Elimination of overflow oscillations in fixed-point state-space 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

51

Issue

1

fYear

2004

Firstpage

40

Lastpage

42

Abstract

A novel, linear-matrix inequality (LMI) based, criterion for the nonexistence of overflow oscillations in fixed-point state-space digital filter employing saturation arithmetic is presented. The criterion is based on a unique characterization (as prevailing in the filter under consideration) of the saturation nonlinearities, namely, an "effective" reduction of the sector.

Keywords

asymptotic stability; digital filters; discrete time filters; fixed point arithmetic; linear matrix inequalities; roundoff errors; state-space methods; discrete-time dynamical systems; finite-wordlength effects; fixed-point state-space digital filter; global asymptotic stability; linear-matrix inequality criterion; overflow oscillations elimination; saturation arithmetic; saturation nonlinearities; Asymptotic stability; Digital arithmetic; Digital control; Digital filters; Finite wordlength effects; Fixed-point arithmetic; Linear matrix inequalities; Nonlinear equations; Nonlinear systems; Symmetric matrices;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2003.821526

Filename

1263702