Design of IIR digital filters using all-pass networks

Author

Ikehara, Masaaki ; Tanaka, Hiroyuki ; Kuroda, Hideo

Author_Institution

Fac. of Sci. & Technol., Keio Univ., Yokohama, Japan

Volume

41

Issue

3

fYear

1994

fDate

3/1/1994 12:00:00 AM

Firstpage

231

Lastpage

235

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

Keywords

all-pass filters; digital filters; iterative methods; transfer functions; IIR digital filters; Remez algorithm; all-pass networks; amplitude property; equiripple; iterations; parallel connection; rational approximation problem; real function; transfer function; z-domain; Adaptive filters; Design methodology; Digital filters; Digital images; Filtering; IIR filters; Interference elimination; Signal processing; Signal processing algorithms; Speech;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.279209

Filename

279209