Hilbert谱分析和平稳度

Analysis of Hilbert Spectrum and Degree of Stationary

提出了本征模式函数IMF成员相应的幅度及频率时间函数的计算方法。由函数的Hilbert谱可获得相关的边缘谱，边缘谱确定了几乎连续的能量分布，从而提供了通过每个频率值测量总能量的方法。根据能量-频率-时间分布，就可以定量确定平稳性，平稳性是物理过程的一个复杂属性，其由平稳度Ds和统计平稳度Dss进行度量，同时给出了Ds和Dss的计算公式。

The calculation method of amplitude, frequency and time function of the IMF components is given. The marginal spectrum can be obtained by Hilbert spectrum of the function. The energy distribution given by the marginal spectrum is almost continuous, so it provides the method to measure the total energy by each frequency. The stationary can be confirmed by the energy-frequency-time distribution. It is a complex attribute of the physics process, and can be measured by Ds and Dss. The calculation formula of Ds and Dss is given.