摘要
借助于正交多分辨分析和Fourier变换,在较弱条件下给出了空间L2(R)上M进制尺度函数的3个新性质.并利用一些等式和不等式,给出了正交尺度函数和正交小波的Fourier变换的紧支集刻画.所得结果推广和改进了彭思龙和吴华安的结论.
In this paper,using the orthonormal multiresolution analysis(MRA) of L^2(R) and Fourier transform,under a mild conditions,three new properties of M-band scaling function of L^2(R) are got.Compact support of Fourier transform for scaling function and orthogonal wavelets are characterized by some inequalities and equalities.We generalized and improved Peng's results and Wu's resluts.
出处
《宁夏大学学报(自然科学版)》
CAS
北大核心
2007年第3期202-205,共4页
Journal of Ningxia University(Natural Science Edition)
基金
宁夏自然科学基金资助项目(NZ0691)
关键词
多分辨分析
尺度函数
正交小波
紧支撑
FOURIER变换
multiresolution analysis
scaling function
orthogonal wavelets
compact support
Fourier transform