A new method for the design of stable IIR 2-D digital filters using sequential semidefinite programming

Author

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

Author_Institution

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

Volume

2

fYear

2001

fDate

6-9 May 2001

Firstpage

553

Abstract

A method for the design of quadrantally symmetric 2-D IIR digital filters using sequential semidefinite programming (SDP) is developed. The design problem is solved by formulating the objective function in the SDP framework using a linear approximation of the transfer function. The issue of filter stability is addressed by converting the stability constraint into a set of linear matrix inequalities based on the well-known Lyapunov stability theory

Keywords

IIR filters; Lyapunov matrix equations; circuit stability; filtering theory; mathematical programming; transfer functions; two-dimensional digital filters; Lyapunov stability theory; digital filter design method; filter stability; linear approximation; linear matrix inequalities; objective function; quadrantally symmetric filters; sequential semidefinite programming; stability constraint; stable IIR 2D digital filters; transfer function; Constraint theory; Design methodology; Digital filters; Filtering theory; IIR filters; Linear approximation; Linear matrix inequalities; Nonlinear filters; Stability; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on

Conference_Location

Sydney, NSW

Print_ISBN

0-7803-6685-9

Type

conf

DOI

10.1109/ISCAS.2001.921130

Filename

921130