Separating a mixture of chaotic signals

Details Separating a mixture of chaotic signals Separating a mixture of chaotic signals

2009-05-02

arxiv.org/abs/0905.0212v1

Nonlinear Sciences

Chaotic Dynamics

9 pages, 7 figures. This paper was presented at International Conference on Non-linear Dynamics and Chaos: Advances and Perspe

Scientific paper

Chaos is popularly associated with its property of sensitivity to initial conditions. In this paper we will show that there can be a flip side to this property which is quite fascinating and highly useful in many applications. As a result, we can mix a large number of chaotic signals and one completely arbitrary signal and later a recipient of this transformed and weighted mixture can separate each of the signals, one by one. The chaotic signals, could be generated by various maps which belong to the logistic family. The arbitrary signal, could be a message, some random noise, some periodic signal or a chaotic signal generated by a source, either belonging or not belonging to the family. The key behind this procedure is a family of maps which can dovetail into each other without altering each of their predecessor's symbolic sequence.

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