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Isomorphism between Continuous and DiscreteTime Systems with Input Signals of Piecewise Polynomials
Kazuo TORAICHI Takahiko HORIUCHI
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E77A
No.5
pp.771777 Publication Date: 1994/05/25 Online ISSN:
DOI: Print ISSN: 09168508 Type of Manuscript: Special Section PAPER (Special Section on Signal Processing and System Theory) Category: Keyword: isomorphism, piecewise polynomials, digital signal processing, signals and waves,
Full Text: PDF(445.5KB)>>
Summary:
In order to realize a continuoustime system model in digital computers, we must construct a discretetime system model simulating the continuoustime processes in some characteristic aspect. Though many discretization methods have been proposed, they do not necessarily provide a discretetime system in which input, state and output are identical with the sampled values of the original continuoustime system. The isomorphism discretization that all of the input, state and output of a continuoustime system can be recovered from the corresponding discretetime system is crucial for our analysis. This paper aims at guaranteeing the isomorphism between a continuous and a discretetime system models (fluency system model) which were proposed by the authors. The isomorphism of input space had been already shown in the previous works by one of the authors. In this paper, by showing the isomorphism of the state function and output spaces, the aim will be achieved.


