Matlab符号计算在傅里叶级数分析中的应用

Application of Symbolic Calculation of Matlab on Fourier Series Analysis

傅里叶级数分析是电路分析的重要内容之一,其求解公式形式简单、含义明确,但对一些常见周期波形,应用公式求傅里叶级数时,常常面临较大的计算量。本文利用Matlab的符号计算功能,编写了用于傅里叶级数分析的函数,通过实例介绍了该函数在傅里叶级数分析中的应用。将符号计算引入电路分析可将学生从繁重的手工计算中解脱出来,将更多的时间用于对基本概念和基本方法的理解,还可提高学生的学习兴趣和课堂教学效果。所编程序可供在傅里叶级数分析的教学中使用。

Fourier series analysis is an important aspect in circuit analysis. The formulas for Fourier series analysis have simple forms and definite meanings, but involve a large amount of calculation. In this paper, a function is written in Matlab language by its symbolic calculation, and examples with the function are given. By applying symbilic calculation of Matlab, more time can be obtained for students to comprehend basic concepts and principles, and students＇ interests in circuits and the teaching effect can be enhanced. The programs are helpful for the teaching of Fourier series.