Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published May 1, 1996 | public
Journal Article Open

On optimal analysis/synthesis filters for coding gain maximization

Abstract

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.

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.

Files

DJOieeetsp96.pdf
Files (439.5 kB)
Name Size Download all
md5:58db4187bb3b711129e8da15f5423e6f
439.5 kB Preview Download

Additional details

Created:
August 22, 2023
Modified:
October 16, 2023