Bubble小波的正交条件研究

On Orthogonality Condition of Bubble Wavelets

  • 摘要: 根据小波正交性的等价叙述定理和L2(R)中函数整数平移系的Riesz界等价叙述定理,从三个方面系统地分析讨论Bubble小波的正交条件。适当选择Bubble函数的形状参数,可以得到正交和几乎正交的Bubble小波,并指出墨西哥帽函数不能当成几乎正交的小波函数使用。

     

    Abstract: According to the equivalent expression theorem about the orthogonality of wavelets and the equivalent expression theorem about the Riesz bounds of integral shifting basis of a function inL2(R),the orthogonality condition of Bubble wavelets is analysed and discussed systematically from three respects.The results show that the orthogonal and almost orthogonal Bubble wavelet can be constructed by selecting appropriately the shape parameter of Bubble functions,but the Mexican hat wavelet (a special Bubble wavelet) can not be regarded as an almost orthogonal wavelets.

     

/

返回文章
返回