Align OAMD metadata delay with decoder output

docs/math.en.md

@@ -499,16 +499,26 @@ s_{\mathrm{frame}}
 +32f_{\mathrm{block}}.
 $$
 
-For processing-block length $B=32$, the aligned update point is
+The theoretical update position on the decoder-output PCM timeline is
+
+$$
+s_{\mathrm{theoretical}}
+=s_{\mathrm{coded}}+d_{\mathrm{decoder}},
+\qquad d_{\mathrm{decoder}}=1473.
+$$
+
+The speaker renderer retains the existing processing-block length $B=32$, so the aligned update point is
 
 $$
 \widehat s
 =
 B\left\lfloor
-\frac{s_{\mathrm{coded}}+B/2-1}{B}
+\frac{s_{\mathrm{theoretical}}+B/2-1}{B}
 \right\rfloor.
 $$
 
+Thus, for frame-aligned updates, `align32(1473)=1472`. The 1473 value is the theoretical decoder delay at the metadata interface; 1472 is its effective boundary in the current 32-sample control block. The 640-value inverse-QMF window/state is not part of this metadata-timing formula.
+
 For ramp duration $D$, the number of blocks is
 
 $$

docs/math.md

@@ -499,16 +499,26 @@ s_{\mathrm{frame}}
 +32f_{\mathrm{block}}.
 $$
 
-对处理块长度 $B=32$，更新点对齐为
+decoder 输出 PCM timeline 上的理论更新位置为
+
+$$
+s_{\mathrm{theoretical}}
+=s_{\mathrm{coded}}+d_{\mathrm{decoder}},
+\qquad d_{\mathrm{decoder}}=1473.
+$$
+
+扬声器 renderer 保留现有的处理块长度 $B=32$，更新点对齐为
 
 $$
 \widehat s
 =
 B\left\lfloor
-\frac{s_{\mathrm{coded}}+B/2-1}{B}
+\frac{s_{\mathrm{theoretical}}+B/2-1}{B}
 \right\rfloor.
 $$
 
+因此，对 frame-aligned 更新有 `align32(1473)=1472`。1473 是 metadata interface 的理论 decoder delay；1472 是当前 32-sample control block 中的有效边界。inverse-QMF 使用的 640 项 window/state 不属于这条 metadata timing 公式。
+
 给定 ramp duration $D$，block 数为
 
 $$