三角样条小波（TSW）及其在电机故障检测中的应用

该文提出了一种新的小波函数－－三角样条小波（TSWn,n＝1，2…），它与B样条小波一样是由单位特征函数迭代而成，具有良好的时、频域局部性质和对称性或反对称性，具有广义线性相位；由于三角样条小波由三角函数张成，基于它的小波变换又具有Fourier变换的特点。文中将三角样条小波变换用于电机定子单相接地故障实时检测，并与电力系统中使用广泛的Meyer小波、Morlet小波、正交小波Db4以及正交小波Bior4．4小波变换进行了对比，从实验结果可看出三角样条小波在重构信号的误差分析、奇异点（突变点）的识别和定位以及谐波检测等方面，相对于其它小波变换更敏感，显示了三角样条小波的优点。

TRIGONOMETRIC SPLINE WAVELET AND ITS APPLICATION TO DETECTION OF ELECTRIC MOTOR FAULTS

In this paper, A new wavelet function was presented , i.e. trigonometric spline wavelet(TSWn, n =1,2,...),It was iterated from character function. It was local support and symmetric or anti symmetric TSW consists of trigonometric function and contains some characters of Fourier Transformation(FT).TSW was used to detect the fault signal of stator, to detect harmonics and to analysis the fault signals deconstruction and construction. These was compared with Meyer, Morlet , Db4 and Bior4.4 WT, it demonstrates the advantage of this new type spline wavelet.