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Kalman's Recognition of Chaotic Dynamics in Designing Markov Information Sources

Tohru KOHDA, Hiroshi FUJISAKI

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Summary :

Recently there have been several attempts to construct a Markov information source based on chaotic dynamics of the PLM (piecewise-linear-monotonic) onto maps. Study, however, soon informs us that Kalman's 1956 embedding of a Markov chain is to be highly appreciated. In this paper Kalman's procedure for embedding a prescribed Markov chain into chaotic dynamics of the PLM onto map is revisited and improved by using the PLM onto map with the minimum number of subintervals.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E82-A No.9 pp.1747-1753
Publication Date
1999/09/25
Publicized
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Type of Manuscript
Special Section PAPER (Special Section on Nonlinear Theory and Its Applications)
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