基于最小二乘法线性拟合抑制EMD端点效应

doi:10.16182/j.issn1004731x.joss.201809019

系统仿真学报 ›› 2018, Vol. 30 ›› Issue (9): 3377-3385.doi: 10.16182/j.issn1004731x.joss.201809019

基于最小二乘法线性拟合抑制EMD端点效应

何振鹏^1,2, 朱志琪², 谢海超², 王雅文², 李宗强², 何锐², 杜超平², 李金兰²

1.中国民航大学天津市民用航空器适航与维修重点实验室,天津 300300;
2.中国民航大学航空工程学院,天津 300300

收稿日期:2016-12-07 出版日期:2018-09-10 发布日期:2019-01-08
作者简介:何振鹏(1985-),男,江西九江,博士,讲师,研究方向为机械摩擦学、机械故障诊断及结构可靠性。
基金资助:
国家自然科学基金(51505482,61603395),中国民航局科技计划(MHRD20160106),福建省清洁燃烧与能源高效利用工程技术研究中心开放课题(KF201703)

Restrain Boundary Effect of EMD Based on Least Square Fitting

He Zhenpeng^1,2, Zhu Zhiqi², Xie Haichao², Wang Yawen², Li Zongqiang², He Rui², Du Chaoping², Li Jinlan²

1. Tianjin Key Laboratory for Civil Aircraft Airworthiness and Maintenance, civil aviation university of China, Tianjin 300300, China;
2.Aeronautical Engineering Institute, Civil Aviation University of China, Tianjin 300300, China

Received:2016-12-07 Online:2018-09-10 Published:2019-01-08

摘要/Abstract

摘要： 经验模态分解的端点效应的研究对提高机械故障诊断准确率具有重要意义。利用最小二乘法对信号两端各延拓一个极大值点和一个极小值点,通过判断延拓极大值是否在原信号极大值点的波动范围内,延拓极小值是否在原信号极小值点的波动范围内,比较延拓极值点与端点值的大小,最终获取最佳的信号延拓极值点。通过信号仿真分析和滚动轴承故障研究,计算相似系数和分解误差,将该方法与平行延拓法、极值平移法和镜像延拓法相比较,验证该方法能有效地抑制EMD端点效应。

关键词: 经验模态分解, 端点效应, 最小二乘线性拟合法, 延拓

Abstract: To improve the accuracy of mechanical fault diagnosis, it’s meaningful to do research on the boundary effect of EMD. In this article, least squares linear method is applied to extend local extremum points at the end of a data series, which judges that whether the maximum value is within the wave fluctuation range of the original signal maximum points, whether the minimum value is within the wave fluctuation range of the original signal minimum points. It compares the extended extreme points and endpoint values, so the best signal endpoint is obtained. By calculating the value of similarity coefficient and decomposition error, the results of simulation analysis and tests of fault diagnosis of rolling bearings show that the developed EMD method can depress the boundary effect compared with parallel extending method, extrema shift method and mirror periodic.

Key words: EMD, boundary effect, least squares linear fitting method, extending

中图分类号:

TK422

何振鹏, 朱志琪, 谢海超, 王雅文, 李宗强, 何锐, 杜超平, 李金兰. 基于最小二乘法线性拟合抑制EMD端点效应[J]. 系统仿真学报, 2018, 30(9): 3377-3385.

He Zhenpeng, Zhu Zhiqi, Xie Haichao, Wang Yawen, Li Zongqiang, He Rui, Du Chaoping, Li Jinlan. Restrain Boundary Effect of EMD Based on Least Square Fitting[J]. Journal of System Simulation, 2018, 30(9): 3377-3385.

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基于最小二乘法线性拟合抑制EMD端点效应

Restrain Boundary Effect of EMD Based on Least Square Fitting

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