%0 Journal Article
%T CONSTRVCTION OF COMPACTLY SUPPORTED SYMMETRIC AND ANTISYMMETRIC ORTHONORMAL WAVELETS<br>紧支撑正交对称和反对称小波的构造
%A YANG Shouzhi
%A YANG Xiaozhong
%A <br>杨守志
%A 杨晓忠
%J 计算数学
%D 2000
%I 
%X The objective of this paper is to exhibit the construction of compactly supported orthonormal symmetric scaling functions with scaling factor a=4 and the three corresponding compactly supported orthonormal wavelets,one of which is symmetric and the others are antisymmetric. The orthonormal wavelets of L2(R) isn't unique. It is possible to choose "good" base from a lot of wavelets base. Examples of scaling functions and wavelets are given.
%K Multiresolution analysis
%K Compactly supported function
%K Orthonormal scaling function
%K Symmetric and
%K antisymmetric orthonormal wavelets<br>多分辨别分析
%K 反对称小波
%K 紧支撑正交对称小波
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=4B9AAA4E15C2A7F1&yid=9806D0D4EAA9BED3&vid=BC12EA701C895178&iid=38B194292C032A66&sid=CF6CB42CFF3D4C4E&eid=302684F6FB4B24FF&journal_id=0254-7791&journal_name=计算数学&referenced_num=10&reference_num=8