| Rn上的基于Checkerboard格点的不可分双正交小波 |
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| 引用本文： | 黄超,张训峰.Rn上的基于Checkerboard格点的不可分双正交小波[J].东南大学学报(自然科学版),2006,36(2):335-340. |
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| 作者姓名： | 黄超 张训峰 |
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| 作者单位： | 1. 东南大学经济管理学院,南京,210096
2. 国防科学技术大学理学院,长沙,410073 |
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| 摘 要： | 研究了一类基于Checkerboard格点的不可分双正交小波,并证明了其尺度函数逼近阶与光滑性的上界.在此基础上提出了此类小波的构造算法.理论分析表明,使用该算法构造的小波具有很好的对称性、光滑性以及对多维信号采样的视觉优势.此外该算法能够构造具有任意给定消失矩的小波,并且其小波滤波器具有有理系数,这在多维信号处理中具有重要意义.实例分析也验证了构造算法的有效性和上述结论.
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| 关 键 词： | 不可分双正交小波 Checkerboard格点 多维信号处理 CBC算法 |
| 文章编号： | 1001-0505（2006）02-0335-05 |
| 收稿时间： | 09 22 2005 12:00AM |
| 修稿时间： | 2005-09-22 |
Nonseparable biorthogonal wavelets based on checkerboard lattice in Rn |
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| Huang Chao,Zhang Xunfeng.Nonseparable biorthogonal wavelets based on checkerboard lattice in Rn[J].Journal of Southeast University(Natural Science Edition),2006,36(2):335-340. |
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| Authors: | Huang Chao Zhang Xunfeng |
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| Institution: | 1.College of Economics and Management, Southeast University, Nanjing 210096, China; 2. School of Science, National University of Defense Technology, Changsha 410073, China |
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| Abstract: | Nonseparable biorthogonal wavelets based on Checkerboard lattice is studied,and the upper bounds of approximation order and smoothness order of the corresponding scaling function are also proved.Based on it the construction algorithm of such wavelets is brought forward.Results of theoretical analysis show that the wavelets constructed by this algorithm have good symmetry,smoothness and vision advantages in multi-dimension signal sampling.Moreover,the wavelets with arbitrary vanishing moments can be constructed by using this algorithm and the filters have rational coefficients,which is very important in multi-dimension signal processing.The practical example validates the effectiveness of the construction algorithm and above conclusions. |
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| Keywords: | nonseparable biorthogonal wavelets checkerboard lattice multi-dimension signal processing CBC algorithm |
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