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On optimal analysis/synthesis filters for coding gain maximization

Djokovic, Igor and Vaidyanathan, P. P. (1996) On optimal analysis/synthesis filters for coding gain maximization. IEEE Transactions on Signal Processing, 44 (5). pp. 1276-1279. ISSN 1053-587X. doi:10.1109/78.502341.

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We consider the use of pre and postfilters in conjunction with M-channel, uniform-band paraunitary (orthonormal) filter banks. We show that given any orthonormal filter bank, the pre and postfilters that maximize the coding gain are determined entirely by the power spectrum of the input process regardless of the details of the orthonormal filter blank (which could be FIR, IIR, or even the ideal brickwall filter bank). The optimized coding gain, however, depends on the prefilter as well as the sandwiched orthonormal filter bank. The coding gain improvement due to pre- and postfiltering is often significant as we demonstrate with numerical examples and comparisons. The validity of our results depends strongly on the orthonormality property of the filter bank in between the pre and postfilters. In the nonorthonormal case, most of these results are not true, as is demonstrated.

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Vaidyanathan, P. P.0000-0003-3003-7042
Additional Information:© Copyright 1996 IEEE. Reprinted with permission. Manuscript received November 28, 1993; revised July 11, 1995. This work was supported by the National Science Foundation under Grant MIP 9215785, by Tektronix, Inc., and by Rockwell International. The associate editor coordinating the review of this work and approving it for publication was Prof. Banu Onaral.
Subject Keywords:band-pass filters; channel coding; circuit optimisation; encoding; filtering theory; signal synthesis; spectral analysis
Issue or Number:5
Record Number:CaltechAUTHORS:DJOieeetsp96
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3084
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Deposited On:15 May 2006
Last Modified:08 Nov 2021 19:53

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