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本文方法的降噪效果。结果表明，该方法能够有效降低振动信号中的背景噪声。

Abstract: The basic theory of fractional wavelet transform (FrWT), including the construction and fast computation of FrWT, is introduced at first. Then a new de-noising method based on the correlativity of fractional wavelet transform is presented, the core of which is due to 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 this new method is illustrated through two simulated examples. At last, the possibility of application of this method is discussed.