On the partial realization of noncausal 2-D linear systems

Abstract

The problem of partial realization is to construct a latent variable model which matches a specified input-output behavior over a bounded frame of interest. In this paper, an algorithm is proposed for constructing a partial realization from the Toeplitz kernel of a possibly noncausal 2-D linear system. By construction, the resulting latent variable model and corresponding boundary conditions comprise four components, each with recursively computable structure. © 2007 IEEE.