| 矩阵伸缩的二元向量值双正交小波包 |
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| 引用本文： | 王慧,宋苏罗.矩阵伸缩的二元向量值双正交小波包[J].兰州理工大学学报,2009,35(4). |
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| 作者姓名： | 王慧 宋苏罗 |
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| 作者单位： | 1. 南阳理工学院,教育学院,河南,南阳,473000
2. 南阳理工学院,应用数学系,河南,南阳,473000 |
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| 摘 要： | 研究二元向量值双正交小波包的构造及性质.引进二元向量值双正交小波包的概念.运用时频分析方法,讨论它们的性质,得到向量值小波包的双正交公式与向量值函数空间的Riesz基.
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| 关 键 词： | 二元 双正交 向量值多分辨分析 向量值尺度函数 向量值小波包 |
Biorthogonal bivariate vector-valued wavelet packets with dilation matrix |
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| WANG Hui,SONG Su-luo.Biorthogonal bivariate vector-valued wavelet packets with dilation matrix[J].Journal of Lanzhou University of Technology,2009,35(4). |
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| Authors: | WANG Hui SONG Su-luo |
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| Institution: | 1.School of Education;Nanyang Institute of Technology;Nanyang 473000;China;2.Department Applied Mathematics;China |
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| Abstract: | The construction and properties of biorthogonal bivariate vector-valued wavelet packets were investigated.The notion of a class of biorthogonal vector-valued bivariate wavelet packets was introduced.Their properties were discussed by virtue of time-frequency analysis method,and three biorthogonality formulus were obtained.A Riesz basis of vector-valued function space L2(R2,Cs) was constructed from these wavelet packets. |
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| Keywords: | bivariate biorthogonality vector-valued multiresolution analysis vector-valued scaling function vector-valued wavelet packets |
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