基于小波库构造的信号去噪

摘要

A denoising method using wavelet library was proposed. Key to this method was to construct a smooth orthonormal wavelet library. A new method for constructing smooth orthonormal wavelet library was presented based on the following conditions: 1) regularity,i. e. ,the wavelets have sufficient regularity; 2) non-redundancy, i. e. , there should be no duplicates among the library wavelets; 3) completeness, i. e. , the library should be representative of the whole wavelet space. The experiment results show that when the library is used in signal denoising, the wavelet library performs better than any of the single wavelets.%提出了通过构造小波库进行去噪的方法.该方法的关键是光滑正交小波库的构造,因此提出了一种新的光滑正交小波库的构造方法,该构造方法基于3个条件进行小波库的构造:1)光滑性,即小波要有足够的光滑性;2)非冗余性,即小波库中的小波不要重复;3)完备性,即构造的小波库要能表示整个小波空间.实验结果表明当把构造的小波库应用到信号去噪时,其去噪性能优于任何的单小波.