On the stability of the least mean-square inverse process in two-dimensional digital filters
J. Bee Bednar · IEEE Transactions on Acoustics Speech and Signal Processing · 1975
In this correspondence we consider the stability of the Shank's least mean-square inverse design technique for the synthesis of two-dimensional recursive digital filters and show that this process always produces filters satisfying conditions necessary and sufficient for stability in one dimension. We do not answer the complete stability question, but provide a necessary condition in order for this process to generate stable filters.