On the Realization of 2D Lattice-Ladder Discrete Filters

In this paper, the one-dimensional Gray-Markel lattice-ladder discrete filter structure is extended to two dimensions (2D). The proposed 2D circuit implementation has minimal number of unit delays. Based on this circuit implementation the corresponding 2D state space realization is derived. The matrices A, b, c′ and the scalar d of the 2D state space model are presented in generalized closed form, having minimal dimension

ON THE REALIZATION OF 2D LATTICE-LADDER DISCRETE FILTERS

In this paper, the one-dimensional Gray–Markel lattice-ladder discrete filter structure is extended to two dimensions (2D). The proposed 2D circuit implementation has minimal number of unit delays. Based on this circuit implementation the corresponding 2D state space realization is derived. The matrices A, b, c ′ and the scalar d of the 2D state space model are presented in generalized closed form, having minimal dimension. Keywords: Lattice-ladder filters; 2D filters; state space; realization; 2D systems. 1