KCwPpk6cUxMRqpBaR + ###vbsFdRtDa75EZ1w74x52KBx+OcdlFiGPAsHlgEvpO2c0KZJPDcJhjlMPDewS8zBg + ###D1RvFQ5EoGUODfoGa17jRzrLgC/aja2E9T4f++3Xb6i5aQOxyXfjxBlEOinoA9A7 + ###aFCUHFqTmF/Zz2m1CrjDb5hj0BfNhoeHoyY708aCauXeAg4WSYYkBxLJLKZ4DZUg + ###UYEQZK+faJUXzY/R1ysxkxgRjtm51GQChJBIj4wEQPS90XOyKrB+B1iXzMR3FfZn + ###fHmI0MEYJOE6HA5FGARzhRgTbawUPqXanL14oaP+432WkITmDOpoJYz7JnY4Y+0v + ###GimlA5npCWGGwS2mZu33nTxBsQMa7eMOVo/3FrP/oidYdLfnUWyMC/w/tsrlimX/ + ###3SqVKiv77494Vvbflf13Zf9d2X9X9t+V/Xdl/zXtv3+OX12JSmNmHGUOpvtV9rfm + ###mdGW/Dibo8Db1rJSoMV48T6METZBqQdW3OmjKtUCaY3VhesZFy2pzOJ2pDzIJU5d + + + +Valin, et al. Expires May 3, 2012 [Page 215] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###4MtFgqh4I3Tyo1vNKWh9PAW4bOEj7SdnI7LZIPOlTuM1mMDoePZHMy+oYUwoc2BJ + ###08b7QUdkXRzOwklgQbPk7WkA+icNiZJLS6k5AQuRxk1VQEw/GAw3pYdc+/VZezqY + ###3Xi61Y6rjKJFUP78/ug6R65USEBIii34+g7WE119giaOGyftA2BlR0ft138j7RLA + ###siLL4U/QALZZvsB2pOKS1hFfdGRhZyPsvRUbZS/o4G0RxFizdWTa3QpsjIGr8MJm + ###L+xKS5zdmatwMp21yf7Q7lxBddRvabI8/UTAJOl3tUPZ1oTnHiS8wes2Fs2xJzqI + ###KRaXMyLsjfgvajn/bNn6X+Fx638q4MOjwFig/1Wq/lak/22h/39le+X//2Oelf63 + ###0v9W+t9K/1vpfyv9b6X/Jfr/oEaXrqcp9Ywdips8LaHapGllTmVMSF+aMibetC1t + ###CRSxwyBFEZMKmOwRrz4W6thCBWuhJlWQCZE7w7vZDd8YxyHwT7eGdRg4NCxzaMZ5 + ###ZhZFJFI7oPXifqrGoZXDDDmA7C/ta1TV+fFedWurXI2gn1PFAyDwuNYIb9v0XQxL + ###7zWvd9Y8cNSDt+56XHPJlfI/OhtPTP4XGYia5+3ZqH3cegwVIF3+97e3tzz7/Ke8 + ###tfL//yHPSv5fyf8r+X8l/6/k/5X8v5L/s8j/7IBnwWHN4Gr29JxYt7hBHbn7dHqd + ###MUZaYsdh72kLc6Yg58WUHTOH36olcwnBn78EgdsW+0FIF+L3IsG/tcTpSgZP1lvP + ###dDVNAouYka6GhJICpoceIZsehMorKjtYPxtYPhduuJS3RgNsgd1xNBvekve38Bx3 + ###giUf3jfzDuhGv4u8IEA53SAWnk8+GcCuA4raGBuijfHW4oAl2CP4KoJIaEilvJ6L + ###wLr8fREqIqmNLqTT9uV4GnMrJrAveQgIHmAVAdOljQi7+tAzgKW0qQQTQTpHSy7H + ###F5SUXsSfcGAtZbSuIqT/YSDU7k0blMv2mx0TtATboiKM9E+M5tAPvgR9imcADYSj + ###+VREk8gIdjY6Hg1H6esW/22iNyFvWeSr6Qh+UNynKA6ABswjqynAaWCvpu3Pr39f + ###DJZ7GYo4K1Ajn1gj02i5Gi7C8qaAjdzJdUfyRLCx81/GQOIPp15pMD1CkBiOYzga + ###cK/YXtCfdUrwuyx+42lnOeY9Pp0P4HuIWXimgxHIq21MRM+bwENOrCSurOCfokH8 + ###6W6vedaeCNfpSoG9Nv6iexnUMv0q89+DcNjGRRitBQqSwqt8bb/xK2IA9Dvmy45L + ###8AMmimgfndeO6+1m/eTVxWu2gX2OFYbeAagPLF7+I3U26aOroQTAvKGkj/FbZMhK + ###9tgT2GJY0Tdd6/l2i+7CnSkI3lDyqcFw9MthQ34pbMhemOQHeIC3GxuGBzNmVce0 + ###GwBzyIp01WcjuvpS9vOw88gvkf8vUolVq7i4FkfpkH103a4xb9QQLXq6WzJHY0Ll + ###5Ks5nJ49/VqOxOpLcrbWHNEN72PobIFx+1Vxf3pMf/kOj2LumPA83gB2uKAaaNFf + ###yzVgwH7CsWfM6Md7tsg784SjdJkWJeqaZzwd2pnw89a33wyk6CbDPdf80ava4aHy + ###ICE0DIlMxc8NzpPUX3SHz0P3EF8nILngOQkBwOjTa+OT3hCQsCr5LXn4umj1nccf + ###rYMN9XtDXiSUfyajQF9GNg6Mb3pbbiwcgaDHgmEwuQ6DqUiVSa4woygVkrYlQaMG + ###qe3tYcindbEzC2o19x3MUq818BfVWdtxqAVqYf20fY7JZtut41NQ0eBT/Yg9Zb7w + ###HXq2dGUuLGDlpM4ZN2SNi6wu4Sr+DifIblW5VqkdtyQmJNKSrgDzbYXsHHtibrWc + ###0gtyunGl84WvBFyQMdpvSuJ2rT4rzv6Y3fEWd+e1vfNTd14v7I6fuTt4yIAQZO7H + ###IVpE8Q9QMMPeXFykjrhStEMKwcO+TvraxqD2V1lCtSvTHa9IlLEJy5NuaxHjPER3 + ###xwHeiJdyvGH1vQxmX4NgaCgVBb60RtNpeEl5Ish2KdRtHkROjM1UJPA6k7F6mOeX + ###SuwZq5ZK4moWdKg1v4R+dGesMx5PRrchGihV31C/4aHSJLzIZVOtcNgmLMAvrMtx + ###1md1EMVvEdlCnz0z0OlSQcnvuzAEfWuTl+dirbzg+cA0gjkUIThdmH/GdujqEtfp + ###jgX6c1sb5XWc37z2ETfPTTYdPWMSHkokUP8p+iaWgWOWkatBLfJYXBfD5yqFToVl + ###nZSAb+RYORKMZb8dOqnOEA4b78p++0tn8saehTg57kDXtgRJbhhyt1fdKGuIalwR + ###BiSe6GgAEYzR/wppBIi0kNThF/Ep0mkkeZx2teepdTh3sldCUvPGNUs+lD2G98Zy + ###QgwSNaiFIf+Zp4nGC6DGTK/rJbQLfEqDcU2Z4RubMBwuvRbjylH8jqDcipIY0Uaq + ###toW7kVfZMCSGWO/JypvT9bKSm/FVNJHbvlH4mBOn9zChH7bg0qI9RbuJLMTiATSk + ###NxdXM4Al0VbvqqApqygvuYsk7fbQq9qMJw3HxXYpLUyYSwjjCqNBb8qP4fAkZhh0 + ###JrAX0EXaGVpnxxgKFvZYnkwXFUX+pkimEsHDxXBN6xp3G484OVpnjJWJ8m7MFpNg + ###icE7r/1+Zzx18wd7vkrRNNrijvOTZ3/SpZDf0AZJYkhOVSmw8NaiQhylmBzeFRLL + ###qD/QNHvyRDWOHHPdsbeVxVo31s4//mEuwUgqcFNXHlqyybW0WdqSK4fxrKTGNBzg + ###EWpnqk/tc9sK1+lj8Nw7dtPpsd+DiWMCcAF0O5jzYPSVnzP/xq23gUN+d02NpqVY + ###Um8C0ZsN5PVF6ZrfB7TvudpfhkgUpn8kFSfvfSbxZdn5tGZj69zLuBD+K+NC8L7j + ###QvDTFsJFZPoFTodkXuQzJKZrRe1/UGqPk55FDfsOWtiNmKJBBUfzft+cd3Ofuw82 + ###sksTtkxDbm8oGfdcfXrOpisqzIh3J0RbhsM0B2w6n2AAf/Y5CMYMmIEM7M3mgNs+ + ###GQZmnTGFoRCh1G5g+7xEDZtkFuHmpGkvNs/cs1RZ2bewj+FFiAXDL7yhZdi2itKo + + + +Valin, et al. 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Expires May 3, 2012 [Page 234] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###RoDV6RhdDQR1eozhZuu00upazCf4AfoGnICFf5NMUY+7ZHWWrauyAZay6xg5GDNG + ###KmLG0JDJld8deIxGTjdXaOh0bcWPABfdwMuDYS++qWdh9NTXx3sn7LWGEYZJtfxg + ###Rh1486v+M/xGQzkcXe+M8H7HTTK9daPHRMEO3+wQA2k36rvCa9ENfHgXh10YqTLw + ###eqBsrwq3N2FMYtzQ+fUvtsm5YDhjd2V8rR7c5JN83TUdRTQmeMD96MxcfAIDjvRG + ###ix7m8PYolz0YpTlO+XYtLrONQebDqJPiklGd5hR+Ob/FgdINLHbpSmktu1iwUYRh + ###7TYC23nwoo2cIv/Vl3J7gyQHTm6g1IcsEx0jBmW/41eRNBauT7accFegq6Wi6VNb + ###yQabE+Yqv0mrQY7yUgG2vhlxwICjpfHUzX2annWvSzspcL0R7HGKSLGgxV3zcG8t + ###6Vd2FJBRAEnPRGFo1YC6DbaYgQaZ4xuKFaBXdNH4IUwxs6Gj0GzIiunRomj7AWhE + ###DkKY8nBVfH2AN2/GiJrwTdtas19DLPOF2tDHzsuA0MlaGKGDYA9LG5ziIpmk05CW + ###WxhdINtCi+A0lz1ksFTudjfCKmDz2i4HndewOZ6MAE8pIYFvaCoiNX7KiAApLMO6 + ###H5sq/J2o352Rf6WZY53FnuJXQmOmi5o6qOysqKweNKodBP3paPKpbqPU7L8pNLpn + ###/qF2ABlLZ6RegeOxtojOmY14GN9MeShW/DWRVKfcmBOLvzu+reWRsjJFYqHnTRX2 + ###9Z86p73X/w8Ver427+sFmH/+s7K6+pSf/6wtt1qtFcz/trpW+f/9kKc6/6nOf6rz + ###n+r8pzr/qc5/qvOfB8r/FhyOroPtZDpByR3jkw970bB7G9QOt09OFgISrqDiY3iH + ###21wEW6JiPQO+xYowpoMBzXGP4s3lRGXG1vmJTnXKVPKY56I4NYkzTVfB8+OPeWh7 + ###S0fBRcSCe9PuJfNT6FnhOI30RuG7rd15SaUYWXcgFXEolSuOysTg79C6EWyBPvgV + ###Y+HvwrrRwqOUaIXGiqP/LZ52tsI36079XVpFYOa3ZxdGcvk78CA+gJ0RWhRJmMCT + ###w0iMBEhlFECvSNLaPf0QXFDUqTLDyoNoHskM98nEyeaox9OSqSnTtbFjPzZM0w78 + ###qIa9NSGwgYViYIDf4EXQOTj8Pdw/+IDMt3Naw113b+dlCFvRwTvg/CG0GZ6+PEGh + ###Yx1Va2+P7AMldp509JodKckmnzsbGI7YiS1dioy1IDQWpvSiMAg8HGT9pnPATri9 + ###BzLGHnbezoLgwKMajZlZuItgbtKpI8kiO29hXAzW0p17Yra/kdfS84IBZY8RaNpV + ###BdcbUfRZHjl+zJqyzgDyxmH2Ia+z+WV99CXOGdz1yo+upaUhs5YsMAhWOuPfjlJy + ###b1FZujTY/CU2f9HF5ban2Hi4fTuN09czK1GCCp7uuh/JK9nj6Ba2cjyYgarPc8DH + ###XRx7Ti/H6Qmmc8pDgRg93vmexGkKOytdfmdWyNnEdQt87s2/OCnbnD4eZcAPohsQ + ###UXOjT2aizwU6FjzDOslgNlDux49YykGQTo34j0Xgob872yd5wJXknpg5AMYIcg0Z + ###U0Cmi4bThhCJR6B8M3NDYCdlc8meQuR0BMnDa+xTPBqAoR7QhwtgL71wNh5nX0gi + ###x9P4acZF9CB9N2wl1il8AzuyZ784CqMM6nQssUpmPlFBmzunGOnUDrfC44NTYOTw + ###TjShLQNJ8XRCWDe+txWgw/QLYxlBetR5I4qLj+3n9gpPY3Jyw3JDRlr0R6CLfeGI + ###xKPUV7P+VLyU3+m9o3E6ez3YrYsPakX86qhHnkOy4TfrjreAGzTpH0afyImAeu+g + ###Cl6sI3cER8F1/HIYpVM8GclacyFqTIcnmA4rx/VpxtsE2Bi/H9s6C1rtp6uqz9Ep + ###SvkJRqWYghZ5G8yGwxjPpdDqh3rkAG8ZIe9K+qha1pjqiizjU7e7QMbL6WgU9GA9 + ###4wKbxFEfU8klWS4Te0BA88q8ym80AfBNn1n1B1Giyfvv2nQ7mHlFlzZp3UhZLXgU + ###LN9dArdlY5lqkKl3xzzgIDthhVlCMZ1tw8mQH7HCdFwweePugrmrHzLYIUzCp6Gw + ###juL5BBliWS/IgknCAa/IWY1kmhJ5N5SARj8B1Z16nnPARSAMHgYg5C/4ei4QrBYe + ###V04yr00u5cyFTIm2vWGK+3A6GI0AXecwb9dJD83Kk2iYJlo24PnaZkaV41Ck8Qi7 + ###s+no4kLXFB+nh8d+bbFuU7LpUDUP8SgK5Pg2GMbX2YxdTGCDy4LkcBq9A4EqY08x + ###i2Cbdp+Q7rPWJLXRVsMS17zqwF6kDTMNr17+cU+kBFu9XjBNgH1xiwuMMSITxmXy + ###6TLYOX4bkBRILr+9eDiaDGDZ4FE49ZfuVOJ64rKK1/Ny3Xal4WM8KxwiRZZdDGr+ + ###8WxuYjIkdBzEJDWtoIGZf4CFtUm/XQxacWNNdwlBbfBvxpHzRdLvkwzk8ZQsNaMc + ###reS5PpYRrdENCNYI4Jd5s9u+i3eBozi+E9tASJrz26PM6pf5NEri0p3gyoxKzYA6 + ###1yCMPg+xnZDayXzqijouZL25ul8Kj2K+0NAbTVQvCM3Xo4ZzR66pC3ebOS8+XJcX + ###Ss1hjlPjXbBwzNxtfGHP2XOXoRvjFW49pp+qNtr7jswcWpylZ0XL7TCj5cm9xmYP + ###Ts1b7hgYaCL3pGJtZK5TkCmzI2QW7weYNPPcwzcyv5vtIcY6GH0FfH+RuTBR/otR + ###Z7xVtGxx9KCcxohmuMIIO8tqZh9StA94YRpAW2ToVD0/pXapm6cUHVR/wbUfzAiG + ###mGBke7Dr9sAnreOAffH7vhlNy+40WvY70SP1nZBOxlzgwyN6nld0aqBMc8p6ZKqm + ###qnVG+GJxXVZzuDRayZRVXUyD37N2DA1Xb0+osYYeoqooWWmXBmlUNIpYdQ210l07 + ###K2R6Ck85UWC4CKYimdZflCkkpWwYM+sKEk8ana7nGZHfM9O1o2FGFsUNKzq70bBd + ###kzI9p9PRJC5DWerIE2ZEt1NZOglIpTqLJPPI0NuigwxVKi1DkuqTozVLyi2uadAk + + + +Valin, et al. Expires May 3, 2012 [Page 235] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###VPabQkq001Ft5XnWEvVRfLPFc5e9LauriIGKd6w0DYrHWffucGnicD6vJxEStG8P + ###cjlaO5mUJv3PYDmktIFpm9bcHXfiix8zHGfOB47nPujyYItv1hwJ9tFrtgT9Jynk + ###r+/Z0h8UO3s3Xe47GHTsw//vhx029TUvOuxzKvd7WgavLy7SeEqFnGs6cFJdnp4O + ###VbzsHTjANO731b475wfZMz8IoEPoR4/4dsa/sPZebIjDCi8LP5/E0ZWLw+jfrF1R + ###QBPCm6t9LKdKZtCvnO30zz95rzeVTvu6rWxq/CCFMX8yaoDG10/QsXIqjjfIE7WX + ###9IJBHDOXVCGHns96n+KpixjxKbvBtefc4cRFS6OVxyMgNpw1slaX2SKzPjU2z2cX + ###ddXobZ1RsObvvfO27771Uhbmx5ppHO9y+Wz/6vPN+sVBug5CtWmqmFC1JbW5QUYn + ###Lx1u9T6jgzASldSB/p4GSF1P0Dl3NGEkOIl6gLMLUo/Q+zeaoKt0/DUZzdLgP0ii + ###+w8RV9pLj3xPBBQOznsRJgpqPV69cCPdq/uoT55CIrHqEy1tKI7a+OgHHfTN3x3t + ###yMM6hSoaAP9eyNIyOZzzSkkhjWDVOd+6kukYqeNwxy7kP+VxjVDVE/5WRgFRUaJC + ###cKIEH5fWqbHUMqzRZodldVCryewOesbZ5maLGhe0eKTVdCmWqPK/OyrI6uM+H8xh + ###lCUp2qkAvk+ml8kQ6JrcDWCW2bb3LOj2R1AnHo5mny5dM12OxxrbvMYTFmwvOaVj + ###nHnSPfio2x1NhL0IzyoatEObjLQ7m3x1UqVyUozthRcRXeJ901pzr0KlgDAD9Uef + ###2v1kyGfxsPPyYP9UMIhG5vjxFIbzxC/jLdn2qjVWyUELnp4M4Nflds18XbeaBmqE + ###Ws6my25/ed2Ibsp1o/V42d8Re+/WzXsEqvPq7eH7bQcotazReB7Nq6RFV9Hl5UY9 + ###3IC7SwabXgpqXHZVdqeGWWqBzrSyfUTdEBaIZmraVmiUsBGHmnl8zcYwADhjkmvp + ###QtI5yK7x9DqOh0F79f8hqeIp/EXPon4PFg0wuKA2xEs6JPwaXX9hdH3BZwNSsbLJ + ###Jmprdzc8oaUhKMPvj2LhqM5P8PxUaJDF/aH5BJrC8b7ghPl229UD0x/ngcZ7f2hz + ###anN3j5qAj+qRw8LkKKwz7GzRKLT1LWVYqvl2+EVWNpa6YeN3dF29aG6FmKDe5eod + ###sid99cUxyOQ6VOWEgCT8UocEEi8us8GjnI5pthnYO3de79Ktm90DvL+0dXj4jxJR + ###Vjh23g6TLzOQcnsxIOkiYZ6HDFMsxIWJsO9wLGL26fXXeIKX/zAEQ3YNn3WK/HbM + ###H5G1dbnf/3nUvULx4E2Tqfq4VblSu96ZnnXqFDRtUvmTYG11dXlNRqXI6FP/lEWr + ###4GlZXT4mQswcjL7GEtHkg5QJmvT1zC9yKGFIcsM3FXuf0CbmC9UhRqPYPYdxjN7Z + ###dP6ahRPgQzMjABxG8r6OsvxEnCgnBTUw9PhzZ2ua7TzfwJd1fe8mmco7qXRMOZbn + ###lJ5bH35HkuBoJL2qFTJU3LN1zVtGCJ8a0Uzmsnsy5wZy2pHQXc+8Pkz2nHkCjWSD + ###IlpgPUCaESB1BBAVnXBh2mnhBLp8WkeHHz5PKp6+iYuBjYe4GBhnNuloatwQrK4I + ###VlcE73JF0BUX8srhvVzgvKxh8jQejJ2RH1nZDmzpB8OLEd99car5R6JUWHSuQzN6 + ###l3/Jxu/HjnXv53nJKAvXJ3lbnlMIWOyta3rnh2Gybb5k0QG1h9bcgmt2m5ZOSw2Y + ###d+1K3LOjeqUvNKnbCfNOdZ3FSs6ASNPOZ/ncMnloEn+a9YFKBUPMcRoRc3p3dw/9 + ###IEKlP9+ZrWjWJN8F06+oE33FQBPJJ9znbNleAy2XiiPMki8uWa6A4yIm183PP/+8 + ###y7STQOM2itHGDjtu5jc/BnkX9lsKucGPCtg70OzZ2mGNevQe0S0me+naT66p0ezW + ###wbA7iSMgy99YnLVRgKdm02iCf6gfplcX64ZKFHxO+E88LOiGjULWDQbPMKAXN6iY + ###zxKmqRXUqAdH4eHeu73DTvjmt62DI5ofhcq/aXS5G5MUwcfP6BKD7dyCFEPKSy9m + ###+6hJrEyT6sVcgcy0w9we6rrjo8JpfRDd8TvraKSfXTH97Ar0M4+CduVQ0MzlfQYN + ###4JQrG+sVy+QjgvUKNc07o/NtMRw9c3vL3Nnz1Ocdo0h2FufNOLuXJzA3hRLigO0/ + ###o568l+PPNlM2OXZ5/szm76+QWckT/83K+3ufAHCF+V/XrPw/zfZqFf/tRzxV/Lcq + ###/lsV/62K/1bFf6viv1Xx3+bJ/0oikmAd5HJ0PVIFPbowm5bMAGvJWwWJYFv1/Pft + ###f5tMsS1fqth2ca7Yli9ZbLs4W2zLly62XZwvtuVLGNv+sRljW66UsW07pUuVEfZf + ###9vHof1ft6N5hv+VTqP+tPjX0v5W1dhX/+4c8lf5X6X+V/lfpf5X+V+l/lf43j/6X + ###TuNxMBsHF7Nhl206/OQIN7aLfuyI06InsvGnjOXSl+KdY3imLG7ZDikiUKYXxNkI + ###s+t8tFUSpV2/S8zixPYAEn4n3gGXB+kKFUqVfSCVUbrKFYB0OLtcwY5iebBsTQfj + ###M+ZRgf4rlAMMk2jJGHzmMSD1xT72o2JDVmwIxa7gj+NkkIEb0mngFn1Qz/vmbYy1 + ###BLoea/YKHfX5uf1iMOnSKaOr/S1xINnQCv01Dqyq50Efj/6X5Tt4ABj5+t9qu7m6 + ###bOh/q61mq9L/fsRT6X+V/lfpf5X+V+l/lf73b6D/DVEB5OL8wRFKOKgCwo94TcL8 + ###3a//OV4cfNBfsAQBqV0DRSv9Fwbe/O189kn/CZhqPOyS+sk12TDsjvuzFP//S3wD + ###zHUY/MfOf4BqIxVYPjLXDY+bGybtu29/uKrKhEGOqkoyIWdVnphC1HQnrXBkw+Bz + ###J6MxTYJ9rm+nzrwYYq6hwku8ez+O0jRgUS/ZZsNiOAOHj7/MYrx7E/WiMd+tziPc + ###I+CDjI9L3uqwNSVdQ0V/aYeF9t6lkYPG9+KnM79W7LxL4416yh6e40nBE9KZNE7o + + + +Valin, et al. Expires May 3, 2012 [Page 236] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###nbem7Ofnfyroe5XspEp2UiU7cSY7YSvngEXxTv6IWfr4DiwGfllwkkXA0ZcRRv4W + ###C+avwgHE9SprDFbvxU3BOwygHA/gqSBwLhzY1AekXmVEN3HWtw5LVa4Ui+W73EWI + ###fwUm8hafAZ7Zbf2M6JQuupwgVs7HnsUgFyG7FAOLQF4srUGlhdLg7WIRao3h+XWY + ###XrNY4TngxSqgOgGrgIs/mvWSkZLkYQ7w3ctoOIz7R+c50y+Rz8qKtZ/7lARP6zlk + ###t9M5tbvEHC0cuDvzV7aR6xG9/wq7oHJ04LzSW/YyL/69w2Ve/zVe9twU3+WVm/D7 + ###GI0ieGW2+D5v2bvEOVKfAp5Gz5LblbtMLPlnjvpjXfhR8yQU1dwBiWA2jY1LndpZ + ###D8uXw3JJUKSfr1F/Fhtisze/wl+Bdv/iF9EXWbKJSZwjxgjiMfLrjAZcpZFzfgfw + ###N+YvfvDaPfgzI6pYP2IE8FGC53v/FuhR3dFkEve5pRYvqUfBdTQZk01Oamw3iUFW + ###rEgY6Q3kn6FqY8NaxXf8iS2cMBdKdrSJTqI5S7osaimeSjFdZ6glsZzyEbDRuoWD + ###kuARe7mCuQL+PSurLn1vnZIbIyOMcqM/ZEQk0xzlPSXBlzk9zmQySVy8Xi3+Gg99 + ###QpGQaaN+dyZqXWCaFs6V0i5I7GybV0J0nB6H+CIOu8BpKub4w8NkmPplwc7q3TOP + ###Mw+FLQfbNQZ5FwhGLiedjlzplypCKtwKYNcsE+5FbAVshy3x/FUkREY0LNlXj3iR + ###3w/Jlf2pIqHCOczStPoJSczhSUkhbQ7wN8Uqzl1JCP/8dE5sZaozCBZeZ5SqZXt1 + ###PEeHnf3wTWs1D2fSKgtlC8zw8jGQte4rxuK58qgXxeB5/NfHGC4nviEBWfvZAK/L + ###PjYOMPJGiA188eNAzNWxiNxCaKibsEd9JXJESdELJveAKvMmPaPPDEIln7IWGQxS + ###Q5EitjAo3AnGhDM78R3BI52SEFnCHoUkX9bN8TuwiTvENSsaPYXICPNlf8mlsCw6 + ###gXAdEo9EkXa7cUx8Io0G4z4/ISsJXgbpKDH67DQm5R3xcwGFS8HWmselQMwvrZ+e + ###G+HTqHXmjRqIWRRsQmzpZThVSZnoPbSZ0wOjN7r9jPgE9skRX6Yk+EWoDkIIbCoY + ###bcXLJpTRswzXaIQqMfrC7Tzsj7sFi8Vpdyl4yqrH0aezwIie5+NSOHrSBEo8JUf/ + ###HubQDN7nA89mvNwW+QPYxAOAF2wib/IF+OF8bKIMeAx5O6LMTcXgFS7F2SGQPxIE + ###NDKa3JrgkUvpRgdpj3UeKRSsz3yzpL4+oahGUIs14OVhH6ZsiU83Tt9CWQpd9EpO + ###NpLUjYz7kHr2kdILZPtMY4XOlaKuT03dQuYYRyiBC9rNhlWORETU4TwWIUW4zFRQ + ###+JQcfTL86ozv6QJ/gNdj0ljfCTwZfb8De8hshx6Mzw/+J7MHWjYFvE4R300y9xKf + ###bbqM02xbi4fx5FPCXG55+k05oOvLeMLiFme/XWIQTCnsBtzaRc4tvqV350eTs0SP + ###Q+rxbXmGNpx8yiVojlfdBsSAoCOwl7T+GpJ50eijMwxewcaP06aLmTr4rRMua0pa + ###YgO/jPoXdxw9MYSS4tabEpzECb4SOAp00hLg59RJOUdprdG9Daym2XG4j6Z+FAK9 + ###ubNUMsHqxXT0WgxF8reCxVSSjJnGEl8UGJYkJjWxIOcpCb7YiP1dtfv7nOnldaQk + ###+NdznOndjYxRkptGYyWutUa59DNJ1Sxibmmq3S6n6ZPpuvZ22FjIQthil7w8sKQ9 + ###snuOboG9+CZn+xOLBvTx+Hw0uuK2yCLElQG/CLtnAtp7F4OZJ26jqAB/nBUt7EFZ + ###XXcuIwfzUZpM8BZQvuJbVtubhW9azXKL5tWM+dcEtZMnuzIrp/MguvSaHV2jm08/ + ###vgGUenqhmUNxz0fvvK6sdR/w81jk5tz5+Jo1RLVnKOcFG8H1zU3QAJFnMbj+cAP/ + ###doOloPt3+vqBvkILCs04Rcvu6GvEQxvnPpZv2cQQH4vwl6MGF5y3qfjbZ5ttqT2n + ###rJEOsFXCs44Ylxy94qyDtwMnCaz3SfzpMXpazzl6mLsy4PGvEzxPJOUZfaELzU2x + ###ESIfPC3mfPD+tbNbBFsBv5sM4mFqBPn2PNnawUtOcZqiqiZzbxmuqFTAud/9254U + ###//SzUrffyGEyjKNJsNX/FJ9PIo/3yRND/7fXavDh74sfdCrAQq/oZX4QSw1Xc9jv + ###bsQ6PQsOl0hqa2A4C3G3F7MtAGl8UOegUOUphu4QVVk38iT1eUTVkumFXkU3gdh4 + ###1enIAV/Itj98yIcdZJsWTbeDDLgr5E2gRHtxmpAc/BbanNok9I5efm8SkhTkIaDy + ###m0+B76YKnt+rkH3Ic/f53hScT8D/NBSc7wbKwQsKnrqo0BWnSPFL7vW44ztQCKf5 + ###XhJ9IvZrWBwpbxGoY6HqyDzHUUqxECX3ox1zJXb9UnBZXJYUY0zw3NXf+5RcR4Tk + ###kpTE7jJwqRkvCvXc2QMt8A8tRcFSKuChiu+duNIKHU5H/a8YmIS2YkyowzxFMafR + ###eZ0b0reCBC9WBK9uXgXp7WAQ4ywLEtQoj1oLD3cP56A1RxAx13BxsjsSeAo9xZAn + ###XFoHQf0ZE9nV4eKfImy/moNrUcxoQDQfee5TlmfnXQMzwCs3Ac99ioIBvnilFULP + ###LB0Z+Bskm1mOwqJwrfG4fwv9GGLskmEP9HQkOmZbY3Ufi6OY9/w9SJfps5yBQdGg + ###FTQ2tVbJcbFJse2SJ221aNtZlEpRaV40I+IIuxxijZDVKE/M4xuskm/0dOCTgcm5 + ###41WSmsYlzmwc1FRo8Cy5lmAYIc5emVODToyh+lK8WJNNu6fOXNbeHNgKeE5rwkCM + ###6eCTcZ9W94oDPCfm9yx5lIwJkD5GubIfXPTHwZPgAngChVhafCIuEVMKr60Tcaxg + ###hmEkx0UltapGhltt8got7UO6KJxI8x35MidOdemeKWcuhixY+l7Y1klZ2rNOGsqC + ###/5lHRmI6zUmDeYQZVgJBuiZbm1lsob01xxZZDrXyDOleqLXJqyRhMXnoroT1M2eW + + + +Valin, et al. Expires May 3, 2012 [Page 237] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###YnnV0aBznmDsgrqaFzTmDtdOMxO9yjMzGSCZnafwUNk2MxUORYLPoSN5GJhzsi53 + ###J0/41hzwpZ3c2VcfeBr90WgyoDgSvYCwX6PZQDlvIag1g0ZQa/9Pa7XRWliY38uc + ###9cEAnyGfj557mZv9MGAHmlyNqE+Gnxpj3FtZuIajzpuA5xyUyFI4gZGRsDJWWtls + ###rWIyRWMx+Deu1L4lRp/l6HWBp5y+eU9GxKgcdvg1deoM74vdeMmjSZZrspyA+Uae + ###yVKt8ifaD3MvTIaQiHuFEiZfQ46AYt+yKGLs788OVVo93+HxxP+1TnO+X/7PVrtl + ###5X952mw1q/i/P+Kp4v9W8X+r+L9V/N8q/m8V//ffIP7vXfO/ZPkQ1Ii80xlmYgwz + ###k5TIDVN5y/yzecvwfDDsLI3Ck2Xoh2GjKhl3MK/pI8JBY5P99Nzu+JX+G0VhHNMd + ###qfBNa830q7UyzsCXOt6UehXddL5M3uE1tU9065W5FLPbgFkeVmwYdnXcvnC/vb6M + ###h9YdWNjGLmF/F2hOLmqBGMTOYPiYq+ePmZJ4ikjb2AhO/3G8F757DVxqV8sskwIO + ###Wo+bF0EjaD5evQgWOc6STwOg7hr82KZfOQwklsamdoEXU9C0sYWFYCFLP2Mm0lF7 + ###KFxD7bw6+Chw+FU0zF6zuBGkZnKbLJ0qCREkPWT+01xJ5lhSpwB6VVPnaAEGN7qu + ###BTiKOox4eZmNuM0Ro/a9c3QS9rbDN0+pRCt4AoNf56OH/z3RCquXTxA5v9wdMzDI + ###DsguTPLFmNYUNdbyN0WRjh3p9jI+Jdog6tlwI/i5WUrHUPplMq2xV4vsz5Lazkmc + ###Hk0+8ZnSca3QhHtmNxigAXBkAlbjC2S5/XTtKWHWTJ4LxDdGGY4NEH1P9DiG2oXE + ###xSf3wLq60FlfayonWNCXhUquwdrq6vKas/sdvEA3G2aUysaBU0eYpeghGg8fxIPu + ###+NaG9XaIgT7W6ko/686R0bL+Ix5dGN3nfVPa7UfpFBujTqD1lgiG80tY+errjG0J + ###C5lOc9R3tiXSYN18irouLZHKSDSu8MjXibq6jwCj23m9S+LA7gEKViBh/sODkoWs + ###+6+/xhOU/F3TQiqNa654erjgPOpe4Qb0pskOxKHr9yQ6zzIxifGJpDGLwuKpcpOF + ###3zjHdQISS1eyxvRxcIjea7KEb7fBSwGonCX9qdx8akmMv1NA/oWH2Ypkbdcms2Q0 + ###PJ5NQ+wQnkEwVoxr7QlxDc6PN9lvzv3F6CAh6zVhgfUyaCqbTRCj1fcurbT8W9Yb + ###OT/no9mwh3p91PsMSj1q2wKhqpAgGKVqiw8ZNCSK5lkR6jc3MVecu5jZdaSuVrO9 + ###IolLnZhocN6LoDuHW6+2d7fC1/v7nb1TDTvZsyRK7e4dbv1jbxf+7oCeAZoYzJq2 + ###HjqUFmE37ke3cW8XtHLUvotaBU1vb+dlCOqPeKW3mlJArDACceorXkJ6s64SS9Be + ###ZSy6CMzB0fHb0/DN2y1SaRQwDCOMHAGHfYBR1BYwKFCz1Ma0ttjaK9sYtHJ0ymdA + ###jN8hWTJ3nDSNJ9OaYyo3QejJdqqCwi+CNi9c5Q/8yz0e+z8/Gr236Z+efPt/e7nd + ###XDPs/2vNVpX/74c8lf2/sv9X9v/K/l/Z/yv7f2X/L2X/V/yRuRtyWvkhB//Sfsh2 + ###tvjEsvJHIUx/ZuJXPBxVO27CjDsJaEWyw/DVsOgobSWZxZOw3k7ILrZ1wl557YYK + ###BdWCjDBky3UFYaSaqQRbOVo7wf8zOloXki5gQxBF20e6ypzWstJ1ha40YpqX3CU1 + ###m6cISscYsUtLzErzV53ov82VpOGJw2uY8eLs5FY4D7uvx/tbrpzVK2d1t7O6vRZh + ###NdaDz9aCzCaBEb9rItSlqRGasMHVtUbUxaqNUVuvn9l6/YxGO/hjrFNzSTM4jU2+ + ###M0DnXrsXuE5Wn3E0ruWuD1oW8y97fL7dgQG4lr/30sAcrVb3C3LAV/cL/k3vF8zB + ###9m5CIT/vn2y92gsP945+O30pvA00n5oyLjW774FZhlugvx6pcMowV6trh6fHvM5K + ###XsRnh0dQltEL6maHyHo2Rl0JtKBvnbSh9rIVoA6/dl5uHe/5e0/YOtwP08sx67zR + ###YXV+j6PuFcj713g1GQFrm/qYrHzYnh2tyuXCxc5/8KjRgZRTdhZrd8cu+jKaDOgs + ###H6fcXUfgVCgwXS15LqVTJt1c+5X3WZuK2DERzm3POpU39zxzP9VOGdmkZxumudMG + ###6pQnnnlewi3SpRxmR3DQRlH9xWC99Wvbs6neY/wqxbHNni/Kw87Lg/3T5XYtr+NQ + ###e+sEG2CVicSC1try+gr1tA6fAdqfnuNO8dSIjmZEywv50F5t+aFleMmolpXb0CFB + ###u3lgsHYGIQeMg+K5vFQGjFZbiFAmGDbD2RLVXJWCXGSxY91Fcd6vOsYoNgLm8tJz + ###87YyJKWG3HSQl8qOE8PVCokjbwSsrh819xKI+TDmEooNiXeOsTjE6sU8MfkeK1rZ + ###cT1WKcsRyW2iCgLDacBoeTNoGnPBXH24eAgdLeUfpO27orvwYwd/S8NpdM5enalN + ###y0rMq47vR5ZLj9l203SpEjsRE5D4BmRp4O30cjSZhtFkEt3WSPqpBze6/5mWPVdZ + ###ahT/AvUVjy+V2z8GnZyCP//USvL8r4h/hnrV3VcoM724D//v1jIHaKiKPSWhWRHd + ###2SCYOFs3CLyJCryycnWXPb7h1W32V5eMt67sK/XA9GJktMdSYtQV5lY35mvBM6ti + ###tP9ao5zTNpavIWepnJjCczcrmaUvVwGz7wS+CphdBcwuM/p5A2aXOTXYdqhi2qRb + ###auh7qLGu11iU5Re1mk4xpZxkuO0UmB0KwHa+bFwGen5P+HiNniy3rZ68Fz1pr7Vb + ###Kw5Z1MUja2yk9YwH1QMHO6BO1OVaMYjW8m6/I87lKLOhLSgToZhwbWRXbqE/7/H4 + ###fzILCXP/vLwvjIL4D8urzabh/7m6trpW+X/+iKfy/6z8Pyv/z8r/s/L/rPw//w38 + ###P4foANo5OPw9hLG/3TntoISDXqDwOwYqdrxS4z0A/4GCehAIdA3Vf+HCE/mKOgKr + + + +Valin, et al. 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Expires May 3, 2012 [Page 245] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###zBzbJg/j+4VPQf73pytrbcP/a2V5pVX5f/2Ip/L/qvy/Kv+vyv+r8v+q/L8q/y/D + ###/4vOG4GT3CB34YIRcj3g95ejXkos5dkvoOEVPftpiLyjdvXyj4Wc8tzfotVmf1h+ + ###9PYK/ruyDvXsqtJDY4f9ebvP/ujf9q2KHAQ8W/t59bHiPiqJrO+yU/Ds5tW3IbJh + ###UI2DfX99q96KHOIuK8r/8Hq8lR2OHX7fg8/QM9YRfIHtNzZZqPzacKTMJk3ILnu9 + ###xbIKNM4j3CzaN+xQhRfEcm895WZjtRR2sag1vonCi/NbWEptcXVQ/Xn/4ETPjkhd + ###2C/qQnEbW7yN8mCxFnNgSvnNlx4XH2CC8Lgd90i8zJ3Oxsyj4vEvAVt0Yn1JzSKE + ###rfMryALkUPmfMGXouQj8ImTGX1kMBZPA9dSaC3n1ePPhbNwOX74JryfoJICX0Wqt + ###UvUODk4wg7UCr12qHk6vVrG2vEBM5GAIAlTUT/6IUb2KpyLRM6vPb4WyDEKfEkxE + ###Mo6Siby+90S9cITTi+ZxshbIU3GjQwnAU650Zi8IUsj83YLFju3DJVzkMHWQ1rs5 + ###HsOJbLltFwGW8vIPw99Tenvyy5PqaIMaMZ+HAz3SEvJI0K8dmC4J2+FMBuBnlD+l + ###Wael31YcAtA9oR9HAr2uy2MdckHRLox5ZnJBTUnD0EdH0ooBFG2YNYn3IPjbRrAO + ###yjemJtV+bLWdv665fm2vuH5doXYXgj//lMawmoJ1CzD/0QAsfl1z/WoA5r8KwF7P + ###Iu2qH3dRbVjZVI4yHyx+ww/Ug26cIpulI9Jo2r0UaO00Nul7B2ZJ2Dh3D94tt8PW + ###Wk0h81ZTSxu0z1zPxBKTWhBTBFXyS0bqDGbj3cyQbuTUfcv2Ae0EW6+7wTv66u2h + ###2sc2w10ekT9ZFKLMMy4WYIahZ0HLPC7HEwhUlKI+3fZ8BvrdBNTx/i3p9dluFVup + ###ngGjGZVfzIYsYMBGeT5fcEBFmamZkJBNwP37wPcM3RzMVr/lRC1zQWsL44V3RneF + ###2GDNqTmNI0zNtsLyVLmmeNkxxa45XYbPlhsQYGUfRzmJuilloTff4r3cVFr6JYqW + ###wxUQt/f2O1aFeZEsNlhrir24WPbjQiN3H2EvFyChXRYJbUDDz0JCmyFBJa/A9biQ + ###0ILPlleagYRWWSS0AA0/mRLujIQiSpgDCT+PElbuiYQinmAgQQg9/xQEsnZP3Fj+ + ###gg+Om+9ON9ZOeTQCjSf6GiV99FW0HCK9whU+hoBFYNTtT9vimNCK9mW3soPaZfxl + ###FvWfkbla7ckcCMCqmrgHdUnFaqPrEu7Wf7J5ySS1ExLBnKpY5rxNzXylouGb1pqY + ###u0M67F5u1xS5sGa+UmTElWCJOtHgxLFQV8SDBcVbVfODJ7mRepmkwWQ0G6JdfTYW + ###feNexwS1AzT//n3N7G/d3SdaFbwn8L8X/p5jp3W524AgPEs918MkkePsDr8CPZEF + ###PkDq03Wx6QiIhJ0m+PXfv4zqmxnLsgewal2ekvcnhf5ZKnCQE7R+90bvQDK0r22Z + ###WvcdIJfRupPhoXVtUoLONK5kqK6ucqCF1l3IRYiJRNNgMAIMMWUxuyYi4gq5uYkV + ###Z6i0NuKIPFNUhTR/Wny4thjmDN5qeCIXdYkrJ6X6wss+fCfErlOqF6Lw/N3wR/wZ + ###xIPu+LZmNmdfFmutMYsK1vxmMayffWL/sI8r/k+4dXzwcN4fRf4fT1faraeG/8fy + ###WnOt8v/4EU/l/1H5f1T+H5X/R+X/Ufl/VP4fuv9H9oqd/dIr+RsKSdoPxHVGff1H + ###jPYBtfUfmRaaGiVnQ+Co4ThCB25glPw1dXn/4MPebnj8GkjASkB68IF1uZ/GnuSk + ###mTtLaVxJ1/RJIJQgpz42T8QimAFdYf8tnoYcSogHaDUXBHqEgnxCcnjK40fTrpr7 + ###+GL4mMVA6MUObN9OpdopQGbK6Tm9hW2uc3D4e8Avtlg2AldQEdj0gw2qFh69DmER + ###vz7hFiYd8oZ+2itAiINDroXAn+f5cbCfCKcD3OROyONAtJU7YaZFBZvYExd4cp97 + ###ThCF/MkrhmhCRCvmC2Gv6cxppFGP2mFwO2zVdphhyAY5U+hejFIsDfN9DkgtyLGc + ###jHEKTRlBVUB69dMLVcC7O3o7CwI/iuHSnHYJXcZNSeniiOljIKlOqMB032fIbhwN + ###gxcBbAWvQbYIj96+CnGDP9rDe0BDx6UpHMeSvDKcTLPbYI8IeGOTWeX2b27OoOmP + ###hhFR9thpY9Zu2PDmhjuX0XAIrBCYc2ZbN18e8CjurESGsKgXcB6uhIRSTt/V4byZ + ###xZNbuTYy8syopowjwrc5F7ZjmXu6TfbTUos+nwXo48x77skCmOHSzwh8LAD//nOx + ###gPxtQXaMT14ol0iwKD/axTgvKWYNWXMbgbkIeRE5bGNBac+Ga80999aXa85fXxSx + ###GoGGQ2YgPDHmeSNQGEgz+Pg43RkMH2P5CzycsFoaRDcCSkdv0N2SUt7XYjKcr8Ws + ###vKfFXpwmk7jnaNXdolHe0+o4uu2Poh7KGuEgLcbhcdS9iqe8uNXaeTI1pyK3tdNo + ###8immKuH52G5uTMAOR2l6HE+6aDz4FBd3DsvjFequ1R4G+OvHN8nUch91t7cjy1tN + ###zdL4YLgdDXv7eztlmlLLuxrbPf3gwJq/MSjvamZn+2SuZqC81UzipttARuTA48Lt + ###7ZqzTaCyq5d/kGOb3M2UtiM0ECEarpPe9LJDhyt5XaTy4bmoELLjGEeX328PgK+9 + ###Z8aYd9EkwYPpw2NPs6yXFEVsDf0FXWVSUJKwTQqS4Ja083ZPNcQrixxDNq0OILBg + ###32U5ZkbT+Bm6go0noGP2+/v96BMe5IKEVifrFjsSI+Md7vJoPGSBzkAjiWa9ZFQP + ###kskkRrPUNPkas1A3ngwuDGQsdzyLLTDAaCV7qMcSKBiqCtQJev41dQr+TgIVMsyO + ###FOFKCxT4J++8l4rxw9SDoZ1/rDOOY1iW3LWQEdpXIKORJ3FLSW162PGDtJ1rk2Ee + ###ZA4yL+orFXNEfhVzuTNHtNc5Rrk4JJ39NR4mmiAdNgO+0IIaDfZZ8Cq6YS8XAs9c + + + +Valin, et al. 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Expires May 3, 2012 [Page 247] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###UU1Sp5zUWfcKaESFxlKouqnQ6c5DnaNt5SyBH5UUrXNUM7O5FuI+z9OTJf2lppkQ + ###kFM4TxUonq6yex3zXf5h4pvzAkvu8nLeaMmtYd92sBFiIIO69fI4/MovOofd2XR0 + ###4QDoUoBOR1NgPezSG6YvZhZot9RMV/5sZ6IsUHpc5Htp+Jsu1C1nId6tzux8Oom6 + ###0+Ay6l+gSoR7D3Uv6k/oThZF6nOoaoWKFxtFYwMlvGnc76trEirg3YC8EyhUGhOM + ###S4hJsIbyDueM639E+Ck7mqMbnXMgkl+pnEfrynVHM1RTG8s7PI42+mIB6Cf8opkD + ###qzmTiOq6e4t2u+qKgAF8tC17/r07RakGV3OuBfBxS+q6wH9RKMZbuDgneC/xBvP4 + ###EM2xVYHTqKuTFqMxOtbIWSPivAY7uweg4h6GqWTLoB5sH5ye7GHgv9cHaHzb2fpH + ###eHrwag+vgdrTdxTD7FF/YXa50SeZkndxfv+E4ofxCGuWf69zFa82leREDhI6BIJ/ + ###ckLn0EBNr5LeE7qwV0BKJd338FFlu8OTcDoCnCh7N5Pk8m3LmW2WVK1yZ09YNFen + ###NSTx8utR7YJHEJ2nMWcnrfvMXnduF4zsKjVwvOlt+GZdp47pCO+w5qPH6yma70xa + ###ID8k9g3Re+AuX8uQgobm0C/MvSAPjFj0XH7Cq8T3YBU0h+ScgSCTCXsxiYs0EBhR + ###rx+73UCspSHkEh9Vdy6jcWwG9s+VTrJqbqFkLvDHtCtP9Q4Ug+fVHqADRM9HnTf1 + ###+Togqs3Rg5yWaIqPDjv7X8I3rdV66R7o9R4KG4fHeIH1UF56LYkNvVp+ZwrGdKgE + ###qeAP3dW6U4M4TY9h7aMnxL0bJLp/fBil098ijMbVi2/UBu884o5U5JQOnv7jeA+v + ###TMGuv7MXbu2cHrw7OM1RdIuQQOSSDL+GnzDAK0s2s7a6urx2pyZ9F2qstETicSt1 + ###qjbcG4XvtnYRTpnABLLdPAtCzgAQ1F02BZfl2R5bKaVDIuCO9r15+u1ZjgWGt7si + ###qcg+91A2uQfAgMusoH3z0RdIANvixpFrI9c8+UsIoNZgUxCY6+QJmZdmpBCk1tq9 + ###vRQ0Gexj+e45vHTKLfsmmzr7dNt1ev1Adh1p+x9EN0x/FIHwXFTwMhr2slRBFIpp + ###AizWVgjx4S0aF8L5r26RVo1lwA8Q1OgEeWstgyY+LQbLwZNg1ctHbYDL3taxbNme + ###+HrTdvfG6JEOJV/w9Y155W7rHx8eNlGfM/6jNRsK9hoySrCJthLODr4xGlGnUFJw + ###xMh0ILJsc45wV9ZVNHUsQ+nf4KiJu/ZmAV1I9OZIULDOfsMghXg1ejZGc0LrSVvY + ###AAcYEi2RjrKR0LdyTkYEbTScCxHIRVsGi1kGPQu5ZczSRMMGovOwUv7wUbvB3Tk6 + ###KTi5MDvh8qHg6H5LaXR68TiGf6gr4iRqOJr7MGo+f5kGMu8ibnKnEyGFpwyNMzGf + ###pp3XB7x7fBFcx0F6lYzH0POIqfcMK5TXJhH2wTqW642Gf5/mHbjQgevh6XGQdiPc + ###VJ4TgdMPpFhBc9dxv99geSV6j/NovABDqFxAw2FnZ+vw4Oi3XITNMw0ljv/cyoAV + ###mYBLCEzm8AkIdJVBCamoio9Z5+rmXp4fUkY8+QEJ/MOxf8k56Jkz8EpBa6ob3JxV + ###9WUoUm+6x1Rkn3o40b3B7uCZEuDBEGfF4QoH7P88/pQMMSmKsOFPJ3E0cBmes2Cc + ###/iPyHLe+OY5lXGTGOuycpgc8ovyuzmNsCIHhNsYPOi1vcrvmn7nhKRQFNPHJIG5m + ###crd+lemTPJd9UEMAdy0bRxiUFGNiJVE/RNLVFWI+gB/khuk7Yac4LH/Ek5EIU3sR + ###RP1+dtlw9/SDfRAr0JGrgmLAEliED+IOjG3ZeUHEo6x8j1HHxzq1Yzr0RleaWgzW + ###vSxXr5d3HvhAZ+Ze2MZhn/v4sckatU/4OBm8HfdQImGuXix4MBcQZTR2JcxDgqf0 + ###/dG1my7y4vNmR7qHW++3a1ZMy87x3t7OS2khDWHaw9OXJ5iBbh0w45x8sw2MBtPw + ###twRE9ISuQGxvHe2+P9g9fRl23h+cQlm6CxG+AlitNVhnCFCgc5oM4g7u5+yGwBYb + ###PU1X/tlVqUM3zKqdhzQf2effYfAYbwtH5F5BJUyz/rsUd+rHUrkwfrKHhoBjiQfK + ###jRGvecNII6y368SBUSMrnVkSjLznYoUeOy90lgqxqZbxYD1nTp5bbeRlVCg8580S + ###K+QRvZ5fwe6AK8+J6vxR4rjZyEKRRXomqfW9EkrXPuMO/gvae2YZWrUYvKzlvMih + ###eV40jkCVz50VtYiReuzJrMI/Z/jIprlQ3KmvfnY65H+7x8r/jYeMD5j7G5/8/N+r + ###q8tPV8z8383WSpX/+0c8Vf7vKv93lf+7yv9d5f+u8n9X+b/1/N9GOm188wtKurD4 + ###k2Efw3RRjjFSVobplxAPe2IWWSKtkXTLMjrZ6Tx5FqEd1WNRZHLaUzKLunJUqbnG + ###CGpWbtF0glSaprxUnTdWvmpH066cYjdnH10ty14zH3XYA94085pW8jPJ5wYQB0pW + ###04Qg8r+xpgm5fMNoPUHPvRK9Tg9Pj10dF72exI3rS9hNhuK4jp3OyVHk9BqbRv87 + ###X6+z5gYRN57xIbDx5KQZA9nlYuLAtug1vcc9kd9R8eDalU4MO83IFLRaRybdosfZ + ###NEMLTklKGCEb29F2CJxv/wTP9Uq1ntPrMdouDv3tHpPlo297nBY3zW7fhVPVa1NF + ###CHPqDKz3StNoWPWyhVGSAktAj9OQbuyB+j+pfe8F7CQq5ZrhHQdq45DNfM4Cnoeo + ###RKPryit2M9FewmKVzdm0mh/x5oubpd2x6ZK8gaYx4w25Tbs4WgTtth0dl9N4OcJb + ###XyCNoqmql7A7UN1RfJEWNX2OPCGn6cMR8DB/y3lNb53AGhhj3jC9fZkWEpdJgMsE + ###+SSIg0qzDlyrvYNVn7sxleQNrml8GU0G5Cy+f3BCZ3A9xjXvSNfqq9OkPzVYsNbr + ###DqZzneB6xCsSc/X6cJ/jeuVBVqPa9G/c59zX6zmbVl8dRoPzHhJ380F6rb4a0SXp + + + +Valin, et al. 