Journal of Radio Electronics. eISSN 1684-1719. 2023. №10
ContentsFull text in Russian (pdf)
DOI: https://doi.org/10.30898/1684-1719.2023.10.10
DEPENDENCE OF STOCHASTIC RESONANCE
IN A NONLINEAR SYSTEM ON THE CHARACTERISTICS
OF EACH ADDITIVE COMPONENT OF THE MIXTURE
Yu.M. Veshkurtsev1, D.A. Titov2, A.S. Tabakova2
1Institute of Radioelectronics, service and diagnostics,
644077, Russia, Omsk Mira pr., 57
2Omsk State Technical University,
644050, Russia, Omsk, Mira pr., 11
The paper was received July 23, 2023
Abstract. A nonlinear system was investigated using a modeling approach, constructed based on the scheme of a digital filter using the Lyapunov characteristic function. The phenomenon of stochastic resonance was observed in the nonlinear system when there was an additive mixture of a quasi-deterministic signal and noise at the system input. Stochastic resonance improves the signal-to-noise ratio at the system output by more than 15400 times compared to its value at the system input. The recorded number may vary and represents the main characteristic of the resonance. The dependence of the stochastic resonance characteristic on the variations of the probabilistic characteristics of the quasi-deterministic signal and noise was studied. An analysis of experimental data describing the values of the characteristic and the peculiarities of the stochastic resonance effect in the nonlinear system was performed. Additionally, a connection between the value of the resonance characteristic and the total energy of the periodic signal was discovered for the first time.
Key words: stochastic resonance, Lyapunov characteristic function, digital filter, quasi-deterministic signal, digital filter noise immunity.
Corresponding author: Titov Dmitry Anatolievich, dtitov2@yandex.ru
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For citation:
Veshkurtsev Yu.M., Titov D.A., Tabakova A.S. Dependence of stochastic resonance in a nonlinear system on the characteristics of each additive component of the mixture // Journal of Radio Electronics. – 2023. – №. 10. https://doi.org/10.30898/1684-1719.2023.10.10 (In Russian)