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| 从CTFT公式出发推导周期序列的DTFT |
| Deriving DTFT of Periodic Sequence From CTFT Formula |
| 投稿时间：2022-06-05 修订日期：2024-02-27 |
| DOI： |
| 中文关键词: 连续时间傅里叶变换 离散时间傅里叶变换 连续时间傅里叶级数 离散时间傅里叶级数 |
| 英文关键词: CTFT DTFT CTFS DTFS |
| 基金项目:省高校教学建设项目,高校教学研究项目 |
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| 摘要点击次数: 864 |
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| 中文摘要: |
| 基本的傅里叶变换有四种,学生在学习和使用过程中在连续和离散之间感觉有一些隔离而不容易将二者融会贯通起来,而是机械地记忆。在频域引入冲激函数后,周期信号/序列也有傅里叶变换,以便于将傅里叶分析方法应用到调制和采样等问题中,这体现了傅里叶变换统一的重要性。本文借助四种基本变换讨论了在连续和离散之间傅里叶变换的统一性,将连续时间和离散时间傅里叶分析联系起来,提供了一个统一的框架,以达到更好的教学效果。 |
| 英文摘要: |
| There are four basic Fourier transforms. In the process of learning and using, students feel that there is some isolation between continuous and discrete, and it is not easy to integrate the two, but mechanically memorize them. After introducing the impulse function in the frequency domain, the periodic signals / sequences also have Fourier transform, so that the Fourier analysis method can be applied to the problems of modulation and sampling, which reflects the importance of the unification of Fourier transform. With the help of four basic transforms, this paper discusses the unity of Fourier transform between continuous time and discrete time, links continuous time and discrete time Fourier analysis, and provides a unified framework to achieve better teaching results. |
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