经验模式分解与Hilbert谱的分析及应用

为了验证经验模式分解与Hilbert谱分析的有效性,首先,引出它的概念,指出它在时频变换领域的优点;然后,对其进行了详细阐述,包括瞬时频率求解、经验模式分解过程及Hilbert谱绘制;接着,提出了经验模式分解过程中边缘处理和内在模准则确定问题,并给出了解决方法;最后,用Duffing方程平均频率验证和压电智能结构中压电片局部脱胶试验2个实例对该方法进行了理论和试验验证,结果表明:经验模式分解与Hilbert谱是一种有效的时频信号分析方法。

Analysis and application of empirical mode decomposition and Hilbert spectrum

In order to prove its validity,the conceptions of empirical mode decomposition(EMD) and Hilbert spectrum is educed and its superiority is pointed out at first,and then the method is narrated in detail,including how to compute the instantaneous frequency ,how to process the EMD and how to dispose Hilbert spectrum,after that bring forward the problem and resolvent during the processing of EMD,including the marginal disposal and the criterion of sifting process. At last,two examples are illustrated to validate the validity of this method,the examples prove that EMD and Hilbert spectrum are a effective method in signal processing.