| 紧支小波基的非对称性及改进 |
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| 引用本文： | 王玲,宋国乡.紧支小波基的非对称性及改进[J].西安电子科技大学学报,1999,26(3). |
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| 作者姓名： | 王玲 宋国乡 |
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| 作者单位： | 西安电子科技大学应用数学系 |
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| 摘 要： | 文中给出了紧支正交小波基的非对称性（除Ｈａａｒ基外）的一种简捷且容易理解的证明方法；在讨论了紧支正交小波基的这种非对称性在实际应用中的不便后，系统地总结了两大类的改进方法，提出了一种用多尺度函数来改进其对称性的思路，并对重要的改进法给出了具体的算例
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| 关 键 词： | 紧支正交小波 对称性 coif小波 双正交小波 |
Non-symmetry of compactly supported wavelet's bases and its improvement |
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| WANG Ling,SONG Guo-xiang.Non-symmetry of compactly supported wavelet's bases and its improvement[J].Journal of Xidian University,1999,26(3). |
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| Authors: | WANG Ling SONG Guo-xiang |
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| Abstract: | A simple proof is given of the non symmetry of compactly supported wavelet bases (except Haar base). The inconvenience of the non symmetry in some applications is discussed before two types of improvement are systematically summarized. We propose an idea for improving its non symmetry by use of several scaling functions, with some examples given. |
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| Keywords: | compactly supported orthonormal wavelet symmetry coiflet biorthogonal wavelet |
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