工程应用牵引的傅里叶变换教学方法探讨  

Discussion on Teaching Method of Fourier Transforms Led by Engineering Application

作　　者：李月娥[1] 刘毓超 LI Yuee;LIU Yuchao(School of Information Science and Engineering,Lanzhou University,Lanzhou 730000,China)

机构地区：[1]兰州大学信息科学与工程学院,兰州730000

出　　处：《电气电子教学学报》2024年第5期132-136,共5页Journal of Electrical and Electronic Education

基　　金：国家自然科学基金(61405083)。

摘　　要：傅里叶变换理论广泛应用于数学、物理及工科等领域。傅里叶变换概念对于初学者而言复杂且晦涩难懂,传统教学模式难以激起学习兴趣。为解决这一现状,本文探讨通过一维和二维傅里叶变换的应用实例来形象展示傅里叶变换的原理及其性质。以日常生活中的音频信号展现一维傅里叶变换的应用,以图像信号为例来阐述二维傅里叶变换理论与价值,使初学者更加深刻地理解傅里叶变换理论的本质。Fourier transform theory is widely used in mathematics,physics,engineering,and other fields.For beginners,the content of Fourier transform is complex,diverse and difficult to understand.The traditional teaching mode is difficult to arouse the learning interest of beginners.In order to solve this situation,this article discusses how to vividly demonstrate the principles and properties of Fourier transform through application examples of one-dimensional and two-dimensional Fourier transform.We demonstrate the application of audio signals in daily life for one-dimensional Fourier transform,and illustrate the theory and value of twodimensional Fourier transform using image signals as an example,enabling beginners to have a deeper understanding of the essence of Fourier transform theory.

关 键 词：傅里叶变换 MATLAB 可视化 

分 类 号：O451[理学—无线电物理]