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Expires May 3, 2012 [Page 250] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###jGIoBGC6gEqpvvVs4y7TjdIYXr2uDRfY+kCZUDSktqDiT2/n/WgiG4J2/qe9INpJ + ###MDhFGvd9LZnxmRIxshDLw9cu9ANVnxAQGxLdc3KtBY+UfaMOMr116R87xbSpy9Gs + ###30NNYThi80AzIKcZNx71spa2H4l7BQi2Fmgwza3K7MLvsEDx+HYa4eWCbD8/j6fX + ###ccxIgCndfpEQGRXJg276TXK6mGAXS8iGlmBmI41vo4S2lro5ouDlQh3fUsXFCqNn + ###+LYe1FovXrRWXXutE5Gy0LyIPGyQW/Qmc19Fbl+IS6vHOi5R0zR7TT8qJ4o/+8jm + ###QR/r/G8QdSej9PHlA8IoOP9bXlul87+VVrvVXH26/H/wp8r/88c81flfdf5Xnf9V + ###53/V+V91/vdvcP43xAPAsHNw+Hu4dXwQ7oQvQ3luY/z8i2JgJ4WHwiFcgvaEmnjS + ###Z4aNTxT/vh+M+9EU2exjOj+CqrVoGTOoqtpzTVXKa+fwy8ICJXpcE6b6S7z1BDwK + ###2NVy+zzBaANT9WhJdXuL0OcNG1FF3ho8Ef5GzS6U6cBSVulR0LxBkQwD7Jeqy6As + ###0IBxvNDWecGwu3cfNnkLimHXg242dt5/NpTzkuPvquM/n2/8XW38C9qMIwb4Cz5M + ###5wyeemfQmEBtQHmzpRbMm5tuiQ5SZM9CXBuoJrTIpvMQq5dUu+rHebS8sFCCKude + ###S9vetZTTlXaZrmjIL+h1IbXNvVi2ixdL0fouXgKFc8bHli0K9xx4V0Nx0xrZz4fx + ###bl6vAIPFS6AEBjVaZ/1bW8mWI711QT+sQTkbOOg23Kd7baWGRRbqSj/gK8OHMiv4 + ###G5stjVFlaHMzqPfuKaEC0L2auhkRQuoBG3U94F9tSzMVqFszpaIiZz6ULmkoMbtE + ###G4XapXrAECC/OnrWNXrW6z2R8VOZsskvOUTTGYYP7VldRDf7zhb62EfQRw1pjGsT + ###yZwvMH64zq+/8tj0/xXkPv+fZWn3PRzSIxekvzFIIvrJcjt8BdLbM5ivhSUq/uwu + ###oP7MGZQKauuDCgrQrE/w2+0C7DXuiLu7YTHgWASg/6NC1OG7kdmQyJwbmwasGmIi + ###D6RAakMgVQ/fpXibUK2dw/9urSmMCsoBydvXUdjtDnkiycKU4C1681CYHSMHeKMe + ###v34TByhTPIIYJufn/SxWg2zlEWVyauot6W+bTfvwmd5uojeKcg/FeWbLur+0Eaw8 + ###d7ewbh39mM0Ynd23uyOBrHuArJTtpTYeBx5hm2fWF45tFz53/MhcNwzjvBUOXj11 + ###xk7mFeUZDfKRtZcPrl0e3LJyj6eQroFzaIGogJ9zuhZopMMO+Av9lBhVwqzbblFs + ###WMttQQNIlU7yV9aWJgVQZb71e1CX3wINAxG/pqACc6aProPzKNV3oUE0nSQ3GPq+ + ###9op9xCJh1JvUg8noGvbMUX82GNaDo4y9LppFaT+G0guLtSNg1awKig4GFChaHkpQ + ###GgrzsMRvyvi44s4hd3GEv/wntKr3qFti5K8W8ge9VHsFXVIGzVyB/9OEVDz6VwuF + ###YzeBcWhIr7oxgowK38X+7zj/SYYPevpTdP7ztP10zYz/sbzcXKnOf37EU53/VOc/ + ###1flPdf5Tnf9U5z//Luc/JFq92jo4wutfXLBTfysT94NV038DDoZcRP+RLtoYvx0f + ###7ug/EMMa9U0Q57NP+k/oHjnsWr/14q4MO8LcFdFNGnjdAEOan6HpoA46JvuzRn/a + ###K/RnBd99xKJnzXqr3q4v11c+qioFWroOdmsnC0GN/Q8+bm622uS6j5+pvYWA7Hb0 + ###A7W8QJ7WrUDI80zHOowvpk9OaLNLYSuIRyKuB94t60VjcoN/lfSedGBzoL0KJIRh + ###luEguw7FqoeHJ+F0FL7qsPtQ/EfAUGiFAF+kX9zZyLiKqARJKfcYMULswCNBcNPy + ###BBU3wCJmRBRwQkkdtqzuCDe2QSLjzpcH2y4Hls2FG26Kc6AANsCuO5pNbiisDKUc + ###9QRpp3Axb9RsTQmIF93YeZOvJNhFQFE4GvZvKdyqMxQ6gd2Ht88CLKgiFWWzXhFY + ###V/wXhIpICnGNpOH5OLUi2BDY7WRKJei8GAEzt2KJXXXoJcBOR9OoTzARpD/w+ymW + ###QzvHpJiicyK1i4cCaoLwE3cvw6iLcWGsoPAs8g0VCaBI8jWZ3vLsHCAcYgPJaAZo + ###oMDuJcFOR69Gw1H+usW/5N7KWuaZQCLODxqbA2ghADQM00TNlZIH9iINr17+UQy2 + ###Q0GaiEsGNaix4K1RarQ0gNAZNUgDm11lZFGivKuHgUWnW4UNF7JaYMdeVu1iw686 + ###yIYPTzQ2DJtSxYa/Gxt2pScQD0+gs+wDLnMKsPjKoA3l9NE9WleR+dZMWmrR/PQ1 + ###Q3ea+jFwl0b6ZQaKoJYZkoITI1sfDeUkMasl6b5M7UV2L1LIBOyymmm95ksGJK5e + ###OBazYqY618dEW8sJ2Y5ll8SF7eUSqHRtLYsTXP9G3gwXWCyGmAR0JL0ZDJoyLMIK + ###QW+oT4mK2xIXxn2JVxSwNIPbUYoauTMUnGe0eWBvS4I9jSafYl8IOjfYIrEB8BYC + ###EYZvrIwwCgscjJB+CK/1DNN4T98i3RLLhC2Q4tU55zIpApvSKEKM2UBRuH1g2WiZ + ###bU2Gd/CD5avzjVhWgKMnxCnHGU9z7VS0DmmJFcdSLMNGcaIUNlobzabPsnxRNmOb + ###U4j2gL2LEM0xtoeK5viWWSTReiYx98XVnguHLM2TgkTY6OE3D+RxeoKBB/aGXW9y + ###JUTizmiAIkgKLIxiYDBdGgMZOEfzAEg8eFgkNkivoHwPOUgTmspfFnGaKiXGuxsz + ###A3bJRdaLbQKB3/LHCTC+1zjzF7e7W2KVzSkjWQgrIAuOKossfia6nGB5R4k0cKP3 + ###oAtVbHZgItVsTHszBBXwMkpBqI2HUuFW1xP+xrZ2suTHWmLLDGt8FVG5+y+he+JL + ###ly30xcST/BVK/7LsfGLNfTZ6FTSXmgHjTPkoATov/A4bw+ntuEDDw79FWcfmBE27 + ###12tKsOuF72T6LCmvtx9lRj0bhCKpo0jf9nLv8DDcPny983uHNiA56tmAQvCcp6P+ + + + +Valin, et al. Expires May 3, 2012 [Page 251] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###DE+eqB6eHgXn/RHmlddAa+ykxPrgq1RfH3fmJQJn34GflF0fCLpaH0XPv/v62KEo + ###Ozz9aMAPUziJquo2C8cT8gIhzSm3WeHqwdRH7FWHVRWAYvkiD207Glz30nD0nddK + ###MPIFzjipXagITXjqMdl76qTofDTrgap+Dor3ddKbXirD0NOwZiDtfKzWMEidGVFX + ###0AjYgeYkWl1ZVdXoYR7sFSDvgbDXOTph9oge05KFCjbxIxCq/FSk5UmnzORwwm38 + ###fqRx08QgupGG/hpUcBrUJNLMc1E8NbyM++wkZMLCJ1pnp1JKc+uJxTIbW8kPp/d0 + ###7yuw6UWKWPNPYssCrFGuDNg8La9o+9XAzndQlzfasqbafTrH8ZczwHJewIiYr7w6 + ###dCFmx264iaF5VtI4PycCmm2tiR1GV86wqGAJf1mSXWRddyejVrCJsJ5hqDkZaY5J + ###VLTPTGc9w1qrYZMJlA+BTd5SrVjV5MPKoc3XdxgW/vlJinXeJLLBrjgqZ2Dx71Ca + ###ZRWRiD42ZK5sBSyfRMohjkl4o4m+lsnv7vKWrBBpktaD2TAhL0F41x/xPN76NH6i + ###5MvUSq2QwQCvsHNZ68OiSaQDlALGYmAzb98U2R19sMUk0liCmjTU4oUD3ylUGQcE + ###nm2y56FZAbaPh9RQLL7xHIjbYPNoR3pm4nmhByz+vaCAWQzVKQtbxY0wCSzaucEO + ###z0OWUtrz2CQrKNQ/xTrJpoJme7FKteWplNcrtvGXIBii04xSGOnkPSXMQyWWx4Ho + ###3h2XR0Wn34NONdVjMEYVFWjyyyzGAIBAIRcJa0mbuCyet3nuy6j1YDfnqNfsMpHj + ###hJ/7emEXHcD+MHL8eYzkABWy8aiPStH0esRnwZBNkqyQziyc7hwJw5JM4uzZ1JRG + ###e/4o9zloMo7Hm4VgleVTAG8OsK1yYFOW6K4U3BJEkVyQd1m7SDVhSH4cYHGMIX8d + ###kxMN7AxtqzclwNoegG6wihyWxY/3j5bT4uHpcTCNxrpZIqNCdiqNSdhp7RZT4jZL + ###daYt2UUlX7w6U4Kp12bDhWwbwx7pjKLE/tE9xxUD20Iut5BgaTHsAAM/H42uYD3i + ###fuJCUhHYRZB1kxFwnWR6y+Dnmk/ZuV1WxQm5hBvVe0Dyuj7SRYniRR3Zgjz2JhMg + ###u/cxu+BEzjjrDrB5+s9gFr75Nd88rY6WwL6asdDBQe3kyS66Ovbi0cWFcsmzhFl8 + ###dI07Wj++AZQVgJd6Op72oftTH0Ody9om2PvsAS6wRfuB66AeejABckd3GrqM2WD8 + ###Ar6/ezNfJo53b8L3r6JpuLdTrAYt+mUtMSK+YyCFwoDOKXCvWDJOnlrSjysO8UqV + ###25dLgCVoEhHEHIKYKHgJyBA4iuI6XGLHWCRZ2uM7FqisW8mzwSLZZIzJPdq8dbpI + ###C7X4RIUNFC3rjAS8FXxg9Rle7J6Hb54Wg5WzWeKxwc5MuIvdfvhmtRxYYUJD8o6j + ###7qWPskqs0yKuJMAK3kMRfB9nxMXIikIYSJoqwZVcCV1cYDOWIMS8ZOjDvMcQ7rk1 + ###9AQTOSR4AHkZUVB2zY5SO+q8WXCZzD2tKQl9Om9qCtbdhxBFxw8mKnCf3+NHDz4X + ###avXMZph+sX20oQh0ruQOJMFCFedphwEW3c0PhhejA4cWAaPlPxcDF2C1s0pHow/g + ###fmqCxb/Hk5gldEbl1JGh+AFs8AZY1ecPbyc7D8VLjBYdmnaYN2YbfeQWc4R8eehx + ###SQnA4slAdX5GR820LFgQlzhUkFsz2WnRJUjKOx0jzIHghVoG7NZJm7y8TFEZv3Ze + ###bh3v6SMnyPpyV+DlIVmfr5fRZNCBBuLfmH3JlNVdSM5G6wZdAuwpkGQBNHtux8Aw + ###MYLlFCo7ypXYgA/3w/RyXA5wNtprJZ2FPeISYMlSmGe8c4DV2EU6jcewhP6I50Ly + ###OJl2Lw/LoFhhF1gnAGnZoyuWAHsYDc57EQzXezBig8UD5CcoBo5YUgm5Oc8BFpYq + ###mVlDJTl6AVjULdlWgDVxXq3RcvlcX2qzlEIKxP3oFjhcL+4mqXWaDNtMCCXwHKfa + ###Pqvts9o+q+2z2j6r7fPfcvu0vLjQ8+zd1q6ljz5h5yHJNKEMr3RlRS2sO8jBjyEW + ###LnsoZV5HFFnMmnhsl866mJvUrqPuowjRtY+O0w5/7UWYy/kOy/v2UuWgOaZgPu7L + ###6m/W3XiBSp2t8M16OdzcFy/3dErcy3FC9IDN2wzGB0PfbRkJFv8e77wq4S4twYoj + ###ktF1YxwBRphgwDxUvkaTBOOnBN3ZFBdexvLkLVtG7MBW4m7cuMatB+NDRhPlFA7X + ###rkgoFff7yRjjSDIwKa8O0h5s0efASuMpmQizcAEh81objljmLnsAmXB6eByKHoes + ###x4qHKbx0eoOO08PjAsMaXU0/Fpgpnk5DfHKdIC3SqIov4hvTwlxlbIFNBfvTPAA9 + ###1jvMefZGPXjzlaTIYvUsRXddBgfVrnDLfGTZxI8nI1zNlKU7vb9XsToBd1jEefNu + ###yq8fHYe8xt03ITbm5VwvA3os06zJn1ygmTqkZSMXrlrMTavWxNhD7f9prTZaCwvl + ###WBf6vSD4LxK+AVrTTZi7i9UHA24gSc9066CBsrkvtVE8Ma7zn+zy4zzcidqreQhn + ###j+eEAvuRoxJmrvfcTj6OkOeyowFQMyR2loKWuEbrBGscA8mJzr83nWljR0rGeRVu + ###tttoc5zheGc7TMVlA1hU/Ld8YVKOdsQiROY9ZQ69xu/DN+9L3KvHMXInhdyh+sDq + ###zdJQ8VCm7RZoVRlWgBWJeIG8RrAHDoQgPwfYYWc2+Zp8pbiKeWBfRTcg4vCiQXRB + ###2WvJPwX42Cedj83lne+E6vLOfxY0n7SeOA5HFbCGJ5d2skMHVqlId4oTNZogHxa5 + ###zbVDTHZ+/O5NduSkG61wst69KXZHBKAwo2teq8YT191/3tOz393CWQka5okuC68D + ###HChjTq2T2zOJpI9OsNZR5hiW75v1YrA7+qklDnVRg1U0Wr3I7yW9G7JIGF2zA9ZT + ###RhWUJFQWLNQocLNbVK6IktW0Ia2mmasREidxHxFDJHW5IhKNcssq9/IuwtJd96wC + + + +Valin, et al. 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Expires May 3, 2012 [Page 264] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###n96qz9QGScOGYJxiIQ/8gI3C03461i1fB6jFOx9PCQ0CD/QnPuMP0Iz1xWvTVjoe + ###qnWEaeHR1GgPxZaQan2j5e781KCfEBNCcLX88Y1WDY1CfZTt6e/YmPcmxlnQFMoP + ###8i3+Fn4H4BHviA/8jvzmv4NoFaJHfNZNxvFxrYKR8xcXQDl/2MkRjG6A5Z6fXcdi + ###qytF9BnWpde0OCXHnnuDyxqJ95hsRv2AX6SUYP9A7wiAcAOlSacVg99DLGUdBB14 + ###ZWtTcxEr66/I+UvJLlCw1ttgyM1RyrcbG9F69K9/GV+rNed7Ro5h0du5r3CFejMe + ###eyOLQSNp7x3EW4fvjvZ3PgYr6xpvvTbean003/Jf8wQjEWvy9GngDvp3Vl+/rjaX + ###gxB4gk6wKXGHm1q13ETb6WQ6jMx0LuQ4Gb1AIifB6EKexWRPnLkoxb69IVgx+ha8 + ###23mn1RbgxkpUoI2S2IZxfxl+FnP7ymuals7Dmm4EWl1/cKvrcmYuYichzkboDXuA + ###NgPKeanhPr+e/7wESrIqQ6ai55G0gQf78JisLev5hv3oes6jDIVgfh4UYqs2odD1 + ###tkyGmfVOw37UhcR8dF20rNcQpxPfoth3N4O48Cw0J38pS7yw1tNJOmYpH3MsUIJz + ###8UsHvV7lIEG1Wo/wgxFCZbO0rOTnWhqVZb5mJz/nIG6CYhR3Brf9mt2QFqjlZ3uj + ###dUqJOcDWCgPbvCewcf0h4DqwhTYYt3+A/3z4dWlWR4Le1Jg06QSCY7bTczIjRQmF + ###zgEBNEwCuOccCwYu06qxvm42WWDaG4ZgFRCyaIwGge8PbkM1DJXPms+xcd3BrTfk + ###zlYuW+Ri6mSGw2Bre5td1pwnSs4PZc5GbqH7cS9q9BmgmioVinmTKe0Qq4h4FJhS + ###kMuszFg3aYL5VcaCF7BHO2yh3CBadVU4dSI2Xv6K226anF9FOAFL/9+yUpzly496 + ###6UikvT4oEOw1gVaBc04ZIT06UDBNRzhWKS6U0GNfFHFkUUHHjphxSZaQ7obieIK5 + ###5RZ/YYv8Bs+wQroDtvIAkedrD9wwcjkZtO04j7vumV6rYdfYDFJnJ2aPzmWodkZO + ###/kemcUFU0e7eSfs0Ih2tBLwmHSUkMgPDAqq/+uM7kJ4gD22JwPxcJipm0sGM1F20 + ###TwejDYw44ds0Yj8gGOoo6V+SUxL5UZlHbN4mYsD9ZsOYwsycFsYLK64s99pqYSXA + ###Sc14T2WvgTEbrZYd5fSxR6y7LTZg/fwDx2tlrxHZQ+XJpXLxOksvMElObzAYmvBr + ###+xWvuS4yuRjfi4FLXPbTjjkzJQ20azAwh6lNYXnNGk3dt1m5GSKXNM1vVsiwyz4b + ###5P5uITAYBmDa9kSDxyencevo6OTwo9mdCBgz4eQiOJbC8NksfwtykOl7rkMN9IyK + ###6Adzjndxq+wPbrFAltE9bkQiC0EnGqXn09G4+yXtWWRKHADD0iyIKMytg7RmGWCi + ###Tih4geenXPYrwdxz8dxnAX2/RfQdloOLp1anEyknTVlDvZ/eSiWI/ExH6Y1wTjWe + ###EiJSr4MHEPJRB4sGNaxsWHcUvng1KIBliSP7OwaYFn7fGbDdmHvTw8cjrzm8eN11 + ###5lts7qUWH//wzVyFsjSTIIJoOOj2DVGfBmbsYxsOHgLpQ87QEw0LWenTH2gSvoJ0 + ###0bNzG0qhWRRcGmLppfHVYDQpo/kArZGmyqw2+Y0NzxQdlNhsHtDFJWhtl55+QqQx + ###vTExXa8tcyEkEbTk3KnKOx7qPZQrulPmPCu/Bh5RoIlhg9PqeTE8xkPLHgMhqIMP + ###58SRBemkXJ0NtUo+ZCCj3BWBeKEB5D2fNxbOLUhjEf+YzakmgmMsMhjsyoEXfvJA + ###MknAWYbTm+II9iH6FrZdoKtCP3Mx4PUdifxHzsb3Rqy2fAMi+b512mjKXWIkyLUb + ###JeuAXfFli3rw+Ndu6/WGf8hpvtnt45vA+OIxwBN30vMRMEAsPUGDXoqeMkJsQasU + ###8dGoZScte9KPc5RqmnJ2QEkeoj3PYsAgan1JR18xpWyU9ACazteInASK6Wq+RCp0 + ###NcWrlcomPQ0LCiHm56LGAbsHQ47mo+uqiBItRk6Kd2+JLHSKNpfDU1SwWU2l2ill + ###w8alPAoWie0KU3/NzDCDDiCJzCAKdzqDGyeDl7VTMH4aQEGIzzcGbJnWXsOtrFIy + ###Leeu8dLmpqZ3lJP2S7mL0Tf7lunOZd+SxT6rlhwSxC2xLt9NacvIIOgae6zF5Bt6 + ###CNN9WD8TbePv9jvd83SsD9JgodvuXkKtSO/O07Qzpmc0uE52gyCprRC3zJokvNjh + ###wgzKVtHz+taK1a6TnDOY8cDlnF17rzgD/nHtm7AU7TDjtJt5Y2RE0duaedxUjlbF + ###fFhHPyv0q5cpSjiHdM1UUd/uM7nckomxzzqVsynx9r9gCicjG4y3O0uA684OvR7c + ###oc0xYGIA9VWYv1esX2pONVp3iiqvshEbRGrVRwWSou6TSp0Gk2wwqmwYPvuEYj2w + ###spJp9fzzcev8Us/CNj5yH2w3ZmE7C9Pivt0/YRrhzsA2PpSD7Ue/1FHKztbhwbZv + ###aQY2SEyzhPYflHLHqYwrosMHdFE0Gef3OAsR14vvaGbnkyTnDElkI5zrBOlRL5W0 + ###r9CxlBttUfAgJuOEMcsies9TmPUZpzDr+acw6vYPPoV5pg9icAqk+Dq4cDAOQjIG + ###wIMMgTJQhAm0rrqYIB4kNspGpm2SHSClr+Pvs0wCJ9fCl8I1xeT4TpCTRdD3gvf/ + ###kLqhXH99fx109ChczeVHHAe59v35j4PWA5Zdz/pq+dveS6fKPJEgPP4m8PibKSWR + ###L270WyhBUqQ30t9c+0HmyVXnh1rd3WHmvPPAucHLsLpHRaen0HmRMfn0/KMeRuFF + ###NVg09CHZQ8Ng5d21aNJ2EJcZpzjvqUgjeQ1bIpp+xemeSsv7Oqo+9+ymePX+cHK5 + ###G2A6g6DHrS1K56TqkYsKcS5Moum/OLsqgGnS5xzrpbBKDV2UdR72FZWLGLXfwBht + ###diEBse2TbOufDTrrvCa4dgawpXIVi0GcE8+GPy9wdpbO4DEj+WN2B4aJhT3qjZMI + + + +Valin, et al. 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Expires May 3, 2012 [Page 273] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###F1plmHwyiFkrXVuB9Yq8hxhERsWO6HKg3EHPB73pjcft8CLyWwHhLosnWxkV7ZIF + ###SkqqzFKKFtZcfT2WNTegqXjyv9xA51YLmCkWkDICW6bku12DV7/KeJ42EfN5dfhs + ###+tMKhnBKj+iWTi1pdr4V+LDVhr1/kxkSF4ehi1OuvK68dYp7R47hILBceRUXXZLU + ###Slim6PryREg4cNXYbliNzRcGCIxPIjLjTpjkfyNxwNlbCMlelme585+5235o8S2O + ###mBeLL9jVd1t87yiQBD6+EQuxXC66AiusUxdcgbKn36I3tAqdjqzX81ahZcSQsuv3 + ###WZd/trP64nr0KyP+42w6uoyFS33aeWgQSH78R71eqdac+I/mWmOR/+mHXIv4j0X8 + ###xyL+YxH/sYj/WMR/LOI/MuM/2t3Lo9HgXKWA+n90qJcaaTvo3Ny66usN6/uLZ3a+ + ###gmc6oQWG7VeeVyqr8GO1CUIR2v6bFLffgJvYEgzA7FQF+DtXQ8N2nONVWVtVjx3E + ###m0Bq8dud1nZ8cnj4znpM97l3IG1qba+xcrVpwZb13BLFkR+3lkUKrcHNEH26RulF + ###LxVBMJhDCFhrl1w3KG9+18x9ZPmtWhLqbL/VZ5hroT+6NH0us9JUzXMV8EflruNj + ###S98Ods3pqO7RdWjULdLxvJxNwllzBPJCAO9LkjwpQ8hybtd5ma5CWa5CGa1KMtvR + ###T5GRsXcp2nbyzkQMSYGsQaG8S8FkWmMn4dISrvfn0LefFGa5WNehfEp5uZNA+Ti/ + ###BoEDhKciDmB5PsUfrkAsonzru6PkPD5GCwF3jb8IeazTEVLQH+loUMbySwlISef6 + ###eK1g1/Yj2wGIuevDB6Riyku/dA0CYClCn60/OPvSWH2I07vJKMnIf7RVgVenN6WI + ###2MEIUQVqSgvNHcct8aFK1g/xL6DxDj7d1WbkWsroLBYVn0aD20/CuQk5JOVwwrxC + ###Accufg+Ly4nX5nmvdQGDkI7OGe9ldNi6CAK4oquFBd45y3sncK6Ysf9JFzRjJ11+ + ###5b/tPq72QDwllc6naltx6BpoQ9A+aDwjYwGaPqJuaiIklKeKtO5KJodyMw9hI+iS + ###JB+P3lg7oWnX23J8Q9Dkhj3xm2X7TaeuC+MCWnkjDmf5Nr+/Yb4vbXdumvzeH04i + ###na2Km2zHWknwtCcmlKEV/bgxdvlKqJ6C2ygX+nDeLVkoKKuhOa4SGpMnIUzKXmaV + ###CwjDlNz5MBkiUAGY7NktZwPlzeDKRoiPfdOEepPejFMkAs1cyPocWIr52e9tirXn + ###i8zUwgcyGlspn8aB86I7mWXsDvdtZ30EHFz65EIGf17TTo8fMzxTLAbal46imOdK + ###j2fZoIFmY8lrQuGt2wcpK0Ztv9qMkx4IAWknhjc4h5tMokUbi7m+y9Dxcilryj2H + ###CpfK/uKYtKm1CPYYd0URVy6KOYvEqe6D3gdLNrnPReu8Oez1u5OuKPMoGT9tYaLq + ###EO2A8mOFqzlLf4OQcEU8kzA+46KcXIwDlQxMzV5Fzp4/c7rKqcgHCAMXFjktrsmA + ###tSU2T4kHpf+7VaZZN4YYLdIWPSebQh/5wUhIqqMU9lC0pkkVIdgJTkfrIvveRa87 + ###nHaWWhfL0VKhpm1eVa55ND7fMsOr+FKjp6voDV12mLvJh6g9XFvhBL8gLJr7hkUe + ###1aZJIF7XtYJde6uPVnnpAV2jHOxvaXOM+riFQHjetNT1catcbWb0GkjeN8eA79Wr + ###6zDZz3eYtBjqtel9v9/CktXufalIMLrK8JtgwsalUvhpnhkAVPSuNQTs3O/dul9C + ###KlK9e2hbMf05C/Qu1SXoVGoc16b/ljOVVRc2oVwplWsmStwrfxplr7VArzW/12xU + ###zNdr0N81sHTKYvDSFhZcljOuYqs2sH7KAgPft2tnEW3MXEW47YZWj/ydVXGLSD6H + ###WnL4GhNx9grCvT/Y85nuecaakYFLc/T8LUsECiknf/k9rRwmoQJc5MF72v27fvCe + ###Vl0LLhnsurr2PbazeTt8pJ0MFsSftY3Jrr/3HqboQKiP8cnh+4PtJWNTY1EiPAHF + ###ZwQvsz8aX4CzyQn3wMzqfVaHNbfDWQgs3bfDzA2QdryiO0yRa9Y6o33uh3T4KJvd + ###B2+zC76LVxGWVRYNKfKnarg5wWz33Cg/eBvlA6DO3ltDA3nAJmuX9VblAvqDm66I + ###Q0Efl06qv3PWeAq2EUn7jRPLpWEyAhV62TxCczKG4wpwTC+fH402czidXAsmC33M + ###nvO67k9vIrEmvs+V1/XoUm0hMm6ETTwlbeEpLO9mdF0N9l1w052tOnnmeWH6Pxsv + ###qZeXXXu9/R7Z1KWcj0dkruWtFRaBlG5EbzwIRQDjCjXjhuuZPWOCAN272A1Ns5t1 + ###Cmbtj3KPMpUZCfOMzd/cEr3ua273jsX04d3LpRHono4k7e6RcBU/96fvPt3by8Mu + ###JuB0762ha3GwV+LdakUmbcjk+/e9soeXvwA1nycI+xJCijZ/VAEkD81y1oyuH1UU + ###mcV3bd5HREUkf3+WN2/Xhr2Bus8WJefu2p728FZ+/80aLcya0+KIlpGLw5LxzjHJ + ###aYAHvL33i0ofoB0LME3JjKNHgPsgvUwoVYR0AAJpY4TW+GgyGERX3csr0PRT9NvF + ###DMTC9djw1ZGOHKK6yl13QjksgmV3+MjwqdxzSLOtlMjThk5pZpwUWo3xIXTFveuk + ###gLClLWn8x/mR9eLUOHI20SVaSsuy5lNoP5UbirGZzianWReSWyu8cygEqu3gAf2F + ###+tEDUT8V3C7FDiaJc9lceTn9mBp8wX1R9FykH82RNd35h/bsgwOtEbufh19wj9lH + ###ULg46ONZDp1tCJadS2GspD0KOy8mphgiwMoDSW1ml0o35evBVFegS3t4DyfA3C6t + ###hAfw3Ek6mY76TgVXVRBMykqsNPyITVwSGuV2qTYfV30iG0bzmVHPy+Cy2z7hz2Ud + ###y0qWMwsOvEyZlC0LtIOaYuYsq1RGR9m6cdXtUp9JVe/RWcbYhAOutJ2UqVXTm4dd + ###g4PDL+J/UBLGtczTKn/42hs5UiXsxq8WwZ3/ppcX/xkodvnQAmD58Z/VSq3ecOM/ + + + +Valin, et al. 