小波变换在振动信号分析中的工程解释与应用

An Engineering Interpretation to Wavelet Transform and Its Applications to the Analysis of Vibration Signals

着重研究小波变换在工程中的应用。首先用工程语言对小波变换进行了解释 ,通过内积和基函数来研究小波变换、傅立叶变换、短时傅立叶变换之间的联系和区别 ,从形式上将三者统一起来。简要讨论了小波变换在振动信号分析中的一些典型应用 ,包括信号滤波、降噪、非平稳特性分析、机器状态监测和故障诊断等方面。最后总结了小波变换在振动分析领域的应用特点。

From a practical application point of view, the wavlet transform is interpreted with engineering languages. It is proposed that a better comprehension of the transform could be acquired in the way of its inner product and basic function form. Finally, a brief discussion on some applications of the transform to the analysis of vibration signals is given.