On the Use of Nonlinear Dynamics Methods for Detecting Signals in the Presence of Noise
DOI:
https://doi.org/10.52575/2687-0932-2025-52-2-455-464Keywords:
signal, noise, Hurst exponent, BDS-statistic, two-stage methodAbstract
The purpose of this article is to develop a two-stage method for detecting signals based on nonlinear dynamics in the presence of noise. It is indicated that the classical approach for detecting signals is the use of an energy detector and its various modifications. Certain disadvantages of this approach are shown, in particular, the dependence of the detection threshold on the generally unknown spectral noise power density and some others. The study reveals that a promising approach to the detection of signals is the use of nonlinear dynamics methods. The results obtained from known sources show that various methods of detecting signals based on nonlinear dynamics have both advantages and disadvantages. An integrated application of a set of nonlinear dynamics methods for detecting signals in the presence of noise is a promising approach which makes it possible to use their best qualities and offset the influence of disadvantages. Taking into account individual results from some sources, the authors have developed a two-stage method for detecting signals based on Hurst exponent H and BDS-statistics w(ε), providing a description. The evaluation of the developed method for detecting signals is carried out using the example of signals widely used in info-communication systems. The generalized conclusions based on the results of the study show that the combined use of Hurst exponent H and BDS-statistics w(ε) makes it possible to detect various classes of signals with sufficiently high reliability, the signal-to-noise ratio of which is on the order of SNR>–8 dB. The results obtained, depending on the field of their application, may help in future development of improved methods for ensuring reliable information processing and ensuring noise immunity of information communications for the purposes of transmitting, storing and protecting information, as well as evaluating these indicators.
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