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General synthesis procedures for FIR lossless transfer matrices, for perfect-reconstruction multirate filter bank applications

Doğanata, Zinnur and Vaidyanathan, P. P. and Nguyen, Truong Q. (1988) General synthesis procedures for FIR lossless transfer matrices, for perfect-reconstruction multirate filter bank applications. IEEE Transactions on Acoustics, Speech, and Signal Processing, 36 (10). pp. 1561-1574. ISSN 0096-3518. http://resolver.caltech.edu/CaltechAUTHORS:DOGieeetassp88

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Abstract

A recently reported procedure (see ibid., vol.ASSP-35, p.476-492, Apr. 1987 and Proc. IEEE Int. Conf. Acoust., Speech, Sig Processing, Apr. 1987, p.2169-2172) for the design of M-channel perfect-reconstruction quadrature mirror filter (QMF) bands uses the concept of lossless alias-component matrices. The synthesis of such QMF banks centers around the generation of a lossless M×M finite-impulse response (FIR) transfer matrix E(z). Recent results for such generation have been somewhat ad hoc, i.e. not sufficiently general. A general procedure is outlined for the generation of such transfer matrices. The procedure is based on a cascaded-lattice structure, derived from a state-space viewpoint. The structure is such that it generates only M×M lossless FIR transfer matrices (regardless of parameter values), and conversely, any M×M lossless FIR transfer matrix can be obtained by a suitable choice of parameters. These parameters turn out to be angles thetak, and the structure is such that the number of angles is minimal. A design example is presented to demonstrate the main results


Item Type:Article
Additional Information:© Copyright 1988 IEEE. Reprinted with permission. Manuscript received October 1, 1987; revised April 4, 1988. This work was supported in part by the National Science Foundation under Grant DCI 8552579; by the matching funds provided by Pacific Bell and General Electric Co.; by Caltech’s Programs in Advanced Technology Grant sponsored by Aerojet General, General Motors, GTE, and TRW; and by the National Science Foundation under Grant MIP 8604456. We gratefully acknowledge the encouraging remarks from Prof. B. D. Anderson, of the Australian National University, on the contents of this paper.
Subject Keywords:computerised signal processing; digital filters; filtering and prediction theory; matrix algebra
Record Number:CaltechAUTHORS:DOGieeetassp88
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:DOGieeetassp88
Alternative URL:http://dx.doi.org/10.1109/29.7544
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3094
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:15 May 2006
Last Modified:26 Dec 2012 08:52

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