Complex approximation of 2-D digital filters with prescribed log magnitude and phase response

Masahiro Okuda; Kaori Matsuda; Masaaki Ikehara; Shin ichi Takahashi

Complex approximation of 2-D digital filters with prescribed log magnitude and phase response

Masahiro Okuda, Kaori Matsuda, Masaaki Ikehara, Shin ichi Takahashi

Department of Electronics and Electrical Engineering

Research output: Contribution to conference › Paper › peer-review

Abstract

In this paper, we propose a new design algorithm for nearly linear phase 2-D IIR (FIR) digital filters with prescribed log magnitude response. The error function used here is the sum of the weighted log magnitude-squared error and phase-squared error, and so it's possible to control log magnitude and phase response independently. The gradient vector of the proposed error function is easily calculated as the closed form solution because of the nature, in which the real and imaginary part of the logarithm of a complex transfer function corresponds to the log magnitude and phase response, respectively. This algorithm is simple and converges quickly. Finally, we show the validity of the proposed algorithm with some examples.

Original language	English
Pages	388-393
Number of pages	6
Publication status	Published - 1996 Dec 1
Event	Proceedings of the 1996 IEEE Region 10 TENCON - Digital Signal Processing Applications Conference. Part 2 (of 2) - Perth, Aust Duration: 1996 Nov 26 → 1996 Nov 29

Other

Other	Proceedings of the 1996 IEEE Region 10 TENCON - Digital Signal Processing Applications Conference. Part 2 (of 2)
City	Perth, Aust
Period	96/11/26 → 96/11/29

ASJC Scopus subject areas

Computer Science Applications
Electrical and Electronic Engineering

Cite this

Complex approximation of 2-D digital filters with prescribed log magnitude and phase response. / Okuda, Masahiro; Matsuda, Kaori; Ikehara, Masaaki et al.
1996. 388-393 Paper presented at Proceedings of the 1996 IEEE Region 10 TENCON - Digital Signal Processing Applications Conference. Part 2 (of 2), Perth, Aust.

Research output: Contribution to conference › Paper › peer-review

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abstract = "In this paper, we propose a new design algorithm for nearly linear phase 2-D IIR (FIR) digital filters with prescribed log magnitude response. The error function used here is the sum of the weighted log magnitude-squared error and phase-squared error, and so it's possible to control log magnitude and phase response independently. The gradient vector of the proposed error function is easily calculated as the closed form solution because of the nature, in which the real and imaginary part of the logarithm of a complex transfer function corresponds to the log magnitude and phase response, respectively. This algorithm is simple and converges quickly. Finally, we show the validity of the proposed algorithm with some examples.",

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AU - Okuda, Masahiro

AU - Matsuda, Kaori

AU - Ikehara, Masaaki

AU - Takahashi, Shin ichi

PY - 1996/12/1

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N2 - In this paper, we propose a new design algorithm for nearly linear phase 2-D IIR (FIR) digital filters with prescribed log magnitude response. The error function used here is the sum of the weighted log magnitude-squared error and phase-squared error, and so it's possible to control log magnitude and phase response independently. The gradient vector of the proposed error function is easily calculated as the closed form solution because of the nature, in which the real and imaginary part of the logarithm of a complex transfer function corresponds to the log magnitude and phase response, respectively. This algorithm is simple and converges quickly. Finally, we show the validity of the proposed algorithm with some examples.

AB - In this paper, we propose a new design algorithm for nearly linear phase 2-D IIR (FIR) digital filters with prescribed log magnitude response. The error function used here is the sum of the weighted log magnitude-squared error and phase-squared error, and so it's possible to control log magnitude and phase response independently. The gradient vector of the proposed error function is easily calculated as the closed form solution because of the nature, in which the real and imaginary part of the logarithm of a complex transfer function corresponds to the log magnitude and phase response, respectively. This algorithm is simple and converges quickly. Finally, we show the validity of the proposed algorithm with some examples.

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T2 - Proceedings of the 1996 IEEE Region 10 TENCON - Digital Signal Processing Applications Conference. Part 2 (of 2)

Y2 - 26 November 1996 through 29 November 1996

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Complex approximation of 2-D digital filters with prescribed log magnitude and phase response

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