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Nov 30, 2020 at 3:44 comment added robert bristow-johnson why can't the $h[n]$ be an odd length (which is even order)? i think the OP means for $g[n]=1-h[n]$ with all of the delays lined up. isn't that what is normally done with this filterbank approach?
Nov 29, 2020 at 23:33 comment added TimWescott I'm pretty sure that they don't exist, but you may want to do a deep dive into wavelets and see if there's such a thing as an odd-length one. The reason the filters associated with wavelets are even-length is because those filters pretty much are the wavelets, and wavelets tend to be $2^N$ long. I don't know if an odd-length wavelet transform can be implemented, but if it can it's probably out there.
Nov 29, 2020 at 23:32 history answered TimWescott CC BY-SA 4.0