Minimal circuit and state space realization of 2D all-pole systems with coefficient symmetry

In this paper two dimensional (2D) minimal circuit and state space realizations are presented for 2D all-pole systems with coefficient symmetry. The proposed state space realization is based on the corresponding circuit implementation. For the state space realization the classical 2D model of the Roesser type is used. The dimension of the state vector and the number of delay elements are minimal. Two examples are presented to illustrate the proposed results.