%0 Journal Article
%T 具有高消失矩的3-进双正交对称小波的构造<br>CONSTRUCTION OF BIORTHOGONAL 3-BAND WAVELETS WITH SYMMETRY AND HIGH VANISHING MOMENTS
%A 作者
%A 邹庆云
%A 王国秋
%A 曹前
%J 数学杂志
%D 2015
%X 本文用矩阵对称扩充来构造了具有高消失矩的3带对称双正交小波.利用矩阵扩充,获得了3维矩阵对称扩充方法和小波构造的算法,并且,该算法便于计算机程序化实现;利用两个实例验证了相关的结论.<br>In this paper, we investigate the biorthogonal matrix extension problem with symmetry and its application to construction of 3-band biorthogonal wavelets with compact supported, symmetry and high vanishing moments. By using the theory of matrix extension, we obtain the method of three-dimensional biorthogonal matrix extension with symmetry and a step-by-step algorithm for construction of 3-band biorthogonal wavelets, which is easily implemented by computer program. Several examples are provided to illustrate the proposed algorithm and results in this paper
%K 双正交性 对称性 多相位矩阵 矩阵扩充 消失矩&lt
%K br&gt
%K biorthogonality symmetry polyphase matrices matrix extension vanishing moments
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20150102&flag=1