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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.
A method of denoising by constructing wavelet library is proposed.The key of this method is the construction of smooth orthogonal wavelet library, so a new construction method of smooth orthogonal wavelet library is proposed, which is based on three conditions of wavelet The construction of the library: 1) smoothness, that is, the wavelet has enough smoothness; 2) non-redundancy, that wavelet library does not repeat; 3) completeness, that is constructed wavelet library to be able to represent the entire wavelet space The experimental results show that when the constructed wavelet library is applied to signal denoising, its denoising performance is better than any single wavelet.