基于延拓和窗函数的HHT端点效应改进方法  

Extension and Window Function Based Improve Method for End Effects of Hilbert-Huang Transform

作　　者：时培明[1,2] 李庚[1,2] 韩东颖[3] 刘彬[2] 

机构地区：[1]燕山大学测试计量技术及仪器河北省重点实验室,河北秦皇岛066004 [2]燕山大学电气工程学院,河北秦皇岛066004 [3]燕山大学车辆与能源学院,河北秦皇岛066004

出　　处：《计量学报》2013年第5期491-496,共6页Acta Metrologica Sinica

基　　金：高等学校博士学科点专项科研基金（20101333120004）

摘　　要：为了克服Hilbert—Huang变换中的端点效应问题，提出了一种基于延拓和窗函数综合应用的端点效应改进方法。通过先对信号进行相似极值延拓再进行加余弦窗函数的处理，解决了延拓部分不精确和加窗函数后使原信号发生改变的问题，在一定程度上克服了EMD方法的端点效应问题，得到更准确IMF的同时也可以通过Hilbert变换得到更准确的边界谱和Hilbert谱。通过用于仿真信号和裂纹转子故障信号的分析证明该方法有良好效果。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.

关 键 词：计量学 Hilbert—Huang变换 端点效应 相似极值延拓 余弦窗函数 

分 类 号：TB973[一般工业技术—计量学]