Consistent identification of two-dimensional systems

This paper presents an identification technique to consistently identify two-dimensional (2-D) systems with additive output noise in transfer function representation. The method is an extension of a one-dimensional instrumental variable (IV) method to two-dimensional systems. In this paper we consider a general two-dimensional (2-D) systems, which may be separable or non-separable, causal, semi-causal (spatially interconnected systems) or non-causal. Furthermore the algorithm can handle boundary conditions. The effectiveness of the method is shown with application to simulation examples.