Hilbert-Huang变换的滤波特性及其应用

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多分辨经验模态分解,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固有模态函数.多分辨经验模态分解方法可以解释为以信号极值特征尺度为度量的时空滤波过程.时空滤波器充分保留了信号本身的非线性和非平稳特征,在信号的滤波和去噪中具有很大的优势.文中介绍了Hilbert-Huang变换时空滤波的实现过程,并列举了一些实例,说明了该方法的有效性.

The Filtering Character of Hilbert-Huang Transform and Its Application

Hilbert-Huang transform(HHT) is a new two-step time-frequency analytic method to analyze the nonlinear and non-stationary signal. The key step of this method is empirical mode decomposition(EMD) method with which any complicated data set can be decompose into a finite and often small number of intrinsic mode functions(IMF). Using Hilbert transform to those IMF components can yield instantaneous frequency, the final presentation of this results is a energy frequency-time distribution, designated as the Hilbert spectrum. Examples from the numerical results of signal de-noising are given to demonstrate the power of this new method, those results can clarity the advance and efficient of this method.