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Fix #768, Improve scalable channel group and layer text
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@sunghee-hwang
sunghee-hwang committed Nov 28, 2023
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Expand Up @@ -697,34 +697,7 @@ audio_element_type: The type of audio representation.

<dfn noexport>num_substreams</dfn> specifies the number of [=Audio Substream=]s that are used to reconstruct this [=Audio Element=]. It SHALL NOT be set to 0.

<dfn noexport for="audio_element_obu">audio_substream_id</dfn> indicates the identifier for an [=Audio Substream=] which this [=Audio Element=] refers to.

Let a particular [=Channel Group=]'s [=Audio Substream=]s be indexed as \(\left[c, n_c\right]\), where a [=Channel Group=] format is described in [[#scalablechannelaudio-channelgroupformat]] and
- \(c = \left[1, \ldots, C\right]\) is the [=Channel Group=] index and \(C\) is the number of [=Channel Group=]s.
- \(n_c = \left[1, \ldots, N_c\right]\) is the [=Audio Substream=] index in the \(c\)-th [=Channel Group=] and \(N_c\) is the number of [=Audio Substream=]s in the \(c\)-th [=Channel Group=].

Then, the i-th [=audio_element_obu/audio_substream_id=] maps to a [=Channel Group=]'s [=Audio Substream=]s as follows, where i is the index of the array:

\[
\left[
\left[ 1, 1 \right],
\left[ 1, 2 \right],
\cdots,
\left[ 1, N_1 \right],
\left[ 2, 1 \right],
\left[ 2, 2 \right],
\cdots,
\left[ 2, N_2 \right],
\cdots,
\left[ C, 1 \right],
\left[ C, 2 \right],
\cdots,
\left[ C, N_c \right]
\right]
\]

The order of the [=Audio Substream=]s in each [=Channel Group=] (i.e., the semantics of \(n_c\)) is specified in [[#syntax-scalable-channel-layout-config]].

<dfn noexport for="audio_element_obu">audio_substream_id</dfn> indicates the identifier for an [=Audio Substream=] which this [=Audio Element=] refers to. When [=audio_element_type=] is CHANNEL_BASED, the ordering of [=audio_element_obu/audio_substream_id=]s within this loop SHALL comply with [[#scalablechannelaudio-orderingofaudiosubstreamidentifiers]].

