基于小波变换模极大值恢复的信号消噪方法

摘要

大多数的信号常具有某种奇异性，并携带有随机噪声.首先回顾了信号奇异性与小波变换模极大值之间的关系，然后利用信号与噪声的Lipschitz指数的符号不同，在S.Mallat等人工作的基础上，给出了从信号中去除噪声的具体算法.%Most of signals have some singularity and bring with a random noise in it. This paper first reviews a relation between the signal singularity and the wavelet transform modulus maxima ,then according to the difference of the Lipschitz exponents′ sign between the signal and noise, gives a signal denoising algorithm on basis of the Mallat ′s work.