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Optimum pre- and postfilters for quantization

Tuqan, Jamal and Vaidyanathan, P. P. (1996) Optimum pre- and postfilters for quantization. In: IEEE International Symposium on Circuits and Systems (ISCAS '96), 'Connecting the World', Atlanta, May 1996. Vol.2. IEEE , Piscataway, NJ, pp. 461-464. ISBN 0780330730.

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We consider the optimization of pre- and post filters surrounding a uniform quantizer such that the mean square error due to quantization is minimized. Unlike some previous work, the postfilter is not restricted to be the inverse of the prefilter. With no order constraint on the filters, we present closed form solutions for the optimum pre- and post filters. Using these optimum solutions, we obtain a coding gain expression for the system under study. We then repeat the same analysis with first order pre- and post filters in the form 1+αz^-1 and 1/(1+γz^-1) providing some examples where we compare coding gain performance with the case of α=γ.

Item Type:Book Section
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Vaidyanathan, P. P.0000-0003-3003-7042
Additional Information:© Copyright 1996 IEEE. Publication Date: 12-15 May 1996.
Subject Keywords:FIR filters; IIR filters; filtering theory; optimization; quantization (signal); closed form solutions; coding gain performance; mean square error; optimum postfilter; optimum prefilter; uniform quantizer
Record Number:CaltechAUTHORS:TUQiscas96
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10793
Deposited On:11 Jun 2008
Last Modified:08 Nov 2021 21:11

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