壳段厚度激光检测信号的变分模态分解去噪

李加福; 唐文彦; 张晓琳; 王军

doi:10.3788/OPE.20172508.2173

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壳段厚度激光检测信号的变分模态分解去噪

信息科学 | 更新时间：2020-07-07

- 壳段厚度激光检测信号的变分模态分解去噪
- Adaptive denoising for laser detection signal of shell thickness based on variational mode decomposition
- 光学精密工程 2017年25卷第8期页码：2173-2181
- 作者机构：
  
  哈尔滨工业大学电气及自动化学院, 黑龙江哈尔滨 150001
- 作者简介：
  
  [ "李加福(1988-), 男, 山东德州人, 博士研究生, 2011年、2014年分别于山东理工大学、中国计量大学获得学士、硕士学位, 主要从事信号处理和精密测量方面的研究。E-mail:li-jia-fu@163.com" ]
  王军, E-mail:wang_jun@hit.edu.cn
- 基金信息：
  
  国家自然科学基金资助项目(61108073);上海航天科技创新项目(SAST2015029)
- DOI：10.3788/OPE.20172508.2173
  中图分类号： TN247;TP391
- 收稿日期：2016-11-28，
  
  录用日期：2017-1-16，
  
  纸质出版日期：2017-08-25
- 稿件说明：
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李加福, 唐文彦, 张晓琳, 等. 壳段厚度激光检测信号的变分模态分解去噪[J]. 光学精密工程, 2017,25(8):2173-2181.

Jia-fu LI, Wen-yan TANG, Xiao-lin ZHANG, et al. Adaptive denoising for laser detection signal of shell thickness based on variational mode decomposition[J]. Optics and precision engineering, 2017, 25(8): 2173-2181.
李加福, 唐文彦, 张晓琳, 等. 壳段厚度激光检测信号的变分模态分解去噪[J]. 光学精密工程, 2017,25(8):2173-2181. DOI： 10.3788/OPE.20172508.2173.

Jia-fu LI, Wen-yan TANG, Xiao-lin ZHANG, et al. Adaptive denoising for laser detection signal of shell thickness based on variational mode decomposition[J]. Optics and precision engineering, 2017, 25(8): 2173-2181. DOI： 10.3788/OPE.20172508.2173.

摘要

针对双激光位移传感器测量大型壳段厚度过程中噪声对检测精度的影响，提出利用变分模态分解来实现对厚度信号的自适应去噪，利用相邻固有模态函数之间的离散Hellinger距离来获取最佳的模态数。该方法将变分模态分解算法引入到激光信号的自适应滤波过程中，分析并改进了变分模态分解算法的过分解、欠分解以及能量泄露的问题。然后，对改进的变分模态分解与希伯特振动分解和自适应噪声总体集合经验模态分解进行性能对比，提出了固有模态函数的相对瞬时能量概率的概念。最后，结合离散Hellinger概率分布距离理论判断固有模态之间的信噪分界点，实现了对信号的重构及滤波处理。仿真和实验结果表明，该方法对壳段厚度信号处理的信噪比为39.27 dB，比自适应噪声总体集合经验模态分解方法提高了10 dB，具有良好的自适应性，无需先验条件便能快速有效地识别并分离激光信号中的噪声成分。

Abstract

The adaptive denoising of shell thickness signal by Variational Mode decomposition method was proposed aimed at the influence of noise on laser detection precision in the measurement process by a double laser displacement sensor.The discrete Hellinger distance between intrinsic mode functions was used to obtain the optimal modal number. Firstly

the VMD algorithm was introduced into adaptive filtering process of laser signal; excessive decomposition

insufficient decomposition and energy leakage problems of the VMD algorithm was analyzed and improved.Then

the performance of the improved VMD algorithm was comparied with those of Hiebert vibration decomposition and overall ensemble empirical mode decomposition of adaptive noise

the conception of relative instantaneous energy probability of intrinsic mode function was proposed.Finally

Boundary point of signal and noise among intrinsic mode was judged combined with the theory of discrete Hellinger probability distribution distance to realize reconstruction and filter processing of signals. Simulation and experimental results indicate that signal to noise ratio of shell thickness signal processing of the method is 39.27 dB

which has improved 10 dB compared with that of overall ensemble empirical mode decomposition method of adaptive noise. It has good adaptability

and identifies and separates noise components in laser signals quickly and effectively without priory conditions.

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