On the Minimal State-Space Realizations of All-Pole and All-Zero 2-D Systems

S. J. Varoufakis, P. N. Paraskevopoulos, George Antoniou

Research output: Contribution to journalArticle

30 Scopus citations


A simple method is presented for the minimal state-space representation, described by the Roesser model, of a 2-D all-pole and all-zero transfer function. The state-space representation is derived, from a block diagram, by inspection. General expressions for the system matrices (A,b,c) of very simple form are derived explicitely in terms of the parameters of the transfer function.

Original languageEnglish
Pages (from-to)289-292
Number of pages4
JournalIEEE Transactions on Circuits and Systems
Issue number3
StatePublished - 1 Jan 1987


Cite this