Regular Article

Levy noise-driven stochastic resonance in a coupled monostable system

School of Science, Tianjin Polytechnic University, Tianjin 300160, P.R. China

^a e-mail: youruomenglan@163.com

Received: 28 August 2018
Received in final form: 13 November 2018
Published online: 16 January 2019

Abstract

Treating the signal-to-noise ratio (SNR) as the signal quality index, the stochastic resonance (SR) phenomenon in a coupled monostable system (CMS), which is nonlinearly constructed from two monostable systems with a feedback factor and driven by Levy noise, is investigated. First, the construction principle of the coupled system is analysed, and the mechanism of SR is explained from the perspective of microscopic particle motion. Second, the method of parameter adjustment is detailed, and the variations in the system output SNR with changes in different parameters are analysed. Finally, multichannel signals are applied to the coupled system. The research results show that (1) the system parameter intervals remain unchanged with variations in the characteristic noise parameter α when the system outputs the optimal SNR for single-channel signals; (2) in extracting single-channel, three-channel and five-channel signals, the optimal interval of parameter r does not change; and (3) by adjusting the value of the system parameter a, the differences among the power spectrum values of the different channel signals can be reduced. The SR induced by the CMS is greater than that for a monostable system.