区间三角样条小波(ITSW)及其在电机故障信号边界问题处理中应用

Interval Trigonometric Spline Wavelets(ITSW) and its Applicationto Boundary Problem of Fault Signals of Electric Machine

首先构造了区间上三角样条小波 ,并将它应用到电机故障信号的检测中 ,很好地解决了一些传统的著名小波 ,如Symmlet小波、Daubechies小波、Coiflets小波、Meyer小波等以及一些常用处理边界的方法 ,如区间外数据补零、对称延拓、平滑法和周期延拓方法等不能解决的边界效应问题。区间三角样条小波具有对称性 ,因而具有线性相位。在电机故障信号分解和重构中比补零法、对称延拓法、平滑法和周期延拓法精度高。

In this paper, trigonometric spline wavelets on the interval(ITSWs) are presented and applied to detect the fault signals of electric machine. The boundary problems have been solved perfectly using ITSWs, which can not being solved using some traditionally famous wavelets-Symmlets, Daubechies, Coiflets, Meyer wavelets et al. and some usually used methods-filling zero, symmetric extending, smoothing, periodically extending methods. ITSWs are symmetric wavelets, the decompression and reconstruction errors of fault signals of electric machine are less than filling zero, symmetric extending, smoothing, periodically extending methods.