组合型幂指函数三稳态随机共振微弱信号检测

doi:10.11772/j.issn.1001-9081.2018010192

计算机应用 ›› 2018, Vol. 38 ›› Issue (9): 2747-2752.DOI: 10.11772/j.issn.1001-9081.2018010192

• 应用前沿、交叉与综合 • 上一篇

组合型幂指函数三稳态随机共振微弱信号检测

张刚, 高俊鹏

信号与信息处理重庆市重点实验室(重庆邮电大学), 重庆 400065

收稿日期:2018-01-22 修回日期:2018-04-10 出版日期:2018-09-10 发布日期:2018-09-06
通讯作者: 高俊鹏
作者简介:张刚(1976—),男,重庆人,副教授,博士,主要研究方向:混沌保密通信、微弱信号检测;高俊鹏(1988—),男,河南驻马店人,硕士研究生,主要研究方向:微弱信号检测。
基金资助:
国家自然科学基金资助项目（61671095，61371164）；信号与信息处理重庆市市级重点实验室建设项目（CSTC2009CA2003）；重庆市教育委员会科研项目（KJ1600427，KJ1600429）

Weak signal detection based on combination of power and exponential function model in tri-stable stochastic resonance

ZHANG Gang, GAO Junpeng

Chongqing Key Laboratory of Signal and Information Processing(Chongqing University of Posts and Telecommunications), Chongqing 400065, China

Received:2018-01-22 Revised:2018-04-10 Online:2018-09-10 Published:2018-09-06
Contact: 高俊鹏
Supported by:
This work is partially supported by the National Natural Science Foundation of China (61671095, 61371164), the Project of Chongqing Key Laboratory of Signal and Information Processing (CSTC2009CA2003), the Research Project of Chongqing Educational Commission (KJ1600427, KJ1600429).

摘要/Abstract

摘要： 在强噪声背景下，针对微弱信号的检测和提取困难的问题，在经典的双稳态系统模型基础上，结合Gaussian Potential模型提出了一种新的组合型幂指函数的三稳态系统模型。首先，构造组合型幂指函数的三稳态系统模型，通过调节系统参数进行数值仿真，验证新型的三稳态系统模型能够产生随机共振现象；其次，以输出的平均信噪比（SNR）作为测度指标，结合人工鱼群智能算法进行相应参数寻优，使得组合型幂指函数的三稳态系统输出信噪比最大，从而达到随机共振现象。轴承故障诊断实验分析中，在输入信噪比为-25.8 dB条件下，分别通过双稳态系统和组合型幂指函数的三稳态系统得到的输出信噪比分别为-13.1 dB和-8.59 dB，说明组合型幂指函数三稳态系统性能优于双稳态系统性能。

关键词: 微弱信号检测, 平均信噪比, 双稳态系统, 随机共振

Abstract: Under the background of strong noise, it is difficult to detect and extract weak signals. To solve the above problems, a new combination model of power and exponential function in tri-stable system was proposed based on the classic bistable system model and the Gaussian Potential model. First of all, the tri-stable system model was constructed by combining power function and exponential function, then the stochastic resonance was generated by adjusting related parameters, which was validated by numerical simulations. Secondly, using the average Signal-to-Noise Ratio (SNR) of output as a measure index, the artificial fish swarm intelligence algorithm was used to optimize the corresponding parameters, which makes the tri-stable system combining the power function and the exponential function achieve the maximum output SNR, and the phenomenon stochastic resonance was generated. Finally, it was applied to the diagnosis of bearing faults. At the same condition that the output SNR is -25.8 dB, the output SNR of the bistable system and tri-stable system combining the power function and the exponential function is -13.1 dB and -8.59 dB respectively. Simulation results demonstrate that the performance of the proposed system is better than the bistable system, and it is effective in weak signal detection and extraction.

Key words: weak signal detection, average Signal-to-Noise Ratio (SNR), bistable system, stochastic resonance

中图分类号:

TN911.7

张刚, 高俊鹏. 组合型幂指函数三稳态随机共振微弱信号检测[J]. 计算机应用, 2018, 38(9): 2747-2752.

ZHANG Gang, GAO Junpeng. Weak signal detection based on combination of power and exponential function model in tri-stable stochastic resonance[J]. Journal of Computer Applications, 2018, 38(9): 2747-2752.

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组合型幂指函数三稳态随机共振微弱信号检测

Weak signal detection based on combination of power and exponential function model in tri-stable stochastic resonance

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