| Optimized Local Trigonometric Bases with Nonuniform Partitions |
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| 引用本文： | Qiao Fang LIAN Yong Ge WANG Dun Yan YAN. Optimized Local Trigonometric Bases with Nonuniform Partitions[J]. 数学学报(英文版), 2006, 22(4): 1069-1084. DOI: 10.1007/s10114-005-0647-9 |
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| 作者姓名： | Qiao Fang LIAN Yong Ge WANG Dun Yan YAN |
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| 作者单位： | [1]Department of Mathematics, Beijing Jiaotong University, Beijing 100044, P. R. China [2]Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics,Beijing 100083, P. R. China [3]Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China [4]School of Information Science and Engineering, the Graduate School of the Chinese Academy of Sciences, Beijing 100039, P. R. China |
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| 基金项目： | Supported by the National Natural Science Foundation of China （No. 10371122）, and the second author is supported by Tianyuan Fund for Mathematics （No. A0324648） |
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| 摘 要： | ![]()
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| 关 键 词： | 最优化局部三角基础 Bell函数 不均匀隔断 数字例子 |
| 收稿时间： | 2003-09-22 |
| 修稿时间： | 2003-09-222004-02-06 |
Optimized Local Trigonometric Bases with Nonuniform Partitions |
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| Qiao Fang Lian,Yong Ge Wang,Dun Yan Yan. Optimized Local Trigonometric Bases with Nonuniform Partitions[J]. Acta Mathematica Sinica(English Series), 2006, 22(4): 1069-1084. DOI: 10.1007/s10114-005-0647-9 |
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| Authors: | Qiao Fang Lian Yong Ge Wang Dun Yan Yan |
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| Affiliation: | (1) Department of Mathematics, Beijing Jiaotong University, Beijing 100044, P. R. China;(2) Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China;(3) Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China;(4) School of Information Science and Engineering, the Graduate School of the Chinese Academy of Sciences, Beijing 100039, P. R. China |
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| Abstract: | ![]()
The authors provide optimized local trigonometric bases with nonuniform partitions which efficiently compress trigonometric functions. Numerical examples demonstrate that in many cases the proposed bases provide better compression than the optimized bases with uniform partitions obtained by Matviyenko. |
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| Keywords: | Optimized local trigonometric bases Bell functions Nonuniform partitions |
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