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Internet Engineering Task Force (IETF)                       J. SkoglundRequest for Comments: 8486                                    Google LLCUpdates:7845                                                 M. GraczykCategory: Standards Track                                   October 2018ISSN: 2070-1721Ambisonics in an Ogg Opus ContainerAbstract   This document defines an extension to the Opus audio codec to   encapsulate coded Ambisonics using the Ogg format.  It also contains   updates toRFC 7845 to reflect necessary changes in the description   of channel mapping families.Status of This Memo   This is an Internet Standards Track document.   This document is a product of the Internet Engineering Task Force   (IETF).  It represents the consensus of the IETF community.  It has   received public review and has been approved for publication by the   Internet Engineering Steering Group (IESG).  Further information on   Internet Standards is available inSection 2 of RFC 7841.   Information about the current status of this document, any errata,   and how to provide feedback on it may be obtained athttps://www.rfc-editor.org/info/rfc8486.Copyright Notice   Copyright (c) 2018 IETF Trust and the persons identified as the   document authors.  All rights reserved.   This document is subject toBCP 78 and the IETF Trust's Legal   Provisions Relating to IETF Documents   (https://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.Skoglund & Graczyk           Standards Track                    [Page 1]

RFC 8486                     Opus Ambisonics                October 2018Table of Contents1.  Introduction  . . . . . . . . . . . . . . . . . . . . . . . .22.  Terminology . . . . . . . . . . . . . . . . . . . . . . . . .33.  Ambisonics with Ogg Opus  . . . . . . . . . . . . . . . . . .33.1.  Channel Mapping Family 2  . . . . . . . . . . . . . . . .33.2.  Channel Mapping Family 3  . . . . . . . . . . . . . . . .43.3.  Allowed Numbers of Channels . . . . . . . . . . . . . . .54.  Downmixing  . . . . . . . . . . . . . . . . . . . . . . . . .65.  Updates toRFC 7845 . . . . . . . . . . . . . . . . . . . . .75.1.  Format of the Channel Mapping Table . . . . . . . . . . .75.2.  Unknown Mapping Families  . . . . . . . . . . . . . . . .86.  Experimental Mapping Families . . . . . . . . . . . . . . . .87.  Security Considerations . . . . . . . . . . . . . . . . . . .88.  IANA Considerations . . . . . . . . . . . . . . . . . . . . .99.  References  . . . . . . . . . . . . . . . . . . . . . . . . .99.1.  Normative References  . . . . . . . . . . . . . . . . . .99.2.  Informative References  . . . . . . . . . . . . . . . . .10   Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . .10   Authors' Addresses  . . . . . . . . . . . . . . . . . . . . . . .101.  Introduction   Ambisonics is a representation format for three-dimensional sound   fields that can be used for surround sound and immersive virtual-   reality playback.  See [fellgett75] and [daniel04] for technical   details on the Ambisonics format.  For the purposes of the this   document, Ambisonics can be considered a multichannel audio stream.   A separate stereo stream can be used alongside the Ambisonics in a   head-tracked virtual reality experience to provide so-called non-   diegetic audio -- that is, audio that should remain unchanged by   rotation of the listener's head, such as narration or stereo music.   Ogg is a general-purpose container, supporting audio, video, and   other media.  It can be used to encapsulate audio streams coded using   the Opus codec.  See [RFC6716] and [RFC7845] for technical details on   the Opus codec and its encapsulation in the Ogg container,   respectively.   This document extends the Ogg Opus format by defining two new channel   mapping families for encoding Ambisonics.  The Ogg Opus format is   extended indirectly by adding items with values 2 and 3 to the "Opus   Channel Mapping Families" IANA registry.  When 2 or 3 are used as the   Channel Mapping Family Number in an Ogg stream, the semantic meaning   of the channels in the multichannel Opus stream is one of the   Ambisonics layouts defined in this document.  This mapping can also   be used in other contexts that make use of the channel mappings   defined by the "Opus Channel Mapping Families" registry.Skoglund & Graczyk           Standards Track                    [Page 2]

