| 高维不可分双正交多小波包 |
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| 引用本文： | 黄永东,朱凤娟,高岳林.高维不可分双正交多小波包[J].宁夏大学学报(自然科学版),2006,27(1):6-9,12. |
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| 作者姓名： | 黄永东 朱凤娟 高岳林 |
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| 作者单位： | 1. 西北第二民族学院,信息与计算科学系,宁夏,银川,750021
2. 西北第二民族学院,基础部,宁夏,银川,750021 |
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| 基金项目： | 国家民委科研项目;西北第二民族学院校科研和教改项目 |
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| 摘 要： | 首先，给出了对应于多重多分辨分析的双正交多小波包的定义，建立了具有任意矩阵伸缩的双正交多小波包的理论框架．在此基础上，给出了具有任意矩阵伸缩的高维不可分双正交多小波包的构造方法．由此构造的多小波包的分解系数可以从不同的滤波器中抽取．这使得小波包的应用更灵活．
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| 关 键 词： | 多重尺度函数 双正交 伸缩矩阵 高维多小波包 不可分 |
| 文章编号： | 0253-2328（2006）01-0006-04 |
| 收稿时间： | 2004-12-22 |
| 修稿时间： | 2004-12-22 |
Nonseparable Biorthogonal Multiwavelet Packetsod in Higher Dimensions |
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| Huang Yongdong,Zhu Fengjuan,Gao Yuelin.Nonseparable Biorthogonal Multiwavelet Packetsod in Higher Dimensions[J].Journal of Ningxia University(Natural Science Edition),2006,27(1):6-9,12. |
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| Authors: | Huang Yongdong Zhu Fengjuan Gao Yuelin |
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| Institution: | 1. Departement of Information and Computation Science, the Second Norhwest Institute for Ethnoic Minorities, Yinchuan 750021,China; 2. Departement of Pharmacology, the Second Norhwest Institute for Ethnoic Minorities, Yinehuan 750021,China |
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| Abstract: | In this paper,we introduced the definition of biorthogonal multivariate multiwavelet packet,which associated with multiple multiresolution analysis, and developed the theory framework of multivariate multiwavelet packet. A approach of construction of nonseparable biorthogonal multiwavelet packet associated with arbitrary dilation matrix was given. The cofficient could be get from vary filter bank which was made by the construction of wavelet base much flexible. |
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| Keywords: | multiscaling function biorthogonal dilation matrix multiwavelet packet nonseparable |
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