Design of IIR digital filters in the complex domain by transforming the desired response

Tatsuya Matsunaga, Masahiro Yoshida, Masaaki Ikehara

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

In this paper, we present a new design method of infinite impulse response (IIR) digital filters with quasi-equiripple absolute error in the complex domain. This method is based on solving a least squares solution iteratively. At each iteration, the desired response for the least squares approximation is transformed to have equiripple error. This algorithm is efficient because there is no need for any initial value or complex optimization algorithm. By this method, a quasi-equiripple solution is obtained very quickly with less computational complexity. Moreover, by multiplying an arbitrary weighting function on the desired responses of passband and stopband, respectively, the error at the passband and stopband can be controlled. Finally, we show some examples to validate the proposed method.

Original languageEnglish
Pages (from-to)1975-1982
Number of pages8
JournalIEEE Transactions on Signal Processing
Volume52
Issue number7
DOIs
Publication statusPublished - 2004 Jul

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IIR filters
Digital filters
Least squares approximations
Computational complexity

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing

Cite this

Design of IIR digital filters in the complex domain by transforming the desired response. / Matsunaga, Tatsuya; Yoshida, Masahiro; Ikehara, Masaaki.

In: IEEE Transactions on Signal Processing, Vol. 52, No. 7, 07.2004, p. 1975-1982.

Research output: Contribution to journalArticle

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