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Polyphase networks, block digital filtering, LPTV systems, and alias-free QMF banks: a unified approach based on pseudocirculants

Vaidyanathan, P. P. and Mitra, Sanjit K. (1988) Polyphase networks, block digital filtering, LPTV systems, and alias-free QMF banks: a unified approach based on pseudocirculants. IEEE Transactions on Acoustics, Speech, and Signal Processing, 36 (3). pp. 381-391. ISSN 0096-3518. http://resolver.caltech.edu/CaltechAUTHORS:VAIieeetassp88c

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Abstract

The relationship between block digital filtering and quadrature mirror filter (QMF) banks is explored. Necessary and sufficient conditions for alias cancellation in QMF banks are expressed in terms of an associated matrix, derived from the polyphase components of the analysis and synthesis filters. These conditions, called the pseudocirculant conditions, make it possible to unite QMF banks with the framework of block digital filtering directly. Absence of amplitude distortion in an alias-free QMF bank translates into the 'losslessness' property of the pseudocirculant matrix involved.


Item Type:Article
Additional Information:© Copyright 1988 IEEE. Reprinted with permission. Manuscript received May 18, 1987; revised September 18, 1987. This work was supported in part by the National Science Foundation under Grants DCI 855-2579 and DCI 850-8017 with matching funds from GEC and Pacific Bell, in part by Caltech’s Programs in Advanced Technology Grant sponsored by Aerojet General, General Motors, GTE, and TRW, and in part by the National Science Foundation under Grant MIP 8604456.
Subject Keywords:digital filters; filtering and prediction theory; matrix algebra
Record Number:CaltechAUTHORS:VAIieeetassp88c
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:VAIieeetassp88c
Alternative URL:http://dx.doi.org/10.1109/29.1535
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5488
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:20 Oct 2006
Last Modified:26 Dec 2012 09:13

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