| 基于双尺度方程近似解的适合任何连续信号的近似采样定理 |
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| 引用本文： | 郭田德,高自友,吴士泉. 基于双尺度方程近似解的适合任何连续信号的近似采样定理[J]. 系统科学与数学, 2001, 21(1): 064-071 |
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| 作者姓名： | 郭田德 高自友 吴士泉 |
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| 作者单位： | 1. 北方交通大学交通运输学院,
2. 中国科学院数学与系统科学研究院数学研究所, |
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| 基金项目： | 国家自然科学基金(No:19971002)资助课题. |
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| 摘 要： | 提出了一个对任何连续信号,利用双尺度方程的近似解的近似采样定理.采样函数是一个双尺度方程的近似解,是一个逐段线性函数,有明确的计算公式,且精度可以控制.采样函数由双尺度方程的系数唯一决定,可以通过选择双尺度方程的系数而使采样函数具有良好的性质.
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| 关 键 词： | 采样定理 双尺度方程 小波变换 多尺度分析. |
| 修稿时间： | 1999-02-02 |
APPROXIMATED SAMPLING THEORY FOR THE ARBITRARY CONTINUOUS FUNCTION BASED ON APPROXIMATED SOLUTION OF TWO-SCALE EQUATION |
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| Guo Tiande,Gao Ziyou,Wu Shiquan. APPROXIMATED SAMPLING THEORY FOR THE ARBITRARY CONTINUOUS FUNCTION BASED ON APPROXIMATED SOLUTION OF TWO-SCALE EQUATION[J]. Journal of Systems Science and Mathematical Sciences, 2001, 21(1): 064-071 |
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| Authors: | Guo Tiande Gao Ziyou Wu Shiquan |
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| Affiliation: | (1)College of Transportation,Northern Jiaotong University, Beijing 100044,P.R.China;(2)Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080,P.R.China |
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| Abstract: | In this paper, an approximated sampling theory for the arbitrary continuous function is provided, which only uses piece-wise linear approximated two-scale function. For any arbitrary continuous signal, it can be well represented by its sampling. |
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| Keywords: | Sampling theory two-scale equation wavelet analysis multiresolution analysis. |
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