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Improved technique for design of perfect reconstruction FIR QMF banks with lossless polyphase matrices

Vaidyanathan, P. P. and Nguyen, Truong Q. and Doğanata, Zinnur and Saramäki, Tapio (1989) Improved technique for design of perfect reconstruction FIR QMF banks with lossless polyphase matrices. IEEE Transactions on Acoustics, Speech, and Signal Processing, 37 (7). pp. 1042-1056. ISSN 0096-3518. http://resolver.caltech.edu/CaltechAUTHORS:VAIieeetassp89

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Abstract

A technique is developed for the design of analysis filters in an M-channel maximally decimated, perfect reconstruction, finite-impulse-response quadrature mirror filter (FIR QMF) bank that has a lossless polyphase-component matrix E(z). The aim is to optimize the parameters characterizing E(z) until the sum of the stopband energies of the analysis filters is minimized. There are four novel elements in the procedure reported here. The first is a technique for efficient initialization of one of the M analysis filters, as a spectral factor of an Mth band filter. The factorization itself is done in an efficient manner using the eigenfilters approach, without the need for root-finding techniques. The second element is the initialization of the internal parameters which characterize E(z), based on the above spectral factor. The third element is a modified characterization, mostly free from rotation angles, of the FIR E(z). The fourth is the incorporation of symmetry among the analysis filters, so as to minimize the number of unknown parameters being optimized. The resulting design procedure always gives better filter responses than earlier ones (for a given filter length) and converges much faster


Item Type:Article
Additional Information:© Copyright 1989 IEEE. Repreinted with permission. Manuscript received May 30, 1988; revised November 25, 1988. This work was supported in part by the National Science Foundation under Grants DCI 8552579 and MIP 8604456.
Subject Keywords:digital filters; filtering and prediction theory; matrix algebra; spectral analysis
Record Number:CaltechAUTHORS:VAIieeetassp89
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:VAIieeetassp89
Alternative URL:http://dx.doi.org/10.1109/29.32282
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5489
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:20 Oct 2006
Last Modified:26 Dec 2012 09:13

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