<dfn noexport>num_parameters</dfn> specifies the number of [=Parameter Substream=]s that are used by the algorithms specified in this [=Audio Element=].
- When [=audio_element_type=] = 0, this field SHALL be set to 0, 1, or 2.
Expand Down Expand Up @@ -910,25 +883,6 @@ class ChannelAudioLayerConfig(i) {
}
```

When an [=Audio Element=] is composed of \(G(r)\) number of [=Audio Substream=]s, its scalable channel audio representation is layered into \(r\) [=num_layers=] of [=Channel Group=]s.


- The order of the [=Channel Group=]s in each [=Temporal Unit=] SHALL be same as the order of the [=channel_audio_layer_config=]s in [=ScalableChannelLayoutConfig()=].
- The \(q\)-th [=Channel Group=] consists of \(G(q) - G(q - 1)\) number of [=Audio Substream=]s, where \(q = 1, 2, \ldots, r\) and \(G(0) = 0\).
- Let the term "Audio Frames" mean the set of all [=Audio Frame OBU=]s (for this [=Audio Element=]) that have the same start timestamp. All Audio Frames in an [=IA Sequence=] SHALL have the same number of [=Audio Frame OBU=]s.
- [=Parameter Block OBU=]s MAY be associated with Audio Frames.

<center><img src="images/Immersive Audio Sequence with scalable channel audio (before OBU packing).png" style="width:100%; height:auto;"></center>
<center><figcaption>Immersive Audio Sequence with scalable channel audio (before OBU packing). See [[#standalone]] for related details on OBU ordering within an IA Sequence.</figcaption></center>


Each [=Channel Group=] (or scalable channel audio layer) is associated with a different [=loudspeaker_layout=]. The IA decoder SHALL select one of the layers according to the following rules, in order:

- The IA decoder SHOULD first attempt to select the layer with a [=loudspeaker_layout=] that matches the physical playback layout.
- If there is no match, the IA decoder SHOULD select the layer with the closest [=loudspeaker_layout=] to the physical layout and then apply up- or down-mixing appropriately, after decoding and reconstruction of the channel audio. Sections [[#iamfgeneration-scalablechannelaudio-downmixmechanism]] and [[#processing-downmixmatrix]] provide examples of dynamic and static down-mixing matrices for some common layouts that MAY be used.

The relationship among all [=Channel Group=]s for the given scalable channel audio representation SHALL comply with [[#scalablechannelaudio-channelgroupformat]] and the relationship among all channel layouts indicated by [=loudspeaker_layout=]s specified in an [=Audio Element OBU=] SHALL comply with [[#scalablechannelaudio-channellayoutgenerationrule]].

<b>Semantics</b>

<dfn noexport>num_layers</dfn> indicates the number of [=Channel Group=]s for scalable channel audio. It SHALL NOT be set to zero and its maximum value SHALL be 6.
Expand Down Expand Up @@ -1029,35 +983,82 @@ Bit position : Channel Name

<dfn noexport>output_gain</dfn> indicates the gain value to be applied to the mixed channels which are indicated by [=output_gain_flags=], where each mixed channel is generated by down-mixing two or more input channels. It is computed as \(20 \times \log_{10}(f)\), where \(f\) is the factor by which to scale the mixed channels. It is stored as a 16-bit, signed, two’s complement fixed-point value with 8 fractional bits (i.e., Q7.8)([[Q-Format]]).

### Scalable Channel Group and Layout ### {#scalalechannelaudio-channelgroupandlayout}

When an [=Audio Element=] is composed of \(G(r)\) number of [=Audio Substream=]s, its scalable channel audio representation is layered into \(r\) [=num_layers=] of [=Channel Group=]s.
- The order of the [=Channel Group=]s in each [=Temporal Unit=] SHALL be same as the order of the [=channel_audio_layer_config=]s in [=ScalableChannelLayoutConfig()=].
- The \(q\)-th [=Channel Group=] consists of \(G(q) - G(q - 1)\) number of [=Audio Substream=]s, where \(q = 1, 2, \ldots, r\) and \(G(0) = 0\).
- Let the term "Audio Frames" mean the set of all [=Audio Frame OBU=]s (for this [=Audio Element=]) that have the same start timestamp. All Audio Frames in an [=IA Sequence=] SHALL have the same number of [=Audio Frame OBU=]s.
- [=Parameter Block OBU=]s MAY be associated with Audio Frames.

