User:Hkato111

メインページお知らせ



\int_b^a wikia = \left( \frac{\left(wikicities\right) \times memory alpha}{mediawiki} \right) $$

MP3 ポリフェーズフィルタバンク　完全再構成の証明

$p(t)$を時間$t$での入力離散信号の値とし、$t<0$では$p(t)=0$とする.

また$S_{k}(t)$(サブバンド分析フィルタと呼ばれる)は以下の式で定義する.



S_{k}(t)= \sum_{n=0}^{511} p(t-n)F_{k}(n) \nonumber \\ $$



= \sum_{n=0}^{511} p(t-n)h(n)M(k,n) \nonumber \\ $$

= \sum_{n=0}^{511} p(t-n)h(n)cos( \frac{(2k+1)(n-16)* \pi }{64} ) ~ k=0,...,31 \\ h(n)=-C(n) ~ when~integer~part~of~ \frac{n}{64} is~odd \nonumber \\ C(n) ~ when~integer~part~of~ \frac{n}{64} is~even \nonumber \\ C(n)~is~shown~at~the~below $$



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