An efficient procedure for the design of a large class of analog and digital filters

Author

Devleeschouwer, Eric ; Grenez, Francis

Author_Institution

Service d´´Electr. Gen., Univ. Libre de Bruxelles, Belgium

Volume

39

Issue

1

fYear

1992

fDate

1/1/1992 12:00:00 AM

Firstpage

65

Lastpage

69

Abstract

A general procedure is described for the approximation in the Chebychev sense of an arbitrary attenuation curve in the passband(s) and in the stopband(s), by an analog or digital transfer function. Both the analog and digital cases are reduced to a common optimization problem which is solved by the efficient Remez algorithm working with the transmission zeros and attenuation zeros. Some of the transmission or attenuation zeros can be fixed by the user at prescribed frequencies. Digital filters with a numerator of lower degree than the denominator can also be designed. The method has been implemented on a PC and is illustrated by some examples

Keywords

Chebyshev approximation; band-pass filters; band-stop filters; circuit CAD; digital filters; filtering and prediction theory; optimisation; poles and zeros; transfer functions; Remez algorithm; analogue filters; arbitrary attenuation curve; attenuation zeros; design procedure; digital filters; digital transfer function; optimization problem; passband; stopband; transmission zeros; Approximation methods; Attenuation; Band pass filters; Digital filters; Filtering theory; Frequency; Linear programming; Passband; Poles and zeros; Transfer functions;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.204112

Filename

204112