信号检测的小波原理分析

Analysis on wavelet transform principle for signal detecting

当信号有许多突变点时，传统的Ｆｏｕｒｉｅｒ变换难以确定各突变点的位置及强弱，利用Ｗａｓｆ（ｘ）的模极大值点来检测ｆ（ｘ）的突变点，若选择小波为光滑的一阶导数。

When the signal has many break points, the traditional Fourier transfrom can hardly be used to detect the position and intensity of the respective break points. The break points of f(x) is detected with the maximum norm points of W a sf(x) . If the wavelet is selected as smooth a derivative, them it could detect the break points of f(x) by it′s maximum amplitude point of wavelet transform.