On representation of chaotic and non-chaotic sequences of the iterated logistic map

Author

Morris, Joel M. ; Azari, Asgar

Author_Institution

Dept. of Electr. Eng., Maryland Univ., Baltimore, MD, USA

fYear

1994

fDate

27 Jun-1 Jul 1994

Firstpage

368

Abstract

It has been demonstrated by a number of investigators that there is a relationship between chaotic signals and systems and communications and information theory. In particular, it has been shown that the output sequences of chaotic non-linear dynamic systems can be exploited for encoding information, for modulating waveforms in spread spectrum applications, and for masking information-bearing waveforms in secure communication applications. An information theoretic relationship can be obtained from the concepts of Markov partitions, metric entropy, symbolic dynamics, and topological entropy

Keywords

Markov processes; chaos; encoding; entropy; iterative methods; modulation; nonlinear dynamical systems; sequences; signal representation; spread spectrum communication; Markov partitions; chaotic nonlinear dynamic systems; chaotic sequences; chaotic signals; communications theory; encoding; information theory; information-bearing waveforms masking; iterated logistic map; metric entropy; nonchaotic sequences; output sequences; secure communication applications; signal representation; spread spectrum applications; symbolic dynamics; topological entropy; waveforms modulation; Chaos; Chaotic communication; Circuits; Encoding; Entropy; Equations; Logistics; Nonlinear systems; Polynomials; Spread spectrum communication;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Theory, 1994. Proceedings., 1994 IEEE International Symposium on

Conference_Location

Trondheim

Print_ISBN

0-7803-2015-8

Type

conf

DOI

10.1109/ISIT.1994.394650

Filename

394650