State-space realization and inversion of 2-D systems

In this paper the state-space realization results of [1] for causal 2-D systems are generalized to a much larger class of 2-D systems. We introduce a generalized notion of a state-space realization for which the state can still be recursively evaluated. The results include a realization method for a...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems 1980-07, Vol.27 (7), p.612-619
Main Author: Eising, R.
Format: Article
Language:English
Subjects:
Australia
Circuit stability
Communication system control
Delay effects
Electrical engineering
Equations
Filters
Mathematics
Optimal control
Sufficient conditions
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Summary:In this paper the state-space realization results of [1] for causal 2-D systems are generalized to a much larger class of 2-D systems. We introduce a generalized notion of a state-space realization for which the state can still be recursively evaluated. The results include a realization method for a class of NSHP filters. In the second part we introduce inverse 2-D systems with inherent delay. Some results concerning existence of an inverse with inherent delay for a 2-D system will be given. It will be shown that, in general, a causal 2-D system cannot have a causal inverse (with inherent delay). Furthermore, it will be shown that a causal 2-D system always has an inverse with inherent delay in the larger class of 2-D systems mentioned above.
ISSN:0098-4094
1558-1276
DOI:10.1109/TCS.1980.1084865