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Timeline for Oversampled polyphase filter banks

Current License: CC BY-SA 3.0

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Jan 6, 2016 at 21:41 comment added Laurent Duval I have added a few book that I found interesting on FBs and polyphase
Jan 6, 2016 at 21:40 history edited Laurent Duval CC BY-SA 3.0
added reference books
Jan 6, 2016 at 21:30 comment added Laurent Duval Polyphase behave like a subsampling of filter coefficients by $N$. So you have the subsequences $0, N, 2N...$, $1, N+1, 2N+1...$ up to $N-1,2N-1, ...$, hence $(N-1)-0+1$ polyphase component per filter. The polyphase size does not depend on the filter size, which is one of its main advantages.
Jan 6, 2016 at 21:04 comment added Ste3191 Ok i didn't understand well. Thanks. I have another doubt .(, having M channels, N decimation factor and polyphase structure. In all documents, the analysis polyphase matrix is MxN. But Why? If the prototype filter H0 has length L, the matrix should have M x L/M, or not? Namely, for me each row of this matrix represents one polyphase component of length L/M. Where do i wrong?
Jan 6, 2016 at 20:51 history edited Laurent Duval CC BY-SA 3.0
detailed the answer
Jan 6, 2016 at 19:35 comment added Laurent Duval I understand the chapter as "In this section [...] the polyphase structure is limited primarily to the critically sampled case where $M = K$ or to cases when $MI = K$, where $I$ is an integer". Sooner, they say that "This realization is most easily seen for the case of critically sampled filter banks where $M = K$. Designs for other choices of $M$ (or $K$) are not as straightforward as the critically sampled case". Primarily is important here. It does not mean it is impossible
Jan 6, 2016 at 10:22 comment added Ste3191 1st edition, page 325 where talks about comparision between polyphase and wola.
Jan 5, 2016 at 23:09 comment added Ste3191 Thanks! It's awesome paper! I don't Know why the book of Crochiere "Multirate Digital Signal Processing" says only integer oversampling ratio..
Jan 5, 2016 at 22:16 history answered Laurent Duval CC BY-SA 3.0