Abstract:In the process of differential-based empirical mode decomposition (DEMD), as a result of the uncertainty of the signal at both ends of the border, the end effects exist in the course of getting envelop of data, it will affect the quality of differential-based empirical mode decomposition badly, so that the decompose intrinsic mode function has no actual physical meaning. A new method for restraining the end effects of DEMD based on support vector machine (SVM) and window function is proposed, by using support vector machine for data extension on both ends of the signal, and adding a special window function after extension, and the continuation error is reduced. Simulation results and rolling bearing fault diagnosis examples show that the improved method can inhibit end effect effectively and has a higher accuracy of decomposition in rotating machinery fault diagnosis.
孟宗,季艳,谷伟明,王娜. 基于支持向量机和窗函数的DEMD端点效应抑制方法[J]. 计量学报, 2016, 37(2): 180-184.
MENG Zong,JI Yan,GU Wei-ming,WANG Na. End Effects Restraining of DEMD Based on Support Vector Machine and Window Function. Acta Metrologica Sinica, 2016, 37(2): 180-184.
[1]禇福磊,彭志科,冯志鹏,等.机械故障诊断中的现代信号处理方法[M].北京:科学出版社,2009,1-2.
[2]Huang N E, Shen Z, Long S R, et al. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J]. Proceeding of Royal Society London A, 1998, 454: 903-995.
[3]谢平,王欢,杜义浩.基于EMD和Wigner-Ville分布的机械故障诊断方法研究[J].计量学报,2010,31(5):390-394.
[4]孟宗, 顾海燕, 刘利晖,等. 基于EMD与AR谱的轧机主传动系统故障诊断研究[J]. 计量学报, 2011,32(4):338-342.
[5]何旭, 经验模式分解的研究及其在故障诊断中的应用[D].上海:上海交通大学. 2004.
[6]景蓓蓓,李鸿光. 基于微分的经验模式方法在转子裂纹和碰摩故障诊断中的应用[J]. 噪声与振动控制,2009,5(1): 66-69.
[7]孟宗,顾海燕,李姗姗.基于神经网络集成的B样条经验模态分解端点效应抑制方法[J]. 机械工程学报,2013,49(9):106- 112.
[8]张亢,程军圣,杨宇. 基于自适应波形匹配延拓的局部均值分解端点效应处理方法[J].中国机械工程,2010,21(4):457-462.
[9]Lin D C, Guo Z L, An P F, et al. Elimination of end effects in empirical mode decomposition by mirror image coupled with support vector regression [J]. Mechanical Systems and Signal Processing,2012,31:13-28.
[10]Zhao J P, Huang D J. Mirror extending and circular spline function for empirical mode decomposition method [J]. Journal of Zhejiang University (Science),2001,2(3): 247- 252.
[11]胡爱军,安连锁,唐贵基. Hilbert-Huang 变换端点效应处理新方法[J]. 机械工程学报,2008,44(4): 154-158.
[12]祁克玉,施坤林,霍鹏飞,等. EMD端点效应处理在转子擦故障诊断中的应用[J]. 振动、测试与诊断,2010,30(5):492- 495.
[13]邓拥军,王伟,钱成春,等. EMD方法及Hilbert变换中边界问题的处理[J]. 科学通报, 2001, 46(3): 257-263.
[14]杨建文,贾民平. 希尔伯特-黄谱的端点效应分析及处理方法研究[J]. 振动工程学报,2006,19(2): 283-288.
[15]Cheng J S, Yu D J, Yang Y. Application of support vector regression machines to the recessing of end effects of Hilbert-Huang transform [J]. Mechanical Systems and Signal Processing, 2007,21(3): 1197-1211.