Mns. Swamy et Lm. Roytman, STABILITY OF MUTUALLY INVERSE RATIONAL 2-D DIGITAL TRANSFER-FUNCTIONS, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 42(8), 1995, pp. 464-466
This brief considers the open problem concerning the BIBO stability of
mutually inverse 2-D digital filters in the presence of nonessential
singularities of the second kind on T-2. Necessary and sufficient cond
itions are obtained for the BIBO stability of mutually inverse pairs o
f 2-D digital filters having such singularities on T-2. Several illust
rative examples are considered.