Analysis of weak signal detection based on tri-stable system under Levy noise
Analysis of weak signal detection based on tri-stable system under Levy noise
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Levy噪声下基于三稳态系统的微弱信号检测分析
DOI：
10.1088/1674-1056/25/6/060501
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发表时间：
2016-05
影响因子：
1.7
通讯作者：
Song Ying
中科院分区：
文献类型：
--
作者：
He Li-Fang;Cui Ying-Ying;Zhang Tian-Qi;Zhang Gang;Song Ying
随机共振系统是提取微弱信号的有效方法。然而，系统输出直接受系统参数的影响。针对这一问题，将Levy噪声与三稳态随机共振系统相结合。将平均信噪比增益作为衡量随机共振现象的指标。深入分析了Levy噪声下三稳态随机共振的特性。首先详细介绍了Levy噪声的产生方法、三稳态系统参数对势函数和相应势力的影响。然后，在不同的Levy噪声下，研究了三稳态系统参数w，a，B和Levy噪声强度放大因子D对谐振输出的影响。最后，将三稳态随机共振系统应用于轴承故障检测。仿真结果表明，在不同分布的Levy噪声下，通过调节系统参数w、a和B，可以诱导出随机共振现象，从而实现微弱信号的检测。引起随机共振的参数区间近似相等。此外，通过调节Levy噪声的强度放大因子D，可以类似地发生随机共振。在轴承故障检测中，三稳态随机共振系统的检测效果上级双稳态随机共振系统。
Stochastic resonance system is an effective method to extract weak signal. However, system output is directly influenced by system parameters. Aiming at this, the Levy noise is combined with a tri-stable stochastic resonance system. The average signal-to-noise ratio gain is regarded as an index to measure the stochastic resonance phenomenon. The characteristics of tri-stable stochastic resonance under Levy noise is analyzed in depth. First, the method of generating Levy noise, the effect of tri-stable system parameters on the potential function and corresponding potential force are presented in detail. Then, the effects of tri-stable system parameters w, a, b, and Levy noise intensity amplification factor D on the resonant output can be explored with different Levy noises. Finally, the tri-stable stochastic resonance system is applied to the bearing fault detection. Simulation results show that the stochastic resonance phenomenon can be induced by tuning the system parameters w, a, and b under different distributions of Levy noise, then the weak signal can be detected. The parameter intervals which can induce stochastic resonances are approximately equal. Moreover, by adjusting the intensity amplification factor D of Levy noise, the stochastic resonances can happen similarly. In bearing fault detection, the detection effect of the tri-stable stochastic resonance system is superior to the bistable stochastic resonance system.
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影响因子：
2.9
作者：
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通讯作者：
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影响因子：
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作者：
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DOI：
10.1080/01621459.1976.10480344
发表时间：
1976-06
影响因子：
3.7
作者：
J. Chambers;C. Mallows;B. Stuck
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影响因子：
2.9
作者：
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DOI：
10.1103/physreve.85.046207
发表时间：
2012-04
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
--
作者：
yangxin Tang;W. Zou;Jianquan Lu;J. Kurths
通讯作者：
yangxin Tang;W. Zou;Jianquan Lu;J. Kurths