Title :
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
fDate :
6/1/2005 12:00:00 AM
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;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2005.847857
