Elimination of overflow oscillations in 2-D digital filters employing saturation arithmetic: an LMI approach

Author

Singh, Vimal

Author_Institution

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

Volume

12

Issue

3

fYear

2005

fDate

3/1/2005 12:00:00 AM

Firstpage

246

Lastpage

249

Abstract

A computationally tractable, i.e., linear matrix inequality (LMI)-based criterion for the elimination of overflow oscillations in two-dimensional (2-D) state-space digital filters described by the Roesser model using saturation arithmetic is presented. The criterion is a generalization over an earlier LMI-based criterion.

Keywords

Lyapunov matrix equations; asymptotic stability; discrete systems; linear matrix inequalities; roundoff errors; two-dimensional digital filters; 2-D digital filters; 2-D discrete systems; LMI; Lyapunov methods; Roesser model; asymptotic stability; finite word length effects; linear matrix inequality; multidimensional filters; overflow oscillation elimination; saturation arithmetic; two-dimensional state-space filters; Digital arithmetic; Digital filters; Finite wordlength effects; Linear matrix inequalities; Lyapunov method; Multidimensional systems; Quantization; Stability; Two dimensional displays; Water heating; 2-D discrete systems; Asymptotic stability; Lyapunov methods; finite word length effects; linear matrix inequality; multidimensional digital filters; overflow oscillations;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2004.842285

Filename

1395951