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| 紧支撑多重向量值正交小波包的性质 | |
| 引用本文： | 陈清江,谢时新,程正兴. 紧支撑多重向量值正交小波包的性质[J]. 数学的实践与认识, 2006, 36(8): 324-330 |
| 作者姓名： | 陈清江 谢时新 程正兴 |
| 作者单位： | 1. 西安交通大学理学院,陕西,西安,710049 2. 商丘职业技术学院计算机系,河南,商丘,476000 |
| 摘 要： | 给出紧支撑多重向量值正交小波包的定义及构造方法.运用矩阵理论与积分变换,研究了多重向量值正交小波包的性质,得到三个正交性公式.进而,得到空间L2(R,Cr)的一个新的规范正交基. |
| 关 键 词： | 多重 正交 加细方程 向量值多分辨分析 向量值尺度函数 向量值小波包 |
| 修稿时间： | 2004-11-08 |
The Properties of Compactly Supported Orthogonal Multiple Vector-Valued Wavelet Packets |
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| CHEN Qing-jiang,XIE Shi-xin,CHENG Zheng-xing. The Properties of Compactly Supported Orthogonal Multiple Vector-Valued Wavelet Packets[J]. Mathematics in Practice and Theory, 2006, 36(8): 324-330 | |
| Authors: | CHEN Qing-jiang XIE Shi-xin CHENG Zheng-xing |
| Abstract: | The definition for compactly supported orthogonal multiple vector-valued wavelet packets of L~2(R,C~r) is given.A procedure for constructing a class of orthogonal multiple vector-valued wavelet packets is presented.The property of orthogonal multiple vector-valued wavelet packets has been investigated by using matrix theory and integral transform.Three orthogonality formulas are obtained.Finally,a new orthonormal basis of L~2(R,C~r) is obtained from the orthogonal multiple vector-valued wavelet packets. |
| Keywords: | multiple orthogonal refinement equation vector-valued multiresolution analysis vector-valued scaling functions vector-valued wavelet packets |
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