Design of doubly-complementary IIR digital filters using a single complex allpass filter, with multirate applications
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.
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.Files
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Additional details
- Eprint ID
- 5847
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- CaltechAUTHORS:VAIieeetcs87e
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2006-11-04Created from EPrint's datestamp field
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2020-03-09Created from EPrint's last_modified field