Hilbert-Huang变换端点效应问题的探讨  

DISCUSSION OF THE END EFFECTS IN HILBERT-HUANG TRANSFORM

作　　者：程军圣[1] 于德介[1] 杨宇[1] 

机构地区：[1]湖南大学机械与汽车工程学院,长沙410082

出　　处：《振动与冲击》2005年第6期40-42,47,共4页Journal of Vibration and Shock

基　　金：国家自然科学基金(编号:50275050);高等学校博士点专项科研基金(编号:20020532024)资助项目

摘　　要：为了克服Hilbert-Huang变换中的端点效应,利用时变参数ARMA(AutoregressiveMovingAverage)模型对信号进行外延后再进行EMD(EmpiricalModeDecomposition)分解,在一定程度上克服了EMD方法的端点效应问题;同时利用时变参数ARMA模型对IMF(IntrinsicModeFunction)分量进行延拓后再进行Hilbert变换,有效地抑制了Hilbert变换中的端点效应,可以得到准确的瞬时频率和瞬时幅值。A method of restraining the end effects in Hilbert-Huang transform is proposed. The end effects of EMD (Empirical Mode Decomposition) method are restrained in a certain degree because the sigual is decomposed by EMD after extended by using time-varying ARMA (Autoregressive Moving Average) model. The Hilbert transform is applied to the IMF (Intrinsic Mode Function) after the IMF is extended by time-varying ARMA model. Thus, the end effects in Hilbert transform can be restrained and the accurate instantaneous frequency and instantaneouus amplitude can be obtained.

关 键 词：HILBERT-HUANG变换 端点效应 时变参数ARMA模型 

分 类 号：TN911.7[电子电信—通信与信息系统]