复指数函数内涵的傅里叶变换教学方法探索

在电子信息类教学中，以傅里叶变换为代表的变换域思想是贯穿多门专业基础课的核心知识点之一。傅里叶变换的公式虽然不算复杂，但由于教学的侧重点不同，学生往往只是机械记忆而缺乏对原理本质的深入理解。依据教学实践，本文从图像入手，介绍复指数函数和时间函数的缠绕特性，探讨了一种能够反映复指数函数内涵的傅里叶变换教学方法。结果表明，这种方法使学生能更直观地理解和掌握核心知识点和研究思想，激发学习兴趣，改善教学效果。

Teaching Method Research on Fourier Transform based on Complex Exponential Function

In the teaching of electronic information majors in science and engineering, the transform domain idea represented by Fourier transform is one of the core knowledge points running through many professional courses. Although the formula of Fourier transform is not complicated, due to the different emphasis of each course, students often only have mechanical memory and lack of in-depth understanding of the formula. Therefore, according to the teaching practice of related courses, this paper proposes a Fourier transform teaching method based on the complex exponential function connotation understanding. By starting with the complex exponential function image, the complex exponential function and the original in the Fourier transform are introduced. The function''s entanglement with frequency allows students to understand the principle and idea of Fourier transform formula to realize time domain to frequency domain transformation, so as to deepen the understanding and mastery of students'' theoretical knowledge, stimulate students'' interest in learning and improve classroom teaching effect.