Nonlinear Phenomena in Complex Systems, 2002, Vol.5, No.1, pp.59-70

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2002, Vol.5, No.1, pp.59-70

Information Approach to Separation of Chaotic Signals
Yu.V. Andreyev, A.S. Dmitriev, and E.V. Efremova

The problem of separation of the sum of chaotic signals into individual components in the presence of noise is considered. An existence of a noise threshold above which high-quality separation is impossible is shown. This effect is justified on the basis of information theory and a theoretical estimate is given for the threshold. A method for signal separation is proposed, which uses iteration of the chaotic sources equations in reverse time. The method allows to approach the theoretical limit threshold.
Key words: chaos, synchronization, channel noise, information theory, information-carrying capacity, logistic map, signal cleaning, separation

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