线性时变系统参数识别的小波方法

Parameter Identification of LTV Systems Based on Daubechies Wavelet

将小波理论应用于线性时变系统的参数识别中,利用Daubechies小波的时频局部分化特性,根据系统的输入及输出,求出在各个微小时间段上与该系统微分方程对应的相关参数,从而实现各个时变参数的识别。

In this paper, a method of parameter identification of linear time varying systems using the desirable properties of Daubeehies wavelet in time-frequency domain is presented. The core of the identification algorithm is the estimation of the parameters of the system equation from input and output measurements. First the parameters over a tiny time intervals are identified, then the evolution of the parameters over the whole duration can be estimated.