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Information-theoretic performance of quadrature mirror filters

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2 Author(s)
Divakaran, A. ; Iterated Syst. Inc., Atlanta, GA, USA ; Pearlman, W.A.

Most existing quadrature mirror filters (QMFs) closely match the derived closed-form expression for an efficient class of QMFs. We use the closed-form expressions to derive the relationship between information-theoretic loss and the frequency selectivity of the QMF, by calculating first-order entropy as well as rate-distortion theoretic performance of a two band QMF system. We find that practical QMFs do not suffer a significant information-theoretic loss with first-order autoregressive Gaussian sources. With second-order autoregressive sources we find that practical QMFs suffer a notable information-theoretic loss when the bandwidth of the source is extremely narrow, but incur a small loss when the bandwidth is wider. We suggest that our results broadly apply to higher order autoregressive sources as well

Published in:

Information Theory, IEEE Transactions on  (Volume:41 ,  Issue: 6 )