| 外推法在加权离散Fourier变换中的应用 |
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| 引用本文： | 王富林. 外推法在加权离散Fourier变换中的应用[J]. 南京理工大学学报(自然科学版), 1991, 0(4) |
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| 作者姓名： | 王富林 |
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| 作者单位： | 华东工学院861111班 |
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| 摘 要： | 该文将外推法应用于加权离散Fourier变换,利用Euler-Machau-rin公式及Richarson外推技巧,给出了基于加权离散Fourier变换的外推公式,并证明了其误差估计为O(T~(2m+2))。最后与离散Fourier变换及加权离散Fourier变换的误差进行了比较。
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| 关 键 词： | 外推法 离散 Fourier变换 误差估计 计算方法 |
The Applieation of Extrapolation in Discrete Fourier Transformations with Weight |
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| Wang Fulin Class. The Applieation of Extrapolation in Discrete Fourier Transformations with Weight[J]. Journal of Nanjing University of Science and Technology(Nature Science), 1991, 0(4) |
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| Authors: | Wang Fulin Class |
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| Affiliation: | Wang Fulin Class 861111 |
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| Abstract: | In this paper,extrapolation is applied to discrete Fourier trans-form with weight, using Euler-Machaurin's formula and Richavson's tech-nique of extrapolation,present the extrapolated formula about discrete Fouriertransform with weight,prove the erros of formula are O (T~(2m+2)). And final-ly,it makes some comparison among error of discrete Fourier transform,errorof discrete Fourier with weight and error of formulae. |
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| Keywords: | extrapolation method discrete Fourier transformation error estimate computational method |
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