| 平衡多小波和多滤波器库 |
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| 引用本文： | 高协平,李笑岚.平衡多小波和多滤波器库[J].湘潭大学自然科学学报,2001,23(3):92-103. |
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| 作者姓名： | 高协平 李笑岚 |
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| 作者单位： | 1. 湘潭大学信息工程学院
2. 北京大学信息科学中心 |
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| 基金项目： | 国家自然科学基金(69875014);教育部高校骨干教师基金(GG-520-10530-1022);湖南省自然科学基金资助(00JJY2058) |
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| 摘 要： | 提出了根据多滤波器库的3种参数表达式来构造平衡多小波的方法，讨论了关于对称性的多小波系统的分类，研究了多小波系统的参数与多小波的各种性质(如逼近阶、正则性、平衡性等)之间的等价数学关系，实际上建立了对小波的各种性质有不同要求的不同领域的应用者可供选择的参数多小波库．
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| 关 键 词： | 平衡多小渡 对称性 逼近阶 参数表达式 |
| 文章编号： | 1000-5900(2001)03-0092-12 |
Balanced Multiwavelet and Multifilter Bank |
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| GAO Xie-ping,LI Xiao-lan.Balanced Multiwavelet and Multifilter Bank[J].Natural Science Journal of Xiangtan University,2001,23(3):92-103. |
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| Authors: | GAO Xie-ping LI Xiao-lan |
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| Abstract: | In this paper, we introduce a way to p roduce multiwavelet system, specially the balanced multiwavelet system, accordin g to three kinds of parametric expressions of the multifilter banks. And discuss the following aspects of the multiwavelet systems generated by these multifilte r banks: 1) the classification of balanced multiwavelet systems according to the symmetry of their every component; 2) the relations between the free parameters appearing during construction and the properties(especially, the approximation order, regularity order and balancing property)of multiwavelet systems. Finally,we show the correctness and reasonableness of the results through examples. |
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| Keywords: | Multiwavelets Balanced Multiwavelets symmetry app roximation order parametric expression |
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