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《JOURNAL OF SHANGHAI JIAOTONG UNIVERSITY》 1998-01
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Construction and Characterization of Wavelet Bases Expressed by Bessel Function

Lu Donghui Zhuang Tiange(Department of Biomedical Engineering,Shanghai Jiaotong University)  
A new mother wavelet function which is based on the Bessel function of the special functions has been constructed by using the MultiResolution Analysis(MRA) method.It is proved that the function,when N is a positive integer and N≥2,has many good properties such as localization,smoothness(Ψ(x)=O(|x|-N)),certain symmetrization and an (N-2) order vanishing moment.As an example,a corresponding conclusion is given when N=3.
【CateGory Index】: R814.42,O174.41
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