1988IEEE Transactions on Circuits and SystemsOpen access

Minimal state-space realization of factorable 2-D transfer functions

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

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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 algorithm does not require that the numerator or the denominator polynomial be factored out, as opposed to other known techniques.>

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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 algorithm does not require that the numerator or the denominator polynomial be factored out, as opposed to other known techniques.>

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Available 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 algorithm does not require that the numerator or the denominator polynomial be factored out, as opposed to other known techniques.>

Key concepts: Realization (probability), Minimal realization, Transfer function, State space, Block diagram, Representation (politics), State (computer science), Mathematics

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