Title :
Stability and absence of overflow oscillations for 2-D discrete-time systems
Author :
Xiao, Chengshan ; Hill, David J.
Author_Institution :
Dept. of Electr. Eng., Sydney Univ., NSW, Australia
fDate :
8/1/1996 12:00:00 AM
Abstract :
It is shown that a 2-D linear time-invariant discrete-time system could be bounded-input bounded-output (BIBO) unstable even if the 2-D system, which is implemented by finite word length, is free of overflow oscillations with zero input, according to a previous criterion for the absence of overflow oscillations in 2-D discrete-time systems. An improved criterion is presented to ensure both stability properties
Keywords :
discrete time systems; filtering theory; linear systems; oscillations; stability; two-dimensional digital filters; 2D discrete-time systems; 2D linear time-invariant system; BIBO unstable system; bounded-input bounded-output; filtering theory; finite word length; overflow oscillations; stability properties; zero input; Dynamic range; Finite wordlength effects; Limit-cycles; Linear systems; Nonlinear systems; Polynomials; Signal processing; Stability criteria; Sufficient conditions; Transfer functions;
Journal_Title :
Signal Processing, IEEE Transactions on
