基于分数小波变换的信号降噪新方法  

New de-noising method based on fractional wavelet transform

作　　者：申永军[1] 孔德顺[1,2] 杨绍普[1] 张光明[1] 

机构地区：[1]石家庄铁道学院机械分院,石家庄050043 [2]北京铁路局,北京100860

出　　处：《振动与冲击》2009年第2期32-35,共4页Journal of Vibration and Shock

基　　金：国家自然科学基金(10602038和50625518);河北省自然科学基金(E2006000383)资助

摘　　要：简要介绍了分数小波变换的基本思想及在信号处理方面的特点。利用不同信号在分数小波域具有不同的相关性的特点,提出了一种基于分数小波变换的信号降噪新方法。分析了该方法的降噪特性,同时比较了小波包直接降噪和该方法的降噪效果。结果表明,该方法能够有效降低振动信号中的背景噪声。The basic theory of fractional wavelet transform(FrWT),including the construction and fast computation of FrWT,was introduced.Then a new de-noising method was presented based on the different correlativity of different signals in FrWT field.Compared with the de-noising method by traditional wavelet packet transform,the excellent de-noising performance of the new method was illustrated through two simulated examples.The possibility of application of the method was discussed.

关 键 词：分数小波变换 分数样条小波 降噪 相关性 

分 类 号：TH237[机械工程—机械制造及自动化]