Design of linear-phase IIR digital filters using singular perturbational model reduction

Author

Aldhaheri, R.W.

Author_Institution

Dept. of Electr. & Comput. Eng., King Abdulaziz Univ., Jeddah, Saudi Arabia

Volume

147

Issue

5

fYear

2000

fDate

10/1/2000 12:00:00 AM

Firstpage

409

Lastpage

414

Abstract

A new technique for the design of a passband linear-phase infinite impulse response (IIR) digital filter is presented. This technique is based on computing orthonormal bases, which span the left and right invariant subspaces associated with the large and small eigenvalues of the cross-Gramian matrix W_c0, which tends to be symmetric and easily constructed. The orthonormal bases are computed by using the ordered real Schur form decomposition, which has been proved to be robust and numerically stable. The proposed technique is illustrated by several examples

Keywords

IIR filters; approximation theory; band-pass filters; digital filters; eigenvalues and eigenfunctions; linear phase filters; matrix algebra; network synthesis; perturbation techniques; SISO FIR digital filter; approximation algorithm; cross-Gramian matrix; eigenvalues; invariant subspaces; linear-phase IIR digital filters; numerical stability; ordered real Schur form decomposition; orthonormal bases; pass band digital filter design; singular perturbational model reduction; symmetric matrix;

fLanguage

English

Journal_Title

Vision, Image and Signal Processing, IEE Proceedings -

Publisher

iet

ISSN

1350-245X

Type

jour

DOI

10.1049/ip-vis:20000440

Filename

883984