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Effects of error feedback on a nonlinear bistable system with stochastic resonance

Chinese Physics B 2012年第11期21卷 108-113页

作者：李建龙周辉 Department of Information Science&Electronic Engineering Zhejiang University Zhejiang Provincial Key Laboratory of Information Network Technology

In this paper, we discuss the effects of error feedback on the output of a nonlinear bistable system with stochastic resonance. The bit error rate is employed to quantify the performance of the system. The theoretical analysis and the numerical simulation are presented. By investigating the performances of the nonlinear systems with different strengths of error feedback, we argue that the presented system may provide guidance for practical nonlinear signal processing.

关键词： stochastic resonance nonlinear bistable system error feedback bit error rate

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The Availability of Logical Operation for a nonlinear bistable system Induced by Dichotomous Noise

The Availability of Logical Operation for a Nonlinear Bistab...

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第十四届全国非线性振动暨第十一届全国非线性动力学和运动稳定性学术会议

作者： Yong Xu Xiaoqin Jin Huiqing Zhang Tingting Yang Department of Applied Mathematics Northwestern Polytechnical University

Based on stochastic resonance the concept of logical stochastic resonance was put *** of a continuous system driven by Gaussian white noise here we mainly studied a nonlinear bistable system with two thresholds driven... 详细信息

关键词： nonlinear bistable system escape rate logical stochastic resonance dichotomous noise correlation time

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Enhanced Detection of Rolling Element Bearing Fault Based on Stochastic Resonance

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Chinese Journal of Mechanical Engineering 2012年第6期25卷 1287-1297页

作者： ZHANG Xiaofei HU Niaoqing CHENG Zhe HU Lei Key Laboratory of Science and Technology on Integrated Logistics Support National University of Defense TechnologyChangsha 410073China

Early bearing faults can generate a series of weak impacts. All the influence factors in measurement may degrade the vibration signal. Currently, bearing fault enhanced detection method based on stochastic resonance（SR） is implemented by expensive computation and demands high sampling rate, which requires high quality software and hardware for fault diagnosis. In order to extract bearing characteristic frequencies component, SR normalized scale transform procedures are presented and a circuit module is designed based on parameter-tuning bistable SR. In the simulation test, discrete and analog sinusoidal signals under heavy noise are enhanced by SR normalized scale transform and circuit module respectively. Two bearing fault enhanced detection strategies are proposed. One is realized by pure computation with normalized scale transform for sampled vibration signal, and the other is carried out by designed SR hardware with circuit module for analog vibration signal directly. The first strategy is flexible for discrete signal processing, and the second strategy demands much lower sampling frequency and less computational cost. The application results of the two strategies on bearing inner race fault detection of a test rig show that the local signal to noise ratio of the characteristic components obtained by the proposed methods are enhanced by about 50% compared with the band pass envelope analysis for the bearing with weaker fault. In addition, helicopter transmission bearing fault detection validates the effectiveness of the enhanced detection strategy with hardware. The combination of SR normalized scale transform and circuit module can meet the need of different application fields or conditions, thus providing a practical scheme for enhanced detection of bearing fault.

关键词： bearing fault stochastic resonance normalized scale transform nonlinear bistable system

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