Why decimation and interpolation are performed simultaneously in QMF bank?

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Prof-Dr-Ahmed Al-Baidhani أ. د. احمد البيضاني

I think the following paper will be a good help to you in this regard:

Two-channel quadrature mirror filter bank: An overview

SK Agrawal, OP Sahu - ISRN Signal Processing, 2013 - downloads.hindawi.com

Atul Kumar Dwivedi

It describes that decimation reduces computational complexity but if interpolation is used immediately after decimation it will again increase computational complexity...