Perfect reconstruction linear phase FIR filterbank for audio without reconstruction filterbank?

Question

Pythagorean 2020-12-14

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/693035-perfect-reconstruction-linear-phase-fir-filterbank-for-audio-without-reconstruction-filterbank

评论： Rik 2021-1-13

I want to make a perfect reconstruction linear phase FIR filterbank for audio that does not need a reconstruction filter bank.

Does anybody know the theory behind this? When I search I keep coming across filter bank designs which use analysis and reconstruction filters.

I know it must be possible to create a filter bank where you simply run the audio through the filterbank and then sum the inidividual bands again to get perfect reconstruction. Similar to a 2 channel Linkwitz-Riley crossover filter, only then for many subbands.

I know the octaveFilterBank can come close, but it doesn't give true perfect reconstruction and it's not linear phase.

Any help / pointers on how to create such a filter bank in Matlab are greatly appreciated!