On the Partial Realization of Noncausal 2-D Linear Systems

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 2D linear system. By construction, the resulting latent variable model and corresponding boundary conditions comprise four components, each with recursively computable structure.