<center><img src="images/Immersive Audio Sequence with scalable channel audio (before OBU packing).png" style="width:100%; height:auto;"></center>
<center><figcaption>Immersive Audio Sequence with scalable channel audio (before OBU packing). See [[#standalone]] for related details on OBU ordering within an IA Sequence.</figcaption></center>


Each [=Channel Group=] (or scalable channel audio layer) is associated with a different [=loudspeaker_layout=]. The IA decoder SHALL select one of the layers according to the following rules, in order:

- The IA decoder SHOULD first attempt to select the layer with a [=loudspeaker_layout=] that matches the physical playback layout.
- If there is no match, the IA decoder SHOULD select the layer with the closest [=loudspeaker_layout=] to the physical layout and then apply up- or down-mixing appropriately, after decoding and reconstruction of the channel audio. Sections [[#iamfgeneration-scalablechannelaudio-downmixmechanism]] and [[#processing-downmixmatrix]] provide examples of dynamic and static down-mixing matrices for some common layouts that MAY be used.

The relationship among all [=Channel Group=]s for the given scalable channel audio representation SHALL comply with [[#scalablechannelaudio-channelgroupformat]] and the relationship among all channel layouts indicated by [=loudspeaker_layout=]s specified in an [=Audio Element OBU=] SHALL comply with [[#scalablechannelaudio-channellayoutgenerationrule]].

#### Channel Layout Generation Rule #### {#scalablechannelaudio-channellayoutgenerationrule}

This section describes the generation rule for channel layouts for scalable channel audio.

For a given channel layout (CL #n) of a channel-based input [=3D audio signal=], any list of CLs ({CL #i: i = 1, 2, ..., n}) for scalable channel audio SHALL conform with the following rules:
- Xi ≤ Xi+1 and Yi ≤ Yi+1 and Zi ≤ Zi+1 except Xi = Xi+1, Yi = Yi+1 and Zi = Zi+1 for i = n-1, n-2, ..., 1, where the i-th channel layout CL #i = Xi.Yi.Zi, Xi is the number of surround channels, Yi is the number of LFE channels, and Zi is the number of height channels.
- CL #i is one of the [=loudspeaker_layout=]s supported in this version of the specification.
For a given channel layout (\(CL \text{#}n\)) of a channel-based input [=3D audio signal=], any list of CLs (\({CL \text{#}i: i = 1, 2, \ldots, n}\)) for scalable channel audio SHALL conform with the following rules:
- \(\text{Xi} \le \text{Xi+1}\) and \(\text{Yi} \le \text{Yi+1}\) and \(\text{Zi} \le \text{Zi+1}\) except \(\text{Xi} = \text{Xi+1}\), \(\text{Yi} = \text{Yi+1}\) and \(\text{Zi} = \text{Zi+1}\) for \(i = n-1, n-2, \ldots, 1\), where the \(i\)-th channel layout \(CL \text{#}i = \text{Xi}.\text{Yi}.\text{Zi}\), \(\text{Xi}\) is the number of surround channels, \(\text{Yi}\) is the number of LFE channels, and \(\text{Zi}\) is the number of height channels.
- \(CL \text{#}i\) is one of the [=loudspeaker_layout=]s supported in this version of the specification.

Scalable channel audio with [=num_layers=] > 1 SHALL only allow down-mix paths that conform to the rules above, as depicted in the figure below.
Scalable channel audio with [=num_layers=] \(> 1\) SHALL only allow down-mix paths that conform to the rules above, as depicted in the figure below.

<center><img src="images/Down-mix Path.png" style="width:90%; height:auto;"></center>
<center><figcaption>IA Down-mix Path for scalable channel audio</figcaption></center>

#### Channel Group Format #### {#scalablechannelaudio-channelgroupformat}

The [=Channel Group=] format SHALL conform to the following rules:
- It consists of C number of channels and is structured to n number of [=Channel Group=]s, where C is the number of channels for the input [=3D audio signal=].
- [=Channel Group=] #1 (as called BCG): This [=Channel Group=] is the [=down-mixed audio=] itself for CL #1 generated from the input [=3D audio signal=]. It contains a C1 number of channels.
- [=Channel Group=] #i (as called DCG, i = 2, 3, …, n): This [=Channel Group=] contains (Ci – Ci-1) number of channels. (Ci – Ci-1) channel(s) consists of as follows:
