New exchange rules for IIR filter design

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper introduces a new set of exchange rules for a Remez-like algorithm for the Chebyshev design of IIR digital filters. It is explained that the essential difficulty, in applying the Remez algorithm to rational functions, is that on some iteration, there may be no solution to the interpolation problem for which the denominator is strictly non-zero in the interval of approximation. Then the usual procedure for updating the interpolation points can not be applied. The new rules for updating the interpolation points address precisely this problem for the two-pole case. It is shown with examples that, when the Remez-like algorithm of Hofstetter et al. is applied to rational functions, there is a way to update the interpolation points so that the algorithm converges rapidly even when poles arise in the interval of approximation.

Original languageEnglish (US)
Title of host publicationICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Editors Anon
PublisherIEEE
Pages2209-2212
Number of pages4
Volume3
StatePublished - 1997
EventProceedings of the 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP. Part 1 (of 5) - Munich, Ger
Duration: Apr 21 1997Apr 24 1997

Other

OtherProceedings of the 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP. Part 1 (of 5)
CityMunich, Ger
Period4/21/974/24/97

Fingerprint

IIR filters
interpolation
Interpolation
rational functions
Rational functions
Poles
poles
intervals
digital filters
Digital filters
approximation
iteration

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering
  • Acoustics and Ultrasonics

Cite this

Selesnick, I. (1997). New exchange rules for IIR filter design. In Anon (Ed.), ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings (Vol. 3, pp. 2209-2212). IEEE.

New exchange rules for IIR filter design. / Selesnick, Ivan.

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. ed. / Anon. Vol. 3 IEEE, 1997. p. 2209-2212.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Selesnick, I 1997, New exchange rules for IIR filter design. in Anon (ed.), ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. vol. 3, IEEE, pp. 2209-2212, Proceedings of the 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP. Part 1 (of 5), Munich, Ger, 4/21/97.
Selesnick I. New exchange rules for IIR filter design. In Anon, editor, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. 3. IEEE. 1997. p. 2209-2212
Selesnick, Ivan. / New exchange rules for IIR filter design. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. editor / Anon. Vol. 3 IEEE, 1997. pp. 2209-2212
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