Simultaneous approximation for magnitude and phase responses of FIR digital filters

Masahiro Okuda, Masahiro Yoshida, Masaaki Ikehara, Shin Ichi Takahashi

Research output: Contribution to journalArticlepeer-review


In this paper, we present a new numerical method for the complex approximation of FIR digital filters. Our objective is to design FIR filters with equiripple magnitude and phase errors. The proposed method solves the least squares (LS) problem iteratively. At each iteration, the desired response is updated so as to have an equiripple error. The proposed methods do not require any time-consuming optimization procedure such as the quasi-Newton methods and converge to equiripple solutions quickly. We show some examples to illustrate the advantages of our proposed methods.

Original languageEnglish
Pages (from-to)2957-2963
Number of pages7
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Issue number11
Publication statusPublished - 2004 Nov


  • Complex Chebyshev approximation
  • FIR filters
  • Least squares method

ASJC Scopus subject areas

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics


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