Dynamic Separation of Chaotic Signals in the Presence of Noise

Details Dynamic Separation of Chaotic Signals in the Presence of Noise Dynamic Separation of Chaotic Signals in the Presence of Noise

2001-07-17

arxiv.org/abs/nlin/0107036v1

Nonlinear Sciences

Chaotic Dynamics

PDF, 12 pages, 6 figures, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.65.046220

The problem of separation of an observed sum of chaotic signals into the individual components in the presence of noise on the path to the observer is considered. A noise threshold is found above which high-quality separation is impossible. Below the threshold, each signal is recovered with any prescribed accuracy. This effect is shown to be associated with the information content of the chaotic signals and a theoretical estimate is given for the threshold.

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