Implication of two-coupled tri-stable stochastic resonance in weak signal detection

Li, Quanquan; Xu, Xuemei; Liang, Yin; Ding, Yipeng; Ding, Junnan; Sun, Kehui

doi:10.1088/1674-1056/27/3/034203

Cited by 21 publications

(12 citation statements)

References 21 publications

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“…Reference [17] proposed a novel adaptive stochastic resonance method based on coupled bistable systems, which compared with the cascaded bistable stochastic resonance system and suggested that coupled bistable SR system can enhance the target signal while suppressing the low-frequency and highfrequency interferences, whose output behavior exhibited good bandpass filtering characteristic. In Addition, multistable coupled systems have been researched continuously [18][19][20][21]. Based on the linear response theory, the output spectral amplification factor of the coupled system to the external periodic driving force is derived using the probability flow method, and the spectral amplification factor is further improved by adjusting the coupling coefficient and asymmetry factor.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Modulation Stochastic Resonance of Two-Dimensional Asymmetric Bistable System and its Application in Bearing Fault Diagnosis

2021

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A two-dimensional asymmetric bistable stochastic resonance (TABSR) system model is proposed, and the parameter optimization is performed adaptively by genetic algorithm (GA). In essence, the model is coupled by a monostable model with an asymmetric piecewise-linear model by means of linear coupling. The monostable model is used as the control system, and the asymmetric piecewise-linear model is used as the controlled system. A set of parameters of the controlled system is firstly obtained, so the TABSR system model can achieve better performance by adjusting the parameters and coupling coefficients of the control system. The output signal-to-noise ratio (SNR) formula of the two-dimensional model is derived and compared with the asymmetric piecewise-linear stochastic resonance (APSR) model. Then the effects of system parameters and coupling coefficients of the control system on system performance are explored. Through numerical simulation, the correctness of the theoretical analysis is verified, and the system is proved to have high theoretical research value. Finally, TABSR is applied to industrial bearing fault diagnosis to recognize weak fault signals which shows the practical application value and the comprehensive performance comparison with APSR is conducted to validate the advancement of TABSR.

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Section: Introductionmentioning

confidence: 99%

Adaptive Modulation Stochastic Resonance of Two-Dimensional Asymmetric Bistable System and its Application in Bearing Fault Diagnosis

2021

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“…[22] Subsequently, Xu et al have made some progress in the random non-smooth system. [23] Also, there are many researchers to obtain advances in SR. [24][25][26][27][28][29] In addition, the researchers also proposed many new SR models such as the Woods-Saxon model. [30][31][32] However, for most domestic and foreign research on SR, the classic bistable SR model based on four-time reflection symmetry potential is mostly studied.…”

Section: Introductionmentioning

confidence: 99%

NovelWoods–Saxon stochastic resonance system for weak signal detection*

Zhou

Liang

et al. 2020

Chinese Phys. B

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We propose a joint exponential function and Woods–Saxon stochastic resonance (EWSSR) model. Because change of a single parameter in the classical stochastic resonance model may cause a great change in the shape of the potential function, it is difficult to obtain the optimal output signal-to-noise ratio by adjusting one parameter. In the novel system, the influence of different parameters on the shape of the potential function has its own emphasis, making it easier for us to adjust the shape of the potential function. The system can obtain different widths of the potential well or barrier height by adjusting one of these parameters, so that the system can match different types of input signals adaptively. By adjusting the system parameters, the potential function model can be transformed between the bistable model and the monostable model. The potential function of EWSSR has richer shapes and geometric characteristics. The effects of parameters, such as the height of the barrier and the width of the potential well, on SNR are studied, and a set of relatively optimal parameters are determined. Moreover, the EWSSR model is compared with other classical stochastic resonance models. Numerical experiments show that the proposed EWSSR model has higher SNR and better noise immunity than other classical stochastic resonance models. Simultaneously, the EWSSR model is applied to the detection of actual bearing fault signals, and the detection effect is also superior to other models.

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“…[6] The SR studies mainly focus on bistable stochastic resonance but also including monostable stochastic resonance [7][8][9] and tristable stochastic resonance. [10][11][12] The SR of this paper is referred to as the bistable stochastic resonance.…”

Section: Introductionmentioning

confidence: 99%

Asymmetric stochastic resonance under non-Gaussian colored noise and time-delayed feedback*

Shi

Sun

et al. 2020

Chinese Phys. B

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Based on adiabatic approximation theory, in this paper we study the asymmetric stochastic resonance system with time-delayed feedback driven by non-Gaussian colored noise. The analytical expressions of the mean first-passage time (MFPT) and output signal-to-noise ratio (SNR) are derived by using a path integral approach, unified colored-noise approximation (UCNA), and small delay approximation. The effects of time-delayed feedback and non-Gaussian colored noise on the output SNR are analyzed. Moreover, three types of asymmetric potential function characteristics are thoroughly discussed. And they are well-depth asymmetry (DASR), well-width asymmetry (WASR), and synchronous action of well-depth and well-width asymmetry (DWASR), respectively. The conclusion of this paper is that the time-delayed feedback can suppress SR, however, the non-Gaussian noise deviation parameter has the opposite effect. Moreover, the correlation time plays a significant role in improving SNR, and the SNR of asymmetric stochastic resonance is higher than that of symmetric stochastic resonance. Our experiments demonstrate that the appropriate parameters can make the asymmetric stochastic resonance perform better to detect weak signals than the symmetric stochastic resonance, in which no matter whether these signals have low frequency or high frequency, accompanied by strong or weak noise.

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Implication of two-coupled tri-stable stochastic resonance in weak signal detection

Cited by 21 publications

References 21 publications

Adaptive Modulation Stochastic Resonance of Two-Dimensional Asymmetric Bistable System and its Application in Bearing Fault Diagnosis

Adaptive Modulation Stochastic Resonance of Two-Dimensional Asymmetric Bistable System and its Application in Bearing Fault Diagnosis

NovelWoods–Saxon stochastic resonance system for weak signal detection*

Asymmetric stochastic resonance under non-Gaussian colored noise and time-delayed feedback*

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