Stochastic resonance in an asymmetric bistable system driven by multiplicative and additive trichotomous noises

In order to improve the weak signal processing capability of stochastic resonance (SR), a new asymmetric SR system with nonlinear jointed potential function is proposed in this paper. Firstly, the new joint potential stochastic resonance (JPSR) system is built by combined gaussian potential function and asymmetric bistable potential function. Secondly, the analytical expression of signal-to-noise ratio (SNR) is derived based on two-state theory and adiabatic approximation theory. Meanwhile, the influence of system parameters on SNR is discussed theoretically. Thirdly, by particle swarm optimization algorithm, the JPSR system is applied to detect actual bearing fault signals. Finally, according to numerial simulation, the results show that the proposed system can detect weak signal characteristics more effectively.

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“…Based on the steepest decent method [13], the MFPT [32], [33] in different directions of the system can be described as…”

Section: Stochastic Resonance Of Joint Potential Stochastic Resonance...mentioning

confidence: 99%

Stochastic Resonance of Asymmetric Joint Potential System and Its Application in Weak Signal Detection

2022

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“…The theory of SR was firstly put forward by Benzi et al [8] and has been widely used in signal processing fields [9]. At present, the classical model of SR is usually a bistable system [10][11][12]. In fact, SR can be presented in a variety of non-linear systems.…”

Section: Introductionmentioning

confidence: 99%

Realising the decomposition of a multi‐frequency signal under the coloured noise background by the adaptive stochastic resonance in the non‐linear system with periodic potential

Huang

Zhang

et al. 2018

IET signal process.

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The authors investigate a multi-frequency signal which is decomposed failure by the traditional empirical mode decomposition (EMD) method. Moreover, the multi-frequency signal submerged in the coloured noise increases the difficulty in signal decomposition. As a result, this noisy signal is decomposed unsuccessfully by the cooperation of the adaptive stochastic resonance (SR) in the classic bistable system and EMD. Then, a method combined adaptive SR in the periodic potential system and EMD is put forward to realise the decomposition. Meanwhile, the random particle swarm optimisation algorithm is applied to reach the optimal situation when signal-to-noise ratio attains the maximum value. Different simulation results verify the effectiveness of the proposed method. The proposed method might be useful in dealing with signal processing problems.

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Phenomenon of stochastic resonance for an underdamped monostable system with multiplicative and additive noise

et al. 2021

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Stochastic resonance in an asymmetric bistable system driven by multiplicative and additive trichotomous noises

Cited by 14 publications

References 19 publications

Stochastic Resonance of Asymmetric Joint Potential System and Its Application in Weak Signal Detection

Stochastic Resonance of Asymmetric Joint Potential System and Its Application in Weak Signal Detection

Realising the decomposition of a multi‐frequency signal under the coloured noise background by the adaptive stochastic resonance in the non‐linear system with periodic potential

Phenomenon of stochastic resonance for an underdamped monostable system with multiplicative and additive noise

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