Stochastic Resonance in a Bistable System Driven by Weak Periodic Signal With Multiple Delays

Zhang, Huiqing; Xu, Wei; Sun, Chunyan; Xu, Yong

doi:10.1142/s0217979211100667

Cited by 4 publications

(4 citation statements)

References 47 publications

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“…Subsequently, the modified mean first passage time T± from stable points to the unstable point can be written as 28…”

Section: Theoretical Frameworkmentioning

confidence: 99%

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Fault diagnosis of gearbox using multi-time-delayed feedback stochastic resonance

2016

Proceedings of the Institution of Mechanical Engineers, Part C:

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Gearbox vibration signals with defects often show some important characteristic information. However, the feature information is difficult to extract since it is often flooded in the noise. To solve this problem, we present a novel detection approach for weak signals based on the multi-time-delayed feedback stochastic resonance model (MTFSR). Because the shape of the bistable potential well can be changed by the number of time-delayed terms, the MTFSR method can use historical information which is formed by the superposition of multiple time-delayed feedback items to enhance signal periodicity and obtain better output waveform and higher signal-to-noise ratio (SNR). Moreover, the presented method is also insensitive to the noise, and can detect the weak signals with different noise levels. Additionally, by selecting the proper calculation step, the approach has the ability to detect weak signals with different driving frequencies. With these properties, the proposed MTFSR is considered to be very suitable for gearbox fault diagnosis. Both simulation study and practical application confirm that the proposed strategy is feasible and superior in comparison with some traditional methods.

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“…Subsequently, the modified mean first passage time T± from stable points to the unstable point can be written as 28…”

Section: Theoretical Frameworkmentioning

confidence: 99%

“…The MTFSR has been investigated in physical system. [26][27][28] Lu et al 23 utilize the STFSR model to deal with the problem of weak signal detection in the failure diagnosis of rotating machine. However, this work on STFSR systems focuses on the analysis of a single time-delay feedback.…”

Section: Introductionmentioning

confidence: 99%

Fault diagnosis of gearbox using multi-time-delayed feedback stochastic resonance

2016

Proceedings of the Institution of Mechanical Engineers, Part C:

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show abstract

“…We usually use the output signal-to-noise ratio (SNR) as an index to measure the degree of resonance [7], where SNR is defined as the ratio of signal power at the measured frequency point and the remainder total power except for this frequency point:…”

Section: Bistable System and Its Performance Analysismentioning

confidence: 99%

Radiated Noise Measurement of Ships Based on Stochastic Resonance

Peng¹,

Sun²,

Cheng³

2015

TOMEJ

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The radiated noise of ships involves strong low-frequency line spectrum, which is greatly related with the working states of auxiliary equipment and the rotation of propeller, and then regarded as the important basis in feature extraction of ships. Moreover, the stochastic resonance has special advantages in the extraction of weak signal. Aiming at the multi-frequency components in radiated noise of the ship with four-blade propeller, and the characteristic without adiabatic approximation assumption, a sweep-frequency stochastic resonance detection system is established in this paper. Meanwhile, a kind of detection method on multi-frequency signal with partitioning large parameters is proposed, in order to identify the components of low-frequency line spectrum in radiated noise of ship. The analysis and simulation results present that, under the strong noise background, the proposed method can still effectively detect the low-frequency line spectrum, which lays the solid foundation for the subsequent target recognition and speed estimation of the ship.

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“…However, there is no better solution method for the detection of aperiodic signal in high frequency [7], which limits the further application of SR in practice. In *Address correspondence to this author at the School of Electronic Engineering, Dongguan University of Technology, Dongguan, Guangdong, 523808, China; Tel:/Fax: 05922580081; E-mail: chengen@xmu.edu.cn audio signal, the sampling frequency can reach several kilohertz, which is far beyond the application scope of SR. Aiming at the higher frequency and aperiodicity of audio signal in practical engineering, this paper employs the bistable SR system to construct a complete detection system.…”

Section: Introductionmentioning

confidence: 99%

Detection of Weak Audio Signal in Ocean Based on Stochastic Resonance

Peng¹,

Sun²,

Cheng³

2015

TOAUTOCJ

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There are plenty of audio information in ocean, whose audio feature often brings disturbance on the detection of ocean object, and some new methods are required to realize the object classification on audio frequency. Stochastic resonance (SR) can realize the detection of weak signal. However the most researches concentrate on single weak periodic signal, and less research on aperiodic audio signal. Starting from the bistable SR system, this paper adopts the combination method of theory analysis and numerical simulation, and conducts a theoretical analysis on the detection of weak aperiodic audio signal under strong noise background. By using time scale transformation method, a complete detection system for weak digital signal is established, and it is applied in underwater audio signal. The analysis and simulation results show that the audio signal is successfully recovered in the condition that the signal-to-noise ratio (SNR) is -13dB. The research results possess a vast engineering significance on the further development and application of SR in the detection of weak audio signal.

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Stochastic Resonance in a Bistable System Driven by Weak Periodic Signal With Multiple Delays

Cited by 4 publications

References 47 publications

Fault diagnosis of gearbox using multi-time-delayed feedback stochastic resonance

Fault diagnosis of gearbox using multi-time-delayed feedback stochastic resonance

Radiated Noise Measurement of Ships Based on Stochastic Resonance

Detection of Weak Audio Signal in Ocean Based on Stochastic Resonance

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