Circulant and skew-circulant matrices as new normal-form realization of IIR digital filters
- Creators
- Liu, Vincent C.
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Vaidyanathan, P. P.
Abstract
Normal-form fixed-point state-space realization of IIR (infinite-impulse response) filters are known to be free from both overflow oscillations and roundoff limit cycles, provided magnitude truncation arithmetic is used together with two's-complement overflow features. Two normal-form realizations are derived that utilize circulant and skew-circulant matrices as their state transition matrices. The advantage of these realizations is that the A-matrix has only N (rather than N2) distinct elements and is amenable to efficient memory-oriented implementation. The problem of scaling the internal signals in these structures is addressed, and it is shown that an approximate solution can be obtained through a numerical optimization method. Several numerical examples are included.
Additional Information
© Copyright 1988 IEEE. Reprinted with permission. Manuscript received August 29, 1985; revised May 5, 1986 and July 22, 1987. This work was supported in part by the National Science Foundation under Grant ECS 84-04245 and in part by Caltech's programs in advanced technology sponsored by Aerojet General, General Motors, GTE, and TRW. V.C. Liu was under a Schlumberger Fellowship for the period during which this work was performed. This paper was recommended by Associate Editor A. N. Venetsanopoulos.Files
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Additional details
- Eprint ID
- 5900
- Resolver ID
- CaltechAUTHORS:LIUieeetcs88
- Created
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2006-11-08Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field