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Design of two-channel linear-phase FIR PR filter banks with even length filters using convolution matrices

Muthuvel, A and Makur, Anamitra (2000) Design of two-channel linear-phase FIR PR filter banks with even length filters using convolution matrices. In: IEEE Transactions on Circuits and Systems II Analog and Digital Signal Processing, 47 (12). pp. 1413-1418.

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Abstract

In this paper, the design problem of two-channel linear-phase finite-impulse response perfect reconstruction filter banks in which both the filters are of even length (which are known as type A filter banks) is addressed. The condition on the determinant of the polyphase matrix is translated in terms of well-known convolution matrices. The perfect reconstruction condition is obtained as a system of linear equations. Using the derived condition, an algorithm for the design of type A filter bank by searching the entire class in a sequential approach for both equal and unequal length cases is presented, In this approach, the First analysis filter is chosen such that there exists a filter forming a type A system, The second analysis filter is then chosen using the remaining degrees of freedom. These two steps are iterated, leading to joint optimization of both the filters.

Item Type: Journal Article
Additional Information: 2000 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Keywords: Convolution matrix;linear phase filter bank;perfect reconstruction;sequential characterization;two-channel filter bank
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 22 Aug 2008
Last Modified: 19 Sep 2010 04:16
URI: http://eprints.iisc.ernet.in/id/eprint/1981

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