Using unstable periodic orbits to overcome distortion in chaotic signals.
Proposals to use chaos for communications have been hindered by the fact that broadband chaotic signals are distorted by narrow band or frequency dependent communications channels. I show in this paper how the unstable periodic orbits from a chaotic attractor may be used to estimate the parameters of a filter that has acted on a signal from that attractor and estimate the chaotic signal, even when additive noise larger than the chaotic signal is present.
Carroll
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U.S. Naval Research Laboratory, Code 6345, Washington, DC 20375, USA.