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.
出处
《振动与冲击》
EI
CSCD
北大核心
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
关键词
分数小波变换
分数样条小波
降噪
相关性
fractional wavelet transform
fractional spline wavelet
de-noising method
correlativity
