2-DIMENSIONAL SCHUR-ALGORITHM

In this paper, a novel 2-D Schur algorithm is developed as a natural e xtension of the 1-D Schur recursion. This lattice structure is based o n Parker and Kayran's four-field lattice approach. Starting with given 2-D autocorrelation samples, four quarter-plane gapped functions are generated. Their linear combination is used to satisfy gap conditions and calculate 2-D lattice parameter reflection factors for the first s tage. In order to determine the growing number of 2-D reflection coeff icients at succesive stages, appropriately defined auxiliary gapped fu nctions are introduced after the first order. The theory has been conf irmed by computer simulations. In addition to developing the basic the ory, the presentation includes a comparison between the proposed 2-D l attice structure and other existing four-field lattice structures.