Title :
Stability of a shift-variant 2-D state-space digital filter
Author :
Mabey, Glen W. ; Bose, Tamal ; Chen, Mei
Author_Institution :
Electr. & Comput. Eng. Dept., Utah State Univ., Logan, UT, USA
Abstract :
Sufficient conditions for stability of time-varying 1D systems are already well established. This work treats the 2D case in an approach that parallels that of the 1D, yet at the same time reveals the heightened complexity of the extension. When "double exponential stability" is guaranteed for a certain set of homogeneous equations, the 2D system is BIBO stable. The result applies to a generalized form of the Givone-Roesser state-space equations.
Keywords :
IIR filters; asymptotic stability; circuit stability; digital filters; linear phase filters; state-space methods; time-varying filters; 2D state-space digital filter; BIBO stable system; Givone-Roesser state-space equations; digital filter stability; homogeneous equations double exponential stability; linear IIR filters; shift-variant digital filter; time-varying filters; Computer science; Digital filters; Digital signal processing; Equations; Information processing; Mathematics; Sections; Stability; Symmetric matrices; Time varying systems;
Conference_Titel :
Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on
Print_ISBN :
0-7803-8834-8
DOI :
10.1109/ISCAS.2005.1464648
