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

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Pythagorean
Pythagorean on 14 Dec 2020
Commented: Rik on 13 Jan 2021
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!

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