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Expires May 3, 2012 [Page 277] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###+K9c36be1+giGSNUOnLP2PBDHkGvZchp9L/SB6eC+kgFKzmZFMldZkS2StMu+iVl + ###6t+yR0GHK54M8b+hvio+4zNqBFqML1ArEJ1tBr1OyCFUaKNs3HS5Qb/nGOlRvro2 + ###LTWWyRUeZ1OrJTB2MGAisdRaQyJwLI1I1te2Ec33HLu2PcdsKNhiZEOxJ2wYIR1b + ###UtkMRzNHSrH65BZCw99HA7yMX7y9Svv24gRJZCwKsZoAXfAwLL0El0U9YGyQROL4 + ###AjqbNu6gUd0TB7mr1zh792t4hohpLhfLbkFfPijklQiC0sxhvH5t26y+OdM8iwO4 + ###MKFnJYl2NlPxDvSoHeX4GaKjkAPjdb5wYDymuJ2z71uPMGRBKszqP0SVfNZn8oSz + ###r2J4JDAnl46Rj5hBUU9Ms/vMhRpmFxRU47jgXoJ2kQDXTEHUPutOKMSGzjRA4bhZ + ###DkMJEymWTOWuUtmly5tTKpcGnGmYjCjAyHKIdadUT2e/5zvVno9Syhsgjlh4W1EK + ###hsf/V1YW5a3sy4v/HE9v4vHvo3h81b2YPE4kaH78Z2WtXq858Z+rtfoi/vOHXIv4 + ###z0X85yL+cxH/uYj/XMR/LuI/M+s/tbuXR6PBOSd8e2IK86qqKwnJmAuI2DkJUOKU + ###aXpD7EmeocLHJPqSYqyQsF2JirCTapPevkmuYecDmRb+6yIHjXJKzRqXle7NkuKW + ###XFOP/65Qi62IGRmcs6O8se5KUXJB2h02itxfbq5ivBkwmV0HH6HW7Fgd2fWBjVkT + ###rclw2OsyPycAM7rOC9h5dueHCEljnqgCLCdp3qvAqN0SwUbX+8Jar6oEzwVE2NjX + ###LQHaLia+yW90KTwAydxHd1EVNmJa4C39DYAulx3fbunICbfww8oGOd5rW4R5CEX+ + ###IvHgy0XvdklYGu/IR5v/mjprgfdWhOe3/my+ry0sQS8mw0XEcfsQHS9pJC0bNkU6 + ###aVqSd6fiNgFkuf0aiKvZv56N0uTad7ZQCJ2JS9NFlLNk5SLRfsFBpPT+nInMDJyg + ###DdHCC6HCRY7ohPDxV5ufFWuCzNlA8Lp4YEYlsW3D7mE/lZW74e4FaRggP1Kwom1r + ###nXuyiiM5iFfDawe3EPLRAODo5D9Bt3j0Dh8A9OndZJTg9w4y8T/S0SBamtwOrF+E + ###mjSYJL1l04qPUKID35bU3bMW+zzz4cyFHoas8p6MLkmjUPgVWwYFhSiuJncwtBMh + ###L4NG/mzN+u9xefafTorKqpme9sE2oBn5/+uVimf/WVtbW9h/fsS1sP8s7D8L+8/C + ###/rOw/yzsPwv7T6b9x8z1tU0SUqQlJGIX8P1rb5B0bDuMJ00ZWffFvVD2EughM3mJ + ###8gFqF8haotp84XdLTHLQs7vdmox64a65WzH6UeS8ntdtniEEd5etAakdmd3iX4z8 + ###nCD7N3ekpIc7q7REocCgug0bQa5h/d95aUeGB/vtXeHahok09o+24sMTYJ7kD4P3 + ###KsGbrwL2pfXo2fnZNdYSo/oDrMhsp79PEwDiZ6AiO80HnvePYUroPjoTyDkov6Fn + ###pUc//orH+x3YncfP6c6e+KJ9Gp/Kp/ZBy8Mn9rAQfcnEL6izW4fbRPrbe8hEgJv+ + ###qlrvn4lwwGwf2hd6OLQAEDXZ3vHGIAm/guyWNLa9ceENHhbfG47p8a1NMwMFh0bh + ###LXMZAhHATjIcgRx0TtKHTN9guODa2McGai0L7Ufw9pbw66x9EkYRH2KkgsEIV4EB + ###1d5F9JsQsShnTvr88nkJ5I7zREiyAAjSK2Ds/Arzi4MA00EHUdBvUZgSTwwHPcfn + ###GDPKg7CUjknUOU9E+rNhcn6dgko/GCtx9qI7GrMjhDDTJtH4lhLPewtS+OPRUOg1 + ###Ed0e02uxyA+HzsJOYq3AZCHIAls10LwblgJvdJL90mtyyLPsK5wRwUj7p3EDshmt + ###SLaKEue1H6GJp0xcJSd+Hp/DYhbdwXRMzVRLSqRlbzz6OcyKrMto2bWFukQSjmg3 + ###OUtXBuYLkgcINUfqUsiiHf6LX2QFj3z02h7Pqlfdcjm702XHSvPN8WR6+BIsvgwr + ###NisOr0MC0vWF47gEeNKGAT0wxZK5SnoXgo7GKXJL8YML4016cz78OhPGPEZiT787 + ###gmcqxaIZs+bY9nxQ7KnLZ1bZXTCzaUnGYfIX4FKbH3ZwKTISxwE+go9u9Sd2NAFC + ###e3ab3g1hlaWjQsgz4C1hv3FrF6TeGMVkdrWfv/nqvM1ns7BxgcI9WbEiFjNiKZIr + ###N41tZpUhwmY1QEGu/spi8ROf8YYCnUohwbmBot1gOjJvCqxSO/vqea4blCVB2ICC + ###FJKeDQbXEbVrOYYqkUnFQ9k1WV0Aj3ZORCOfKVoT96uh9ohHg560XMgeTcy5ftwO + ###8L4vN157d5o/MxAAIwHhOGerPowdAYdDUmN2chMDy/C0JN0Gtv1Mvw47QVe7trKH + ###skbfJwTUe74U5YQeW2y9MNVCD25QX6EWMvAYU5gvYVPDaWNEPII4MWiEjonG8YSK + ###rBC69u5Ucid3K2DeKbPbekRNV8VWflzK9jkoPLTsMaVAL8akUj5dPUfPCvRibgUG + ###XN56sDPu5GBQxTYsvGH/vS/v/Kfb74MSgBbRGNb3ZT/tfOf6z5XVStWt/9Ksri7O + ###f37ItTj/WZz/LM5/Fuc/i/OfxfnP4vynsP+vmSZcROS5UpMQt0MR5RgUL37Bq9v/ + ###JT2vev6vqCzZDqBFrJLGleX/6nZdK9D1bOfj2V3bjxBynIMm7tp3qJb+Xo/TdYbr + ###LXUtx8vJYue6Mk6dPKdb9Aa38wB5frRuPj96w3EHpGDQ6U3J9i8U1CSdDMX8KnOu + ###yKVllekQORiwnUVc5L/n5cd/DkaPFPaprhn+f4160/X/q2NI6EL/+wHXQv9b6H8L + ###/W+h/y30v4X+t9D/HP2Pcoxg3hRkZSgYRUuY4IacB5LeKE06X+HvzQCrLsBdYBxU + ###23C8/JPQB+D9Tawag2478NPhUn9ZyPwY1ckNmG86+gRWlxuMVAPw/v/Ulvl9mRSn + ###l9WCeP/+l3i/fZVizuQr6AIHFV1NJsOfXrxI+89vu9fdIWw5yfPB6PIFfntBD8eE + + + +Valin, et al. Expires May 3, 2012 [Page 278] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###KHo/R4HWLpJdxjC9CF/PAS9j2FxywlafJZ7WSs6J0fu+RMaLqC0+BMMn8xwTn3U7 + ###VlwoF6mT59bseCQ3H9ld2ktFiFK+Crrvq7zk3Rj9YiqeuXOS2fY/nWdV2zqM9nww + ###GkFHmmSGg7Hc2oP6q8A5+RZ42eDo6pai3+apZvbP6E2ky0JYt/Zzb23Aq4afygdK + ###Ai0O+uUhKMofXXOGzFo4hob9T1+/hglnH6yuG4OGVMQtqkk++8q1CjW1RtLHxum1 + ###mtmryEu+ESXUt1N75TeERZRIwi8iZVP09Cl8E++9xvd+oxDC6DenehJedFdEckai + ###k9/QW0KRRptMKqItN+c6ooNf3uCv8mX1atf14tA+BU7fgn7MifO6dbs0ABVvWL19 + ###M30udf2XffaCoTzi42uU49AJUJQuEZlp0Y8bJ0s8WTL8LEFajAZ9XBpD4P7R1tF7 + ###ISyKMEpWAf4pncaMnuSi8mb+n9L3o/jMo7uRMbv/lMWv3KlVBIIP1O5LIA8kkgcQ + ###ik0s9yOY+YlG94pODywLwHa0g5kQQbZ6QvV+QOS/mPaF7yJ8JoogzeHsq3SzvUs7 + ###ZfI2ApLp9hx/f2cz66TMHoT11d7S7GwE4nJ3NjmguXa30FUkE4Oz8cmu59r8crrO + ###s8m6+yKPmj4U3Bvv2bW7bVpdF9w6M7r2zMFiu7R+kpvrv/EWqtfID95C39x/C733 + ###BrrYPn/E9vnm4dvnLOJ4EIHcm0hsQrkfscxPMLpX3DpZOS6gwcUJqINirs39L28D + ###/M77X95WsB947ZE2ocDBYJZaNa9KpZn+I6ssc6y8R1dZ9GLKXkhBhqlWQJj+F/6u + ###7uWd/5Ez9TiWYXfxh83vnf+jtrq22sTzv0a1Vq2srtUx/0d9kf/jx1yL87/F+d/i + ###/G9x/rc4/1uc/y3O/zL9P4VURCdXhgZBhceMHAdbm1UQmKhO1Gq1RuKoIeKuCc2m + ###Vhd/6+vi72pD/G2+FH/XV+lvtSJi0UAwUpHD1bpwFK02RFvVpvDerK6JtqovRdu1 + ###ivhek33V6i919HFV9l8T/UQN6Xy6uurAIZ97Kduu6nDyak3235D9r8rvaxK+9TUJ + ###h+y/VpFwNA04ZH812X9d4mFVfm/Kv3Js0UvZV8XAR60pfqvLv6vymaaER+KyVpF/ + ###5ZhrjYoBR8WBoynhkL83JR7WJF5eyvmpVnw4JC41PuoSjpcOHFWJjzUDDqYP2W99 + ###zcbH6ksbH7LNamXNgEP2J3FZlWMA2VrC0XDgaGTjg+enXnPmRcK1Lr+/bAbo46VD + ###H+sZ+Ghk00e07syLg4/mqjMvTKf1AH3Ie5LGq02GR8IpaatWkXBV1w181Bx8MJ3y + ###emH64HmRc1/RbVSrsj+1ftcz6FSul+rLwHqRdCnvqXlR9Np08FHNgYPXS8NZt82M + ###eTHpVOK/JsfbkOOXcxytNRz6lDivGeulvurQp/y+Lr9LmqrJvmpyHmuwvjR9MD7k + ###37qEoyG/NyUdr606/CO0XuQ8SBxWJQ/keam+ZLpgvKz6+FDzIvttMJ2sZeJFwyHx + ###r/BSc+Dgeakp+qS/QIs+nUo45BpU+FBwSHjXJS1UTD4m8S9pS9Mpz0/NwYeEq14P + ###8DHe51YdOJhO15x5aebwsSy+zvNRC9CpxDfD05BwrNaddbvqzItBH3LNK3xI3qPX + ###i5yHisQD83WTn0YvbTpV81Jx8OHOi8HH5JxqOnXXrbu/hPDh8g/5vcFyCNNH0+Fj + ###qwH+wfjg9evOi0unzQCdrtn4YDlI4YH3FznWSiN7329I/Kh9jvk584/QfsvyB/Mx + ###CY+UqTQflWNjWqhpWUrvb86+ovgY77euPLbu73NMr4p/rDrwrNv4qFYNfLA8JteN + ###lBWqa8y/GB9rDhwv/XWr+n+ZgQ/NRwUcBj4U32B8SDxI3ld9WXHWLe8vq4F169Ip + ###44PlQvl7aJ9T/JT3fV4vtRnrJbTvS7zLvVvDUcmAI7S/uHC4cjLjg+nUXC91e70o + ###OHjfZT4m4ZFyu80/ZL9K/uD1kiF/BPd9Xq8sdzBfZ/mQ93+mUwmHJSczP31prxsJ + ###u89PA/KpWi+uPMby+pqFh0juVbh+fT2K9/ssPeqlDUdIj2K+ynpUk/m5vL/O9MF6 + ###g7lumZ8yX2d+ynJy3cEH6y/VwLwwPlhOlvPi7nNq/dYC+wuv34azfpmPSPqs8nox + ###4eD1yvTJ/IP3V6ZL1mvlmA3ZQeu1vM8yP+d1IumyynQqf28Yqc7c9arwwPK53l8t + ###OGqmnr3urBP5rJRZivFTd7/n/cXlXxIfFdajTH4q+/Xw0synU0ufc/VsloMqDjwu + ###vZpyUEXBJnDF+h3Dw/Qh16/a99eefHs102TS3drejT9sfoqaDdtmouid+WOF+SbT + ###Rd3uf1XzWQX7KvPgVXsMvJ9XNZ8S88D7nDGXL5mnOTon0xTTGOOUZaqGsa8xv1Z6 + ###G+tRki6Ybln/juTzkZ7LmuSXtVXeJ+T3Oq8LW+5hPQrlIYUP5vlN5n0sMzh7Zq3h + ###4MXQNV7y3sc8n3ke0xTLdI7sbeorsn1Fl6xHsV4XyXeihouP2TRVi9s7+ztbp0RV + ###tdWma4qrlO7312DdzMYqNeuvIgn+y+ILb1MvDTbD4iqLUky+rHayGLnubJsG646a + ###bD5shvvjv8YYxO+6DRZPVfu8rFmkYfWL4eBt2yIJSU4s2lR4C2kG8aT+1s0slVUH + ###1oy/SpVpqt9VG+vOMuYtvWKLOhqXvC1VPXzwclL44HfYjMWspeaLXGoeHkBjio3M + ###24aJU1ZJmP0xrIoN2nhQS/flut8G44rNBKwO8l9eA6zCGW0oVV6Znng+bJVNs2sW + ###SRo+nUp4aowfZv+swrMaVPNFcsV+WTxx14m7Xli8ioz1UtVqiwUr41bRmFah3bEo + ###c2VdryULD8xf1BZX9drgZzTbXXe+N+2/da0GuPzDXace/4o4UYReo97cZrbh4Jaf + ###M3kQb10skq86PInXb4XF+zXVl4uPmhJTmOaZ17DK6tBz3RSFGUcZc6j4m3NMYM6L + ###xCmbCxX/aDj0wVuuolNDFH5Zs3F2D/6h1ovihbY4zfNWYzGXzQaG2qf4NIsBrMKy + + + +Valin, et al. Expires May 3, 2012 [Page 279] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###uKLmoerwE9NUy7DVbFjrzp6l6JXpZtXfX9Seaa8Tn98y/uq+6MMizlpGW+sNB16f + ###xhQ9Kl5omyuqL1ktU/NXRGxRovCac3yoRT85Z5JP1tjMzOYKJSbp9erOg9+WXHsM + ###Kx9NGm1l7dF+W1I0rTgiYGTwvgAvCbbFaiiL3U1DJI/cOcpqi0VllmEMONQ8rxVs + ###y1ev2DSv1KZqUbiMfU3JFaxmsIzGtLya2ZZqo8EmRj565HXJ+9jLLLiK0OXm3mmb + ###jrZX80jT/sunKTxVVUUiqz74GW2o4fCWwtosa+BF2uC/bLFhyxCT+5qxDcnlO6st + ###ttQozcc8AWnyKZ4/XqsN1vxZA1ozxBRl3WPRZsbY2OJqWuxYDFNtMXt/OXOMrqVM + ###seZVW7RQbPBl9twqsYDFdcYZn6AqMdqDYxZpHp3sbLPHRb1ik6UyCqhDLDZmsabi + ###HErzbtA0dnJeRcqArRVq8Z0NhjXrd9zBNDnUbBQqwzHvrCzRMGlr6VpPA0tFLEnU + ###7DHpgwgXZcLNXqNse2f/tBW/2zsgvGG2/+qagzhmGcz+G8537++qYn2+FZ/ZT9V5 + ###h7cYZktr6j63UW+Y1iOTH8XjyWh67vz2YTPakG72LM+x60x7b/+fGHmOXj/t06Wo + ###8hzZCCZVDt+vPq9EL+RT6qGAm0/ohtzB3VuaUv2XDGtF6GZGizZbdu+601wiVPr+ + ###v57/t6zrE6PL6vnjJILK9/9erdRrXv1H2CsW/t8/4lr4fy/8vxf+3wv/74X/98L/ + ###e+H/bft/B3JE2BUhOZvR/4PHulgWHsWvtG+UdYx37+6ENBu6t/cRuuqNU6/Z/aOH + ###NLt/pEegHNinGLhtlvXGDtRtKoISp2NMWYF9Cld3bA84nRMzC73BU73kawwMfdS9 + ###+1T//GlVaBAvnqEoHbWO9qJ1VOhQBEflFI8yZEIp/Atw/y/qDKgboD6AusL6txLc + ###hlfEbbzVlI/Qf+J2U97GN1CEr8q/699IvlUwElrG6WQ6xHp2yc2wZ9fezMAmXs+G + ###452+U39TRSAHrgKZNfASxZLs31R0cbjZ5YwRXfwVRuI3mzOSIs0eUc2xdvePNL7h + ###pBr3RND5ACf8rjv5moUopylC1JY1pEdA1JYCw252xojkquv2e7j4Q+Pb3zw5+a4j + ###s1d83cv/fZqMLtPJCVLc2XBceGRPROVAqhsrgcZb9hBZAZUP3J/UQxeP/UiXC2tD + ###0wqaAApnXmZUPiJbwN8WJgrjsVTdy4WT8ciIErYOTKNx/+te05oNpSrKS8+DgH2H + ###qdpHiLoleHH50UD0H6NiqfHZbSxqm2bCyCDu9hKqDiyKrIqXUHFJpp3uIDoD/eS2 + ###2ymY0aEgiFjftZ/2Ds5mkKOaaPE8571/0FUQRFAIz9NYMPJQcgpm8SOsBIu56ukB + ###WmPlN+Otm/5z0Ka2Tz96DW9EmsrLb8RDr0Ivb22ezH4ZHvJfBuECIXf3UvtlfEhs + ###+0jNfiNAsnuyJK/ZmN2I8VA7ry0stjyzLf1QXluddNwdpR23Pbst56G89gCJe/1N + ###oPLdna08TKuH/Cb6kj7HKNVlNWE+lNMEg5zbBD/ktyMXPy9ayQMwW4jNFfw31Zp0 + ###iUbdeGWW/DReFOD1sKAHSMtp3EtASOZa7/+JSU6ePrXeGI5Agu71iPFsiCQoRp4s + ###p3lNzP+54bbyJdZ3nT6kMPnGaR0v3GKpwDQaZHDKaBkgyyP+LG1PN91Op0dGFdr5 + ###iCNy1VcnVxDygJWNDIk6kvtuADirdrDRGBacgD9ulrDN9OuAzEvdsSjmGd2m0XUf + ###mDbb3zAtFfzXH6gizr2vZFnriLLXyrLHs3M2vbgQEobsZC51UcK1jdrSDUpiqoa3 + ###jVG+sgqhz+5FImzDln9oh9LEvoQV3hWSS8bSYUwjbZmM3SQN1YX5gFkJ5H7IORql + ###Q5wTRRHCUEt4h2npJJPkocgpRH6a5B4wmHY6CczxxSj9fQrItjMrP9pgLtxBlCym + ###KEmZtaKHD1At9/OAcvI9BmjoYpkUXH5jQvPwQZrlq2mN3qQJJqKjLJ4XQLBApA8Y + ###pMnshNa6Dz3Fw3R07uxpQ3X3CG6iVfwyffDoUPuLpmNoyp+57zKFpG46k+dogMsB + ###ETF/68Q8Y0+4Q7UnfPtL23DuZcTxpWshVdOh88FhvHNycnjiVYnqC6luHE/Sm2GG + ###bCKhAclBfvrXv/JkCEfC0DeWqfVsIYU3D1eY4dH3u5Nu0gMWJbNE8l6AaWLRWAg9 + ###PcfzEtwraNtMDe46uIk0JKCoyc5yhBDVAaCqO7EJ87m+SWRRCg9Z7RjP0NuhYskq + ###bt1oOcoWiJjnyEtuVUb+aAzrOxXZcGGWBiM8a5sOeXClaB0H1FiPiK2PQQkF5kNp + ###+Zru+AxXjbsY9k89bZ+ipagGcL5rfYx3T1rvduL9nYOfT9/G79rRSrTfittvW0c7 + ###+G1ZPoWv7rbjf779b7cuuYM+sXCkLwUNwb35KmQDz4D7GQEOD0aKzuiXV9LGnTdc + ###eOtTcJTWEFsfcUCcnMVsz1otbn10i5RRUIxFFsdSVAWc2Th8FiD8V3Ry0M9DA/V3 + ###AXxtUqNSCTHVYlhSgytZGCk58C6HB2UvLXtZaXozFhNI89S+kLuA9PTCmmc5hQjB + ###KTPnI6kkF1LGglMbhDG40+8whkzwnVVVMqbGmwxPn0p659Mern1dmlA0PxbKyVUy + ###js7StK+mpdtTjCDtuIAHiXV775d6La42l5zbz7IYWMH5CI3nb8mwrfHOHuOWTCus + ###BydMu2cWtdmayoPGNmtYmt48UvQJsBC/IU5TI67D/MbmMrrLebYQrUtJpsSdcgpg + ###T9Bz5IwMMaO4tLc435LNerJjUHIMaD5jXNsSLpTm7L4dQdC+6VqrAi/DsqPMvhZJ + ###hp6rFXyuUfC5Ji12RzYzcLJzsBUftbb+uXMat/f+ewdwBB/eHx0dnpzubIfMUT5u + ###Xm+I0dl9WMbMXTI2gUIn3hSaTObTZ/F4enYxgqfsjjaoo/8PFuZPee+bAgvvFcwF + ###rQZNI0hWY+KUf/9oK77t9jMa3d07AI6zd7r1lh78sHcAjCGuxe3drB6y1YX1YNp0 + + + +Valin, et al. 