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Basic Idea

The basic idea is to partition FFT bins into the desired nonuniform bands, and perform smaller inverse FFTs on each subband to synthesize downsampled time-domain signals in each band. A simple example for a length 8 FFT octave filter bank is shown in Fig.10.30. We'll next extend this example to a practically useful level via a series of tutorially oriented matlab examples.

Figure: FFT implementation of one frame of the simple octave filter bank shown in Fig.10.31. Successive frames are non-overlapping (rectangular window advances its full length each frame).
\includegraphics[width=0.8\twidth]{eps/fft8}


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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