General lattice structures of 2-D recursive digital filters

This paper presents a general lattice structure for the realization of two-dimensional (2-D) recursive digital filters. We employ two basic lattice sections to realize 2-D recursive digital filters with general coefficient support regions like a nonsymmetric half-plane (NSHP) support region. The matrix representations for the basic lattice sections are proposed and used to derive the transfer functions of the realized 2-D digital lattice filters. We use the Roesser state space model to verify the minimal realization of the proposed 2-D recursive digital lattice filter.