On the Partial Realization of Noncausal 2-D Linear Systems

Lorenzo Ntogramatzidis, Michael Cantoni, Ran Yang
2007 IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications  
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.
doi:10.1109/tcsi.2007.902543 fatcat:rvb5jmmhr5gfhlvmsbktjoxd7u