General results concerning the BIBO stability of inverse 2-D digital filters

Consideration is given to the open problem concerning the BIBO (bounded-input, bonded-output) stability of inverse 2-D digital filters in the presence of nonessential singularities of the second kind on T/sup 2/, the distinguished boundary of the unit bidisk. Necessary and sufficient conditions are obtained for the BIBO stability as well as the boundedness of a large class of mutually inverse 2-D digital filters having such singularities on T/sup 2/. Some illustrative examples are included.<
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