Design of IIR Digital Filters using All-Pass Networks

Masaaki Ikehara; Hiroyuki Tanaka; Hideo Kuroda

doi:10.1109/82.279209

Design of IIR Digital Filters using All-Pass Networks

Masaaki Ikehara, Hiroyuki Tanaka, Hideo Kuroda

Department of Electronics and Electrical Engineering

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

16 Citations (Scopus)

Abstract

This paper presents a new method of designing the generalized IIR digital filter in the form of a parallel connection of two all-pass filters. It is shown that the numerator of the overall transfer function of this form can be expressed as real function of the all-pass coefficients. Then Remez algorithm is applied to the numerator and the rational approximation problem is transformed into a linear problem. IIR digital filters with the desired specification can be directly designed in the z-domain by this method. The proposed algorithm converges through a few iterations, and the amplitude property of IIR digital filter has equiripple.

Original language	English
Pages (from-to)	231-235
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing
Volume	41
Issue number	3
DOIs	https://doi.org/10.1109/82.279209
Publication status	Published - 1994 Mar

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering

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AB - This paper presents a new method of designing the generalized IIR digital filter in the form of a parallel connection of two all-pass filters. It is shown that the numerator of the overall transfer function of this form can be expressed as real function of the all-pass coefficients. Then Remez algorithm is applied to the numerator and the rational approximation problem is transformed into a linear problem. IIR digital filters with the desired specification can be directly designed in the z-domain by this method. The proposed algorithm converges through a few iterations, and the amplitude property of IIR digital filter has equiripple.

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Design of IIR Digital Filters using All-Pass Networks

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