Design of high-order Chebyshev FIR filters in the complex domain under magnitude constraints

Author

Vuerinckx, R.

Author_Institution

Dept. of ELEC, Vrije Univ., Brussels

Volume

46

Issue

6

fYear

1998

fDate

6/1/1998 12:00:00 AM

Firstpage

1676

Lastpage

1681

Abstract

This article discusses the design of FIR filters that approximate a complex-valued target frequency response in a Chebyshev sense. Additionally, the required stopband attenuation can be specified. Solving the dual of a semi-infinite linear program is currently the most efficient way to design such filters, but numerical problems prevent the design of high-order FIR filters. Modifications are proposed to overcome this limitation. Furthermore, an efficient method is presented for generating starting values that are close to the optimal solution such that the number of iterations is considerably reduced. Examples of filters with a length up to 250 taps are included

Keywords

Chebyshev filters; FIR filters; circuit optimisation; digital filters; frequency response; minimax techniques; network synthesis; FIR filter design; complex domain; complex-valued target frequency response; filter length; filter taps; high-order Chebyshev FIR filters; iterations; magnitude constraints; minimax method; numerical problems; optimal solution; semi-infinite linear program; starting values; stopband attenuation; Attenuation; Chebyshev approximation; Digital filters; Equalizers; Finite impulse response filter; Frequency response; Minimax techniques; Nonlinear filters; Numerical stability; Signal processing algorithms;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.678488

Filename

678488