• CN:11-2187/TH
  • ISSN:0577-6686

›› 2008, Vol. 44 ›› Issue (4): 154-158.

• 论文 • 上一篇    下一篇

HILBERT-HUANG变换端点效应处理新方法

胡爱军;安连锁;唐贵基   

  1. 华北电力大学机械工程系
  • 发布日期:2008-04-15

New Process Method for End Effects of HILBERT-HUANG Transform

HU Aijun;AN Liansuo;TANG Guiji   

  1. Department of Mechanical Engineering, North China Electric Power University
  • Published:2008-04-15

摘要: HIBERT-HUANG变换(HHT)实现过程中,对信号进行经验模态分解(Empirical mode decomposition,EMD)和对分解得到的各个本征模函数(Intrinsic mode function,IMF)进行HILBERT变换时都会产生端点效应。对此问题,采用波形特征匹配延拓数据,提高经验模态分解精度,有效地抑制HILBERT变换中的端点效应,获得准确的HILBERT时频谱。所延拓数据兼顾原始信号中的极值点及非极值点的波形数据,使延拓数据特征与原信号一致,在HHT变换实现过程中仅需一次延拓,算法简单。仿真计算和转子系统故障试验分析结果表明,所用方法可以有效解决HHT变换的端点效应问题。

关键词: HILBERT-HUANG变换, 端点效应, 故障诊断, 经验模态分解, 特征匹配

Abstract: The HILBERT-HUANG transform consists of two steps: empirical mode decomposition (EMD) and HILBERT tr- ansform. The end effects produce both in the decomposition process of EMD and HILBERT transforms applied to the intrinsic mode functions (IMFs). A novel wave characteristic matching extending method is proposed to overcome the end effects of EMD and HILBERT transform. Therefore, the decomposition precision is improved, the accurate instantaneous frequencies and instantaneous amplitudes could be obtained. The extending data derived from the original signal by the simple algorithm, only once extending needed in HILBERT-HUANG transform processing. The simulation and fault test analysis demonstrate the effectiveness of the method.

Key words: End effects, Characteristic matching, Empirical mode decomposition, Fault diagnosis, HILBERT-HUANG transform

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