| 关于多元双正交多重小波包性质的研究 |
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| 引用本文： | 安宗灵,冯金顺,方勤华.关于多元双正交多重小波包性质的研究[J].南阳师范学院学报,2007,6(6):15-19. |
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| 作者姓名： | 安宗灵 冯金顺 方勤华 |
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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. 信阳师范学院,数学系,河南,信阳,464000 |
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| 摘 要： | 给出对应于多元双正交多重尺度函数的多重小波包的定义及其构造方法,应用时频分析方法与矩阵理论,讨论了多元多重小波包的双正交性。
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| 关 键 词： | 双正交 加细方程 多重尺度函数 多分辨分析 多重小波包 |
| 文章编号： | 1671-6132（2007）06-0015-05 |
| 修稿时间： | 2007-03-20 |
Study on properties of biorthogonal multivariate multiwavelet packets |
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| AN Zong-ling,FENG Jin-shun,FANG Qin-hua.Study on properties of biorthogonal multivariate multiwavelet packets[J].Journal of Nanyang Teachers College,2007,6(6):15-19. |
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| Authors: | AN Zong-ling FENG Jin-shun FANG Qin-hua |
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| Institution: | AN Zong-ling, FENG Jin-shun, FANG Qin-hua( 1. School of Education, Nanyang Institute of Science ＆ Technology, Nanyang 473000, China; 2. Department of Mathematics, Xinyang Normal University, Xinyang 464000, China) |
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| Abstract: | In this paper,the definition for the biorthogonal multiple wavelet packets associated with a pair of biorthogonal multiple scaling functions in higher dimension is given and an algorithm for constructing them is proposed.The biorthogonality properties of multivariate biorthogonal multiwavelet packets has been investigated by means of time-frequency analysis method and matrix theory. |
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| Keywords: | biorthogonal refinement equation multiple scaling function multiresolution analysis multiple wavelet packets |
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