Title :
Stability of 2-D periodically shift variant filters
Author :
Thamvichai, Ratchaneekorn ; Bose, Tamal
Author_Institution :
Dept. of Electr. & Comput. Eng., Colorado Univ., Boulder, CO, USA
fDate :
1/1/2002 12:00:00 AM
Abstract :
The stability of two-dimensional (2-D) periodically shift varying (PSV) filters is considered. The considered system is represented in state space by the first model of Fornasini-Marchesini (FM) with periodic coefficients. The stability of this model is then studied. Two necessary conditions and two sufficient conditions are established for asymptotic stability. The conditions are easy to use and computationally simple
Keywords :
asymptotic stability; circuit stability; digital filters; filtering theory; matrix algebra; 2D periodically shift variant filters; Fornasini-Marchesini model; asymptotic stability; filter stability; periodic coefficients; state space model; Asymptotic stability; Digital filters; Digital signal processing; Filter bank; Filtering; Speech; Stability analysis; State-space methods; Sufficient conditions; Two dimensional displays;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
