| 构造高阶B-样条正交小波的一个递推算法 |
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| 引用本文： | 王忠仁,何樵登.构造高阶B-样条正交小波的一个递推算法[J].吉林大学学报(地球科学版),1997(4). |
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| 作者姓名： | 王忠仁 何樵登 |
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| 作者单位： | 长春科技大学应用理学院 |
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| 摘 要： | Ｂ－样条正交小波在信号分析方面有着重要的应用。由于Ｂ－样条正交小波随着阶次的升高将导致频域内支集缩小，因而分辨信号不同频率成分的能力将大大增强。因此，研究高阶Ｂ－样条正交小波的简便构造方法很有实际意义。本文独立地给出了一个构造高阶Ｂ－样条正交小波的适于计算机数值计算的递推算法，并给出了构造１１阶以下Ｂ－样条正交小波所需的系数，以供读者利用。同时还给出了一个在频域内计算脉冲响应系数的简便方法。
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| 关 键 词： | B－样条正交小波 递推算法 脉冲响应系数 频域 |
A RECURSIVE ALGORITHM FOR THE CONSTRUCTION OF ORTHOGONAL WAVELETS BASED ON THE B-SPLINES WITH THE HIGHER ORDER |
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| Wang Zhongren,He Qiaodeng.A RECURSIVE ALGORITHM FOR THE CONSTRUCTION OF ORTHOGONAL WAVELETS BASED ON THE B-SPLINES WITH THE HIGHER ORDER[J].Journal of Jilin Unviersity:Earth Science Edition,1997(4). |
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| Authors: | Wang Zhongren He Qiaodeng |
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| Abstract: | In this paper, we present a recursive algorithm for the construction of orthogonal wavelets based on the higher order B-splines, which is more suitable for numerical computation. A simple and convenient method is also given for computing impulse response coefficients in frequency domain. In order to help readers directly build their own wavelets based on the higher order B-splines, some computation results are listed. |
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| Keywords: | B-spline orthogonal wavelets recursive algorithm impulse response coefficients frequency domain |
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