Nonparametric BDS detector of chaotic signals against the background of white noise
Keywords:nonparametric detector, BDS-statistics, ATS-attractor trajectory surrogate, signal form, correlative dimension
This paper includes an algorithm proposed for detecting a chaotic signal, the functional block diagram for implementing the algorithm proposed, and also the ATS algorithm for generation of surrogate signals that are used in a detector for empirical estimation of the likelihood ratio. A comparative analysis of the detection characteristics obtained by using a conventional (energy) approach and the proposed approach based on using topological properties of signals and noises.
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