%0 Journal Article
%T Explicit Structuer of Wavelet Tight Frames<br>小波紧框架的显式构造
%A CUI Li-Hong
%A CHENG Zheng-Xin
%A YANG Shou-Zhi
%A <br>崔丽鸿
%A 程正兴
%A 杨守志
%J 数学物理学报(A辑)
%D 2004
%I 
%X This paper studies  wavelet tight frames associated with   given scaling functions with dilation factor 3. The wavelet frames consist of f inite number of functions  ψ^1, ψ^2, ψ^n ∈V_1. First p resent sufficient conditions for existence of wavelet tight frames generated by  the l functions  and then  give explicit structure formula of wavelet tight frames. In particular, if masks of the scaling functio ns are rational functions, then the corresponding wavelet frame with rational ma sks can be found. Finally, the authors can derive the decomposition and reconstr uction formulas which are similar to those of orthonormal wavelets.
%K Frames
%K Wavelet tight frames
%K Frames multiresolution analysis
%K Refining function<br>框架
%K 紧小波框架
%K 框架多分辨分析
%K 尺度函数
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=A3A3125E03C95DB4&yid=D0E58B75BFD8E51C&vid=B91E8C6D6FE990DB&iid=CA4FD0336C81A37A&sid=BB0EA31DB1B01173&eid=DBF54A8E2A721A6D&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=1&reference_num=6