1. Science
  2. Publications
  3. Scientific Works of Kharkiv National Air Force University
  4. 3(25)'2010
  5. The new approach to nonparametric detection of chaotic signals against a white noise with use of "nonlinear dynamic statistics"

The new approach to nonparametric detection of chaotic signals against a white noise with use of "nonlinear dynamic statistics"

P.Y. Kostenko, K.S. Vasuta, O.M. Barsukov, S.N. Symonenko
Annotations languages:


Description: In paper reasons of insufficient efficiency of the energy approach to detection of signals of the unknown "shape", based on 2-statistics use are become clear. The concept "shape" of a signal about the help of correlative dimensions of a quantity and the BDS-statistics related to it is formalized. The approach to nonparametric detection of a random signal against a white noise with an unknown density function of its significances with use BDS-statistics is analyses. Algorithms of detection of a random signal, the skeleton diagrammed of its implementation, and also ATS-algorithm of shaping of substitute signals which are used for an empirical estimate of the ration of likelihood are offered.


Keywords: nonparametric detector, BDS - statistics, ATS – attractor trajectory surrogate, signal "form", correlative dimensions

Reference:
 Kostenko, P.Yu., Vasiuta, K.S., Barsukov, A.N. and Symonenko, S.N. (2010), “Novыi podkhod k neparametrycheskomu obnaruzhenyiu khaotycheskykh syhnalov na fone beloho shuma s yspolzovanyem "nelyneinoi dynamycheskoi statystyky"”, Scientific Works of Kharkiv National Air Force University, Vol. 3(25), pp. 108-116.