RFC 8486                     Opus Ambisonics                October 2018   Furthermore, mapping families 240 through 254 (inclusively) are   reserved for experimental use.2.  Terminology   The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",   "SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED", "MAY", and   "OPTIONAL" in this document are to be interpreted as described inBCP 14 [RFC2119] [RFC8174] when, and only when, they appear in all   capitals, as shown here.3.  Ambisonics with Ogg Opus   Ambisonics can be encapsulated in the Ogg format by encoding with the   Opus codec and setting the channel mapping family value to 2 or 3 in   the Ogg identification (ID) header.  A demuxer implementation   encountering channel mapping family 2 or 3 MUST interpret the Opus   stream as containing Ambisonics with the format described in Sections   3.1 or 3.2, respectively.3.1.  Channel Mapping Family 2   This channel mapping uses the same channel mapping table format used   by channel mapping family 1.  The output channels are Ambisonic   components ordered in Ambisonic Channel Number (ACN) order (which is   defined in Figure 1) followed by two optional channels of non-   diegetic stereo indexed (left, right).  The terms "order" and   "degree" are defined according to [ambix].                         ACN = n * (n + 1) + m,                         for order n and degree m.                 Figure 1: Ambisonic Channel Number (ACN)   For the Ambisonic channels, the ACN component corresponds to channel   index as k = ACN.  The reverse correspondence can also be computed   for an Ambisonic channel with index k.                       order   n = floor(sqrt(k)),                       degree  m = k - n * (n + 1).               Figure 2: Ambisonic Degree and Order from ACN   Note that channel mapping family 2 allows for so-called mixed-order   Ambisonic representation, in which only a subset of the full   Ambisonic order number of channels is encoded.  By specifying the   full number in the channel count field, the inactive ACNs can then be   indicated in the channel mapping field using the index 255.Skoglund & Graczyk           Standards Track                    [Page 3]

RFC 8486                     Opus Ambisonics                October 2018   Ambisonic channels are normalized with Schmidt Semi-Normalization   (SN3D).  The interpretation of the Ambisonics signal as well as   detailed definitions of ACN channel ordering and SN3D normalization   are described in [ambix], Section 2.1.3.2.  Channel Mapping Family 3   In this mapping, C output channels (the channel count) are generated   at the decoder by multiplying K = N + M decoded channels with a   designated demixing matrix, D, having C rows and K columns (C and K   do not have to be equal).  Here, N denotes the number of streams   encoded, and M is the number of these encoded streams that are   coupled to produce two channels.  As for channel mapping family 2,   this mapping family also allows for the encoding and decoding of   full-order Ambisonics and mixed-order Ambisonics, as well as non-   diegetic stereo channels.  Furthermore, it has the added flexibility   of mixing channels.  Let X denote a column vector containing K   decoded channels X1, X2, ..., XK (from N streams), and let S denote a   column vector containing C output streams S1, S2, ..., SC.  Then, S =   D X, as shown in Figure 3.                  /     \   /                   \ /     \                  | S1  |   | D11  D12  ... D1K | | X1  |                  | S2  |   | D21  D22  ... D2K | | X2  |                  | ... | = | ...  ...  ... ... | | ... |                  | SC  |   | DC1  DC2  ... DCK | | XK  |                  \     /   \                   / \     /              Figure 3: Demixing in Channel Mapping Family 3   The matrix MUST be provided in the channel mapping table part of the   identification header; seeSection 5.1.1 of [RFC7845].  The matrix   replaces the need for a channel mapping field; for channel mapping   family 3, the mapping table has the following layout:      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                                                     +-+-+-+-+-+-+-+-+                                                     | Stream Count  |     +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+     | Coupled Count | Demixing Matrix                               :     +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+       Figure 4: Channel Mapping Table for Channel Mapping Family 3Skoglund & Graczyk           Standards Track                    [Page 4]

RFC 8486                     Opus Ambisonics                October 2018   The fields in the channel mapping table have the following meaning:   1.  Stream Count "N" (8 bits, unsigned):       This is the total number of streams encoded in each Ogg packet.   2.  Coupled Stream Count "M" (8 bits, unsigned):       This is the number of the N streams whose decoders are to be       configured to produce two channels (stereo).   3.  Demixing Matrix (16*K*C bits, signed):       The coefficients of the demixing matrix stored in column-major       order as 16-bit, signed, two's complement fixed-point values with       15 fractional bits (Q15), little endian.  If needed, the output       gain field can be used for a normalization scale.  For mixed-       order Ambisonic representations, the silent ACN channels are       indicated by all zeros in the corresponding rows of the mixing       matrix.  This also allows for mixed order with non-diegetic       stereo as the number of columns implies the presence of non-       diegetic channels.   Note that [RFC7845] specifies that the identification header cannot   exceed one "page", which is 65,025 octets.  This limits the Ambisonic   order, which then MUST be lower than 12, if full order is utilized   and the number of coded streams is the same as the Ambisonic order   plus the two non-diegetic channels.  The total output channel number,   C, MUST be set in the third field of the identification header.3.3.  Allowed Numbers of Channels   For both channel mapping families 2 and 3, the allowed numbers of   channels are (1 + n)^2 + 2j for n = 0, 1, ..., 14 and j = 0 or 1,   where n denotes the (highest) Ambisonic order and j denotes whether   or not there is a separate non-diegetic stereo stream.  This   corresponds to periphonic Ambisonics from zeroth to fourteenth order   plus potentially two channels of non-diegetic stereo.  Explicitly,   the allowed number of channels are 1, 3, 4, 6, 9, 11, 16, 18, 25, 27,   36, 38, 49, 51, 64, 66, 81, 83, 100, 102, 121, 123, 144, 146, 169,   171, 196, 198, 225, and 227.  Note again that if full Ambisonic order   is used and the number of coded streams is the same as the Ambisonic   order plus the two non-diegetic channels, the order must then be   lower than 12, due to the identification header length limit.Skoglund & Graczyk           Standards Track                    [Page 5]

