从CTFT公式出发推导周期序列的DTFT  

Deriving DTFT of Periodic Sequence from CTFT Formula

作　　者：唐建 TANG Jian(School of Microelectronics,University of Science and Technology of China,Hefei 230027,China)

机构地区：[1]中国科学技术大学微电子学院,合肥230027

出　　处：《电气电子教学学报》2024年第1期133-136,共4页Journal of Electrical and Electronic Education

基　　金：安徽省教学研究项目(2020jyxm2269)。

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。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,提出了一个统一傅里叶变换的方法,以达到更好的教学效果。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,the unity of Fourier transform between continuous time and discrete time was discussed.Linking continuous time and discrete time Fourier analysis,a unified Fourier transform method is proposed to achieve better teaching effect.

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 

分 类 号：G420[文化科学—课程与教学论]