Show that a perfect reconstruction linear-phase filter bank with causal filters must be such that (H_{0}(z) H_{1}(-z))

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Show that a perfect reconstruction linear-phase filter bank with causal filters must be such that \(H_{0}(z) H_{1}(-z)\) has an odd number of coefficients and that all but one of its odd powers of \(z\) must be zero.

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Digital Signal Processing System Analysis And Design

ISBN: 9780521887755

2nd Edition

Authors: Paulo S. R. Diniz, Eduardo A. B. Da Silva , Sergio L. Netto

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