BIBO stability of inverse 2-D digital filters in the presence of nonessential singularities of the second kind

It is shown that there exist bounded-input bounded-output (BIBO) stable 2-D filter transfer functions having simple nonessential singularities of the second kind on T/sup 2/, that also admit BIBO stable inverses. A class of such functions is obtained. Another class of BIBO stable 2-D functions that cannot have BIBO stable inverses is also characterized.<
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