Equivalence and reduction of 2-D systems

Equivalence and reduction of 2-D systems

Three definitions of equivalence in two-dimensional (2-D) systems theory are considered and certain connections between them made. The computational based definition suffers from the deficiency that it has the smallest equivalence classes, which therefore may not be sufficiently wide to contain redu...

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Veröffentlicht in:IEEE transactions on circuits and systems. 2, Analog and digital signal processing Analog and digital signal processing, 2005-05, Vol.52 (5), p.271-275
Hauptverfasser: Pugh, A.C., McInerney, S.J., El-Nabrawy, E.M.O.
Format: Artikel
Sprache:eng
Schlagworte:
Circuits
Linear systems
MIMO
Multidimensional systems
multivariable systems
Polynomials
Two dimensional displays
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Zusammenfassung:Three definitions of equivalence in two-dimensional (2-D) systems theory are considered and certain connections between them made. The computational based definition suffers from the deficiency that it has the smallest equivalence classes, which therefore may not be sufficiently wide to contain reduced system forms. Despite this, the reduction to a first-order form of singular Roesser type is shown to be possible with this equivalence.
ISSN:1549-7747
1057-7130
1558-3791
DOI:10.1109/TCSII.2005.846886