Simultaneous approximation for magnitude and phase responses of FIR digital filters

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

Simultaneous approximation for magnitude and phase responses of FIR digital filters

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

Department of Electronics and Electrical Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	2957-2963
Number of pages	7
Journal	IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Volume	E87-A
Issue number	11
Publication status	Published - 2004 Nov

Keywords

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

Cite this

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AU - Yoshida, Masahiro

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AU - Takahashi, Shin Ichi

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N2 - 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.

AB - 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.

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KW - Least squares method

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Simultaneous approximation for magnitude and phase responses of FIR digital filters

Abstract

Keywords

ASJC Scopus subject areas

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