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

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish
Title of host publicationIEEE Region 10 Annual International Conference, Proceedings/TENCON
PublisherIEEE
Pages388-393
Number of pages6
Volume1
Publication statusPublished - 1996
EventProceedings of the 1996 IEEE Region 10 TENCON - Digital Signal Processing Applications Conference. Part 2 (of 2) - Perth, Aust
Duration: 1996 Nov 261996 Nov 29

Other

OtherProceedings of the 1996 IEEE Region 10 TENCON - Digital Signal Processing Applications Conference. Part 2 (of 2)
CityPerth, Aust
Period96/11/2696/11/29

Fingerprint

Digital filters
FIR filters
Transfer functions

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Okuda, M., Matsuda, K., Ikehara, M., & Takahashi, S. I. (1996). Complex approximation of 2-D digital filters with prescribed log magnitude and phase response. In IEEE Region 10 Annual International Conference, Proceedings/TENCON (Vol. 1, pp. 388-393). IEEE.

Complex approximation of 2-D digital filters with prescribed log magnitude and phase response. / Okuda, Masahiro; Matsuda, Kaori; Ikehara, Masaaki; Takahashi, Shin ichi.

IEEE Region 10 Annual International Conference, Proceedings/TENCON. Vol. 1 IEEE, 1996. p. 388-393.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Okuda, M, Matsuda, K, Ikehara, M & Takahashi, SI 1996, Complex approximation of 2-D digital filters with prescribed log magnitude and phase response. in IEEE Region 10 Annual International Conference, Proceedings/TENCON. vol. 1, IEEE, pp. 388-393, Proceedings of the 1996 IEEE Region 10 TENCON - Digital Signal Processing Applications Conference. Part 2 (of 2), Perth, Aust, 96/11/26.
Okuda M, Matsuda K, Ikehara M, Takahashi SI. Complex approximation of 2-D digital filters with prescribed log magnitude and phase response. In IEEE Region 10 Annual International Conference, Proceedings/TENCON. Vol. 1. IEEE. 1996. p. 388-393
Okuda, Masahiro ; Matsuda, Kaori ; Ikehara, Masaaki ; Takahashi, Shin ichi. / Complex approximation of 2-D digital filters with prescribed log magnitude and phase response. IEEE Region 10 Annual International Conference, Proceedings/TENCON. Vol. 1 IEEE, 1996. pp. 388-393
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