巴特沃斯小波构造及其故障诊断应用研究  

Research on construction of butterworth wavelet and its application in fault diagnosis

作　　者：李富才[1] 董丽静[1] 何正嘉[1] 

机构地区：[1]西安交通大学机械工程学院机自所,西安710049

出　　处：《声学学报》2003年第6期550-554,共5页Acta Acustica

基　　金：国家自然科学基金(50175087);国家高技术研究发展计划专项经费(2001AA413330);"十五"国家科技攻关计划专项经费(2001BA2041305)资助项目

摘　　要：讨论了由正交滤波器组构造小波的方法和所要满足的正则性条件。分析比较了由有限冲激响应(FIR)滤波器组构造出的小波与无限冲激响应(IIR)滤波器组构造出的小波。并将基于IIR滤波器组的7阶巴特沃斯小波与基于FIR滤波器组的Daubechies小波在信号降噪中的效果进行比较,得出了低阶IIR滤波器组构造的小波可以与高阶FIR滤波器组构造出的小波分析效果相似。最后,将巴特沃斯小波用于内燃机故障的诊断。证明巴特沃斯小波作为小波变换应用里的一个分支,可以在数字信号处理和故障诊断中得到良好的应用。A method of constructing wavelets by orthogonal filter banks is introduced, and the orthogonal filter banks must be regularity for constructing wavelets. The wavelets constructed respectively by FIR (finite impulse response) filter banks and IIR (infinite impulse response) filter banks are compared, and then the de-noise results are analyzed respectively by seven order Butterworth wavelet (based on IIR filter banks) and Daubechies wavelet (based on FIR filter banks). The results show that the effects by using low order IIR filter banks and high order FIR filter banks are similar. Finally, the technique developed is applied to the diagnoses of fault within an internal combustion engine. It proves that, as an embranchment of wavelet application, Butterworth wavelet can be well applied in digital signal processing and fault diagnosis.

关 键 词：巴特沃斯小波构造 正交滤波器 小波变换 数字信号处理 故障诊断 模拟信号分析 内燃机振动 

分 类 号：TB53[理学—物理]