| 区间上的双正交零边值小波 |
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| 引用本文： | 庄智涛.区间上的双正交零边值小波[J].北京工业大学学报,2010,36(6). |
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| 作者姓名： | 庄智涛 |
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| 作者单位： | 北京工业大学,应用数理学院,北京,100124 |
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| 基金项目： | 国家自然科学基金资助项目，北京市自然科学基金资助项目 |
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| 摘 要： | 由于许多方程具有零边值,要求小波在有限区域上也具有零边值,因此给出了一种零边值小波的构造方法.此方法以直线上的双正交小波为内部小波,构造了合适的边界小波,从而形成了区间0,1]上具有零边值的小波.
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| 关 键 词： | 边界 小波 样条 |
Biorthogonal Wavelets With Zero Boundary on the Interval |
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| ZHUANG Zhi-tao.Biorthogonal Wavelets With Zero Boundary on the Interval[J].Journal of Beijing Polytechnic University,2010,36(6). |
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| Authors: | ZHUANG Zhi-tao |
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| Affiliation: | ZHUANG Zhi-tao(College of Applied Sciences,Beijing University of Technology,Beijing 100124,China) |
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| Abstract: | Since most of the equations have zero boundary,and the corresponding wavelets on the interval also need zero boundary values.According to this observation,a new construction of wavelets is established.By choosing biorthogonal wavelets on the interval as the inner wavelets and proper functions as the boundary wavelets,the wavelets on the interval with zero boundary value are obtained. |
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| Keywords: | boundary wavelet spline |
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