Multiple exchange Remez algorithm for complex FIR filter design in the Chebyshev sense

Lina Karam, James H. McClellan

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

13 Citations (Scopus)

Abstract

The alternation theorem is at the core of the efficient real Chebyshev approximation algorithms. In this paper, the alternation theorem is extended from the real-only to the complex case. A new efficient algorithm is described for designing FIR filters that best approximate in the Chebyshev sense a desired complex-valued function. This algorithm is based on an ascent Remez exchange method applied to a transformation of the complex Chebyshev error, and is basically a generalization of the Parks-McClellan algorithm to the complex case. Numerical examples are presented to illustrate the performance of the proposed algorithm.

Original languageEnglish (US)
Title of host publicationProceedings - IEEE International Symposium on Circuits and Systems
PublisherIEEE
Pages517-520
Number of pages4
Volume2
StatePublished - 1994
Externally publishedYes
EventProceedings of the 1994 IEEE International Symposium on Circuits and Systems. Part 3 (of 6) - London, England
Duration: May 30 1994Jun 2 1994

Other

OtherProceedings of the 1994 IEEE International Symposium on Circuits and Systems. Part 3 (of 6)
CityLondon, England
Period5/30/946/2/94

Fingerprint

FIR filters
Chebyshev approximation
Approximation algorithms

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials

Cite this

Karam, L., & McClellan, J. H. (1994). Multiple exchange Remez algorithm for complex FIR filter design in the Chebyshev sense. In Proceedings - IEEE International Symposium on Circuits and Systems (Vol. 2, pp. 517-520). IEEE.

Multiple exchange Remez algorithm for complex FIR filter design in the Chebyshev sense. / Karam, Lina; McClellan, James H.

Proceedings - IEEE International Symposium on Circuits and Systems. Vol. 2 IEEE, 1994. p. 517-520.

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

Karam, L & McClellan, JH 1994, Multiple exchange Remez algorithm for complex FIR filter design in the Chebyshev sense. in Proceedings - IEEE International Symposium on Circuits and Systems. vol. 2, IEEE, pp. 517-520, Proceedings of the 1994 IEEE International Symposium on Circuits and Systems. Part 3 (of 6), London, England, 5/30/94.
Karam L, McClellan JH. Multiple exchange Remez algorithm for complex FIR filter design in the Chebyshev sense. In Proceedings - IEEE International Symposium on Circuits and Systems. Vol. 2. IEEE. 1994. p. 517-520
Karam, Lina ; McClellan, James H. / Multiple exchange Remez algorithm for complex FIR filter design in the Chebyshev sense. Proceedings - IEEE International Symposium on Circuits and Systems. Vol. 2 IEEE, 1994. pp. 517-520
@inproceedings{99536453d34d4abe80751ece6988df75,
title = "Multiple exchange Remez algorithm for complex FIR filter design in the Chebyshev sense",
abstract = "The alternation theorem is at the core of the efficient real Chebyshev approximation algorithms. In this paper, the alternation theorem is extended from the real-only to the complex case. A new efficient algorithm is described for designing FIR filters that best approximate in the Chebyshev sense a desired complex-valued function. This algorithm is based on an ascent Remez exchange method applied to a transformation of the complex Chebyshev error, and is basically a generalization of the Parks-McClellan algorithm to the complex case. Numerical examples are presented to illustrate the performance of the proposed algorithm.",
author = "Lina Karam and McClellan, {James H.}",
year = "1994",
language = "English (US)",
volume = "2",
pages = "517--520",
booktitle = "Proceedings - IEEE International Symposium on Circuits and Systems",
publisher = "IEEE",

}

TY - GEN

T1 - Multiple exchange Remez algorithm for complex FIR filter design in the Chebyshev sense

AU - Karam, Lina

AU - McClellan, James H.

PY - 1994

Y1 - 1994

N2 - The alternation theorem is at the core of the efficient real Chebyshev approximation algorithms. In this paper, the alternation theorem is extended from the real-only to the complex case. A new efficient algorithm is described for designing FIR filters that best approximate in the Chebyshev sense a desired complex-valued function. This algorithm is based on an ascent Remez exchange method applied to a transformation of the complex Chebyshev error, and is basically a generalization of the Parks-McClellan algorithm to the complex case. Numerical examples are presented to illustrate the performance of the proposed algorithm.

AB - The alternation theorem is at the core of the efficient real Chebyshev approximation algorithms. In this paper, the alternation theorem is extended from the real-only to the complex case. A new efficient algorithm is described for designing FIR filters that best approximate in the Chebyshev sense a desired complex-valued function. This algorithm is based on an ascent Remez exchange method applied to a transformation of the complex Chebyshev error, and is basically a generalization of the Parks-McClellan algorithm to the complex case. Numerical examples are presented to illustrate the performance of the proposed algorithm.

UR - http://www.scopus.com/inward/record.url?scp=0028593085&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028593085&partnerID=8YFLogxK

M3 - Conference contribution

VL - 2

SP - 517

EP - 520

BT - Proceedings - IEEE International Symposium on Circuits and Systems

PB - IEEE

ER -