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Expires May 3, 2012 [Page 285] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###5Do0kK9fUvLL17Ci4bqXdhp6eQgV12VWHr1m+xWsRK8ddVWXpuHdWMgC722xupuO + ###uvW0uisFj0MnobguTM88dWpz1SEsaRxynbdVHTFwb97OAeeNH3R/9l+u59XRnX5E + ###jPa5+oMh2D+phEzOOgkXo5UxCMhwQLeaKmwFnYb88XSim3SCCDZv05I2sdn2TsoQ + ###l7eS9bSZubvDauzxY/0VNFV3VtPEFxZq1DdaG1hXf0/taTYlkqAgPq77Aym59HN7 + ###qio/w7qrrUJqZaju6vHmjQ/cCU8DdxyLqx/Y65dJWK9fluRcrqRA0+L8G+9l9oJs + ###DNqjCd+xGqFJAOQo9rQgdPpDpComlYigit/nl91gY6chqM//FFw0HtCwOB2Nxgw2 + ###mBNNoAvgsKAABzAYpy34Z1trAH6vrrKy8BzBB4UplDTFUKQ8lQSwyzDqd2cgwpNL + ###hqZ5aGwNTT52E/wtB7mSJLGYLqoHfd6DPvTALgtvrX4kZUsfFu8d3YDptUqspM/g + ###soYwlSfL5pbRppKLvDnFT/xFNQkzrv7FIOGbkJtlcPMb+14JlUMjos7IPtcQIn8Q + ###TEb9oKQkYcWAm8GuAvgeBY2MgGEnYXUyGqEFRrStw16M7HJdldRuv7y88vcuYJf1 + ###Y8k0IJf0tbMci3UivbcpyQmaGwBxDkRNDoQ5kATlUkARdulXp/v7JWP8KjGqaIRu + ###6iDMwXqB5q7PwoYvCRV0OkAFmL5x/M37EE2uTxqfHp68btR95NMMspFiK/qzjh0x + ###6Jjep1dD9BVVvprcS1X67tGtXu5FNuKXTGRwApi6wnPVyaQzarXE18GKXEI1juT6 + ###ms2QV5MQgwKqwNjGFJD6VBRThhqDRYKyNlClEnts6j9RUtepSK6pKHprKHKUjVHR + ###xk5LmGLMr0Q6GuOrI/FMxdwU5E7VbpffqcZBSBG0UmNwSFn89JaZCgCmbC+bEleu + ###Lrq86vdKYjmgFd5iWKFkA8j6egtmqsRByHNd7rFwEIWp1a2KVdrEZran/hL6PU3/ + ###Tba9TQdRVevMTkLSJoKDofDcCuWD9kntH8QhlpQnxvDVY8n0RdNJhOlW5FmbWDHN + ###SDcoqhpwjCrssbbD0fd38VwyMoHULLEIBDAXddWcpC0hchfedcafYTIZjXlIDWt+ + ###xfUd8yzB1SvQ/K/hqGcgpOsv3P01qb5xb0lDTzTsJQqSakwcVcqRrNGl+j/GyWLi + ###/O9F0JmMDsPr2c2T2weCkX3+12w1vHX7/K/RaizP/77Fszz/W57/Lc//lud/y/O/ + ###5fnfn+D8b0iXWl7sHVye+4dH+6+e+c/9R3+Bl/1hmHj/iOxK4uMd6kWsNxt2uCwk + ###yRV+grkfYQwvbp/kl80YtUB5UZ+g/rcXafU6wfBvU5JHQ95yV8jbXh+jtNLXj6PJ + ###ew5A+B0en/zok2JGccSe3DLRHW43Fe2wEke9jO++Uy+5uxv17OD81dlVGWoSbK7S + ###7h0eeq1HeCEMZFp/iL6AuuEiLlPS3gYVvcx1OZFCcaJuY8JfoPUHbJVdO8y59HVH + ###QfHbe2QEg/avWVnsYoT2TE1+SSDfqKcgL89UqUxJe6shD79s5OHVPZAHSPMg32qm + ###IN9qamVK2lsNefhlIw+v7oE8QCqMPEi1XLahMvdkm2ou8hgFZU62gSq5bENl7sk2 + ###hZGfh22gSi7bUJl7sk1h5OdhGzXH8yWOHFSdf9CWpXMQWlaT+VsnMkwt/IEWh/gT + ###N8OKhjXpwLSBLpcATBm2ENB6ObalWFSIYirsWXZ7NIFCEzDvzHccW5tGURqNigg2 + ###wTs6lzbqJp9ChxycahAInhI8UBWdpktYBdYQVvu0KW7olbnB7e+swPO/hlFNtfvY + ###3e53vF1hcQLc/BegTvzAqNKqqPJDRru/ZeKrt7v3o91ugZEl3tDnSRkaMEYW3103 + ###6vOMbBGpLyeWPodbTXMWI2jmmMnOwW01+eDCvyax5HN6WnSYHUOBrT/Oa90a7FZT + ###DTZUWxWV0wYbIfxWEH8dghh2DYIYJzQmI4kAK/iKq6RGT3zwZsZt2HnPDQAfQxYF + ###MLJ0O1xYFTqjyQSNDKAGYgRQ4Xtln0JI1jKZK0YPtDX8iEgIQzjy13X8c5eV7Drw + ###pcFIOrHffjOIpYjmggbkzoW2bUGDOho0aVm2LegU04nIgzrwcDRlw7ATRhGaH9II + ###IhDUqC/N1jnzSC35+QrIt1lFuLLwVVaR6oKriNIs8vUcKeiyl5EEjZwLiZLM1Xuu + ###I/KxRQFT6wkB+JfeugkrbVmp5i8rVqtUgWU2H68u1fuuLtUFVxeljuUrh19jdak+ + ###yNoyBxuINYfA/ssNMw2XtEWomr8IpUKiqqwgyHhVqsarkmtZqi6Xpd9xWarOtSy9 + ###eHWaI2zx1uH8yroVC4jv1lpNJRBwu9bAoKBQX72EUtqiBSzGi+hvVHG9+3oBsdnj + ###rZW3NKJyDhRBPdHHq4dBzcybma79HxCAXAxddJqZhKLfJf1LTK6Zk14zi2BO0iT7 + ###OjM6a7zTaTZTRHsYSpzu5THL6V4Osxi/O5nME9NilRbzFSxfaPRtHlq1ecjiqo4k + ###0P2Ik8omJoWKcYn5olOUbf4TSIVuZG/285Q8KrS46OEkQfWGxHGrrHcElV1dO74W + ###dgRSpWg9xDXwGJ7camXRfDFqZ0g3iYbeXCYR8Y54LhHpIvkDT0ndCkXt6QPGW+zo + ###CqBOlOJ1nXbqzBpFiAa1ropw3tUDc951/Cudz+JC9+aqtKbyOCqfOFjo6wj5kk4l + ###6ENH6wMR7dpFNKOY+HdR0VdyCL/U5nP4LE2xUnsaLGMYvJPbGafRW1OjSGNCrW8F + ###S8dGIlQBv7MdDg2NESshDXgjawTMUkmxoSC3oWuroUBvyKIToviFzigxWSKuHuiQ + ###MQzDrog3qXkZ4zpic+d+EXm3/+DyzloXnYtHxipBS+aDr8VGwxYrFiHwlZPARab/ + ###/leb/tnrrDEXH46g2vxelJhXTmJeFSHm1dciZpooXZRwqaK52KL7psii+2aRRbfC + ###pndjj/5bT9t1KvLEnspcfSAgZK3iVbEpWYa7KvuX56/ODoWigYZMVbAuC1JgHmqJ + + + +Valin, et al. Expires May 3, 2012 [Page 286] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###qpddd850ivK6JpVZcq9rtiYwMwbb0sViOqRcX3MXdSlaxnfNJ5gWHI06aJHTVjON + ###njqxUilh7dYf5bMSaB/5rISFHmJaEQVi+hvM80bXPTO1Y6zptqy6fTFUnYQBVQmk + ###F7PBtD8efK4Gnc7sbkbh68nbJ+ImtgCdHeMtmfTe7HKvSFbqh5SvmGNCbpdddJ8m + ###/5+yJsviPevoQ2/wUbkdma9LctSJGpTjID6aLcnlET+Vy2bLfL12Na5/yW4/bdHg + ###Nu3MlVniVETGn+JQZBc63StWCNSY9GKa+9TB6T+9VuGijTp5WGmzhW4+5UwWKlNM + ###7JpqH3z6Tlxa1XgUpdgat1x9cSDjp55/Gfj4mg/O4iglPm7HJlyvRcbftJK7ZsmT + ###s8xu5nHP3tVmLl/Q0WB+IRjPnEIX5+1iBVHkiMK56Gll89HUCs+FBW5jLA7ml/U2 + ###U3hm0yhUil+bfk+Ua86S75sJrQlvPmlZ6QybBb6mK9ougwZ93Gabi+zVywpqvhol + ###79vmHCCra7nah3x6SEe2ByTIYtaL+SmSK+JksXTPOBdFHIr1fSlSeB94T4rkHqfK + ###YinudgY95u4l4GzKSo1sTnTF8l9kEIU+UGgg0xBn2qNJbp57zm3Ezu9CkQMirahp + ###/c/mxRRb/6LM+KD8dllEPl/OIZ+d3Sgkd9VQwbbUPVSXxQTo5VwCdH6EbVNsLsa5 + ###Au5yLgE3P8a2mSkX41wBdJktgLDYfTDeYa3GnCgXmsGXc8/gBVCfg9qoPHGpUsDv + ###VgQ+SOWR67mWxHmXBeiXVzYFGBqVbFkzj10qabDXRFdSdjHrAdkfI44CP5W4hdya + ###87WMJYHTCFxo8lnFnRNwVojS9oq6AKnr/3mkviwqKC7/kIJCCsEHIq5qbg7ist0c + ###4hYSFPmr9ZLAaQQuLCjyVurfV1D8cUmNjrYFFz296B+Il6v3lcTVryqJkWoFhYVe + ###9I9G4PtwsIPAD8jB+qldoX2TOOBb2DjkIKluZgB88ezlLph0RvzaMz+D4demb4Nh + ###dxACVXnNUY/9Gk5GRgCfjM0YnjbRa6Cxx/7OSrRX8OhcJGCP8a8f8KgE34oGqvAS + ###v3vcmWUB+4Bx6AIvPJweeutlmztyDQh8CAruGmXhlL1jyojJ+6K/w4jpBrGHGrHk + ###kSCHfB2xfsTjhgDGvcEowBh7g2hUYRF0ZhRG8rL+kydPeKBvfTigfs6cgRLGVHHs + ###cwM6hYmvnRgYo+sb+uEDwRn1HztchX8sw9wa28fQApOwNxtU4s5NRNTwj5PR8IZ9 + ###vA2HIp5g+MsMo7RMR+rg5scf8eDm0Rf7TAGa4QyRw22qnMFo+f2t3avfKw/Ub4dk + ###FB3KXXdUuXsNNDJKUE5M+IPnRwf/8I9P8oyGcTnzyg/LO8iJzYzloJj3QWAe7vGD + ###+QzMcy2IWsls5JOnLvrp9FdCP3f8tZLZ6Cet0vpJ+/3Rt85V1ZnhGV8H8MJFo+4n + ###zxhdBb2Wn39yedcf5hYJPuUVwSiRj0jq8JwM/B+c2la0Fpyjv3cwtf/Ah3hIj/9H + ###UVejB4v9hw/Ks4z8Xxvexoad/7fV8Jbx/77Fs4z/t4z/t4z/t4z/t4z/t4z/92eJ + ###/9c+Of2Hf4Xs0cYEYMJT1nyr5f7i3ykvmHrHk0dFlBJMpBXz/c54MIvwf48wLiBs + ###274/+P7Rv1U2MdBZj0Roe1gPUHpyXYuVSApiNGqS2Z+nYcTD3uOlfvIgFu0l8rRw + ###HfkGVhQRVr3B3r1lZ/4p0Pm07b98tgeDs8Y22buE6S/xAHr1Zj4wyoOig8RI24dH + ###p1d7PkLzX76CKc+qDLbNydeUD2yLA2t65KGYDW3cn3Zu/UFwI4CRWz+7OLk6eO4f + ###ta8oz8zp3jP/RRtAaq8BonhdBoAADS8E5HWNA+MdFOC8IpRL0BHrFYSGSxXoCHL4 + ###mvPCQ2iNAsNmQjvbFwC9+TqI0Ly5++bV/LtIAqwXB0jQCo+bCU31sFEUHkKD0gV4 + ###cjaIwsiHFd+/How67wWgM/8SVnIx9XAaIm9evDrFJX+VJboN4LzNWoHO2dD2YWGg + ###tBwmQMpSkAoUobXqBTqHgUT8QfghHERqyr1zwsqiKo3cZn7ndGiqX3MDjKHlgLsL + ###Pkl6kuh9y+aeb5JRmgXARbfhYOCj7s/B1YD91+fgfwUOa+XS0obmfVNo9W8KrfFN + ###ofmjXi8Kp5E1u4rMgY0CbDKIruOpNjc36uBYkRmOFjUBr7k4QATXLAJuNuzj9rMx + ###rzh29K6RP3QCWlN28B7QCiyqAtq6gLZ+D2jrhaG1BLTWPaC1CkPbFNAKqZAp0IqI + ###ZkqZcvTjlQC3cQ9wRebc6dUFLamUN2ph1izAlSt66lmEqjRnTCUEIgUUFXx9sP+P + ###dg78haGJlXU+gFnQ+GmLBeWu3+2CrAw+3PiY6MZrbrlrYi7LBJ4ffiHs/Jcb81BE + ###4Om1UlQNAU2HgrusuaieRpV8Bos6AdDj/mIvRRBZg9BGaEKvQeovADMWDTmdwzS5 + ###YlH0X+8dLihsi0pZHdpwpAGca/XKXB91WkbwMRz5lISNUqkBNUHfaF8dXR6d830s + ###mgn89sk/j9IRoH1ZEV1Dg/bzCD7Ivs21mNCes8ASIqCNhoPPXL+BSTs/MYuoGuYM + ###37+89Huwi4/8OIlaYYCkSNWKriHwO5yMRwOyP/u9AJPIzbU+x8uxCS4GEScPN969 + ###2V9winu1ZnIjmAsORNiL+SECuI06X5Dhz4t+2AmrH/sRnpAMwwBt9OMxHftiEtDr + ###/pQS/fWH7P31mBwjhOUKHSX608902X2ftc8uU2UUTAKO91UwuQmnmLFQCKmz/beM + ###Xe1dPju64ps9mlX/zNeq0+ZVJrQX3xTam68ATUkoILeS8yqx8z2gISe81DMFi/1O + ###PiZ6Lf+c1+I5UGkTX3CKa0oi5mPXJzAbo0yMRKrJAab27YzCXq/f6Yf4ng51xHna + ###dTDsfux38UBpEgwj7mcW3Y344VP+GKpK/umFv++/rG++ZVeXe2ftE7S4+ycg989e + ###vcB+aW/P9s0+Yl9aKWaddGh7RaHtpUGjXDUwZXnSVDIod0YR2rUp+muBsQSxcjCK + + + +Valin, et al. Expires May 3, 2012 [Page 287] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###roJrH2MgvPRgR0+S5rwt2Anf52570Yq8vinz09h28S/KGC7+/b2Pv//0T8L/4+Ds + ###2ZPOw8LI8/9oNpqW/0d9Y3196f/xLZ6l/8fS/2Pp/7H0/1j6fyz9P/4E/h+okD7f + ###e30Eau3Z8ckzdP9QPh0gNXr9G/LzkEqq+nYHQpucPUC/fRYOQ9wWRyz81BGrCm1Q + ###QHVipxcHLPo8BLkU9UnpNt3DP4z6XeEYfvbMh/ol2wnc/cBS2e/Cnps2V+8qUtU+ + ###x38RrPzO8HQH/oFiznbEzZpceICZfz3r6eAQ3gn+ewlCHXYaUXA3Ru8VKNYDQe2G + ###WBTeM7Qgv8TEPMZW4kR+Q8EdjMeDzyn1U+CllhuEw5vpbcV4J+Gd0rccQG54qf1b + ###ge1e149CWFsMeGswgu2QL0wTTlc6kmA3nMmAq2x45UeJiwPY7pbd8X6F9bufKjSU + ###d0H0XoRelD/ZDjKOv//q2H+x1/4HetLwJj7e9gdhKS63K4hlRC3WWtFuk8W1KsyL + ###4xbzqwvYyx2NEPwrzJsS68OH2hb8sy1gwd+rq2aYZF6dA9vDGKL0RsDABzqLlyZi + ###EpRLJm5YoYI+TpitRXVAa8G4XYHN7WoB8JwFtpNE1Msbsxa6985AEEN6cnuOnklK + ###hMPUJyCBglkoJwmzYkJrzLUjeAGIboqaS9C1p6X4Ekk3RJ104qN4CjX+GkeHYSeF + ###iTWePeTVmVXd+Th4FpmT7JjRNBxDl9bFz6DTwV+CVY0ScvBVTEN1R4uHH6wwQr26 + ###CxLYH00QudWYCfXWidmczGe3kGRDo53VHRPFeOBFQxFuppH60d30lhtuoZjkBLPH + ###8XA6K6uxV8jrxXQGaHgbrfWNlrz082rcpbUKV4kwmvZRCa+QJo/ytB9GpEPjV7oI + ###Nw4678Mp+xjABmAUTfnwGaxUlIlM4foATJQAS2r+aGCCPZhOBm7QNlirehZY3Vhm + ###P70J7D/UIpkOts1X5kJPgWVskLNKWasZbI+UjpAFNjFTaSH5ucJgQ92bbCVWntmd + ###/7KFe6xPikW3bJLtcWsi+WrC1Dq/hJ0Je5doi3i9f8NFHhY+vtx7gS5gZ8+unsNk + ###dtZXAk4ckQATIC/vsMfa/NBSa4m3vch///xXvHJJ5dULK9EWSU3Bn3a6qFiq8kZV + ###yGV8zFZ3TLD6ZNdwgvkWHQynPFHa48fy9XgSfuC8c4XbX/h69dPFkX927r8+hz2E + ###D5r8yWtUnC3c+cSnmT0OkEdh800aqV6oTeZx3MkDg4A8+lvE9I7OLyC1zqcIvlUr + ###arjWTbNgNbuhCjEMvWq/uHrOF8ZYBH/Ru3ncF5YL4mI0JyjDw23/BnT1KUMfBr3r + ###OkfHQpdGH9uQP4wvKeQaXvt89jippTgAJVd1F2HiGUqLE2HXRMSu7MA0ta2tRE2r + ###J32zxBc3LTW+0vY/YhdAZNW3RXiMyA0pkvL2PLoL7+5GH0DjfKwNt6H+yJmMLfhC + ###7r2rMHfxCivZdCf3UYxd7WpohRzvRz0zy2ZC6wMsO+PPJZO7DbBS4OBLQpvDdkN9 + ###V5kTmeSkJY6NCszWbPaz55jiJOc8dfJocqLG2zl8RRcA0ueo2CBAx/a63YQm0heK + ###COyEurMJSqrDqx9lrx3SE/unE0vu1m2GdYlz3I/ry5C96KTzXDoB5E5Tcnesqlmj + ###ejAafoCNBeGJUg23hOLIE622sNIMU1DH0vW9El9nk7hIqenQkC0UDFpxS0KFXX/W + ###DBocIRwFxzSmCaKRz0QF2+CaYsVayvOnYNFdoujHRTCZ9oPB4DObDUHDGwCxNXQJ + ###ZdJb7AQW8kloIjGuqwC/yvAQtCL1mhpMgfJWZvOUOEwpS/nN17XmvYdvvqE1X3/4 + ###5pta842Hb35da7758M23tObXH775Da351sM3v6k1v/HwzT/Vmt988OZB4sbNP002 + ###T2LgZ2jeAznws1Mf/dkhER4As5/5FRSF3M9J5L48ssWQ0JRI5kW2BMoB+U5LfiKj + ###zebWqagONQ3RTrSjbardsjA9xR8ryehQMZlaplT+4l4B0oT+YwP9WBGaZzFIJPiV + ###kMU+zA255lj6Vlg2oEdf/hTOKQn/DxigO9QWHtAJJNv/o9Zq1Ft2/I+NZfyPb/Ms + ###/T+W/h9L/4+l/8fS/2Pp/7H0/7D8P9AkNQbh8IlOzdAicocnYb3ZsCMNMVp9kUEO + ###3aSlq0gPhMRw2ivBMvi3v4LI+luFTUazYbfk1TDWBiu99diTNVbyQH8PP41L1ZL3 + ###w3q5jPke39GOw/xYo49lDHMZe5YkHMxJgzt9deVHg9E45Np2i9R+rjbXGxvQ/nqj + ###wjbgfw1QjtFqtPHoy1Ymyo36RmsDcE5DqhhO41HELfg6Rl6rsdmsAGJP19fhn83N + ###FkAHbdBD/Orexib+s97cXAzFOTEchjepGG5uIqkaT2stpOA6vFnffAoYe08RtUfq + ###0ExetCZNusRyD/PQWLhuvZMHePd5nEfvw652HsYhb1tJqQH2WXgDhPoQitCo2u6V + ###V9lhVfpDc8BQze3u4DVCRvspcysu4pnW9PjAB4P+WG8/sccT5U75DSXjghcu+4PR + ###6D2bjcXVB2ubjQc/lo8K4QgjZ2/gZczMJCdgIzgflbFwf7/knGZUsCKogMnVvWPX + ###ljnRQ7RZjvA6iJPexelKE0CnbeePSlslBzhtVx+Otuj38Hvvqv5znsT+n3LXPuwN + ###kJz7H+vNjbq9/8crIcv9/zd4lvv/5f5/uf9f7v+X+//l/n+5/0+9/8G1IiMEqL3d + ###h9ZFDNGTA//q/CC+AP3m5KxR5wVKPJhot8RfltlvvzH91cFRuRzD2AYZ2x19jJ7c + ###7go9fUqiFjrzF9Ljpe4++4Ti7EXQwS+qdvQ5WsMKUF11aTZEvw4QcQPMfUFK97Nw + ###+hzE/2UYjQYkf6+gTgl9fsvijgk2gvIdRChC+Lf017kUiTQCXqIDm/ApXwnu+p3J + ###KCJPcrFpEIlgJgoKevaMYadBi1M3HAOCsGxoxUF+Y5np5zEs6+jM4T1p1QEHvQ1Z + ###/BSDH+Cl+aNnwOSD8UU4wXaDYSc8QKy2nKWOJ+Evs3DY+cw/v5yFk892zXBSepxs + + + +Valin, et al. Expires May 3, 2012 [Page 288] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###r+yuoRrEOuqHlbzEGIJyqeRxPXillATz5OUs6KI3SxmGQkc4/rBFl+rTmMEc7gVH + ###WrjW4rcPwYBNP/D+3IRTfDXqdQPo7/RDhZlZS0ql6Ycn0w8+NiX6WF4V77D9ssCd + ###M6ZpGeExEpDZfUJyEnFPy9RSwEDTW78znfByndtg4iw3DW6it9xr6tULmKqwSLXx + ###+sA710v/au8Z+h+/25JzmU9lk4+01nEvMXU2v8UHyTX/ilQlGqm6RAWtbmeYVlPL + ###OGIR4q4/nLtONLubH07wae46NJgptcyRiG8mUM128CEs0div9PqD0EfVUBrA0Izi + ###YCtMfFamAv/WLFxT9j42LByfgCKx0hvHb3IESRGJBDuj5Mv6loFDNxwgO3/aOOZP + ###/LU7mqFBJvhww30+4I8t3Zokb3pQEvbbMOiSJg9SFJX2cQxVyuykH+l77m33HpNs + ###w8yFvxyeNXNITM+yCM1RtW5VdZRQ8pBVd1zEVt/NlpAnSkDpsqvJ09FHanGbxqGc + ###cCnio5NR0+UpM9eKIQaTzN246s0G00i4hZp+1JwDcMSe1HpbqQOZZH/3sKKikpiO + ###79/RzYQ05yqEv7rDSl7YYiu20IC6a7bAeo8WVaBh2spmtsJr5Duo98bQ3d4ItImS + ###kgAV9v3H73VvUnF+0BvDF7sv9gNyUv2NfcTnr3+NPwef+B80kf53+L3ttfoNyG/0 + ###56/V+mb0fSWx5r1/Z/urcVNwBjAvFxgDaBsPBK2eDw3BtR4IXKMAOIS3Pg+8/Bax + ###yWaxJo1ffHo/3OyyHCsNDtp8Uu8BhgIYJyBeMmk1S5YCIaGg6peloqbD8uoAjP21 + ###xUHSegbLzZMaAMYurynZ4pAG+Q0X6AWoJw/Qi1oXpn4lE8Uvi8ofvpMaDbuRJV46 + ###A/gArWgui1zJ/J20oiJL1TeRz/T+IQSzqrEU0EsBnS2gzTHuMrMFLiwzZUgPq5S4 + ###Yl92SXjHtwJyMIEJCbz/FGmmBwukq2+agU0GGeQvKQ/kIy6UxC3x69kNbKtHk9Dv + ###jd8ytZ1sX51fHtF2Eu9EKncNvTzJDG5JsGATGIL8e5/cPczjOP+lwMAdIMNDnQJn + ###n//W12tezTr/ba63Wsvz32/xLM9/l+e/y/Pf5fnv8vx3ef67PP8tEv/vHhjQLX+Q + ###JSKA0RMmDMEoqz+EKJTO2i8ZbI4nXHqeXl2wVQopSJXvATm2CGj63X90JCf894Ej + ###OX36JSOME4sDLnKwXVwKwk5OoEAB1nQ3N4vwjHSOkEfvzN5eYDkZ4DHnyYrk9L7C + ###BgEdFlQYnTr6FCcwwoQ4GNCCfrlyaUCtioCPoYgScZ5WRACKlX1MQAP/jj/9Im5M + ###+9O7cU4EKGgAUXDRIRl2CnGl+COYELRABcr3hDlWCDHEQfyqqbB6NfQt/sBzGVHk + ###jvhXAzpFfwXdn/k3FcWjIpIlYAMJqCsEBLOXjqcTpIeIDVOhL5GzjnjPyQBrRz4p + ###oDOU78dZwRE2K55+MpShFoLJ12mA8bFq6iZ53FHp9Z2e/kG0SFlsw+hJzDRsd5cn + ###qrRKUKYd3gQVe5eM2SWLImvyJBEHo7Dnv6zjESXb3mb1ZKi+JAdj9ICUu+TpNWrS + ###JiF9U7gIcMST0SPxWXi3U4NeyuhgeAvfT4ttYgR5jMNgGvFklEixQhFpt/5lLAHz + ###2ruUQRQBwDOCXmojYLS3a90ZSYNb3WE8aRLl8vT3Dv/nVfsqZv14JHIh2rdU0iCu + ###FoCYSSpowJ7VaUX/ZV2A0ARDwzOCMCTGb+/wsFH3Rx96g48lrZo2FGWb7XCTzUMM + ###6yHpjOgLUh7EAabEC5TtxYMtUMNSXsW8LF5wvEC8867twNLJX+mLSFxrMB0jfpK1 + ###ZW9OR6MxOSio4GDKDcG20CdCWdnnplKeQhVDsuJDK5AZGe0CBDOXHhjN472QSmY0 + ###JCgzGAVdojcmnZE5ZzAU8WQCm0pMLzMNOu+fsGewa4S94l0wGBjeFXZQOWOk1MJY + ###iSM3JYJU2OPjWTE4aKmVP2TUQ95HGArRxSZ2cYUWQWPp5Sgp0cySMktf7VUVuWAK + ###mAb/u6OEvUexYoT+MpYZ0cbJGWxo2kcwKT4Ek5eZbSGbZjd21x+WrAXdDBibiL8V + ###DDqzAU4rCjgNS/0smqIlg/EkYvo46soALii4+sjAl4RQz4TNA02mLLK2SLMa18Pe + ###crqYvUprF+R4KxEFBs3YmCiQRbejyZTBUneXDG+pJqC2RBlywx14i7hJaSPakiNj + ###GpsqlFk09Wzlixn6LqAbcryXiZmlQjO7dBhZMnUcdox6JnPs0QYquJ7MxlM9vRTF + ###N4RvHRDrF6cHKBtmQ/F7iFJgwDd7VsQ0R9y63ICfFO3zEMq51j+HovWdXY8EKY7j + ###2T7qiceXa3UzWp6io4ynI/R40Fdj0ZEvkvDZ5yOrqq3ViR3oCAXTS6FlBaRF7Ul9 + ###Hfg0Ga1I64fRja1k57mAoBzwpyQdtHUnuAEh/mHLxUz84DuNyo6gcq/5qFrzhOuH + ###bkSSc+8yrH687U/DocUPEqH3PPjrb78x8Xcdxy1NLy07pyCB4VC4eXUYfmR7tIIl + ###glARqeUWMG29ZlXqZTW5PFU1vlhj9a1k2/qsjAHtarsKJwmSF1yNFuUKKkNujmbT + ###/VnvbQr6sFzgPrReOACoi6Hx+ZLEmKvUQJAAGOlz1I98HiERcOOb2bjT7yoJfOOP + ###q7RAuyOFOulgagyJAdP29ZlBHzWm2evxUJMxg6JxHU1QfIHoRyDaKKdtYhLQ2Gm7 + ###ZXuv4VqWUsc+qeNrSB6OCKPu6COhQliOAGk60qApUhVxQ+WNgs5nF7Z5GBthIU1D + ###gKlh+TzLLyphZeQxJ9vYbxLhLGF6rerCMn2BxSe2fhjqdpXH0LPW3QT+nC/TGEc2 + ###kduPVIeKOPBdzDsU0JXUqs5tMLxJRsOj8eiZKgKuYEKzSiXFPSk5NzUdWkxObQch + ###k8R0kDdFATodDW+qpLahbanf0W0PkohzLWvtcDob8zSb4cQeFt1+hbuL1N5adMfV + ###wA44nWL00IVd+mAhU8lQrgPcNjr4R7fxpUV2TXbrLWMUdVJoLI5grult8yCSpm3R + + + +Valin, et al. Expires May 3, 2012 [Page 289] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###bLvqaW2nsMPCbde1th1hXO/VdkNr2xHD9V5tN7W2HQFc7RFaXXUvWCpaMW7Q3ZGd + ###teaihCWM7C8lZeRID39pdqZpBeTWMMoM+IlPyvxJGOcMfK2ds9GWaAFJpH/TpIdL + ###TGvGkrFh0eF1Y5+sRadsoRjMuhU+e76aNu6MYMz8mMExh92wBK8apwE5sOoWLMec + ###fjBYDQuWY44/GKymBcsx5x8M1roFyyEDHgxWy4LliOj8YLA2LFiO8M4PBmvTguWI + ###9fxgsJ5asByBnx8KlhYBmsN62CjQD4WmGQ6aY1ooJDRmONAUN9i7ZC9eWWgkVg1j + ###VTNXEKPjZVd8aGUZJJvBM8u8hs/40y8Fk5hZ0aN17TmzQ/FZLOK4aYd30vVgucUA + ###6okkCe4sPcljkccxCimZOebNTqCOSVZ3nEvkI42C/I+sgvFpDxk7s097nGc8cV+L + ###9uTPEet6+SSflPhftw8JI9v/u1FvNBPxv5vN2tL/+1s8S//vpf/30v976f+99P9e + ###+n//Cfy/hxSQK77J5z/3H/2FB+CyX1vhu1Spg8srv32EI4w5OA+PYPIcwBRG1dxz + ###eI5PQWZBVSN22HY07fZHIqoXqfp0TRpliTgY1otiujVZForCC1D9K/Tv3VhegkRM + ###me93xoNZhP97FH4CYTtk3x98/+jfKdG/MsJBbbnjQaEH+13wPtTvQsahu0Ded0Z3 + ###Y+jK5G8Ri69K4h1NEeRMUhP7IunLb27KPZKkswYB6EpfDCdBV7maKMc7K+iFDmaT + ###2UBf8cROCvGqyWKqQRjUvTZM0Ku2LDYjrtGvmeYhSgjE+Lpx1aLMH+P5CazSQGc6 + ###0uSX8JF0ek1575Vh7ZSAcw8YYW48CW7uAgarH54Gl3CJpijQP7Dm06d4JKe4N5qO + ###xqBrTDuUSRZojOsksSnyDqBXKt8jZF2+iko3KzjiMjZ/ROSEhR1mlphTBdsJPwV3 + ###40H4A1v04c3c++HNIPFgB1/OL5/ZTHeEdoBSf+h/wPscZCarsACdQsoUL3xtDcqQ + ###sUF6MjixOX8QbO798GZQHcWYVpZOin57oPD18KZN+ImL1BI5auEtnnKimQfCxoq3 + ###8b38DeAPg2nwZPpp+n15K7eZB8JGhuBA1XU4+khbqSRC2c0UiiOyJRaFT2w4u7uG + ###GQiKuJBfwG4gNDAvMK4OgxHfnEVlXbA5grwlcVmvSRgDlc2cNgUYmEGKmCdPyhVi + ###UPgjB4KM6xdDaIBAFStmXiDCrdyCKhahKvq1whGK1VRAuUdYQtHCfaIT2k0UD1Io + ###aprxAAuFHcyrmR58MLdmanjEvJqZwQuBjUERPgO1+Qe+Lq7hgt4JhuwuDKIZTNbR + ###EI9Mx7hTrT3xmIiVwYKpjLLKFSqHZortIYec7b0A7fzfhYTF/3KTMs+JwrOD9Hng + ###i4VqnxxiXhCvUGVRm7tK96fS9avow2sX62VabYJPUY0Wr03kKthju/YcAeIctQk+ + ###uvvQRqBkS5X37yrsLzE/SM86qwF8aNQK0iBZ+3oSBkUJaNb+UqySo/a8Nc3aqCVj + ###n5FV55so8iGKuUarUO1kxdXVLAKm1uai5uTwnYlNvP44apNanmAWaEPnlq182CjO + ###OeQMWZFaG0X64rVROIvan45lbNTitWFRmAP24ry2SM24tmtAs/lEr50aXjWxqAMp + ###jPGWQeSWy8r8z/+FZWWBJWW5pizXlOWa8n9+TXEtHdBjtxk5saZIw7hz63I+/xpj + ###4pabAKJYDxdcsVJboUk9Xxv3XcHMVhZdycxWCJ8FVjRXK/OvbMlWFlnhkq0QPgus + ###dslW8JlnxXPjgs88K5+7lftJiPu0ELdynxbiVubKx5LaSkZWFYxN4RJqcZRsps3G + ###rPwsIksCT3KCdzbduOCT2cwuRhBOl4BxK8lVs4gcz2hFrp6rrpQGBkESreAcyuyU + ###a6Us261Y+MQragF0iuOy7Vrzc3FRukFhXB5mBrjW62q1uHhw7ObuvdKaNmJY1hG/ + ###OSTWcqXNaoXwWa60y5W2YCsPI2fELC6izBdoJWVVzaV1vNLKlvJW1fRW8FHN5Kyq + ###2a18zZW2mPQ0VzfVqYxVNbsVC594pS2AjhuXrFV1PlzUSlsYl4eZARYec6+2xh6X + ###HF1c0erRE4Ovw3cBBsJnQcTCu/H0M+NuXobPj2F4dS/g5iF3fEiPYfBFiazg+Xb0 + ###/ELO4ORegK5qIesG00Al+UB/G7o8cFPY30a2diRdbrjzHQXo99EZsjQNoym2/mTc + ###uauwx5cnZ29rGKGuVVsRd1nii0hlkFLkDWcf/GsB/3MfkDfyhHf+XAKaY0CiWoen + ###oSRvryDCC0sfMYRYD52nJjLaBhFUY4EEPZgaWe4t6l9cXVbYmb//09VR21yEDQ1J + ###BQGVylaFdYZFtC6jFU4RzPlSaE7YraCNVOlZ8yqf7OF1G04B90jlyXhLatgMgk2/ + ###U5lu/qKN2vcfr2M3oIeUYD2ak6WSZItyhZUEY8CfXiUD0TLf534h7jzgHlV98jlA + ###pgT5gXyKzlOlcsIpUWfRg9Pz9pGPnW3njS7HOWbLxdRd0XPrmnrK3JM31VNaoZZ4 + ###EhI3qXiYshxc7j+WfBQoUQp6fyRcmZ4dXaFPiUjbyp8pV95KsVNKWRROUefsRSpO + ###azLXEpWQT1niqVyIcRILVoyay83ZlSTGdOTGqr/3Las/7pO4/6f81R8ORvb9P1hx + ###mw28/9esN1tey1vH/C/wenn/71s8y/t/y/t/y/t/y/t/y/t/y/t/f677fxgX7/Do + ###OHkDUPug3eMjRQmVo4jywMi2SMuGvvqH56+A33y8DQhkOT/zj0/P967apu6eUZD0 + ###+FryAuF2bzAKpnQfKr5GVwId+NnZqwPfZ2XrWuFwqt+dMqDDN4yn5qPlBI0U+PeU + ###G4Hyu8H0lggnvvXgSSld37nB5XD/FP+Qx1BpzdCf6a0cn16JVpxuJEY14Gr/YK99 + ###dAKT96x9cnVC6X5egLA5Kn2qsM9l5uNagwcR9NOJWn4jeJYRwAZNa8ZN81ZTmJ5K + ###+v6s9mnj2HxOT3E7h1eA6v9qNSjCkL33E62dnCVb26yZj2qtSq05WmrUBV4xKhkb + + + +Valin, et al. Expires May 3, 2012 [Page 290] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###U45XwyO8duBvr7nR3Gy0mhtpbVtYNuoalmW77Sq1jc8O/C3b3nS1LcK3S7xzNtQc + ###b29d4t2ob7ScKGOzFspeS6CcNGVzlKFZgTI268R2U9odEdscXCW2G4QsYuvVnbhu + ###ClQ1XDcJVafNneO6wSSuXn0zaSidaRwRe8BRZRiauiBfs/60+bS1UX+6nkBrpg17 + ###7ZNkw2QZOXwciMIQiNkSQFrr6w13+3KMePvJ75uKM2K+4CTdFG3X190tS4piyxZl + ###ri5fHcnGPPPT8d5pW36rke2EB7smbVncfJYXcoWwwmOs7/RXsK5qr0pSsJeNt/Gl + ###ZLy9y/TFh0OEl0ytA53JtHt9o98v55WPhP2OGaJOxOcGteAQ2ceXZekFFNZvMyNo + ###hHx0htqVKArLRNuAL6+32y8H/Wt6awj5YBoMSiBMUSwbLyqwyJE9yce/TkEJAqrE + ###V98EnR75fjDl2n7o+6US7ArC6WwyLCuBrJwEBgiU7jTqkHhqLn6tkaDqL/DsoUIG + ###fawsUmqJjMewyZzChgFqfH+MLaFxG+3/waDM4PWItkR/hQ0Iwf1r9wf4QXmVeaP4 + ###lm7x80hisBeDQaBYXFnj82/kqO/4D/il9eN7xXqsFwAEgPc9+wsV3PqCjYoBTG1b + ###G2rdorY0nv1ffhL2v2AYUAx7/zoYvve9h8gBnW3/q200W00r/td6Yxn/69s8S/vf + ###0v63tP8t7X9L+9/S/vcnsP8tmv+53b+5mIw6mLtKpIFmmFtP5QRE56d69RoFpAhH + ###jOoT/AeFDmrk/Uk0rfL8O8FgMAa9WxSkfaLlpQM74T2/d+35dYxSvd542qQ0KFvp + ###5Twym8DuvEaRu3QLRqlea9Ub1EBZnvC3x4P+VOQJwd0NLJIfR5iprI8yuovIdyMR + ###jCoH9ThGjKU58uzSZuJjM+vySn+YSLcskx2fDMczheHbs3e5lhO93TVmeJfApjtZ + ###pp3M9CyzWbcp3PKHkLL+va3PCdsA7UozvQLLyKkFXaaWPh19JOJDl9fmA1wY9PMU + ###0OgnsihsZ5Zrk+xnjmpysM9U5KA+H3ZyB4wcNZygHZmu4XlfYWcqr5NMT3lWYZ4M + ###3W3i2R9icqQfKwykIFDJ9/g/9S0VSO5E7O7ZhwC0mGtEEKnFg3OjigAaEEYBp+sh + ###07RMpmf1ZPJSkiaYAZ70VWxDz+gzTKan0o2q/SHPgv0+Tt2rNwz6dpXmbBTymPMo + ###qsIP4dCgtQ7wJ/6PDI//ah/jyXPytBPJNX40C4tY+j8RGZVs0soTaVV5EayeNwvU + ###10sKWGZJMUqJ3J0PQL1VHtG/IAVH3a5BwArxQtAlFRM6iV+AnzGXY380i+sWprOX + ###TWeeJiUmcs0mct1BZM9FZK8okfe63TXYVk0nQWdKVjIi+XXQeY995hKHTwiMvBaT + ###QesySj6Zo1Ffo3insjMICOSob2KKYpYAzzOD8aOEWxSEGIMsEF/+j8XKd8R/x82q + ###z7NQP4T1J9f/q+F5CfuPt95Y2n++xbO0/yztP0v7z9L+s7T/LO0/S/tPqv0HL78I + ###w898QDFnMWlU7JdZMJz2f+VyUeRrR6llJv+at/3Y/GIobtz4EnbwLXM+K+PoElPx + ###HmI8aMcjjSEHozvMJRbh7T68nQZiGkQlRip1tLnm2IebD0fv7TsnTBZbI45iqggj + ###UPrjtD6YReKUuG7A0hLR7t+gj18GsLnA0pif93pROHXClmCtcvcF25vAkigTmmX0 + ###9hjLsfRyFliHnaVfYT9X0NQCSzIGFL+O/F9gZT6FdeMSVvvT8EM4OBl2w09bds1o + ###did4laeCO9v328+PTk/9/dPzg3+0cac6PI1u+71pWoFEkyu8PfRx3LJpRD4+bKXT + ###7fHPwqjjnlSCRmLiUo7ZAfaEqW/p9cxu40VmmoR+H0BjvrZ40tGsxcZ9ahx6cXB4 + ###/FZjVba7y7fsm2orzu/ndWYDxCkOuB3dhqBWXw9Gnfcq76zu38HzaJ+eP6sLGh6c + ###Hx4d+MeXey+OMKL0s6vneCkz9ZvY/OIg2xY1ndcqOSBkMxhvg7JNp0PcNplYt5YZ + ###HTNKQRc8NOaQDQdp9QJzVcRhlW+D8TgUqQGgzF3E/j+s8P75r4bJCFCTCXW/ZDFK + ###nmwWA9ae3VXfhKhgh93qBbEoZy1UoNMn+OIwBZPLkZKzIpz4xCGCzyxGFdPJvkuJ + ###xEjm+I1nJs8HqaUP1uc1/5g6AQSeOn8Lkp229/kSmUiK+fG2P8ALmjaUHZIRF69O + ###UcNGU56d/tNA2c6XjGG5MUX9x/BvsCEKBpMw6H5mN6Mpsgkgg/tNYCRsgLYcU0qE + ###AZsJ2DHhocjoIyuZ8MuJTJ6F6ZKIVKKYPmUkz/xL2EPAzHl9dNpGP8d3gEHJHqQd + ###ptJq6kk1H4zLSQR1M/j6gbm8GKdS1BmL9Ls8vEwyBgWJUaFIQeOPZSVlc93fL+GS + ###ly7gUFobMt4CrZPelZmbIN2Fd6AILAy/llEgmQLUTrL6UPyAUzhLyv2O/GBODBc3 + ###gAIDDRnlTIERaxpQbqFxcuQ01k6J0momz47kQ6oXJnRXmJEVPJk3XqVPFtmToa/p + ###CZP1lo0zFKHpeXbKY7PSap76M4iuSYhZYkk+XxJvrO4BWgTJzrus/yI9YPKe24qU + ###ysQbAgE+rP4aTkakE6DqpUTYkzwJ/tsO8QkoVuv3nUC2yinPkhChCNcZgit3QvNO + ###FU0fFJtEatccDt6ziqXP6fumxGYmJsgyh/B/6pM4/xmMbuqD/vBhTn74k+P/u+5t + ###1O38vxve0v/3mzzL85/l+c/y/Gd5/rM8/1me/yzPf+bx/90bg9j4hA6zKOhA/NT/ + ###VSqz0ocQBC6FEQOJCD8iEl18s9Mf1kG9KpXLIkmjdFvjjmQgmwK6FQj6SNQJBnQM + ###AAU1P0XeDNfQSizX57I/PB3d+C83rN3QCRMQAW9oLAZW9HGcBQBgkI60fegARGHO + ###45GVBRLb1kab39OUtkOxZUIRa201Zeg6aXGWDVbYRmy8EHChroL3mK5cb7kQqdea + ###m7YH5kU/7ITVj30YsHEwgaVxAEI+MAbZ9GTTvOYUbkQDevvi1an+U3pGCjz1QuoV + + + +Valin, et al. Expires May 3, 2012 [Page 291] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###3suuqp6UK6zqbTSxi9RTQSbbanQfzAEnHUejE4TA/VGXg6sNODS/3C3+UZ7E/o9u + ###LkcPGf4t9/5nveVR/Dev7tXWNxq4/2utbyz3f9/iWe7/lvu/5f5vuf9b7v+W+78/ + ###wf6PwuZQlDcgJXAKbgD1oMTqbRxmJo41LMK7f3/wPWx+5B7RsYDymPYUAQYkUxTc + ###hFGKa58VS/vsnCOQs/2qZbohcuhDOsMWcWhysNBIRNfccGsoPGr6EXdxgNVjMO3j + ###RTGQs+Q6U0EBGpfCZEAkrgO+uI2DzvtQNWN3FLjJPzm7eHUF/329d3pyiF0/P/bb + ###ezD7jtqyo1Wv5vH7qnjHii6jTsJfZuGw85nQwtBcuPeAfxAbr4V/PIcd9a9OiMdt + ###AHPlt19dXACPA/clH4BYJ4gXHH8KlTckP5AKKDUV1qxRx1vkPeQCcrF38I8jAHLy + ###z6M0aACkwU0IsIx26MLtOPg8GAWg48x6PSTjaMSi29FkmgLip9PzvUN//9Wxf3V+ + ###7refA4BEP5oE4nQURdyDDXtxHU4/hrBa1Wgp94BasG51YLVOGSE+NiijyMXESa91 + ###cRsab8F96mOc8HA6xbFCgB+CQR+WalTmak+ePOF381IBYYC906MfQQr4bYxyDsJF + ###A9QS7El3VI+PDlIBES9kAjo52weB6UMjLkAbBOjw6sd7QIDaiaZjCJucZvuX94AA + ###tTMgPBXEEldWQ0MeuJuF1eVs7zRDAlU9rzZ/s2J+v3qxf3SJcxx1grOj07YCBM16 + ###+RKNn4wvJNHO+T3EKClEQIuVQkvG7uLn/zAlHcWTuQ/iDpLogrHwjy9JZTj4KaZb + ###vVYTQoXPcpIq4adOGPL9Bcba/9S/m91xX7IQp2a9ya4/T8OkkEGgUgLg7KfMp47B + ###qgvZKYHeBhHsB6acgNnNZixC0Gx93mYlibgjC0pGV7MN55prx/dfmo0e9nHd//T3 + ###Lk6+3fl/09vw1u3z//WNZfz/b/Is7T9L+8/S/rO0/yztP0v7z5/A/jPX+X/8CRUi + ###fD/HfVBj09KejfG/dHUyc8uy9kjkXxL3LMVBr+a7SwlVp9pxfQd2L8NwwF+/ZaBw + ###n8PMp+yEcqsl3cAx7WA4In9sqxH+RG0qkLhY536GBxxyBNSZt4rcQRash2F0pO8y + ###3uTy7/rd7iDcevTFIM1W2ngYg9GbDTsqQndaeeV1ofKo+aK+34bdWykVVXmB9ZIO + ###uyOxXyUFIPMpcHeWikFXEYF92huaIOMwWnznCCsy7sHEjnbC7DF3XekE/YTtmNZI + ###4cthQt5RF0n0AVD3uMRRP/yzJRLaXYKyN7VQ0ZxbeDMnw/70UF6/yXzuSWa6Np1V + ###DDtrkcsMD1f8cZEZVFQnpbGQY7KvGJMcIxuVDLKvlCW+5equUVaMB136GPJLH0O2 + ###7ZQS8MW6BYIoSl8RTLmpXY2ypM4wvtv0JY0D5N0GfsUgOfj8e864y5G47+CvZBST + ###tNSva99j8PEf2cED1ExHA74SaDh01acYaHwDnz6I5cN9894BMk+SDEbR9HgQ3Ni9 + ###xH9rP4B2jSUivOLD/62Lyct6yZACBUEOw4/crq7BjQM+0nXPMOIBJ5Wk6GA60h6p + ###+qCOi2OFGGRWiAMq5ghzsEhoA0cvXQEWqZgIX3iOblQxSOLYQ2FcFKHRYDMRdm5l + ###qMl8kK5IllRs2FYwbZDxqiDDKkoLZ2ov3Rf9QWZ1w0HwucKSKzFPKZwq0jT8NUxp + ###TE73Ly/96PPd9chSBoC8MSE9f3o3xkh973gwgOO2/4/n/2Qr/Id2Qc5/gddv6/A/ + ###/CLF3OHRKWin7zIA1DkArATqTHb77xKdetH2gZO6/kuvQUgCFf7NauxLAuAK8BvB + ###9DG6nApUYArzcQSUQSFvvWdKyhdfKKitxJpgDO5tEPkR7MYzgyJY6pFgsKsQZmq/ + ###J6Ysl+ugdcjTrOIX1daUl6YhI4zVyF7DYplZ3U0qlonFDJ/kqvVkSEEwIjkxeUZs + ###6NorYS6g3MG8axHvG0kgzaHSuvLHTnrsxQjEZ3WXcX2aTSfBMOqLwC9oLQdJEwZ3 + ###P/A81nyocH6GaGuRSDKNKJldZbtylJOf7NV8tdBq7iVWc0TCKlRzEG/HcvF9gCFT + ###bNqL/PfPf0WkzcueNn0E86Gq6t9FSZw0+bgXRbM7NGPJ02pa6NDy6MnzXbtWOgdd + ###hBNxaIyJyQtVvPaj2XUPrxDXrQus3Ms3v2ueu29/MCzr3xTL5oJYNu+DZf1bYdm6 + ###D5aNh8EyCd6IyVJzXeUW+4GMQ8GsO9zx5Kd1USeRPLjlegVGNaG4OUimVZt5kLxa + ###U9/tsE1Ms2W+8uqOdy0n1RfvdvK4OKv7uuhWC3449XuRcytW0bCvGMRC3SaKCZUW + ###+YH0PKC0Q+TTJ+16h1OkAxia90jI7LVLliol1jDRhsd++y19faMC5WR4IBlCQ1QU + ###hq0npKSRMQk0NYqUIa0YWQXNEBlZ7Udt0KOy2qUC7vY648/OlfiJVBmFjldJFKq5 + ###ChnmGeurL4yL8+FBI78/67kRiL8KyBllysa1ENfA07OTylxbzooxV+QoGm7utebG + ###bnIz4KF/GbBjRq1tckpL6F0780kALjVKVDWpiMmdOwqm49O9Z9Ln7PS8fYVzaQFF + ###DZSh48xtt6HQixrCoPN675D1AB1+Poj7OfqpF34APdAO71JgwUtGf5GPozL0wqde + ###WOGZQFvHG3fjkm5I8MpZ0trROu1yiSrFG/7ioLWibvTA5DWkWlYHIkO8ZZY05Yvk + ###3kzquAYrpVJSvdlxhP0qMiaRzDTgUDVTNR58NNtFbqC/GBoFvOERbIp0q4oGBYqP + ###k9RnDAZ4qMlRkGT9OG+AvDio0aMC38vscRrCycA+X1Im1Jc4MJwh+3aE7OMmHv/s + ###/PLF3mmiP3TwcDMbBBMV1+cHFr3vj9HTjs8mMv1ZO70cetbmoucDzE6dAgWGJWtU + ###1X5aD75pBKdyxIxKVEZDxQGRUwvc58K2mPY3TN+m6w8P0qYOMSnc7QSzoeuzTbPF + ###pQWnyiCn5+LyIril4HfX75Kd1MTxscOCmoNrcsbkf+FmrNiDByguArL1tdQk3GwX + + + +Valin, et al. Expires May 3, 2012 [Page 292] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###fAj6Awpr6LB66ATrU8S0pJqRZMQqNyTlEC5mJZgiNJcxG+0JejnsnZ7+lE6VTNGc + ###3vrJ2eHRxdEZun5ktp76RQ+kJeI4p+zC9CHvV/Aiu4ZOxng74jk7Y3U5RkAg9EQL + ###3JVNn/QmEvG+HGXNIK33l/X8v9KS+gyWvxdt5FTAaEoJlTFUaWHDKIkXO/ofy1tD + ###fvvNQC99zaHlw61v6xMhXx1/p/axCrIrOuXigg/VeyCfWu/kEQ4D2VOl0LikfdFf + ###fYxW0Q2rAu2/RZpKD1uBXoCTzpIRSNfctTlJKc/UuwsSCmWxNUYLjZMt6ucAXzag + ###p9iFHmghSBVz7lO4tI2JsxlbNamnqx/GEdeQdL8smwmVScXFmufcNwS5Th1+yH2o + ###mPt4dAK7kxF3ZjXOm8iFlNflgnU+8cAtVAlC7vA1TnQxxf8oueVwGYccbDeaTclU + ###Eu+k8srmmqAcNaPTiwMYi6Z/XRSWXsOAmF4F5s4FUEcWxCOJWpF6p0E0fRb0hzz6 + ###NNUrUg1Hoh1HSN9hVz9doITxX5+fHBz5ewdXJ69Prn4q0hQxkc9XsKAHPIFmMv3I + ###wWVyyd92yONUaOc7l8uaczLqlbJ5zpqYv/3GSsW4fD7p6GXJRi91BdPtejxWfTyV + ###KW3eMIzdf1wSaM7NEZ0Y89kKlFBUTD1EJKy1hASJAqkbm7im2y5uEaTKhokl+BVd + ###aeiG4xD+Q7CkLj4cFVbHsccaLttpe5O5FF/t9CmTTXIB5ewJNMT55uDvDo2f/TAP + ###vkO5HckR1SlHwCc9iuz+vj8ew6gFfCFRjgyazxFFgO+Ohn+bupTcYQi1T68uKJYW + ###Mg/dTKAXdLoPzXwMB4MqvxrXTcQWLjBiKOSgQb99sIdm44JKwly7q7xDJy4sC2x2 + ###Hic8d4bouYNuOfxoCco/tj2BYoe0GOn54qUXgAqroAnXERKdDvuchthc/xErb8RD + ###HZClJIt90e+u0YHSdMROw9507ZIuEmm8pSuioMFNR/7pJQaWNzQ313jVkHLxWCW+ + ###e8Z3TTlMbBNROPLjyATpM2Ka7dNFeE2d00ebH1Hl4GyfvL3Au9X1AsNtQHG2kgLa + ###6p3GdXlgY1U49tYbabeWQ2XuNzz9xOQ8PHmNaUsTfJ1+TKUiu/FQ9Rkj5vHTLC3/ + ###TBvEwmzMxiM6eKfo5NPwbixCF0S56rdiffOMzHSLw66ZvnkprJJZ0SCurWnwYcY4 + ###imloVnKmZjnWR5zMkyKPKKWPQ4Sq49G3Dt/FasxM/A/FUFqOW42J+a6K53aW/p4i + ###fDwMmHVoqU0xXeirU2OnxE8eOdtjkboOEAXcssCmYQaZMppfTZuLVZdbaMXxMoW8 + ###On2JDwZh8CEkmwl39ROzludBpjfc189IMPQVVgXF4dqphS4r0o8nYhoi+VZJVvGz + ###HXs8HXkw0vf0B9BrYK3px5Ha0wva4OVKdocekiZpHoYs5n58fpLo5KgZ5NC/ePMQ + ###yibN0acxhnYZ96edW0YKz10YYJYqUECnrLlJCalU+ImJNkNT3DDtTbHYFdOW+NDc + ###L8G2A0P5+NPg+i1rCE/lVoU1K/DrS4yz4YQGzV8gsqeBQ8evaUaAFa3xjGUFpiEe + ###Z+7u4tFmimDPQKCW0LEyPSK0/ueZcxymIH1Hm7zT8kyEb+EJofht6Sns7XiOsUDz + ###FjbvutyEU//q/ICnaUykqbOeFeF+4bqpIcNw0ClmzlMgcyA+Q7rhdTJ0gYvVEx5B + ###+Fq7hrYoOO0gVXYzCY4usgkvbLxLKT1SEuCIvEBa6eOUwKotCpi9o6sSNHviQUzp + ###lwKXuCbRrzDhIpF+jY72rILCIJA8Sw0iBqt6OtdRDZtIFE35t98cH3ZZI7vNmExy + ###4yRJYrh2KDoZ2h8eI0Ri1xB+mk6CjoiNQA4fPXElH6aO7cbOC1gOA2IUSTZgyOGq + ###oz/oRVBKRIROluNJ36rcCkUgZQ/QRxSDRh0fHXDLhkBGeSeoVSLZKrSHK8cumlng + ###j2rVXF5cnRIsYKRGilF5vXd4rDtQWKg4C2OqIauc85bdAvE/EvFfxGaRDv9oU3f/ + ###SDA58X9bGzU7/kurtrHM//JNnmX8l2X8l2X8l2X8l2X8l2X8l2X8l9T8L1q8F/YS + ###VSOM4Aha7hqdFykHJbJ+UmwJ3fAe61IlY7/gus2tfCzepSeqx7vrFzHIEoilH3h2 + ###RsCqW3ZtVXSwif0l7jE+icvVaBJwg6Udkuh7IO6ykqOYE0+WnTFeHI5qlIAFhR8f + ###ANHG/K/BhwH/I5xM0FIb/6A/YrKSyxPZBeQ2RY1RyjGzw9EFDx0ms2lYhbKwPkZh + ###MOmAhvEBFqFf9F7zZO26PU9DL46WAX3yX+z9GGv1timqDbP56Nx/+QpEpA9CkgfG + ###5PsNh11K0EcCEKxFveeEIKebhIFOUlPWQ5M/JnPJbmSVDmeralASRkPa2R6f/Ijz + ###qA17ntqTdbZmdgnkng8vLmAJsU9YFDm0NLTuuumZaQVzxP063cOjDAcboZ3uZ749 + ###TDooCm6SzQTX6Gpp+DlVFShHddybyya2DUZIc3s1mUXUdTtOJhhcIOIujVOYzN/8 + ###LkM/p5RHpX6e88aDCmwOknESBhHogEDqESZOR+U5iLimPBpPKZxtiivxzQj0sO5o + ###GDqgZ5qX8cF6P8QGzU/qlPcdMw7EfK9VMoiCFk5tCA16VXfMllb0q7K235s5LvYJ + ###Xnt2zc0i4jo/mbu5w1rsyFq6DQfjiH3EpPNQdhYMBp8xZdPgM1kTb2FnpDLIx+AF + ###pvELD6f7vVIpJfb/HW50fcgEQNn7f6/RbDSs/X+zVm8t9//f4lnu/5f7/+X+f7n/ + ###X+7/l/v/P8H+P87/Q1Q4P7UTAMWvtd2/iMlKBoDieYFUwFH0X1B3tiU0hxe586mZ + ###NfSD7ZTHc8Ig/92Up56ZfiOFnKjqqoB5PYq/SJojOS3IxCAjkIsqA+n8MJzBcNEE + ###8gPTD4fFUWO0xby1lAh5BZ5krD0z5MTvBdwKWyEx4HmahE+X6S0CSzFlQdqiYBRr + ###lCBpjbIjrdWb+N8GvWk2PfwvBaxwYWB6iVngX4iMJSpvSlEUChPgLvh0kojtY2PR + + + +Valin, et al. Expires May 3, 2012 [Page 293] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###H35tLPCKSg4WbVASGGWJwVtJtDu+FzpJLLph1IddXy4myWCP3FmCvFAA/F0f5iff + ###mCLDAj8AA9TWWgXpwcx4VBbw/f6UutmdkeMu7GtBmZIxLkXguzUOfEuRCPa9A67R + ###FRgMaMHR6VdI4vd6EDcK1CcyW5VqVWDzpFU0/Ul2GhvGTFoXvM3gxkZBS38FG5Fw + ###C7bqlBTtI3AEOtHir1vQsZFBOnHZwijEdSzA5B5AWi15IPWHVZ4eazQBrbUrjDUH + ###o8kk5JfoSsdHB2VAb80rBhi05pPhPneeyAaNWwFYAfrDGd5ioZCHQiNmpcOrH7OA + ###poKGeilAZ/xeO2zeoeS1YLwFHgfQg/3LFFk3jANsAyurZE3S64VfG1kAKEg6mDv2 + ###dDoIAJkI76TcjWADxbqjj8O7/ifsPXlP3rer0xGGqbSAnsNXtXr3RR9xNs/I0zv6 + ###SE6LyGMf+11Aal6g+MdBMGxTOzHsc76iOaUmbtwq84tyl/xIxoozUODMhdv9uIO8 + ###x3RPKx7x0nXYwdHBGY7hpNFCgdIO5mc5CwXewL5s3EmFGAnyeZvM+Fb+zT5JFrUP + ###/RDAVhrn3ekF6/UH0C9WQoyQGWOcZcK/N/trbfjf8X45gVJ/+GYfW37DG34t2j29 + ###sPASsUw5VexG+EnCG/yG90etqlfhADb9OEUM9uJG40kYdD9rvLUAJ/Oal9gQQBY5 + ###AY6GZrTt1OQACz05+q+88xjrvyiVsav6V3SMneXlsJsfs6XWnK41y1yAD6U2z6k1 + ###/74i7ndVEUkSXEifd4RvXXkt1fAexWxI8rRb1rzi0Q4scI0d5N3ANU9xlR3kMExI + ###gmWmQfEkzn/OTtvH9b2HTP+Xd/6z0dpo8vOfdfhfvYb5/xq1+vL851s8y/Of5fnP + ###8vxnef6zPP9Znv/8Cc5/5vP/BK21Q6EWyIol99JaSCqx8e6Mwh6IhD5d/KMgyO3j + ###iGun0MRoQns9kB6DLgqi8AM0MscOB5oI2LgfdsKPfTQ59IchaCzBGKTWp/4dl7N3 + ###wThCqGy7ugvoRCX4u2w0gdI0hIWAS35YemeDKZo0MPF80OnMaB+CeFcYCE4qhHd3 + ###9SbixHkoEFWlPlGIi+AwQJ9JktzJjmi0bvdvLiajDroQmokV6SJlxE/axCnWyz3e + ###gteiEUHPKS2LH229udJaevKEzBu4rQYB3R8iqVjsjstL+dBo1x+PBp/TvXFXRip3 + ###k/R8pX3VHYw8dhlrD0d3sJZVEL233e6q907rKf5j3nvkra90AIWKbJeuOIrcT3Sj + ###Ut4n77L6ihjEqCwgvMtKstWNjeey3RhFwYClHdpqr0impbdlluan+97lpNujQAz8 + ###7Wz6tqYiAGs38wBb4WWHRTwsUsVuQ2nttt17CrMF/2wD8vCv5eWJgPCqMdarr7x/ + ###t6X3Fv179zTXQoTzftVLIEPvq967irgZWIp7UtZu7PmX56/ODlvNUuwhe1oiDCq8 + ###iXesrHdL9QH9id9vUQQi6MrQuhsoMRu+w4AK9Fe1/m5xNIbQkyQiXwwqeOQf2IvD + ###ZYhrynh8MAO+/XgLqtMQFTeX5CJPRdCq7oIBOpKTpCF9ZzoBLurRAdcQylpe7mLy + ###Gbziyo22Evgvvbrp1i5n191oCDM2Gz1QMHn9t6yre6k755uJwMqZmnc6aJoohTpM + ###sNcrhUCbYFxp1iRofSbClsVYIfIOrLRZi4m4UFeldpB6HwO8ijsbkr57h4cX6Ar/ + ###ywy6Of0MOhUI/jtUwaFjQ1DWJ7BtGgh53vkMokjylFtqlomdgglXp7/HI5huMOl+ + ###r+Cr6FZCEHPyzIZodAvpYvBElfVab70WRSEQQGswW4HQmxW2QVEJcAuJo46O3PBX + ###A0/TKgxKtCrsKfzAIpzXtwrDrL31ahbMp9Rgg0By8B4B3NDbdjW6IlvdckjQfgWl + ###my1FQbSDjDr2X+695U4nGH7k/BKDj5xeHDjSy104y61RZCuKpfIyu0CyQZIqL+m/ + ###PXyH//Rg9CuE3Adc17rhYBokagaNOuDtFUQceC+4Bo0C/kNt9rufdvCKeQckQQsN + ###nh8wBKT/siGvbhgJdZBGB+dtfjnin6grUICP+qYUgEbp7s6OV/vtN/ynpd9Y74hg + ###WaSTAcOqpbWMqb4o+5etW8FE+BBycTjVY/CpCbbDKIcGAPq7xsnsB43FrLWuJta6 + ###5FKndwLnGq43dN3cCjfT4+dnQzwQhPkaslrVq2+w0gQnOnAjHg+q0x2CTRWsy+kC + ###Ak4yWIo2kkA4F0wwlNsPrPbkSX193WwUC0CrEtWqueYKbnK0rveTo4a9tMP+GAW2 + ###XSxgYYynPjjpJzzoDmjuDFht5ho+PoWJvWNV4fhgFF0F13SZBZaXt4JspsYhYMF3 + ###vS2aIYzltiVv0wjYW7ItYcQKOLVRBUR612qkK2tgTzlXkn4IElj5U+l9EvJE8h+M + ###jJWdgasXViAFNdl5dgn6BnpHiXdNCgXUOuo16ACpHlz9kvBlwqiuzWjdihaJAarc + ###hMOQtgu0/cGhGkGlWEuNxGTE6ToazPQ+upchdoFRtDRRSlc8oE1dOCRrvbRqeXEt + ###W2KkYgpSRBNyyBWavqKuhiXmvmPyX3A9FwQ8KLDAJKv0p36J6yUv8VKWqNKfWEJn + ###EdyuUVuILlWhSUDnJdyOhU4rPEwlYN/r01EPx1/jJCXd3wstB3R3aq1KrW9pEF/u + ###ATquqt0q6Nx0T4YVqBrfmyG7Ho8eItwtYNVATgjFhIb5gV+17beuHtI1JGmq/fw3 + ###zF6kOomJV7Ux0S7hebXkbTvKhQRkTEEDKdwndVSLRY8PX+zMGNwF5D8Rj9ZH4xKa + ###pOf7d/a9M7xzJirsSqCu22YKH17YcXmt+4mP8fvsoF5GYw6RIld5kAoo6qqYQa8s + ###B1yOd3VXik/VJnZEtLurrk16LdQq3IlcyHB9F9wM+1M0FvAjRBcz2BfPTOwp6J9E + ###2ms1NhubhC/AKFnXNymVYDMWjjGCO7KmBYrrNjL4j3FF8unTp+IuZNUI3GiIZIFq + ###1YJXITSyczkYaMTDpECQZJf9xsGH0ULRnrycScWvP4afxsDt4cTHJgRDVlCyi07m + + + +Valin, et al. 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Expires May 3, 2012 [Page 310] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###20ZKW6K0JzVByyrwqEIIbZEbAkTJNy8OTtlKOwbhA/fJS+ObOR6ZILKh9aunG6DY + ###hzM8ku2qrnzrC53fxDvEIvahkATBTnWX3OhyWAEzdy+05iW4b35vb0kvT/VzzVj7 + ###ZAiuf2FS/bdXYYCzfcp8jsd682sl51BDFsPkaTsQafKGTCFEZ75zsKgnkasiXXNP + ###zae2M+XWop65+K60x7Ybvy5cvnB0l/YYQ4ivX4++ZQFL5ULfMnC/d9X7UWsbXNxP + ###BgbIGh9qBbY3WKJd0RhmbnmaeAnMdRnActK6JnrtQGOsxoIJ+0sKLV740pgjjcum + ###2PxDhNIjkPpxRz26xMv4Qi0n/GKixkm4NK3Vtv+q5GVeEI4U4u5G4UZ6NhljuGRs + ###f7pCrhvQ1huorNx3kWsBxZK/WExGkWTEA752NEY1c3xzdS0Tw6NQhusvnqIYCS7g + ###n8NiDAs3bjbTbvTn3p2DjExRh0YYNAJM8OTFFG1SeP5jjgdVJuEUJJ/54I7O1Q17 + ###dyhByl0eB1APlW/Uw+fhcAIK9wCdkHu4/SWRiLTRArfGz0PaSjzvoRDpWivQL+Fn + ###PHgXzud3YnjTl8fuzsPZ3O6cl9GDAcVP6cBwFY7CaW+OwgaeK3HhWeUpmmuwML0H + ###d9rKJKP1TQa9vms0Sh8qUkBIHQb30OmunEFJEUBb5omE7GkRI8YxASBWAg0h6G/z + ###H67/TbKHrlmnE6Rxwa0osXWSvkoNAmpE7l2Q9n+xP3f4Lq7ngDbpTWfqnH+6o5l1 + ###MYMxNp2jtxjua/+TEXDX9YspKMXHBvhWOJacE//Mh2/XjxugQaj3HpwYGMQhGcAC + ###HPzi9YKOL7CWUjcLKJDi0SipGsEsX4aqTHWchYNLkA8G8pR0LOICyP4wFPqZsVrl + ###3vCH+taZ7i5smPxNjtpqK1g7aTmerufOqaH++GZkT7r1z2WIMLe+/nURmI31X5PV + ###c8+6QW82Z6FR0+hRUX1t1W38hiUMEhmHUkyt2v+ZuZaqzYwusFpls5HkJy9eHXD1 + ###fGrmObQG7gmntTV6gjbnkrzTbYES8FTOYhUkFb6jMBVmDMJKcjxy1TKyu1WMgRDp + ###2zTD05rV0Dr9eSwOnp/orX72eeB+bsJdyDY4OwyP3PGUkh4SGgKIB+5yv9ReFY0s + ###itThEWbdYBVP6Kga9z6xcVWncWh4NNRRhm3GsVhMYMeiosz/jg1aDyhkNTK2oMJ9 + ###T+hdpGUbrvOjOPA9ApQU+MS+fYOR7WBMYgevMzqAwD0eohviGJ0ABOUktKSp7bCm + ###WJa7LNYo19wMz8MpShGqQnn66kIGCpjPZNUNZsS59mYC65j+NY72Q05f+QozpCCB + ###zZwsyOd7orG5UVkJZzvxhHLivCCbB+3Sg2SFMtGGa/EgtOpJHoRyuSMATb4DQs/Z + ###b2fnntO7WXGnyFJNkNckTseEFqqyqpGYgafZrDYasJZXG/UdB8mvOuOFLJKw+aXA + ###+PNQN2a1jgDa0zhldN9kw4Q4zyNJ+62Kkyn3EbxMdudEgDSwuVSYxGDlxbQVGk+w + ###irs6ittpi9nFWpSP9UWMbdiG0ISOOPOI4sxjWXrKK5GR+HTQGK2pOpP37qhb9Te7 + ###lVV5OROkFq8ZuMu+RN+tW/EhAUfJFB41Y/RbingLB4MQpo+angQikhYlnWOlA40v + ###mcYTD8O5eN3DwCcivAUthQATBqjeIGzJ6srM1pVAQ03AJQamatJy65kqzAemfnRf + ###a5uyXmOnS7kKVKveZDKQ4diJHLBuoIMTKXzE98seW07kArFGmKXiRwwLp+bYTMjF + ###SKlH0fIE/WqUxn9aUj5Xm+oRKuKj8dyswuHtZBD1o/ngrihfTsazWXQ+CC2Z0QBw + ###HbpTTnvA59BBQfWB6SY9TPWEzSP7HvSm8pRDb2RBBdXNRlmchH+EfdqFGArMt1R2 + ###etHO8D0qv9LQcunpz0qrjsvxk3Z+TjKV5NNzSvWhzpWqhHmlx7XHRD1LgNKvzIFI + ###9RvAkYqji/kalCrtPlY4lEi3MVlISE+XfJFHF+B64woqY4p6uFAx1D2ytHrI83TE + ###dVzGvyqUN4UrqRmXxKioogt6FSeFX9AJQX7cIbks5VyRi6dQdJRpjFLO3MqNRg1I + ###2LNVLs5ck56PnfyKwDnqW+JWVMu07dJUKoKOFeN05TM9Um1D5PJgf+8lJvv0U4fK + ###NKT0JRAzURlf7BLhnlRQ4qFjuMlOY4rvLDGcI+7KopZ4mpQOjpqSzGk6Vty8875x + ###9vCXNStwW2NygAUfEssKpBEgpU8pWosnnT8wnxITkF2gtsL5iTymqsUSyCre9BNj + ###mWwMsl5gLxyYBY9wSblAF57XszNHaWqpC8A/2fxkSTTjuVPt0FTdJBeC2AAt2brj + ###GZ+EOROfpD+x+lOWG5d+3ktABJ/qlFG+Q6/FS5Vyd4LcNLLeQY2Cn2TW4y2qAZxh + ###Jafa8xnyjz+unMB1Vs4SRYxJbdQulzpPf2vS5X1jm/8uyfKWS5GXSd+M9GicvnbK + ###LJMnbYmseJfKVeLye/LiKXeO+x7N0V+fCW9h/ru/X6feU8q7+5qjfx++5Oex454k + ###sQZGyZnronjyORHLZ7d8DAiSan5M7IBFSfJSk9Mtk5hOD9dvyBhnyjlipR2x1qi0 + ###XKY3B5VVE7o5yPAQh1nY+NnANAbx0G50jCwtPKSr4SWEQys5BZaCKUp2TCU7aS3t + ###E7YwOphYJgIaL+noAyqihQ6qldn1b9unB8njj3TIJQceslwq6uphzACSmf4q0Ws/ + ###3Uk06QzzMv5s1FaJp3Vgc49EOYOWH1IGJN7ipH7du0oiqpd+KuEw/c3o42j8eRRn + ###l3nNPPBo/WPGSox9a1Eiq9XyWNk0VhoLnrqKMW7FpmN5q+LGIVdTXSZWkhd8NStg + ###EleP0w80r9mgSXt7jbyTlQHBL3cumg2ojGrt4RxmSl02bhOHy4oHUPyXtHMv8bNm + ###SVfWIRyO6BKEZcfUUwnLA0ix7kywHSbbJBaKPWlhz7wISVljh4d4Yc2ouePDKXU4 + ###27VxV/KWia7UyQ5EW7yyhZ1MwYbEDv4buNBXQ9t1pQQ0amz4chCHs8JGBeuqJDO9 + + + +Valin, et al. 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Expires May 3, 2012 [Page 313] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###WaiDPEZeZEEW4ImXoDwWsgYxtDutldsnt+LTjP7F3VbdiKJugxuxJjP4NBnrnB7I + ###jBJgYpSZAex+vKhTVM/KBOy4zqswAKCCRcOboQ5TTTS3ve1Vsub0ab7gdtWe2PZi + ###gCykgZpvzXiYZRaT7akauHBnK/zgoHKm3qFN03/Bo+JRcNBAT/mpjo/qDtW1ptcx + ###nC2YOG2p89bttyzeqbkkq5zgsqgvf7YWzqrKUMadwMk2egj7GEOWmng0Kg+VzhCR + ###yK4Kur16qBG6Mg4y3e41AWv8Bf/sueNuwZx9ciHof5qhigpEARdK8lTlQU/kHFUB + ###PABCiYBJlGWmdzXm1tQLoaNmq1dq1ti3KdkHhDAExNDRYo2M8zoa+16z2rBBUuLl + ###K27EPfrMi7cX7Lg0A70Q5IuKzQJgwK1RdghgZWtOriLzfk+Nk5Tg8okBg+FS6VUU + ###XTRDtlT2YrNV3TBsct3BrF9NjV5K5gtsVuDkveAtqxb8ti3RvCVb6DTSW3a+wIph + ###qkxMakiIV1MRV2hLIqxV13LyAY2M/I9vS5UV1MGUud1WYidXRT+vn0iLGeePzhrL + ###UQEz8BMmOFO/P7GEYMJENQ0WJCDQwyg6QznAHUbCz1ADVTT5KBFeiD5hj7LxaH2f + ###EjNpOGOQQVgmIwb/FjmDaoLsesUpnLwz/rixOTR++DipJRaUHBXfb1VWJEbaYIti + ###gy02yThZZFwlNamqP37+ZNAla7aYcOLeEuLEq5xdyKXJJ5EeBh6hOFnoU/3CBEk3 + ###D3UWHrQpStsVbVXKknKuLowErw5pv/1dCXgmKUhRDeS8Xz8b3zwAmxU4lhaY7l1W + ###SggunCWqYWVcHJFQtdhVyS/VlJRG/GkIVzyxKQXth/2Yv+GV6P95EQ7H97X5878W + ###7f80qpubDbn/s1GrVuG+EtSrlYf9nx9yJez/VDZL8NeWOOi0T9BpIaXA9sMu0cMu + ###0cMukXjYJXrYJfordonuI2Bj1pbTRXh+c5WwCzW/m4QLdqesN+f+b8qYK4JGpaK2 + ###RMgY173BYAA5EkYLgs6inwntcBSz1/HIAeGZ2MXklYrx70GD0NyP7Is8E3Ov/pGH + ###hyYdQC5Yr8KDx0aferxLuZIn6JEZIjvcE+LDeEI8EWBHo8nNHADAIoM3ZCJ0YxDE + ###0FOAAb3SxeroZNW9TO3oh7mDrogT0Bwp6jT8O8VdpgjdQEvA20ER7N0BLJEGQ6Gw + ###k1WmFIr4tSPGo8GdmIJ2wd0kKRUjNIGeAblLMklDPhP+xRLwVYRmzBrSu5h54EUP + ###V0qoNrseTHccrycc9c7p7P8IREKKu0Wers+MBUp86sFady6dW/FVdiWf4rW4lUxB + ###hkAfUg8qq/BmxApm1maj1O8ePf/y5vmXX59/6cCfw+d7UKscFLaMzFMO4sR0/JmO + ###lc/H4vJmMMD7PKvfGcmZ9dstnt1qufGl8SWofKlWvtQrXzYqiAG9l1tHIFgMZ6yS + ###akVkggY1sqtSS4pd8nxEgHZTSr7RoKlA0ULHWJTZ/TTGvcLbaH4HkxTu96if7FPQ + ###X+msOCabwLQ8eFKcDmxT9gleUWY1EQWxugz7ScMBXeeFLCEOWwfZlB6DLDocj8YO + ###IHoq6DHNQOi0IjqQjsjeMgMpLRzLqZE9A+e36TODsHxx+lsmhMF4NhO76L68xyDM + ###oK8GyA3VHiKWQluK9nMWOXJs5vTU5LR57DAUQK36078IMgrj+gKLffdgv9Nqg3Bz + ###1GmftmkVfQPiWCt3WxR3eQy1CFxwOJE/VdYwhOCthjNaDleBjLFlerB+MNhyheZh + ###JnGhm48xyv80x9MDRb45pn/9oX6mlz/4UcG8WtHeXrX+TD+inLs5eBZs5Clup3lT + ###1W+2vBc1gqKe2QBoHBOsHVFEB+sMlLQLMG9FnvDc3a3W0WQZe4WRSAFVa8ZMKFOF + ###MmILPxf+q9pZLGindAXXMfrlkpVjDuG4UmjXB5VQd2JSul6KHCvmpjxLXg1xPY9m + ###cv3BWUQVw1ihNRkhaztkclxk8TUZf7VCcvyVs/gi/Fmxb8FfM4aV8HcCZlG8LIWa + ###FNn0+KBekOGphCoQjQ6jAWifmNUY7+Q7GT0ZgyfD3/BGPkWLZUtJDgXA08QiFrGs + ###C+yVQmlmf6EluHpmf3OvfDchFDN8qnW3ez7R2UqTbKUGLvtSr49dWrdNrTezsEt7 + ###UfoBW8K6LDG7TP6gFxr3e7NeuI+BQbPWIdN3m0Ugnb0vfKLcJpDrok9MP9YQmZ2j + ###onbuu73+vMk+Z8FIZx+jCX81m4/Nb7WnT11repb6yErrMmjk/ltQtQ9I7e3ug0p2 + ###LMtejG+UHDTDyCVFuusC8dgvQk3/qsrb0fTKVmaknGZJbc7xCWXediXfZ0NnPKPU + ###xEW662IqK9xotwXm46urQWgJy7koDFkMcN0bSNu4O1ZUGcyNx8pYwIwtYRewWc4p + ###jWPIyV+2vVEpbLBeR38UisrNu+dzGE5wYLvjARC4GA+7RmjDakfhZ31L2kJ40cXk + ###YHFo1B9F/SMaNRMAwzRVLgcy/w7wDbErGkKuBmbLzdEEkaHYxG5pUai0S1Cc6T2Z + ###KcYGJEcHm0/hdAYjTnV0ziSjQ47Bepbyp1GYOOJo+PaMlB0ZKc5FmPeVhaGh6vgj + ###zLksEfRFImjW7xmgDdKPePmnT4Wi8eZ90tivxwOd1kBURVkTVSssE9CZtDgbeH/c + ###fmvwyiRfgma7amWYkxTNRK0X3dfHv75ovd7/fbm6SZF6nH8EtTnOAKl57BgiaL6w + ###6jxB5H4ZTkdRFEr+MrWnhHUuSBgozgKFQqLl+fnefDzIxXDhMFhGRSgcZRdeMFbY + ###IrsUHrHm2NnqtOlRk7w6cQbEXgRVPH9MsBJfb6R9WK1nflgnP1Jv+saGQEe6ZYMQ + ###4ajRM9pwQAhFiWCR2YL09ZhwK0pEyE5PdbJcHJmDQsXddrJd8kasNzR3Xi9ojWu2 + ###o51plPhimVAsBd7+u1O1ZMckGyhirX56/TUaNoDUEhaXcezq5Ig08eqUCGTL+5KN + ###fZO1XjprJT2RiSPk2rAreWlJVAWf5UCqyXTcD2d4Ang4xE6hQ5PKdMYds6LLXKYG + + + +Valin, et al. Expires May 3, 2012 [Page 314] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###KVmArO1MWaRA2SUPaJH33IwStQZHY5DfO/yC92LFfcGnFQ0WzfJWxNmMiu/C3ELx + ###8PdZsKx5TQRU+9HzGM+X1/IJKc2VyPHd6t58Q3U2X+bK1f36DdU5OSxXqazzLbXF + ###02auUuXhN9Sos3wmVPbPGJz4BoJaj20FT2blBMbrX4yLI9s+el4Ub+DPr/Cng38d + ###PmcxVjMunwjeYMcra4mn62tsGnvOgt86k40e8F0z2UJZaSZXy42UwZCxftUrlZUH + ###3TdUU/2GaoLK6vUE31BP9RvqaaxeTf0bqqk2Vq5mY6lqaoUl2rMUN5iZaW13Jmh/ + ###cfgtbAHGcFHA/wGKbPCnDn82Kv8NOAMT776LN3A4XgOTJEjSNmKUEfm4IHNP7bQi + ###6veJYRaMh6sjA//w5hlBO7V1vjgexHG5D5nRbF5930pjoHgk87WHP6kVaGD9vnHy + ###KS6v9x2V675RBqXp8XcgTJ/H9Qupiv1JKKNOt4DK3laQsw2kAHhYJ+iLP3w2kuX0 + ###u8aPhOBhyG29P7xNvkX5u5oXA+bh7b//88agsXh/f3cRlMQugxd/ZZdlrAqrdBaA + ###SemmFRYUt3oltgmZwgTdYaZQ99UIuvxCzML5nCLUo1XV2lVVA326ZVnBJbJZMpYO + ###J25tkLrjjMBqtkOgrczWyTZB4oIOhs3+8iVBAtpjNrQUO6Ng/l+x78k9+DyE/+eA + ###1khIE6I87pohkLJKlzIyyqbRNi8OYGXC7Zf07tclUUNmsdG7wSZ1jbIYY1rYhS08 + ###GN8MLigXC8KSfiwCUwb5JnWse3kDqdqYdnDXuRFwb9ogrwoCJp/P11z04dXK+CvX + ###uOQGBLwBNpPNKj2SbYmH6azDCOiZrUJrOMqV3TAv8l2MoniqA8gLXRk8QLO4Ovdu + ###pkTmBskBwAZ6yJq116DZIpHHUuZTyqCA8PPOdE0ki32MfbLy5olLkPkApYmijVD4 + ###vH16sn/ayrG5zXBa9LG2YuWM/Wn5j98/P8kpY+5KH6E/MSwI++2j01x/pY9xyXiN + ###1Po9Z/WW5T9vU3aE7mHrIOeoFctDkOEg0e/+qPW6k3PE+uWhvDj9Laek1OU/kvyv + ###i57s3betk4OcLzGafeRsWC8JyPG/7b9q7b/IPUW/CTdLNM1S3yPJzpmL0MxSLeUu + ###mqV/xsRUdf9lExPPDeK/MnIBmz6MWhQOINXWv2Pr850/gMCPrRPsY4YZO8edBN2a + ###9hdAH4YX0c1wRejarL4ANvwOV4TsWO0XgJ/dwGj/hjq0nX4BeO1uvBAybv4tgIXB + ###jVPg8OgB6QDUbn0KDLasxlZVkTCDXig/QXkU6gms/K/+odf83JMLM2PzWeJYjtK0 + ###pcx1NYlYrI84Fi3l7acRkEJTby6elGuX4uP5+izdzvk4IudBCvAsG3FRUvnlpNKV + ###adpMRJ2tm4VKuVIJUj/3O6jIbMCa95JgmSOHs0JeZXVzN3wLJlG8CnBGhTW3ksLd + ###dwBQwZwQiOMrWMj3LTBHKNfZm7BUnomQnumNq2BUSfC9lUhGShvcsOKgw54vsMqR + ###bX2+rBXe1cccW7zyF3O1KA7F3XlmPlEx9f3pU9IVc/kn1YqzCeBWr2rEADGy9Iav + ###TdMaoYq5WwmeXovcpbJjfN7im0uxSB76qyDtq2rWV9W0r4Ksr2ppXzUyPqqnIthI + ###/6hhP0rYY0n6zN1ywG7V3bMb39zCHmaDZy9h/yuru/BaSmKkuOJuCoG8p+fj5fg3 + ###eoaJREMEXosHvyXJV2dqMTuIHem1jJG+vHytgNURFmvoV29qxxct3/wf9/x324aS + ###ZBNzp/UugLkURVAU9aLw5TxZ3yVyIHyVsL8fH0josi1da5HR8eMI/esE4Kz4Xtzw + ###8eULh7e7cFTFVs326FNvgGcU1bEimd1zR9lOGOyEYbVwlixLRN+beEnycPC0dKjv + ###qCKGelq/YeY33sJVaXfSI9MGHjInYSPJsc2/HstkFSSnXKi49legfiy0VcmLt8rR + ###fsyV2SmJk52TEX3ZneW/YNUtfrYgTlDjYoZxdvTBCH0htW2BXS7gLCA6BdiLt1IF + ###1TEwDZrPot0EkSYeNcmAx9BXMZcxvFBwiNtxv/6UMZkZH5MsDMnJyeaO0th0TvIj + ###0Zscj3xngRituMcpBinSX8aalmzQTYWrvuDg90T694p6bHOmlI6KYM4SvIJda1/+ + ###vgq++g/WC7AWX4bzOyewXGIzd4OKv07Ly/XtxVKxer/LupaA+QLLy2H7aP9192T/ + ###6GUr9zSFnfoVeKsLWueXZIGCn7yyQ15HWw1NpMns9SPFeOK+9E0o8lrBQ4TN2KQz + ###cQktdYUD3Ee5jMLBRUxG4IcdneXGfOJv13+eRnNK4SJfmxUx3kgOO6U/76UeVXTB + ###8ul+l7iKUOBX0vl1NGJP7JHHjRhckOFQfokZHPcqTGxEYXo3tosdG8k5FUEPJO10 + ###9VJf5AMOEjFG7BmPzBndz9fhCL7GpTkalfTZ5AQ2QfW51STWo4va81VppRRWvfk8 + ###HE7w5JWyQ0pjBMdGHmQPb/UZtyT09OV2h2tdRSFZnvwSv1A4YLHjrU7OCBijdOPa + ###C2CYJExMvFJVCtbUaXh1M+hNdTu/qxXSbFByMGc/E3GvpOEee5rZmj+bxEloxlFE + ###vuZispewbiW3QDEA+HwNbfZM3kuTA92aSvhVImvRFxZIFrGySBuTtskCb84kS7FK + ###m+kXys1CeJZ8txFJSrNL5tT1JL6lweszWxmwYtNwSF6xvaOSHB2YK7gnhV6XVELl + ###RdNhR6ZACkrERoG79FPkFjpwiHdMI3kx+Q+HnZ2BsEkngXjjbNvwBQ1rfUPMzXnv + ###NQg3ZZaqOMYh4xKH8o04IbiyiXjm3OZ0X6SFPdZeAknUWvRtNFIOtE8GFxT8fmug + ###w9/DXfZYlHZiWqiyShnxg4ovRbblwfkjzZMG0iSydGlsgR+JueWHjPGehd6lIX4j + ###I9A4x4ro95ojNBS2njmvlTNRzi0DCop5mQfu677cMS+fOVNjSRFiNMU9lEq54gsh + ###SV4I+kqQpVGFFR+JM8I/XCkWBXt4X3xcW0uVGxAVoA9osQDhDD7LySPlefVkea6m + + + +Valin, et al. Expires May 3, 2012 [Page 315] + +Internet-Draft Interactive Audio Codec October 2011 + + + ###WwD/IdB1+DcRH0AlD9QNwkYiUvrIekav6cucvOduUXGkYHC8x4BBo35MSqAT8X5N + ###/H6jnmQipIp5peage07drbkjIC+eajOAOmgYY0q9T+EUc1cqfW7HaemTTb0Dlc4f + ###grBUK2CDPGt0jlkzdOfKaPZuRBrXPYoiBWXgcv5xshQyOEc8hJy9KSycOu4TqNTH + ###VJTJiC2gkkUJgCxLIyybTied2RWjX130prgGfIrUyeUsbAiV2X9N5zkagOuSbZRo + ###OBKK6zLfgN9fiwiJoUmRy8J6dEe+UjNUBD5fR/1rmS0XN9cR4Wk4w/Or4nM4RezH + ###mJhVTQ3KSfyi9fzdy27n9Pik1T14fdxpdTEICcXvA6Fu8LF7igEvOzBmcyrEXTTE + ###AHnz27n29XLMDTqBD/zmr7Vso1/Db01rzORj0r+YUeJOKkNTW9q4gsXWofj6Q1/Z + ###9/jLvuSLUufdwUGr08HgOn918NmH6+F6uB6uh+vhergerofr4Xq4Hq6H6+F6uB6u + ###h+tPv/4fhSE5iwAwIAA= + +A.4. Test vectors + + Because of size constraints, the Opus test vectors are not + distributed in this draft. They are available from the Opus codec + website at and will also be made + available in IETF meeting proceedings. These test vectors were + created specifically to exercise all aspects of the decoder and + therefore the audio quality of the decoded output is significantly + lower than what Opus can achieve in normal operation. + + The SHA1 hash of the files in the test vector package are + + 1c93c979fcdd3b690e7f026c7d3c0dd7ff18ce26 test1_mono.bit + d081f04726a9b55139169e9102c0e8aefd3bc598 test1_mono.fixed + 52ef3919cb33f423ab5ad3d6eaec73c78d59ae47 test1_mono.float + 581b0a5dbc1cb624c79e4d881813793d819a43f0 test2_mono.bit + 46d4ddc49c0ce80861dcbbcc3264383ebe851bd9 test2_mono.fixed + fc8d3609f7fe22463641b52acf71bda7e97ebc99 test2_mono.float + 512965134678ec8a2883796467cd27c9d2e6b2ac test3_mono.bit + d6401be4d5dc006bb6433c4aa1c4c018ddd4d25c test3_mono.fixed + d10310d657fde1dd23c1a50c4fb3fad8d8ce8d5f test3_mono.float + 5d3819e5ac37ecfbd6a7ab7142b083279e1815ff test4_mono.bit + 44881c834f03f810ffb2397de3ec850323f49513 test4_mono.fixed + 6538684f07dc435aa6877f5cf705936afce3aca9 test4_mono.float + 58515e06eee6bfb0981b0d09882e6903b2de3a26 test5_mono.bit + 5ae5eb782f911ff7bd1faf2369fd09e88122b356 test5_mono.fixed + 120217917cad910d6ea5d6855192210ac88881dd test5_mono.float + 3a8e9c2136daee94f517c0e1bcb79ffee9b094e0 test1_stereo.bit + 0016f27e2792ac5651cf9a47abacd0ffc3e3aa6b test1_stereo.fixed + b63ed7377bd39a1ebd76e965ff77a32adad837bd test1_stereo.float + 521eb2a1e0cc9c31b8b740673307c2d3b10c1900 test2_stereo.bit + 3dba673f3ff244fb3930cd712ebf14ab4d51808b test2_stereo.fixed + 8aa4a5c7c2fbd4add2e4d4b76bb0c15c8e3ea8a8 test2_stereo.float + 5b50aa6d1c093c77c15e61d6fc466a5ff1f7c423 test3_stereo.bit + 165c6b92599ab1319acb8e5637b8123856c102b9 test3_stereo.fixed + e6613f0af12f6faa16f4760b0b1a59a5cb5bfbfd test3_stereo.float + 6bc8f3146fcb96450c901b16c3d464ccdf4d5d96 test4_stereo.bit + 01c6f02bc5d10a5a653a89b82f6c5f7807397074 test4_stereo.fixed + + + +Valin, et al. Expires May 3, 2012 [Page 316] + +Internet-Draft Interactive Audio Codec October 2011 + + + 20ffcbf8b0eeaf4ff17ed29d1120b2d23ce50334 test4_stereo.float + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 317] + +Internet-Draft Interactive Audio Codec October 2011 + + +Appendix B. Self-Delimiting Framing + + To use the internal framing described in Section 3, the decoder must + know the total length of the Opus packet, in bytes. This section + describes a simple variation of that framing which can be used when + the total length of the packet is not known. Nothing in the encoding + of the packet itself allows a decoder to distinguish between the + regular, undelimited framing and the self-delimiting framing + described in this appendix. Which one is used and where must be + established by context at the transport layer. It is RECOMMENDED + that a transport layer choose exactly one framing scheme, rather than + allowing an encoder to signal which one it wants to use. + + For example, although a regular Opus stream does not support more + than two channels, a multi-channel Opus stream may be formed from + several one- and two-channel streams. To pack an Opus packet from + each of these streams together in a single packet at the transport + layer, one could use the self-delimiting framing for all but the last + stream, and then the regular, undelimited framing for the last one. + Reverting to the undelimited framing for the last stream saves + overhead (because the total size of the transport-layer packet will + still be known), and ensures that a "multi-channel" stream which only + has a single Opus stream uses the same framing as a regular Opus + stream does. This avoids the need for signaling to distinguish these + two cases. + + The self-delimiting framing is identical to the regular, undelimited + framing from Section 3, except that each Opus packet contains one + extra length field, encoded using the same one- or two-byte scheme + from Section 3.2.1. This extra length immediately precedes the + compressed data of the first Opus frame in the packet, and is + interpreted in the various modes as follows: + + o Code 0 packets: It is the length of the single Opus frame (see + Figure 19). + + o Code 1 packets: It is the length used for both of the Opus frames + (see Figure 20). + + o Code 2 packets: It is the length of the second Opus frame (see + Figure 21). + + o CBR Code 3 packets: It is the length used for all of the Opus + frames (see Figure 22). + + o VBR Code 3 packets: It is the length of the last Opus frame (see + Figure 23). + + + + +Valin, et al. Expires May 3, 2012 [Page 318] + +Internet-Draft Interactive Audio Codec October 2011 + + + 0 1 2 3 + 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + |0|0|s| config | N1 (1-2 bytes): | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ | + | Compressed frame 1 (N1 bytes)... : + : | + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + + Figure 19: A Self-Delimited Code 0 Packet + + + 0 1 2 3 + 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + |1|0|s| config | N1 (1-2 bytes): | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ : + | Compressed frame 1 (N1 bytes)... | + : +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + | | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ : + | Compressed frame 2 (N1 bytes)... | + : +-+-+-+-+-+-+-+-+ + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + + Figure 20: A Self-Delimited Code 1 Packet + + + 0 1 2 3 + 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + |0|1|s| config | N1 (1-2 bytes): N2 (1-2 bytes : | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ : + | Compressed frame 1 (N1 bytes)... | + : +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + | | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ | + | Compressed frame 2 (N2 bytes)... : + : | + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + + Figure 21: A Self-Delimited Code 2 Packet + + + + + + +Valin, et al. Expires May 3, 2012 [Page 319] + +Internet-Draft Interactive Audio Codec October 2011 + + + 0 1 2 3 + 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + |1|1|s| config | M |p|0| Pad len (Opt) : N1 (1-2 bytes): + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + | | + : Compressed frame 1 (N1 bytes)... : + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + | | + : Compressed frame 2 (N1 bytes)... : + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + | | + : ... : + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + | | + : Compressed frame M (N1 bytes)... : + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + : Opus Padding (Optional)... | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + + Figure 22: A Self-Delimited CBR Code 3 Packet + + + + + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 320] + +Internet-Draft Interactive Audio Codec October 2011 + + + 0 1 2 3 + 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + |1|1|s| config | M |p|1| Padding length (Optional) : + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + : N1 (1-2 bytes): ... : N[M-1] | N[M] : + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + | | + : Compressed frame 1 (N1 bytes)... : + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + | | + : Compressed frame 2 (N2 bytes)... : + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + | | + : ... : + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + | | + : Compressed frame M (N[M] bytes)... : + | | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + : Opus Padding (Optional)... | + +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ + + Figure 23: A Self-Delimited VBR Code 3 Packet + + + + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 321] + +Internet-Draft Interactive Audio Codec October 2011 + + +Authors' Addresses + + Jean-Marc Valin + Mozilla Corporation + 650 Castro Street + Mountain View, CA 94041 + USA + + Phone: +1 650 903-0800 + Email: jmvalin@jmvalin.ca + + + Koen Vos + Skype Technologies S.A. + Soder Malarstrand 43 + Stockholm, 11825 + SE + + Phone: +46 73 085 7619 + Email: koen.vos@skype.net + + + Timothy B. Terriberry + Mozilla Corporation + 650 Castro Street + Mountain View, CA 94041 + USA + + Phone: +1 650 903-0800 + Email: tterriberry@mozilla.com + + + + + + + + + + + + + + + + + + + + + +Valin, et al. Expires May 3, 2012 [Page 322] +