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

S. J. Varoufakis; P. N. Paraskevopoulos; G. E. Antoniou

doi:10.1109/TCS.1987.1086131

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

S. J. Varoufakis
, P. N. Paraskevopoulos
, G. E. Antoniou

Computer Science

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

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 language	English
Pages (from-to)	289-292
Number of pages	4
Journal	IEEE transactions on circuits and systems
Volume	34
Issue number	3
DOIs	https://doi.org/10.1109/TCS.1987.1086131
State	Published - Mar 1987

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10.1109/TCS.1987.1086131

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abstract = "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.",

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

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