| 向量值正交小波的存在性 |
| |
| 引用本文： | 李杰,陆军.向量值正交小波的存在性[J].信阳师范学院学报(自然科学版),2005,18(4):384-386. |
| |
| 作者姓名： | 李杰 陆军 |
| |
| 作者单位： | 1. 商丘职业技术学院,计算机系,河南,商丘,471000
2. 郑州师范高等专科学校,河南,郑州,450000 |
| |
| 摘 要： | 引进向量值函数空间L2(R,Cs)中的多分辨分析与3带向量值正交小波的概念.运用仿酉向量理论与滤波器矩阵理论,得到3带向量值正交小波存在的充要条件.
|
| 关 键 词： | 向量值多分辨分析 向量值尺度函数 向量值正交小波 滤波器 加细方程 |
| 文章编号： | 1003-0972（2005）04-0384-03 |
| 收稿时间： | 2005-04-11 |
| 修稿时间： | 2005-04-11 |
The existence for orthonormal vector-valued wavelets |
| |
| LI Jie,LU Jun.The existence for orthonormal vector-valued wavelets[J].Journal of Xinyang Teachers College(Natural Science Edition),2005,18(4):384-386. |
| |
| Authors: | LI Jie LU Jun |
| |
| Institution: | 1. Department of Computer,Shangqiu Profession and Technology College ,Shangqiu 471000,China; 2. Department of Mathematics,Zhengzhou Higher Teachers School ,Zhengzhou 450000, China |
| |
| Abstract: | The notion for vector-valued multiresolution analysis and orthonormal vector-valued wavelets with scale=3 of space L~2(R,C~s) is introduced.By using paraunitary vector filter bank theory and matrix theory,some necessary and sufficient conditions for the existence of orthogonal vector-valued wavelets are derived. |
| |
| Keywords: | vector-valued multiresolution analysis vector-valued scaling functions mector-valued or-thogonal wavelets filter banks refinement equation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
