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Tree-structured complementary filter banks using all-pass sections

Regalia, Phillip A. and Mitra, Sanjit K. and Vaidyanathan, P. P. and Renfors, Markku K. and Neuvo, Yrjö (1987) Tree-structured complementary filter banks using all-pass sections. IEEE Transactions on Circuits and Systems, 34 (12). pp. 1470-1484. ISSN 0098-4094.

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Tree-structured complementary filter banks are developed with transfer functions that are simultaneously all-pass complementary and power complementary. Using a formulation based on unitary transforms and all-pass functions, we obtain analysis and synthesis filter banks which are related through a transposition operation, such that the cascade of analysis and synthesis filter banks achieves an all-pass function. The simplest structure is obtained using a Hadamard transform, which is shown to correspond to a binary tree structure. Tree structures can be generated for a variety of other unitary transforms as well. In addition, given a tree-structured filter bank where the number of bands is a power of two, simple methods are developed to generate complementary filter banks with an arbitrary number of channels, which retain the transpose relationship between analysis and synthesis banks, and allow for any combination of bandwidths. The structural properties of the filter banks are illustrated with design examples, and multirate applications are outlined.

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Vaidyanathan, P. P.0000-0003-3003-7042
Additional Information:© Copyright 1987 IEEE. Reprinted with permission. Manuscript received July 23, 1986; revised March 16, 1987. This work was supported by the National Science Foundation under Grant MIP 85-08017.
Subject Keywords:All-pass circuits; Digital filters; IIR digital filters; Trees
Issue or Number:12
Record Number:CaltechAUTHORS:REGieeetcs87
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9284
Deposited By: Archive Administrator
Deposited On:07 Dec 2007
Last Modified:09 Mar 2020 13:19

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