&nbsp;稳定分布噪声下非对称三稳系统的随机共振特性分析

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (3) : 109-115.

论文

稳定分布噪声下非对称三稳系统的随机共振特性分析

张刚，谢攀，张天骐

作者信息 +

Stochastic resonance characteristics analysis of an asymmetric tri-stable system under α-stable distributed noise

ZHANG Gang, XIE Pan, ZHANG Tianqi

Author information +

文章历史 +

摘要

针对实际工程应用中系统的非对称性，将稳定分布噪声与非对称三稳系统相结合，以平均信噪比增益( )为性能指标，分别探究了稳定分布噪声的特征指数和对称参数取不同值时，系统参数、，刻画三稳系统非对称性的偏度以及噪声强度放大系数对非对称三稳系统随机共振输出的规律。研究结果表明：在稳定分布噪声环境下，通过适当调节系统结构参数、和偏度均可诱导随机共振，实现对微弱信号的检测，并且性能较好区间不随或的变化而改变；在研究噪声诱导的随机共振现象时，调节噪声强度放大系数也可诱导随机共振，且共振效果较好的区间也不随或的变化而变化。这些研究结论为稳定分布噪声下非对称三稳系统共振中参数的合理选取提供了理论依据。

Abstract

Here, aiming at the asymmetry of a system in practical engineering applications, an asymmetric tri-stable system combined with α-stable distributed noise was proposed, and the average signal-to-noise ratio improvement was taken as the performance index. Then, influence laws of the system parameters a, b, system asymmetric skewness r and noise intensity amplification factor D on the stochastic resonant output of the asymmetric tri-stable system with changes of the characteristic index α of α-stable distributed noise and the symmetry parameter β were explored. The study results showed that under α-stable distributed noise environment, appropriately adjusting the system structure parameters a, b and skewness r can induce stochastic resonance to realize the weak signal detection, and intervals with better performance do not change with variation of α or β; when sudying noise-induced stochastic resonance phenomena, adjusting the noise intensity amplification factor D can also induce stochastic resonance, and D-intervals with better resonance effect does not change with variation of α or β; these conclusions provide a theoretical basis for reasonable selection of parameters in resonance of asymmetric tri-stable system under α-stable distributed noise.

导出引用

张刚，谢攀，张天骐. 稳定分布噪声下非对称三稳系统的随机共振特性分析[J]. 振动与冲击, 2021, 40(3): 109-115

ZHANG Gang, XIE Pan, ZHANG Tianqi. Stochastic resonance characteristics analysis of an asymmetric tri-stable system under α-stable distributed noise[J]. Journal of Vibration and Shock, 2021, 40(3): 109-115

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