| 用lifting方法构造具有线性相位的双正交小波 |
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| 引用本文： | 陈佩,张卫东,许晓鸣,徐润生. 用lifting方法构造具有线性相位的双正交小波[J]. 电子与信息学报, 2002, 24(4): 486-491 |
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| 作者姓名： | 陈佩 张卫东 许晓鸣 徐润生 |
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| 作者单位： | 上海交通大学自动化研究所,上海,200030 |
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| 摘 要： | Lifting作为第2代小波的构造方法，同样能够构造出第1代小波，与传统的Daubechies方法相比，该方法简单易懂，并且容易用格状结构9Lattice structrue)构造出满足特定要求的小波，该文首先根据Lawton矩阵的性质证明了几乎所有由此方法构造出的小波满足双正交条件，然后考虑如何构造具有线性相位性质的双正交小波，最后列举几个例子说明lifting方法。
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| 关 键 词： | Lfiting方法 双正交小波 Lawton矩阵 完全重构 线性相位 |
| 收稿时间： | 2000-06-29 |
| 修稿时间： | 2000-06-29 |
Lifting-scheme-constructed wavelets: orthogonality and linear-phase property |
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| Chen Pei Zhang Weidong Xu Xiaoming Xu Runsheng. Lifting-scheme-constructed wavelets: orthogonality and linear-phase property[J]. Journal of Electronics & Information Technology, 2002, 24(4): 486-491 |
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| Authors: | Chen Pei Zhang Weidong Xu Xiaoming Xu Runsheng |
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| Affiliation: | Institute of Automation Shanghai Jiaotong University Shanghai 200030 China |
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| Abstract: | Lifting scheme, which is a new approach of constructing the second-generation wavelets, can also be used to construct first-generation ones. Compared with Daubechies's construction approach, lifting scheme can easily be grasped by readers who are not well equipped with Fourier analysis. The following fact will be proved using Lawton matrix in this paper: almost all wavelets constructed using lifting scheme satisfy the biorthogonal condition. Another topic in this paper is to ensure linear-phase property of new ones. Some examples are given to demonstrate how to construct linear-phase biorthogonal wavelets. |
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| Keywords: | Lifting scheme Biorthogonal wavelets Lawton matrix Perfect reconstruction Linear phase |
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