Necessary conditions for the stability of N-D digital filters with nonessential singularities of the second kind

摘要

In this brief we consider the open problem concerning the BIBO stability of N-D digital filters with nonessential singularities of the second kind in the region U~/sup N/-U/sup N/. We apply transformations to reduce the transfer function to the two-dimensional (2-D) case. Illustrative examples are included.