RFC 8486                     Opus Ambisonics                October 20184.  Downmixing   The downmixing matrices in this section are only examples known to   give acceptable results for stereo downmixing from Ambisonics, but   other mixing strategies will be allowed, e.g., to emphasize a certain   panning.   An Ogg Opus player MAY use the matrix in Figure 5 to implement   downmixing from multichannel files using channel mapping families 2   and 3 when there is no non-diegetic stereo.  The first and second   Ambisonic channels are known as "W" and "Y", respectively.  The   omitted coefficients in the matrix in the figure have the value 0.0.                   /   \   /                  \ /     \                   | L |   | 0.5  0.5 0.0 ... | |  W  |                   | R | = | 0.5 -0.5 0.0 ... | |  Y  |                   \   /   \                  / | ... |                                                \     /   Figure 5: Stereo Downmixing Matrix for Channel Mapping Families 2 and                        3 - Only Ambisonic Channels   The first Ambisonic channel (W) is a mono audio stream that   represents the average audio signal over all directions.  Since W is   not directional, Ogg Opus players MAY use W directly for mono   playback.   If a non-diegetic stereo track is present, the player MAY use the   matrix in Figure 6 for downmixing.  Ls and Rs denote the two non-   diegetic stereo channels.              /   \   /                            \  /     \              | L |   | 0.25  0.25 0.0 ... 0.5 0.0 |  |  W  |              | R | = | 0.25 -0.25 0.0 ... 0.0 0.5 |  |  Y  |              \   /   \                            /  | ... |                                                      |  Ls |                                                      |  Rs |                                                      \     /   Figure 6: Stereo Downmixing Matrix for Channel Mapping Families 2 and         3 - Ambisonic Channels Plus a Non-Diegetic Stereo StreamSkoglund & Graczyk           Standards Track                    [Page 6]

RFC 8486                     Opus Ambisonics                October 20185.  Updates toRFC 78455.1.  Format of the Channel Mapping Table   The language inSection 5.1.1 of [RFC7845] (copied below) implies   that the channel mapping table, when present, has a fixed format for   all channel mapping families:      The order and meaning of these channels are defined by a channel      mapping, which consists of the 'channel mapping family' octet and,      for channel mapping families other than family 0, a 'channel      mapping table', as illustrated in Figure 3.   This document updates [RFC7845] to clarify that the format of the   channel mapping table may depend on the channel mapping family:      The order and meaning of these channels are defined by a channel      mapping, which consists of the 'channel mapping family' octet and      for channel mapping families other than family 0, a 'channel      mapping table'.      The format of the channel mapping table depends on the channel      mapping family.  Unless the channel mapping family requires a      custom format for its channel mapping table, the RECOMMENDED      channel mapping table format for new mapping families is      illustrated in Figure 3.   The change above is not meant to change how families 1 and 255   currently work.  To ensure that, the first paragraph ofSection 5.1.1.2 is changed from:      Allowed numbers of channels: 1...8.  Vorbis channel order (see      below).   to:      Allowed numbers of channels: 1...8, with the mapping specified      according to Figure 3.  Vorbis channel order (see below).   Similarly, the first paragraph ofSection 5.1.1.3 is changed from:      Allowed numbers of channels: 1...255.  No defined channel meaning.   to:      Allowed numbers of channels: 1...255, with the mapping specified      according to Figure 3.  No defined channel meaning.Skoglund & Graczyk           Standards Track                    [Page 7]

