Equiripple design in complex domain for FIR digital filters by transforming desired response

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

Research output: Contribution to journalArticle

Abstract

In this paper, a new design method is proposed for complex equiripple approximation of an FIR digital filter. In this method, the desired characteristics are varied and the least-squares method is applied iteratively until convergence to an equiripple solution is reached. Although the obtained solution is quasi-optimal, the necessary computational complexity is extremely small in each iteration and the computation error can be kept small. Therefore, the method has the advantage that the design of higher-order filters, which is difficult in the conventional methods, can now be executed at high speed. By computer simulation, the method is compared with the conventional complex Chebyshev approximation method and the effectiveness of the present method is demonstrated.

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FIR filters
Digital filters
Chebyshev approximation
Computational complexity
Computer simulation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

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title = "Equiripple design in complex domain for FIR digital filters by transforming desired response",
abstract = "In this paper, a new design method is proposed for complex equiripple approximation of an FIR digital filter. In this method, the desired characteristics are varied and the least-squares method is applied iteratively until convergence to an equiripple solution is reached. Although the obtained solution is quasi-optimal, the necessary computational complexity is extremely small in each iteration and the computation error can be kept small. Therefore, the method has the advantage that the design of higher-order filters, which is difficult in the conventional methods, can now be executed at high speed. By computer simulation, the method is compared with the conventional complex Chebyshev approximation method and the effectiveness of the present method is demonstrated.",
author = "Masahiro Okuda and Kageyuki Kiyose and Masaaki Ikehara and Takahashi, {Shin Ichi}",
year = "2001",
doi = "10.1002/1520-6440(200102)84:2<30::AID-ECJC4>3.0.CO;2-K",
language = "English",
volume = "84",
pages = "30--37",
journal = "Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)",
issn = "1042-0967",
publisher = "John Wiley and Sons Inc.",
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TY - JOUR

T1 - Equiripple design in complex domain for FIR digital filters by transforming desired response

AU - Okuda, Masahiro

AU - Kiyose, Kageyuki

AU - Ikehara, Masaaki

AU - Takahashi, Shin Ichi

PY - 2001

Y1 - 2001

N2 - In this paper, a new design method is proposed for complex equiripple approximation of an FIR digital filter. In this method, the desired characteristics are varied and the least-squares method is applied iteratively until convergence to an equiripple solution is reached. Although the obtained solution is quasi-optimal, the necessary computational complexity is extremely small in each iteration and the computation error can be kept small. Therefore, the method has the advantage that the design of higher-order filters, which is difficult in the conventional methods, can now be executed at high speed. By computer simulation, the method is compared with the conventional complex Chebyshev approximation method and the effectiveness of the present method is demonstrated.

AB - In this paper, a new design method is proposed for complex equiripple approximation of an FIR digital filter. In this method, the desired characteristics are varied and the least-squares method is applied iteratively until convergence to an equiripple solution is reached. Although the obtained solution is quasi-optimal, the necessary computational complexity is extremely small in each iteration and the computation error can be kept small. Therefore, the method has the advantage that the design of higher-order filters, which is difficult in the conventional methods, can now be executed at high speed. By computer simulation, the method is compared with the conventional complex Chebyshev approximation method and the effectiveness of the present method is demonstrated.

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