Laplace小波及其工程应用

小波变换是非平稳信号处理的有力工具,小波性质取决于它的基函数.在模态分析、机械监测诊断等领域,冲击响应信号十分普遍.一种单边衰减复指数型的Laplace小波基函数具有分析冲击响应信号的优势,采用Laplace小波相关滤波方法可提取振动信号中的冲击响应分量,成功地诊断出内燃机进气阀的磨损故障和识别出大型水轮机轴系的一阶固有频率.

Laplace Wavelet and its Engineering Application

Wavelet transform is a powerful technique well suited to non stationary signal processing. The property of wavelet is determined by its basis function. In the fields of modal analysis, mechanical condition monitoring and fault diagnosis, In the fields of modal analysis, mechanical conitoring and fault diagnosis, impulse responses are very common signals to be analyzed. Laplace wavelet that is a complex, analytic, single sided damped exponential is a desirable wavelet basis to analyze signals of impulse response. A correlation filtering approach is introduced using Laplace wavelet to identify impulse response from vibration signals. Successful results are obtained in diagnosing the leakage fault of intake valve of internal combustion engine, and identifying the natural frequency of hydro generator axle.