| Fourier变换及其应用 |
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| 引用本文： | 黄益群,范国良. Fourier变换及其应用[J]. 安庆师范学院学报(自然科学版), 2004, 10(3): 69-71 |
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| 作者姓名： | 黄益群 范国良 |
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| 作者单位： | 潜山二中,安徽,潜山,246300;安庆师范学院,数学系,安徽,安庆,246011 |
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| 摘 要： | F ourier变换对现代科学技术具有重要意义 ,它是处理数学物理方程 ,概率论和随机过程等学科中的问题的一种重要方法 ;在工业自动化 ,电子学 ,水利科学 ,水资源开发利用 ,通信理论等多种科学技术中有广泛应用。本文从分析理论出发 ,讨论 Fourier变换的一些基本性质并给出了 F ourier变换的一些应用
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| 关 键 词： | 傅立叶变换 象函数 原函数 卷积 卷积定理 |
| 文章编号： | 1007-4260(2004)03-0069-03 |
The Fourier Transform and Its Appliacation |
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| HUANG Yi-qun,FAN Guo-liang. The Fourier Transform and Its Appliacation[J]. Journal of Anqing Teachers College(Natural Science Edition), 2004, 10(3): 69-71 |
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| Authors: | HUANG Yi-qun FAN Guo-liang |
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| Affiliation: | HUANG Yi-qun~1,FAN Guo-liang~2 |
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| Abstract: | The transformation of Fourier has an important meaning to modern science technique, and it can do with many problems which appear in the equation of physics and mathematics, probability theorem, andom process and so on. It also has applied in industry automate, electronics, water conservancy science, waters resoruces explotiation, correspond by letter theories and so on. This text sets out from the theory of analysis, firstly, it leads to the definition of the transformation of Fourier, then it describes some basic nature of Fourier transformation: the line property, symmetry property, moves property, elephant function application for moving property, differential calculus property, and the theory of addidion. |
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| Keywords: | the Foruier transform elephant function origina function convolution convoluiton theorem |
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