The stabilization of two‐dimensional non‐symmetric half‐plane recursive filters via the discrete Hilbert transformations

Abstract

AbstractThe discrete Hilbert transform (DHT) relations for 2D semicausal signals have been introduced. an alternative algorithm to stabilize non‐symmetric half‐plane (NSHP) recursive filters by applying the DHT directly in the nonsymmetric half‐plane is presented. the results of the direct DHT (DDHT) stabilization procedure are compared with the method of quarter‐plane DHT (QDHT) stabilization after transforming the NSHP polynomial into the quarter‐plane by application of an appropriate transformation. It is observed that the proposed scheme produces the same stable NSHP filter as that obtained through the QDHT method.