Extension and Window Function Based Improve Method for End Effects of Hilbert-Huang Transform
SHI Pei-ming1,2, LI Geng1,2, HAN Dong-ying3, LIU Bin2
1.Key Lab. of Meas Tech and Instrum of Hebei Province,Yanshan University, Qinhuangdao, Hebei 066004, China;
2.Institute of Electrical Engineering,Yanshan University, Qinhuangdao, Hebei 066004, China;
3.Institute of of Vehicles and Energy, Yanshan University, Qinhuangdao, Hebei 066004, China
Abstract：To overcome the end effects of Hilbert-Huang transform, on the basis of existing method to solve the problem, an extension and window function improve method for end effects was proposed.Through the first to signal with similar extreme a extension and then processing by cosine window function,the inaccuracy of extension and original signal changed because of window function are solved.In a certain degree,the end effects of EMD is overcome,getting more the IMF,meanwhile,through the Hilbert transformation get more accurate boundary spectrum and Hilbert spectrum.It is used in the simulation signal and the cracked rotor fault signal analysis proves that the method has a good effect.
时培明, 李庚, 韩东颖, 刘彬. 基于延拓和窗函数的HHT端点效应改进方法[J]. 计量学报, 2013, 34(5): 491-496.
SHI Pei-ming, LI Geng, HAN Dong-ying, LIU Bin. Extension and Window Function Based Improve Method for End Effects of Hilbert-Huang Transform. Acta Metrologica Sinica, 2013, 34(5): 491-496.
［1］ 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］.Proceedings of the Royal Society London A,1998,454(1971):903-995.
［2］ 刘彬,蒋金水,于伟凯.EMD相关度去噪及其在轧机信号处理中的应用［J］.计量学报,2009,30(1):73-77.
［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］ Yujun Li, Peter W T, Xin Yang, et al. EMD-based fault diagnosis for abnormal clearance between contacting components in a diesel engine［J］.Mechanical Systems and Signal Processing,2010,24(1):193-201.
［5］ 杜陈艳,张榆锋,杨平,等.经验模态分解边缘效应抑制方法综述［J］.仪器仪表学报,2009,30(1):55-60.
［6］ Wu F J, Qu L S. An improved method for restraining the end effect in empirical mode decomposition and its applications to the fault diagnosis of large rotating machinery［J］. Journal of Sound and Vibration,2008,314(3-5):586-602.
［7］ 韩建平,钱炯,董小军.采用镜像延拓和RBF神经网络处理EMD中端点效应［J］.振动、测试与诊断,2010,30(4):414-417.
［8］ 程军圣,于德介,杨宇.Hilbert-Huang变换端点效应问题的探讨［J］.振动与冲击,2005,24(6): 40-42.
［9］ 王秋生,段丹辉,袁梅.基于AR模型包络延拓的经验模态分解［J］.数据采集与处理,2008,23(2):205-210.
［10］ 胡劲松,杨世锡.EMD方法基于径向基神经网络预测的数据延拓与应用［J］.机械强度,2007,29(6):894-899.
［11］ 杨永峰,吴亚峰,任兴民,等.基于最大Lyapunov指数预测的EMD端点延拓［J］.物理学报,2009,58(6):3742-3746.
［12］ 沈路,周晓军,张志刚,等.Hilbert-Huang变换中的一种端点延拓方法［J］.振动与冲击,2009,28(8):168-174.
［13］ 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.
［14］ 黄先祥,李胜朝,谢建.新型经验模式分解端点效应消除方法［J］.机械工程学报,2008,44(9):1-5.
2013, Vol. 34 
