| 二元向量值多重小波包的双正交性质研究 |
| |
| 引用本文： | 陈绍东,宋亮. 二元向量值多重小波包的双正交性质研究[J]. 首都师范大学学报(自然科学版), 2011, 32(6): 1-4 |
| |
| 作者姓名： | 陈绍东 宋亮 |
| |
| 作者单位： | 南阳理工学院数学系,河南南阳,473000 |
| |
| 基金项目： | 河南自然科学基金(0511013500)资助项目 |
| |
| 摘 要： | 给出了数量矩阵伸缩的二元向量值多重小波包的定义.运用傅立叶变换与积分变换,讨论了它们的双正交性,得到关于二元向量值多重小波包的双正交公式.
|
| 关 键 词： | 二元 向量值多分辨分析 多重向量值尺度函数 向量值多重小波包 双正交性 |
The Biorthogonality of Multiple Vector-valued Bivariate Wavelet Packets |
| |
| Chen Shaodong,Song Liang. The Biorthogonality of Multiple Vector-valued Bivariate Wavelet Packets[J]. Journal of Capital Normal University(Natural Science Edition), 2011, 32(6): 1-4 |
| |
| Authors: | Chen Shaodong Song Liang |
| |
| Affiliation: | Chen Shaodong Song Liang(School of Education,Nanyang Institute of Technology,Nanyang 473000,China) |
| |
| Abstract: | The notion of a sort of biorthogonal multiple vector-valued bivariate wavelet packets,which are associated with a quantity dilation matrix,is introduced.The biorthogonality property of the multiple vector-valued wavelet packets in higher dimensions is studied by means of Fourier transform and integral transform biorthogonality formulas concerning these wavelet packets are obtained. |
| |
| Keywords: | bivariate multiple vector-valued multiresolution analysis multiple vector-valued scaling function multiple vector-valued wavelet packets biorthogonality |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
