利用Hilbert变换提取信号瞬时特征参数的问题研究

Study on the Problems in Extracting Instantaneous Characters of Signals Based on Hilbert Transform

解析Hilbert变换利用其实部与虚部的关系,定义出任意时刻的瞬时频率、瞬时相位及瞬时幅度,因而工程中人们设法将其应用对实际信号的瞬时参数提取中。然而,在利用Hilbert变换提取瞬时特征参数的工程实现中存在一些问题,如何解决这些问题,特别是如何高精度提取瞬时频率特征参数问题是文中的研究重点。

With the help of the relationship between the real part and the imaginary part obtained from the analysis of the Hilbert transform, the instantaneous frequency, instantaneous phase and instantaneous amplitude of the signals at any moment can be defined. Therefore Hilbert transform is used in extracting instantaneous parameters of the signals. There are, however, some problems about the application of the Hilbert transform in practice. This paper deals with how to solve the problems,especially to extract the instantaneous frequency at high degree of accuracy .