电子测量与仪器学报

张刚,吴瑕.基于Hilbert的单边带调制随机共振的微弱信号检测[J].电子测量与仪器学报,2019,33(2):10-17

基于Hilbert的单边带调制随机共振的微弱信号检测

Weak signal detection based on Hilbert’s singlesideband modulated stochastic resonance

DOI：

中文关键词: Hilbert变换单边带调制变尺度二阶随机共振大信号检测轴承故障检测

英文关键词:Hilbert transform single sideband modulation scale transformation second order stochastic resonance large signal detection bearing fault detection

基金项目:国家自然科学基金（61771085,61371164）、重庆市教育委员会科研项目（KJ1600427，KJ1600429）资助

作者	单位
张刚	1.重庆邮电大学通信与信息工程学院，2.信号与信息处理重庆市重点实验室
吴瑕	1.重庆邮电大学通信与信息工程学院，2.信号与信息处理重庆市重点实验室

Author	Institution
Zhang Gang	1.Institute of Communication and Information Engineering, Chongqing University of Posts and Telecommunications,2.Chongqing Key Laboratory of Signal and Information Processing
Wu Xia	1.Institute of Communication and Information Engineering, Chongqing University of Posts and Telecommunications,2.Chongqing Key Laboratory of Signal and Information Processing

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中文摘要:

为了克服经典随机共振中的小参数检测条件的限制，介绍了基于Hilbert变换的单边带频率调制技术，并与二阶随机共振系统相结合，提出了运用调制随机共振的方法实现工程中大信号检测的应用。针对小采样频率和大采样频率进行了分开讨论，并对基频信号的选取做了相关研究。研究结果发现，小采样频率下，Hilbert单边带频率调制技术结合二阶系统有很好的检测效果。大采样频率下，可以结合变尺度处理进行优化。数值仿真分析表明，基频信号取在频率轴分辨率的10~60倍时，会有一个较高的并且较稳定的输出信噪比。并将变尺度Hilbert单边带频率调制技术运用于实际的轴承内外圈故障信号检测中，能明显、准确的检测出单频故障大信号。

英文摘要:

In order to overcome the limitations of small parameter detection conditions in classical stochastic resonance, this paper mainly introduces the single sideband modulation technology based on Hilbert transform combined with a second order stochastic resonance system, and the application of modulation stochastic resonance to realize large signal detection in engineering is proposed. At the same time, the paper discusses the cases of small sampling frequency and large sampling frequency, and makes relevant research on the selection of fundamental frequency signals. It demonstrates that the Hilbert single sideband frequency modulation has a good detection effect under the condition of small sampling frequency combined with the second order system, but under the condition of large sampling frequencies, it can be promoted combined with scale transformation. Numerical simulation analysis shows that the baseband signal has a higher and more stable output signal to noise ratio when it takes about 10~60 times the frequency axis resolution. The effect of this technique combined with second order systems is significantly better than first order systems. Finally, the scale transformation with Hilbert single sideband frequency modulation technology is applied to the bearing inner and outer ring fault signal detection, and it is found that the large frequency fault signal can be detected obviously and accurately.

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