Design of nearly linear phase IIR digital filters with prescribed log magnitude response

Masahiro Okuda, Masaaki Ikehara, Shin ichi Takahashi

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

1 Citation (Scopus)

Abstract

In this paper, we propose a new design algorithm for nearly linear phase IIR 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 is possible to control log magnitude and phase response directly. The gradient vector of the proposed error function is easily calculated as the closed form solution because of its nature, in which the real and imaginary part of the logarithm of a complex transfer 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 publicationMidwest Symposium on Circuits and Systems
EditorsG. Cameron, M. Hassoun, A. Jerdee, C. Melvin
PublisherIEEE
Pages631-634
Number of pages4
Volume2
Publication statusPublished - 1996
EventProceedings of the 1996 IEEE 39th Midwest Symposium on Circuits & Systems. Part 3 (of 3) - Ames, IA, USA
Duration: 1996 Aug 181996 Aug 21

Other

OtherProceedings of the 1996 IEEE 39th Midwest Symposium on Circuits & Systems. Part 3 (of 3)
CityAmes, IA, USA
Period96/8/1896/8/21

Fingerprint

IIR filters
Digital filters
Transfer functions

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials

Cite this

Okuda, M., Ikehara, M., & Takahashi, S. I. (1996). Design of nearly linear phase IIR digital filters with prescribed log magnitude response. In G. Cameron, M. Hassoun, A. Jerdee, & C. Melvin (Eds.), Midwest Symposium on Circuits and Systems (Vol. 2, pp. 631-634). IEEE.

Design of nearly linear phase IIR digital filters with prescribed log magnitude response. / Okuda, Masahiro; Ikehara, Masaaki; Takahashi, Shin ichi.

Midwest Symposium on Circuits and Systems. ed. / G. Cameron; M. Hassoun; A. Jerdee; C. Melvin. Vol. 2 IEEE, 1996. p. 631-634.

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

Okuda, M, Ikehara, M & Takahashi, SI 1996, Design of nearly linear phase IIR digital filters with prescribed log magnitude response. in G Cameron, M Hassoun, A Jerdee & C Melvin (eds), Midwest Symposium on Circuits and Systems. vol. 2, IEEE, pp. 631-634, Proceedings of the 1996 IEEE 39th Midwest Symposium on Circuits & Systems. Part 3 (of 3), Ames, IA, USA, 96/8/18.
Okuda M, Ikehara M, Takahashi SI. Design of nearly linear phase IIR digital filters with prescribed log magnitude response. In Cameron G, Hassoun M, Jerdee A, Melvin C, editors, Midwest Symposium on Circuits and Systems. Vol. 2. IEEE. 1996. p. 631-634
Okuda, Masahiro ; Ikehara, Masaaki ; Takahashi, Shin ichi. / Design of nearly linear phase IIR digital filters with prescribed log magnitude response. Midwest Symposium on Circuits and Systems. editor / G. Cameron ; M. Hassoun ; A. Jerdee ; C. Melvin. Vol. 2 IEEE, 1996. pp. 631-634
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