Title :
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
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;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2003.821526
