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. doi:10.1109/29.1535. https://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 | ||||||
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| 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 | ||||||
| Issue or Number: | 3 | ||||||
| DOI: | 10.1109/29.1535 | ||||||
| Record Number: | CaltechAUTHORS:VAIieeetassp88c | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:VAIieeetassp88c | ||||||
| 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: | 08 Nov 2021 20:26 |
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