From 3455bc025888b5358c93e26660e904a06b968672 Mon Sep 17 00:00:00 2001 From: Felicia Lim Date: Mon, 21 Aug 2023 11:54:47 -0700 Subject: [PATCH] Define p closer to equations, remove periods after equations --- index.bs | 26 +++++++++++++------------- 1 file changed, 13 insertions(+), 13 deletions(-) diff --git a/index.bs b/index.bs index 942084be..0955ff63 100644 --- a/index.bs +++ b/index.bs @@ -2390,9 +2390,9 @@ This specification RECOMMENDs dynamic down-mixing matrices generated by the down This section provides RECOMMENDED static down-mix matrices to render to 3.1.2ch from 5.1.2ch, 5.1.4ch, 7.1.2ch, and 7.1.4ch. -In all the matrices below, \(p = 0.707\). Implementations MAY use a limiter defined in [[#processing-post-limiter]] to preserve the energy of audio signals instead of using normalization factors. +Implementations MAY use a limiter defined in [[#processing-post-limiter]] to preserve the energy of audio signals instead of using normalization factors. -The 3.1.2ch down-mix matrix for 5.1.2ch is: +The 3.1.2ch down-mix matrix for 5.1.2ch is given below, where \(p = 0.707\). \[ \begin{bmatrix} @@ -2422,10 +2422,10 @@ The 3.1.2ch down-mix matrix for 5.1.2ch is: \text{Ltf2} \\ \text{Rtf2} \\ \text{LFE} -\end{bmatrix}. +\end{bmatrix} \] -The 3.1.2ch down-mix matrix for 5.1.4ch is: +The 3.1.2ch down-mix matrix for 5.1.4ch is given below, where \(p = 0.707\). \[ \begin{bmatrix} @@ -2457,10 +2457,10 @@ The 3.1.2ch down-mix matrix for 5.1.4ch is: \text{Ltb} \\ \text{Rtb} \\ \text{LFE} -\end{bmatrix}. +\end{bmatrix} \] -The 3.1.2ch down-mix matrix for 7.1.2ch is: +The 3.1.2ch down-mix matrix for 7.1.2ch is given below, where \(p = 0.707\). \[ \begin{bmatrix} @@ -2494,10 +2494,10 @@ The 3.1.2ch down-mix matrix for 7.1.2ch is: \text{Ltf2} \\ \text{Rtf2} \\ \text{LFE} -\end{bmatrix}. +\end{bmatrix} \] -The 3.1.2ch down-mix matrix for 7.1.4ch is: +The 3.1.2ch down-mix matrix for 7.1.4ch is given below, where \(p = 0.707\). \[ \begin{bmatrix} @@ -2531,7 +2531,7 @@ The 3.1.2ch down-mix matrix for 7.1.4ch is: \text{Ltf2} \\ \text{Rtf2} \\ \text{LFE} -\end{bmatrix}. +\end{bmatrix} \] @@ -2971,7 +2971,7 @@ For a given channel-based input audio and the list of CLs ({CL #i: i = 1, 2, ... - If Ti-1 = 0, the top channels of the [=down-mixed audio=] for CL #i are contained in this [=Channel Group=] #i. - If Ti-1 = 2, the Ltf and Rtf channels of the [=down-mixed audio=] for CL #i are contained in this [=Channel Group=] #i. -An example of a transformation matrix with 4 CGs (2ch/3.1.2ch/5.1.2ch/7.1.4ch) is given below: +An example of a transformation matrix with 4 CGs (2ch/3.1.2ch/5.1.2ch/7.1.4ch) is given below, where \(p = 0.707\). \[ \begin{array}{c} @@ -3032,8 +3032,8 @@ An example of a transformation matrix with 4 CGs (2ch/3.1.2ch/5.1.2ch/7.1.4ch) i \end{bmatrix} = \begin{bmatrix} - 1 & p_2 & 0 & \delta(k) \ast \alpha(k) & 0 & \delta(k) \ast \beta(k) & 0 & 0 & 0 & 0 & 0 & 0 \\ - 0 & p_2 & 1 & 0 & \delta(k) \ast \alpha(k) & 0 & \delta(k) \ast \beta(k) & 0 & 0 & 0 & 0 & 0 \\ + 1 & p & 0 & \delta(k) \ast \alpha(k) & 0 & \delta(k) \ast \beta(k) & 0 & 0 & 0 & 0 & 0 & 0 \\ + 0 & p & 1 & 0 & \delta(k) \ast \alpha(k) & 0 & \delta(k) \ast \beta(k) & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & w(k) \ast \delta(k) \ast \alpha(k) & 0 & w(k) \ast \delta(k) \ast \beta(k) & 0 & 1 & 0 & \gamma(k) & 0 & 0 \\ 0 & 0 & 0 & 0 & w(k) \ast \delta(k) \ast \alpha(k) & 0 & w(k) \ast \delta(k) \ast \beta(k) & 0 & 1 & 0 & \gamma(k) & 0 \\ @@ -3059,5 +3059,5 @@ An example of a transformation matrix with 4 CGs (2ch/3.1.2ch/5.1.2ch/7.1.4ch) i \text{Ltb} \\ \text{Rtb} \\ \text{LFE} - \end{bmatrix}. + \end{bmatrix} \]