| 矩阵值双正交小波包基 |
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| 引用本文： | 冯金顺,;徐冬梅.矩阵值双正交小波包基[J].广西师院学报,2009(2):21-25. |
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| 作者姓名： | 冯金顺 ;徐冬梅 |
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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]西安交通大学附属中学,陕西西安710048 |
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| 基金项目： | 基金项目：陕西省教育厅专项科研计划资助项目（08KJ340） |
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| 摘 要： | 研究矩阵值小波包的性质．给出一类矩阵值双正交小波包的定义及构造．运用时频分析方法与算子理论刻划了矩阵值双正交小波包的特性，得到了矩阵值小波包的双正交公式．进而，得到矩阵值函数空间L^2（R，C^r×r）新的Riesz基．
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| 关 键 词： | 双正交 加细方程 矩阵值多分辨分析 矩阵值尺度函数 矩阵值小波包 |
Biorthogonal Matrix-valued Wavelet Packet Bases |
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| Institution: | FENG Jin-shun , XU Dong-mei (1. School of Education, Nanyang College of Technology, Nanyang 473000, China; 2. Attached Middle School, Xi＇an Jiaotong University, Xi＇an 710048, China) |
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| Abstract: | This paper is to investigate the properties of matrix-valued wavelet packets. A class of biorthogonal matrix-valued wavelet packets if defined and a procedure for constructing them is presented. The properties for the biorthogonal matrix-valued wavelet packets are characterized. Biorthogonality L^2（R,C^s×s ） is constructed from the biorthogonal matrix-valued wavelet packets. |
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| Keywords: | biorthogonal refinement equation matrix-valued multiresolution analysis matrix-valued scaling function matrix-valued wavelet packet |
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