Research and application of stochastic resonance in quad-stable potential system

He, Lifang; Liu, Qiuling; Zhang, Tianqi

doi:10.1088/1674-1056/ac4228

Cited by 6 publications

(4 citation statements)

References 44 publications

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“…As mentioned earlier, the quasi-periodic potential characteristics of QPPSR break through the output saturation of classical systems, theoretically achieving superior performance. To confirm the superiority of QPPSR, a performance comparison is conducted with the widely applied classical tristable stochastic resonance system (CTSR) [34] and the empirically superior classical quad-stable stochastic resonance system (CQSR) [35]. Here, signal-to-noise ratio increase (SNRI) is chosen as the performance indicator, defined as follows:…”

Section: Performance Analysis Of the Qppsr Systemmentioning

confidence: 99%

A novel comprehensive method for weak signal blind detection based on adaptive quasi-periodic potential stochastic resonance and its application in bearing fault detection

He,

Jiang,

Gao

2024

Phys. Scr.

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In order to solve the common output saturation of stochastic resonance systems and the limitation of classical index SNR for blind detection, a novel adaptive quasi-periodic potential stochastic resonance blind detection method is proposed. First, a model of quasi-periodic potential stochastic resonance (QPPSR) possessing infinite steady state is constructed and analyzed for its structure change pattern. The superior performance of the model is verified by using the fourth-order Runge-Kutta algorithm. Secondly, the mechanism of QPPSR is analyzed using the probability flow method, which reveals the relationship between system parameters and performance. Again, a novel comprehensive blind detection index (CBDI) is exquisitely constructed to make up for the shortcomings of each indicator. Finally, CBDI and QPPSR are constructed into an adaptive blind detection system and applied to bearing fault detection. The results analyzed by experiments verify the good engineering application prospect of CBDI-QPPSR.

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Section: Performance Analysis Of the Qppsr Systemmentioning

confidence: 99%

A novel comprehensive method for weak signal blind detection based on adaptive quasi-periodic potential stochastic resonance and its application in bearing fault detection

He,

Jiang,

Gao

2024

Phys. Scr.

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“…where t ( ) G is the Gaussian white noise with zero mean and intensity D, s t A ft sin 2 ( ) ( ) = p is the periodic force with amplitude A and characteristic frequency f [5,37]. In addition, V x ( ) is the fourth-stable potential function [38,39] with the following expression.…”

Section: Sr In An Underdamped Nonlinear System With a Fourth-stable P...mentioning

confidence: 99%

Fourth-stable stochastic resonance and its application to weak fault signal detection of rotating machinery

Yun,

Zhang,

Shang

et al. 2024

Phys. Scr.

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Weak characteristic extraction is vital for weak fault signal detection of machinery. Stochastic resonance (SR) is able to transfer noise energy into weak fault characteristic frequency excited by a defect of machines. However, the potential function in SR is vital to enhance weak fault characteristic frequency and determines the capability of SR to improve the signal-to-noise ratio (SNR) of a noisy signal. Now, common potential functions include monostable, bistable and even tri-stable potentials but fourth-stable SR has not been studied and applied to detect early fault characteristic frequency. In this paper, thus, we would investigate the behaviors of SR with a fourth-stable potential subject to additive noise, in which the approximate theoretical expression of the power done by SR is derived to demonstrate the fourth-stable SR. Then, a SR method with the fourth-stable potential is proposed to enhance weak fault characteristic frequency, in which these system parameters are adjusted by using SNR as the objective function and using genetic algorithms adaptively. In this paper, thus, Finally, the proposed method is verified by using a simulated signal with noise and two early fault experiment of rolling element bearings with different levels of defects on the outer and inner races. Moreover, the proposed method is compared with wavelet denoising and fast kurtogram methods. The comparisons indicate that the proposed method has the better performance for enhancing weak fault characteristic frequency or weak useful signals than other two methods and is available to weak fault signal detection of machinery.

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“…In such cases, it compromises processing power significantly, resulting in subpar image processing outcomes. In recent years, stochastic resonance theory [13][14][15] has been applied extensively in detecting weak signals. Originating from Italian scholar Benzi in 1981 [15] during research on ancient meteorological glaciers, this theory explains how noise, periodic input signals, and nonlinear systems work together to convert noise energy into useful signal energy, ultimately enhancing the signal-to-noise ratio of the output.…”

Section: Introductionmentioning

confidence: 99%

Enhancement of laser noise image based on photorefractive nonlinearity of lithium niobate crystals

Gao,

Han

et al. 2024

Preprint

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Enhancement of laser noise image based on stochastic resonance process in lithium niobate crystals is studied theoretically and experimentally in this paper. A noise function based on the refractive change in crystal is proposed for the numerical simulation. The simulation results show that the presence of noise can induce the optical nonlinearity in lithium niobate crystals to change from self-defocusing to self-focusing. Under an appropriate noise intensity, the strongest stochastic resonance process can occur, resulting in restored the image signal submerged by noise eventually. There is a good agreement between the experimental and numerical results. When a single noise image is transmitting in a nonlinear crystal system, the stochastic resonance process is considered to be the result of the self-coupling between the scattered noise and the transmitted signal when the noise and signal are scattered simultaneously in the crystal. The research results in this paper can provide theoretical and experimental guidance for the early acquisition and post-processing of images containing inherent noise, and will promote the industrialization of noise information sensing technology largely.

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Research and application of stochastic resonance in quad-stable potential system

Cited by 6 publications

References 44 publications

A novel comprehensive method for weak signal blind detection based on adaptive quasi-periodic potential stochastic resonance and its application in bearing fault detection

A novel comprehensive method for weak signal blind detection based on adaptive quasi-periodic potential stochastic resonance and its application in bearing fault detection

Fourth-stable stochastic resonance and its application to weak fault signal detection of rotating machinery

Enhancement of laser noise image based on photorefractive nonlinearity of lithium niobate crystals

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