经验模态分解中端点效应的抑制  

Restrict End Effect of Empirical Mode Decomposition

作　　者：余磊[1] 刘泉[1] 

机构地区：[1]武汉理工大学信息工程学院,武汉430070

出　　处：《武汉理工大学学报》2010年第10期151-154,共4页Journal of Wuhan University of Technology

基　　金：国家自然科学基金(50775167)

摘　　要：Hilbert-Huang变换是通过对信号的经验模态分解,使非平稳信号平稳化,从而使信号Hilbert变换后得到的瞬时频率具有物理意义。在应用经验模态分解方法时,通过3次样条插值算法给出的上、下包络在数据信号的两端不可避免地会出现发散现象。会严重影响经验模态分解的质量,使分解出的本征模态函数没有实际的物理意义。镜像闭合端点延拓通过镜像法把镜内信号映射成一个周期性的环行信号,不存在端点,从根本上避免了经验模态分解和Hilbert变换的端点效应。从理论上说,镜像闭合端点延拓是解决经验模态分解端点的一个好方法。Through the Empirical Mode Decomposition,Hilbert-Huang Transform makes the nonstationary signals to be stationary,so that the instantaneous frequency that is gotten from the signal after Hilbert transformation has a physical meaning.Using the Empirical Mode Decomposition,there is bound to be divergent phenomena at the two ends of the upper and lower envelope signal in the data through the three-interpolation algorithm.It will affect the quality of the Empirical Mode Decomposition badly,so that the decomposed Intrinsic Mode Function has no actual physical meaning.Mirror closed extension map the signal into a periodic signal of the ring through the mirror image method,and there is no endpoint,and fundamentally avoids the end effects of the Empirical Mode Decomposition and Hilbert transform.Theoretically speaking,it＇s a good way to resolve the Empirical Mode Decomposition end point.

关 键 词：HILBERT-HUANG变换 经验模态分解 镜像闭合端点延拓 端点效应 

分 类 号：TN911.6[电子电信—通信与信息系统]