| a尺度正交小波的Mallat算法 |
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| 引用本文： | 王帅灵,樊启斌,郑宏.a尺度正交小波的Mallat算法[J].数学杂志,2007,27(6):664-668. |
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| 作者姓名： | 王帅灵 樊启斌 郑宏 |
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| 作者单位： | 武汉大学数学与统计学院,湖北武汉,430072 |
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| 摘 要： | 本文研究了a尺度正交小波的Mallat算法,利用a重多分辨分析,得到了正交小波的分解与重构算法,给出了Haar小波的Mallat算法的矩阵表示,并简化了计算.
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| 关 键 词： | 正交小波 多分辨分析 Mallat算法 |
| 文章编号： | 0255-7797（2007）06-0664-05 |
| 修稿时间： | 2005-10-18 |
THE MALLAT ALGORITHM OF ORTHONORMAL WAVELETS WITH DILATION FACTOR a |
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| WANG Shuai-ling,FAN Qi-bin,ZHENG Hong.THE MALLAT ALGORITHM OF ORTHONORMAL WAVELETS WITH DILATION FACTOR a[J].Journal of Mathematics,2007,27(6):664-668. |
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| Authors: | WANG Shuai-ling FAN Qi-bin ZHENG Hong |
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| Institution: | School of Mathematics and Statistics ,Wuhan University ,Wuhan 430072,China |
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| Abstract: | In this paper, we study the Mallat algorithm of orthonormal wavelets with dilation factor a. Using the theory of a multiplicity a multiresolution analysis, we get the decomposition and reconstruction algorithm of orthonormal wavelets. The matrix representation of Mallat algorithm corresponding to Haar wavelet is given, which simplifies the computation. |
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| Keywords: | orthonormal wavelet multiresolution analysis Mallat algorithm |
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