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| 一类多重向量值双正交小波包的刻划 | |
| 引用本文： | 陈清江,张同琦,程正兴,李学志.一类多重向量值双正交小波包的刻划[J].云南大学学报(自然科学版),2006,28(6):472-478. |
| 作者姓名： | 陈清江 张同琦 程正兴 李学志 |
| 作者单位： | 1. 西安建筑科技大学,理学院,陕西,西安,710055;西安交通大学,理学院,陕西,西安,710049 2. 渭南师范学院,数学系,陕西,渭南,714000 3. 西安交通大学,理学院,陕西,西安,710049 4. 信阳师范学院,数学系,河南,信阳,464000 |
| 基金项目： | 国家自然科学基金资助项目(10371105)，河南省自然科学基金资助项目(0211044800) |
| 摘 要： | 研究向量值小波包.给出一类3尺度多重向量值双正交小波包的定义及构造.运用积分理论与算子理论,刻划了多重向量值双正交小波包的特征,得到多重向量值小波包的双正交公式.进而,得到向量值函数空间L2R,Cs×s)新的Riesz基. |
| 关 键 词： | 双正交 多重 向量值多分辨分析 向量值尺度函数 向量值小波 向量值小波包 |
| 文章编号： | 0258-7971(2006)06-0472-06 |
| 修稿时间： | 2005年9月19日 |
Characteristics of biorthogonal multiple vector-valued wavelet packets |
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| CHEN Qing-jiang,ZHANG Tong-qi,CHENG Zheng-xing,LI Xue-zhi.Characteristics of biorthogonal multiple vector-valued wavelet packets[J].Journal of Yunnan University(Natural Sciences),2006,28(6):472-478. | |
| Authors: | CHEN Qing-jiang ZHANG Tong-qi CHENG Zheng-xing LI Xue-zhi |
| Institution: | 1. College of Science, Xi’an University of Arch.and Technology, Xi’an 710055, China;2. School of Science, Xi’an Jiaotong University, Xi’an 710049, China;3. Department of Mathematics, Weinan Teachers College, Weinan 714000, China;4. Department of Mathematics, Xinyang Normal University, Xinyang 464000, China |
| Abstract: | It is been to investigate the vector-valued wavelet packets.A class of 3-scale biorthogonal multiple vector-valued wavelet packets is defined and a procedure for constructing them is presented.The properties for the biorthogonal multiple vector-valued wavelet packets are characterized.Biorthogonality fomulae for the multiple vector-valued wavelet packets are obtained.Furthermore,new Riesz bases of L2(R,Cs?s)are constructed from the biorthogonal multiple vector-valued wavelet packets. |
| Keywords: | biorthogonal multiple vector-valued multiresolution analysis vector-valued scaling functions vector-valued wavelet vector-valued wavelet packets |
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