Kalman's recognition of chaotic dynamics in designing Markov information sources

Authors
Kohda, T Fujisaki, H
Citation
T. Kohda et H. Fujisaki, Kalman's recognition of chaotic dynamics in designing Markov information sources, IEICE T FUN, E82A(9), 1999, pp. 1747-1753
Citations number
25
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
ISSN journal
09168508 → ACNP
Volume
E82A
Issue
9
Year of publication
1999
Pages
1747 - 1753
Database
ISI
SICI code
0916-8508(199909)E82A:9<1747:KROCDI>2.0.ZU;2-V
Abstract
Recently there have been several attempts to construct a Markov information source based on chaotic dynamics of the PLM (piecewise-linear-monotonic) o nto 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 o nto map is revisited and improved by using the PLM onto map with the minimu m number of subintervals.