| 用群论的基础知识理解信号处理中的一些基本概念 |
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| 引用本文： | 何劼.用群论的基础知识理解信号处理中的一些基本概念[J].中央民族大学学报(自然科学版),2007,16(3):259-261,267. |
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| 作者姓名： | 何劼 |
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| 作者单位： | 清华大学,核能与新能源技术研究院,北京,100084 |
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| 摘 要： | 将时域和频域信号空间视为两个群,并通过Fourier变换建立这两个群之间的同构映射.在此基础上应用抽象代数的知识简化信号处理课程中一些公式的推导,并帮助理解一些基本概念.
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| 关 键 词： | 群 信号处理 同构 Fourier变换 卷积 |
| 文章编号： | 1005-8036（2007）03-0259-03 |
| 修稿时间： | 2007-04-26 |
An Understanding of Some Basic Conceptions in Signal Processing by Primary Knowledge of Group Theory |
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| HE Jie.An Understanding of Some Basic Conceptions in Signal Processing by Primary Knowledge of Group Theory[J].Journal of The Central University for Nationalities(Natural Sciences Edition),2007,16(3):259-261,267. |
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| Authors: | HE Jie |
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| Institution: | Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China |
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| Abstract: | The domains of time and frequency signals are viewed as two isomorphic groups,under the mapping of Fourier transformation.Based on this,the inference process of some formulae in signal processing courses can be simplified,and conceptions are easily understood with the aid of some primary knowledge from abstract algebra. |
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| Keywords: | group theory signal processing isomorphism Fourier transformation convolution |
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