Stability analysis of 2-D digital filters with saturation arithmetic: an LMI approach

Author

Kar, Haranath ; Singh, Vimal

Author_Institution

Dept. of Electr.-Electron. Eng., Atilim Univ., Ankara, Turkey

Volume

53

Issue

6

fYear

2005

fDate

6/1/2005 12:00:00 AM

Firstpage

2267

Lastpage

2271

Abstract

An improved LMI-based criterion for the nonexistence of overflow oscillations in two-dimensional (2-D) digital filters described by the Roesser model employing saturation arithmetic is presented. The criterion makes use of the structural properties (as prevailing in the system under consideration) of the saturation nonlinearities in a greater detail than the usual sector restriction [0,1].

Keywords

Lyapunov methods; asymptotic stability; linear matrix inequalities; multidimensional digital filters; multidimensional signal processing; 2D digital filter; LMI approach; Lyapunov method; asymptotic stability; digital filter wordlength effect; multidimensional digital filter; overflow oscillation; saturation arithmetic; stability analysis; Digital arithmetic; Digital filters; Finite wordlength effects; Image processing; Lyapunov method; Multidimensional systems; Quantization; Stability analysis; Two dimensional displays; Water heating; Asymptotic stability; Lyapunov methods; digital filter wordlength effects; multidimensional digital filters;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2005.847857

Filename

1433156