Minimax design of 2-D IIR digital filters using sequential semidefinite programming

Author

Lu, W.-S. ; Antoniou, A.

Author_Institution

Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada

Volume

3

fYear

2002

fDate

2002

Abstract

A method for the minimax design of quadrantally symmetric 2-D IIR filters with guaranteed stability is proposed. The design problem is solved by formulating an objective function in the semidefinite programming framework using a linear approximation for the transfer function. The issue of filter stability is addressed by converting the stability constraints into linear matrix inequalities based on the well-know Lyapunov stability theory.

Keywords

IIR filters; Lyapunov methods; filtering theory; mathematical programming; matrix algebra; minimax techniques; stability; transfer functions; two-dimensional digital filters; 2D IIR filters; Lyapunov stability theory; filter stability; guaranteed stability; linear approximation; linear matrix inequalities; minimax design; objective function; quadrantally symmetric IIR filters; semidefinite programming framework; sequential semidefinite programming; stability constraints conversion; transfer function; Digital filters; Filtering theory; Functional programming; IIR filters; Linear approximation; Linear programming; Minimax techniques; Nonlinear filters; Stability; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2002. ISCAS 2002. IEEE International Symposium on

Print_ISBN

0-7803-7448-7

Type

conf

DOI

10.1109/ISCAS.2002.1010233

Filename

1010233