基于Hilbert-Huang变换的信号奇异性检测的比较研究  

A Comparative Study on the Check of Signal Singularity Based on Hilbert-Huang Transform

作　　者：李庆刚[1] 谭善文[1] 

机构地区：[1]西华大学能源与环境学院,四川成都610039

出　　处：《西华大学学报（自然科学版）》2008年第4期3-6,共4页Journal of Xihua University:Natural Science Edition

摘　　要：Hilbert-Huang变换是最新发展起来的处理非线性非平稳信号的时频分析方法。其基本的实现分为两步,多分辨经验模态分解和瞬时频率的求解,随后可以获得信号的时—频谱。这种方法的关键部分是经验模态分解,任何复杂的信号都可以分解为有限数目并且具有一定物理意义的模态函数,对这些固有模态函数作Hilbert变换,就可得到每一个固有模态函数的瞬时频谱,综合所有固有模态函数的瞬时频谱可以得到信号的一种新的时频描述方式-Hilbert谱。本文比较了小波变换和Hilbert-Huang变换在信号奇异性检测上的异同,并列举了一些实例说明Hilbert谱的优越性。Hilbert-Huang transform(HHT) is a new two-step time-frequency analytical method for analyzing nonlinear and non-stationary signals.The key step of this method is the empirical mode decomposition(EMD) one,with which any complicated data set can be decomposed into finite number of intrinsic mode functions(IMF).Using Hilbert transform to those IMF components can yield instantaneous frequency,the final presentation of this results is an energy frequency-time distribution,designated as the Hilbert spectrum.Practical examples from the numerical results of signal are given to demonstrate the potential advantage of this new method.The results indicate that the method is efficient.

关 键 词：Hilbert—Huang变换 小波变换 信号奇异性 检测 

分 类 号：TN911.23[电子电信—通信与信息系统]