Asymmetric half-plane lattice modeling based on 2-D Levinson algorithm

This brief proposes a two-dimensional (2-D) Levinson algorithm and a lattice filter for the general case of the Autoregressive (AR) model with an asymmetric half-plane (AHP) support. The resulting Levinson algorithm and corresponding lattice filter solve the 2-D normal equation recursively, Although the 2-D signals of the model support are ordered into a one-dimensional (1-D) array, the ordering of the support signal is assigned voluntarily. The effects on the resulting model caused by different choices of support signal ordering are discussed. Finally, the validity of the proposed theory is confirmed through various simulations.