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Design of doubly-complementary IIR digital filters using a single complex allpass filter, with multirate applications

Vaidyanathan, P. P. and Regalia, Phillip A. and Mitra, Sanjit K. (1987) Design of doubly-complementary IIR digital filters using a single complex allpass filter, with multirate applications. IEEE Transactions on Circuits and Systems, 34 (4). pp. 378-389. ISSN 0098-4094. http://resolver.caltech.edu/CaltechAUTHORS:VAIieeetcs87e

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Abstract

It is shown that a large class of real-coefficient doubly-complementary IIR transfer function pairs can be implemented by means of a single complex allpass filter. For a real input sequence, the real part of the output sequence corresponds to the output of one of the transfer functions G(z) (for example, lowpass), whereas the imaginary part of the output sequence corresponds to its "complementary" filter H(z)(for example, highpass). The resulting implementation is structurally lossless, and hence the implementations of G(z) and H(z) have very low passband sensitivity. Numerical design examples are included, and a typical numerical example shows that the new implementation with 4 bits per multiplier is considerably better than a direct form implementation with 9 bits per multiplier. Multirate filter bank applications (quadrature mirror filtering) are outlined.


Item Type:Article
Additional Information:© Copyright 1987 IEEE. Reprinted with permission. Manuscript received May 26, 1986; revised October 17, 1986. This work was supported in part by a University of California MICRO Grant, with matching funds from Intel Corp., Rockwell Corp., and LSI Logic Corp., in part by the National Science Foundation under Grants ECS 82-18310, ECS 84-04245, and ECS 85-08017, and in part by a Caltech Programs in Advanced Technology Grant. The authors wish to thank Dr. Y. Neuvo of the Tampere University of Technology, Finland, for useful discussions.
Subject Keywords:All-pass circuits; IIR digital filters; Quadrature mirror filters
Record Number:CaltechAUTHORS:VAIieeetcs87e
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:VAIieeetcs87e
Alternative URL:http://ieeexplore.ieee.org/xpls/abs_all.jsp?isnumber=23591&arnumber=1086156&count=19&index=17
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5847
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:04 Nov 2006
Last Modified:26 Dec 2012 09:15

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