Minimal State-Space Realization of Factorable 2-D Transfer Functions

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

doi:10.1109/31.1857

Minimal State-Space Realization of Factorable 2-D Transfer Functions

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

Computer Science

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

57 Scopus citations

Abstract

An algorithm is presented for the minimal state-space realization of a two-dimensional (2-D) transfer function for the special case when the numerator or the denominator of the 2-D transfer function is factorable. The state-space representation is directly derived by inspection from a circuit block diagram realization of the 2-D system. The present algorithm does not require that the numerator or the denominator polynomial is factored out, as opposed to known techniques.

Original language	English
Pages (from-to)	1055-1058
Number of pages	4
Journal	IEEE transactions on circuits and systems
Volume	35
Issue number	8
DOIs	https://doi.org/10.1109/31.1857
State	Published - Aug 1988

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abstract = "An algorithm is presented for the minimal state-space realization of a two-dimensional (2-D) transfer function for the special case when the numerator or the denominator of the 2-D transfer function is factorable. The state-space representation is directly derived by inspection from a circuit block diagram realization of the 2-D system. The present algorithm does not require that the numerator or the denominator polynomial is factored out, as opposed to known techniques.",

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AB - An algorithm is presented for the minimal state-space realization of a two-dimensional (2-D) transfer function for the special case when the numerator or the denominator of the 2-D transfer function is factorable. The state-space representation is directly derived by inspection from a circuit block diagram realization of the 2-D system. The present algorithm does not require that the numerator or the denominator polynomial is factored out, as opposed to known techniques.

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Minimal State-Space Realization of Factorable 2-D Transfer Functions

Abstract

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