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STFT, Rectangular Window, No Overlap

This is the main critically sampled perfect-reconstruction filter bank implemented by an STFT (other examples involve Portnoff windows, §9.7). ``Filter-bank modifications'' here means modifications introduced as time-varying complex gains applied to the filter-bank channel signals prior to remodulation and summing to reconstruct the signal (Chapter 9). In contrast to this, as discussed in Chapter 8, multiplicative spectral modifications in overlap-add systems having sufficient time-domain zero-padding yield perfect reconstruction of the filtered signal, even when their filter-bank interpretation obviously involves aliasing cancellation among channels in the frequency domain.


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``Spectral Audio Signal Processing'', by Julius O. Smith III, W3K Publishing, 2011, ISBN 978-0-9745607-3-1.
Copyright © 2016-07-18 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
CCRMA