Title :
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
fDate :
27 Jun-1 Jul 1994
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;
Conference_Titel :
Information Theory, 1994. Proceedings., 1994 IEEE International Symposium on
Conference_Location :
Trondheim
Print_ISBN :
0-7803-2015-8
DOI :
10.1109/ISIT.1994.394650
