Asymmetric half-plane planar least-squares inverses

In this paper we present a procedure to obtain two-dimensional (2-D) Planar Least-Squares Inverses (PLSIs) in the general form of asymmetric half-plane (AHP) filters, and which are bounded input output (BIBO) stable in most cases. These PLSIs are obtained by transforming the problem into a one-dimensional PLSI problem using the slice projection theorem, solving it by means of the Levinson´s algorithm and transforming the solution back into an AHP filter. The procedure guarantees a good matching of the autocorrelation data and the BIBO stability of the filter in most cases. We discuss the application of this procedure to the stabilization of 2-D recursive filters and provide examples illustrating this application.