- (Xi – Xi-1) surround channel(s) if Xi > Xi-1 . When \(S_{\text{set}} = \{x \mid \text{Xi}-1 < x \le \text{Xi}\} \) and \(x\) is an integer,
- If 2 is an element of \(S_{\text{set}}\), the L2 channel is contained in this CG #i.
- If 3 is an element of \(S_{\text{set}}\), the Center channel is contained in this CG #i.
- If 5 is an element of \(S_{\text{set}}\), the L5 and R5 channels are contained in this CG #i.
- If 7 is an element of \(S_{\text{set}}\), the Lss7 and Rss7 channels are contained in this CG #i.
- The LFE channel if Yi > Yi-1.
- (Zi - Zi-1) top channels if Zi > Zi-1.
- If Zi-1 = 0, the top channels of the [=down-mixed audio=] for CL #i are contained in this [=Channel Group=] #i.
- If Zi-1 = 2, the Ltf and Rtf channels of the [=down-mixed audio=] for CL #i are contained in this [=Channel Group=] #i.
- Where Xi.Yi.Zi denotes the channel layout in CL #i, where Xi is the number of surround channels, Yi is the number of LFE channels and Zi is the number of height channels.
- It consists of C number of channels and is structured to \(r\) number of [=Channel Group=]s, where \(C\) is the number of channels for the input [=3D audio signal=].
- [=Channel Group=] \(\text{#}1\) (as called BCG): This [=Channel Group=] is the [=down-mixed audio=] itself for \(CL \text{#}1\) generated from the input [=3D audio signal=]. It contains a \(C1\) number of channels.
- [=Channel Group=] \(\text{#}i\) (as called DCG, \(i = 2, 3, \ldots, n)\): This [=Channel Group=] contains (\(\text{Ci} – \text{Ci}-1)\) number of channels. \((\text{Ci} – \text{Ci}-1)\) channel(s) consists of as follows:
- \((\text{Xi} – \text{Xi-1})\) surround channel(s) if \(\text{Xi} > \text{Xi-1}\) . When \(S_{\text{set}} = \{x \mid \text{Xi-1} < x \le \text{Xi}\} \) and \(x\) is an integer,
- If 2 is an element of \(S_{\text{set}}\), the L2 channel is contained in this \(CG \text{#}i\).
- If 3 is an element of \(S_{\text{set}}\), the Center channel is contained in this \(CG \text{#}i\).
- If 5 is an element of \(S_{\text{set}}\), the L5 and R5 channels are contained in this \(CG \text{#}i\).
- If 7 is an element of \(S_{\text{set}}\), the Lss7 and Rss7 channels are contained in this \(CG \text{#}i\).
- The LFE channel if \(\text{Yi} > \text{Yi-1}\).
- \((\text{Zi} - \text{Zi-1})\) top channels if \(\text{Zi} > \text{Zi-1}\).
- If \(\text{Zi-1} = 0\), the top channels of the [=down-mixed audio=] for \(CL \text{#}i\) are contained in this [=Channel Group=] \(\text{#}i\).
- If \(\text{Zi-1} = 2\), the Ltf and Rtf channels of the [=down-mixed audio=] for \(CL \text{#}i\) are contained in this [=Channel Group=] \(\text{#}i\).
- Where \(\text{Xi}.\text{Yi}.\text{Zi}\) denotes the channel layout in \(CL \text{#}i\), where \(\text{Xi}\) is the number of surround channels, \(\text{Yi}\) is the number of LFE channels and \(\text{Zi}\) is the number of height channels.

#### Ordering of Audio Substream Identifers #### {#scalablechannelaudio-orderingofaudiosubstreamidentifiers}

Let a particular [=Channel Group=]'s [=Audio Substream=]s be indexed as \(\left[c, n_c\right]\), where a [=Channel Group=] format is described in [[#scalablechannelaudio-channelgroupformat]] and
- \(c\) is the [=Channel Group=] index, where \(c = 1, 2, \ldots, C\) and \(C\) is the number of [=Channel Group=]s.
- \(n_c\) is the [=Audio Substream=] index in the \(c\)-th [=Channel Group=], where \(n_c = 1, 2, \ldots, N_c\) and \(N_c\) is the number of [=Audio Substream=]s in the \(c\)-th [=Channel Group=].

Then, the i-th [=audio_element_obu/audio_substream_id=] maps to a [=Channel Group=]'s [=Audio Substream=]s as follows, where i is the index of the array:

\[
\left[
\left[ 1, 1 \right],
\left[ 1, 2 \right],
\cdots,
\left[ 1, N_1 \right],
\left[ 2, 1 \right],
\left[ 2, 2 \right],
\cdots,
\left[ 2, N_2 \right],
\cdots,
\left[ C, 1 \right],
\left[ C, 2 \right],
\cdots,
\left[ C, N_c \right]
\right]
\]

The order of the [=Audio Substream=]s in each [=Channel Group=] (i.e., the semantics of \(n_c\)) is specified in [[#syntax-scalable-channel-layout-config]].


### Ambisonics Config Syntax and Semantics ### {#syntax-ambisonics-config}
Expand Down

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