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Levy噪声驱动下指数型单稳系统的随机共振特性分析

张刚 宋莹 张天骐

张刚, 宋莹, 张天骐. Levy噪声驱动下指数型单稳系统的随机共振特性分析[J]. 电子与信息学报, 2017, 39(4): 893-900. doi: 10.11999/JEIT160579
引用本文: 张刚, 宋莹, 张天骐. Levy噪声驱动下指数型单稳系统的随机共振特性分析[J]. 电子与信息学报, 2017, 39(4): 893-900. doi: 10.11999/JEIT160579
ZHANG Gang, SONG Ying, ZHANG Tianqi. Characteristic Analysis of Exponential Type Monostable Stochastic Resonance under Levy Noise[J]. Journal of Electronics & Information Technology, 2017, 39(4): 893-900. doi: 10.11999/JEIT160579
Citation: ZHANG Gang, SONG Ying, ZHANG Tianqi. Characteristic Analysis of Exponential Type Monostable Stochastic Resonance under Levy Noise[J]. Journal of Electronics & Information Technology, 2017, 39(4): 893-900. doi: 10.11999/JEIT160579

Levy噪声驱动下指数型单稳系统的随机共振特性分析

doi: 10.11999/JEIT160579
基金项目: 

国家自然科学基金(61371164),重庆市杰出青年基金(CSTC2011jjjq40002),重庆市教育委员会科研项目(KJ130524)

Characteristic Analysis of Exponential Type Monostable Stochastic Resonance under Levy Noise

Funds: 

The National Natural Science Foundation of China (61371164), The Chongqing Distinguished Youth Foundation (CSTC2011jjjq40002), The Research Project of Chongqing Educational Commission (KJ130524)

  • 摘要: 该文基于绝对值型和指数型势函数,构建了更一般的指数型单稳势函数,深入研究了Levy噪声驱动的指数型单稳系统,并总结出不同特征指数和不同对称参数下,指数型系统参数l和b,Levy噪声强度系数D对指数系统共振输出的作用规律。研究表明:在不同Levy噪声驱动下,通过调节参数l和b均可诱导随机共振(SR),且当b(或l)的取值越大时,产生较好随机共振效果l(或b)的区间越大,从而改善传统SR系统由于参数选择不当造成随机共振效果不佳的问题。此外,通过调节噪声强度系数D也能产生随机共振,且较好随机共振区间不随或变化;最后将指数型单稳系统应用于轴承故障检测,效果明显优于传统双稳系统。
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出版历程
  • 收稿日期:  2016-06-03
  • 修回日期:  2016-11-25
  • 刊出日期:  2017-04-19

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