Double stochastic resonance induced by varying potential-well depth and width

Qiao, Zijian; Liu, Jian; Ma, Xin; Liu, Jinliang

doi:10.1016/j.jfranklin.2020.12.028

Cited by 45 publications

(12 citation statements)

References 56 publications

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“…Stochastic resonance is one of the main methods in post-processing and noise reduction. 29 Here a cascaded bistable stochastic resonance (CBSR) system is applied in the signal post-processing. The movement of Brownian particle in CBSR system can be expressed as…”

Section: Signal Post-processing Through Cascaded Bistable Stochastic Resonance Systemmentioning

confidence: 99%

A two-step vibration-sound signal fusion method for weak fault feature detection in rolling bearing systems

Yan

Choi

et al. 2021

Advances in Mechanical Engineering

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The vibration and sound signals get widely applications in fault diagnosis of rolling bearing systems, but the detection accuracy is unstable at different measuring positions. This paper puts forward a two-step vibration-sound signal fusion method, in which sound signal fusion and vibration-sound signal fusion are executed respectively. The sound signals are fused through weighting to the vibration signal to reduce the influence by measuring positions, and the phase difference is eliminated by a sliding window on the time axis. Then a second fusion between the vibration signal and sound signal is conducted after normalization and superposition, and the performance of two-step fusion is compared with the existing direct fusion. Results show that the two-step fusion provides a larger signal-to-noise ratio, and the amplitudes of characteristic frequencies are also higher. A cascaded bistable stochastic resonance system is applied in the post-processing of the fusion signal to make the signal features more clear, and it is proved that the fault detection effect has an obvious improvement after the whole process. This method provides a new approach for weak fault feature detection in vibration and sound signals, and is of great significance for the maintenance of rolling bearing systems.

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Section: Signal Post-processing Through Cascaded Bistable Stochastic Resonance Systemmentioning

confidence: 99%

A two-step vibration-sound signal fusion method for weak fault feature detection in rolling bearing systems

Yan

Choi

et al. 2021

Advances in Mechanical Engineering

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“…In Ref. [ 18 ], the relationship between the SNR and the depth and width of the potential well is studied, while the relationship to various noises is detailed. Xu et al used two kinds of noise to drive asymmetric SR, derived some parameter expressions of the system, and studied the SR phenomenon at this time [ 19 ].…”

Section: Introductionmentioning

confidence: 99%

A Novel Piecewise Tri-Stable Stochastic Resonance System Driven by Dichotomous Noise

Zhao

Shi

2023

Sensors

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Stochastic resonance (SR) has been widely studied as a means of signal processing since its conception. Since SR is different from other denoising methods in nature, it can be used for not only feature extraction but also signal enhancement. Additive white Gaussian noise (AWGN) is often used as a driving source in SR research due to its convenience in numerical simulation and uniform distribution, but as a special noise, it is of great significance to study the SR principle of dichotomous noise as a driving source for nonlinear dynamics. In this paper, the method of piecewise tri-stable SR (PTSR) driven by dichotomous noise is studied, and it is verified that signal enhancement can still be achieved in the PTSR system. At the same time, the influence of the parameters of the PTSR system, periodic signal, and dichotomous noise on the mean of signal-to-noise ratio gain (SNR-GM) is analyzed. Finally, dichotomous noise and AWGN are used as the driving sources of the PTSR system, and the signal enhancement ability and noise resistance ability of the two drivers are compared.

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“…The scholars have continuously improved and proposed new SR systems based on the classical bistable stochastic resonance (CBSR) system [8]. Qiao et al [9] explored the role of potential-well depth and width on improved symmetric bistable SR system. Zhang et al [10] presented a monostable SR model by changing the exponent of the classical bistable potential function.…”

Section: Introductionmentioning

confidence: 99%

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

2022

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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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Double stochastic resonance induced by varying potential-well depth and width

Cited by 45 publications

References 56 publications

A two-step vibration-sound signal fusion method for weak fault feature detection in rolling bearing systems

A two-step vibration-sound signal fusion method for weak fault feature detection in rolling bearing systems

A Novel Piecewise Tri-Stable Stochastic Resonance System Driven by Dichotomous Noise

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

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