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Hopping Polyphase Filter Bank

When $ 1<R<N$ and $ R$ divides $ N$ , we have, by a similar analysis,

$\displaystyle {\hat x}(n) \eqsp \frac{N}{R} x(n-N+1)$ (12.58)

which is again perfect reconstruction. Note the built-in overlap-add when $ R<N$ .

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``Spectral Audio Signal Processing'', by Julius O. Smith III, W3K Publishing, 2011, ISBN 978-0-9745607-3-1.
Copyright © 2022-02-28 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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