Nonparametric BDS detector of chaotic signals against the background of white noise

Pavlo Yu. Kostenko; Kostiantyn S. Vasiuta; S. N. Symonenko; A. N. Barsukov

doi:10.3103/S0735272711010031

Authors

Pavlo Yu. Kostenko Ivan Kozhedub Kharkiv National Air Force University, Ukraine https://orcid.org/0000-0002-3382-0684
Kostiantyn S. Vasiuta Ivan Kozhedub Kharkiv National Air Force University, Ukraine https://orcid.org/0000-0002-1978-3717
S. N. Symonenko Kharkiv Air Force University, Ukraine
A. N. Barsukov Kharkiv Air Force University, Ukraine

DOI:

https://doi.org/10.3103/S0735272711010031

Keywords:

nonparametric detector, BDS-statistics, ATS-attractor trajectory surrogate, signal form, correlative dimension

Abstract

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.

References

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