| 具有高消失矩的3-进双正交对称小波的构造 |
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| 引用本文： | 邹庆云,王国秋,曹前.具有高消失矩的3-进双正交对称小波的构造[J].数学杂志,2015,35(1):12-22. |
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| 作者姓名： | 邹庆云 王国秋 曹前 |
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| 作者单位： | 1. 湖南文理学院数学学院，湖南常德 415000; 湖南师范大学数学与计算机科学学院，湖南长沙 410081
2. 湖南师范大学数学与计算机科学学院,湖南长沙,410081 |
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| 基金项目： | Supported by National Science Foundation of China(11171103);Science Foundation of Hunan Education Office(13C624;13C621);Science Foundation of Hunan University of Arts and Science(13ZD01) |
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| 摘 要： | 本文用矩阵对称扩充来构造了具有高消失矩的3带对称双正交小波.利用矩阵扩充,获得了3维矩阵对称扩充方法和小波构造的算法,并且,该算法便于计算机程序化实现;利用两个实例验证了相关的结论.
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| 关 键 词： | 双正交性 对称性 多相位矩阵 矩阵扩充 消失矩 |
| 收稿时间： | 2013/8/6 0:00:00 |
| 修稿时间： | 2013/12/24 0:00:00 |
CONSTRUCTION OF BIORTHOGONAL 3-BAND WAVELETS WITH SYMMETRY AND HIGH VANISHING MOMENTS |
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| ZOU Qing-yun,WANG Guo-qiu and CAO Qian.CONSTRUCTION OF BIORTHOGONAL 3-BAND WAVELETS WITH SYMMETRY AND HIGH VANISHING MOMENTS[J].Journal of Mathematics,2015,35(1):12-22. |
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| Authors: | ZOU Qing-yun WANG Guo-qiu and CAO Qian |
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| Institution: | ZOU Qing-yun;WANG Guo-qiu;CAO Qian;Department of Mathematics, Hunan University of Arts and Science;College of Math. and Computer Science, Hunan Normal University; |
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| Abstract: | In this paper, we investigate the biorthogonal matrix extension problem with symmetry and its application to construction of 3-band biorthogonal wavelets with compact supported, symmetry and high vanishing moments. By using the theory of matrix extension, we obtain the method of three-dimensional biorthogonal matrix extension with symmetry and a step-by-step algorithm for construction of 3-band biorthogonal wavelets, which is easily implemented by computer program. Several examples are provided to illustrate the proposed algorithm and results in this paper. |
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| Keywords: | biorthogonality symmetry polyphase matrices matrix extension vanishing moments |
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