Complex Approximation of FIR Digital Filters by Updating Desired Responses

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

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this correspondence, we present a new numerical method for the complex approximation of FIR digital filters. Our objective is to design FIR filters whose absolute error between the designed and desired response is equiripple. The proposed method solves the least-squares 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. Moreover, by multiplying the arbitrary weighting function on the desired response of the passband and stopband, the errors in the passband and the stopband can be controlled. We show some examples to illustrate the advantages of our proposed methods.

Original languageEnglish
Pages (from-to)2948-2953
Number of pages6
JournalIEEE Transactions on Signal Processing
Volume53
Issue number8
DOIs
Publication statusPublished - 2005

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FIR filters
Digital filters
Newton-Raphson method
Numerical methods

Keywords

  • Complex approximation
  • equiripple design
  • FIR filters

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

Cite this

Complex Approximation of FIR Digital Filters by Updating Desired Responses. / Okuda, Masahiro; Yoshida, Masahiro; Kiyose, Kageyuki; Ikehara, Masaaki; Takahashi, Shin Ichi.

In: IEEE Transactions on Signal Processing, Vol. 53, No. 8, 2005, p. 2948-2953.

Research output: Contribution to journalArticle

Okuda, Masahiro ; Yoshida, Masahiro ; Kiyose, Kageyuki ; Ikehara, Masaaki ; Takahashi, Shin Ichi. / Complex Approximation of FIR Digital Filters by Updating Desired Responses. In: IEEE Transactions on Signal Processing. 2005 ; Vol. 53, No. 8. pp. 2948-2953.
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