RFC 8486                     Opus Ambisonics                October 20185.2.  Unknown Mapping Families   The treatment of unknown mapping families is changed slightly.Section 5.1.1.4 of [RFC7845] states:      The remaining channel mapping families (2...254) are reserved.  A      demuxer implementation encountering a reserved 'channel mapping      family' value SHOULD act as though the value is 255.   This is changed to:      The remaining channel mapping families (2...254) are reserved.  A      demuxer implementation encountering a 'channel mapping family'      value that it does not recognize SHOULD NOT attempt to decode the      packets and SHOULD NOT use any information except for the first 19      octets of the ID header packet (Figure 2) and the comment header      (Figure 10).6.  Experimental Mapping Families   To make development of new mapping families easier while reducing the   risk of creating compatibility issues with non-final versions of   mapping families, mapping families 240 through 254 (inclusively) are   now reserved for experiments and implementations of in-development   families.  Note that these mapping-family experiments are not   restricted to Ambisonics.  Implementers SHOULD attempt to use   experimental family numbers that have not recently been used and   SHOULD advertise what experimental numbers they use (e.g., for   Internet-Drafts).   The Ambisonics mapping experiments that led to this document used   experimental family 254 for family 2 and experimental family 253 for   family 3.7.  Security Considerations   Implementations of the Ogg container need to take appropriate   security considerations into account, as outlined inSection 8 of   [RFC7845].  The extension defined in this document requires that   semantic meaning be assigned to more channels than the existing Ogg   format requires.  Since more allocations will be required to encode   and decode these semantically meaningful channels, care should be   taken in any new allocation paths.  Implementations MUST NOT overrun   their allocated memory nor read from uninitialized memory when   managing the Ambisonic channel mapping.Skoglund & Graczyk           Standards Track                    [Page 8]

RFC 8486                     Opus Ambisonics                October 20188.  IANA Considerations   IANA has added 17 new assignments to the "Opus Channel Mapping   Families^a registry.   +---------+----------------------+----------------------------------+   | Value   | Description          | Reference                        |   +---------+----------------------+----------------------------------+   | 0       | Mono, L/R stereo     |Section 5.1.1.1 of [RFC7845],    |   |         |                      |Section 5 of this document       |   |         |                      |                                  |   | 1       | 1-8 channel surround |Section 5.1.1.2 of [RFC7845],    |   |         |                      |Section 5 of this document       |   |         |                      |                                  |   | 2       | Ambisonics as        |Section 3.1 of this document     |   |         | individual channels  |                                  |   |         |                      |                                  |   | 3       | Ambisonics with      |Section 3.2 of this document     |   |         | demixing matrix      |                                  |   |         |                      |                                  |   | 240-254 | Experimental use     |Section 6 of this document       |   |         |                      |                                  |   | 255     | Discrete channels    |Section 5.1.1.3 of [RFC7845],    |   |         |                      |Section 5 of this document       |   +---------+----------------------+----------------------------------+9.  References9.1.  Normative References   [ambix]    Nachbar, C., Zotter, F., Deleflie, E., and A. Sontacchi,              "AMBIX - A SUGGESTED AMBISONICS FORMAT",              Ambisonics Symposium, June 2011,              <http://iem.kug.ac.at/fileadmin/media/iem/projects/2011/ambisonics11_nachbar_zotter_sontacchi_deleflie.pdf>.   [RFC2119]  Bradner, S., "Key words for use in RFCs to Indicate              Requirement Levels",BCP 14,RFC 2119,              DOI 10.17487/RFC2119, March 1997,              <https://www.rfc-editor.org/info/rfc2119>.   [RFC6716]  Valin, JM., Vos, K., and T. Terriberry, "Definition of the              Opus Audio Codec",RFC 6716, DOI 10.17487/RFC6716,              September 2012, <https://www.rfc-editor.org/info/rfc6716>.   [RFC7845]  Terriberry, T., Lee, R., and R. Giles, "Ogg Encapsulation              for the Opus Audio Codec",RFC 7845, DOI 10.17487/RFC7845,              April 2016, <https://www.rfc-editor.org/info/rfc7845>.Skoglund & Graczyk           Standards Track                    [Page 9]

RFC 8486                     Opus Ambisonics                October 2018   [RFC8174]  Leiba, B., "Ambiguity of Uppercase vs Lowercase inRFC2119 Key Words",BCP 14,RFC 8174, DOI 10.17487/RFC8174,              May 2017, <https://www.rfc-editor.org/info/rfc8174>.9.2.  Informative References   [daniel04] Daniel, J. and S. Moreau, "Further Study of Sound Field              Coding with Higher Order Ambisonics", Audio Engineering              Society Convention Paper, May 2004,              <https://www.researchgate.net/publication/277841868_Further_Study_of_Sound_Field_Coding_with_Higher_Order_Ambisonics>.   [fellgett75]              Fellgett, P., "Ambisonics. Part one: General system              description", Studio Sound vol. 17, no. 8, pp. 20-22,              August 1975,              <http://www.michaelgerzonphotos.org.uk/articles/Ambisonics%201.pdf>.Acknowledgments   Thanks to Timothy Terriberry, Jean-Marc Valin, Mark Harris, Marcin   Gorzel, and Andrew Allen for their guidance and valuable   contributions to this document.Authors' Addresses   Jan Skoglund   Google LLC   345 Spear Street   San Francisco, CA  94105   United States of America   Email: jks@google.com   Michael Graczyk   Email: michael@mgraczyk.comSkoglund & Graczyk           Standards Track                   [Page 10]

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