傅立叶级数展开在本科教学中的应用

M. Reis, S. Soares, Simão Cardeal, R. Morais, Emanuel Peres, P. J. Ferreira
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引用次数: 4

摘要

本文讨论傅立叶级数概念在电气工程本科教学中的应用。我们简要回顾了一些基本的傅立叶级数理论,并提出了一个在这种情况下很有用的Android应用程序。正如预期的那样,该应用程序具有易于使用,友好的界面,并且可以被视为帮助本科生测试和评估一组典型信号的傅立叶级数展开的工具,这些信号的傅立叶级数系数是在理论讲座中发现的。此外,学生还可以控制总近似误差和在展开中使用的项/谐波数。与传统的基于web的applet应用程序相比,我们的学生似乎更喜欢这个Android应用程序。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Teaching of Fourier series expansions in undergraduate education
Here we discuss the teaching of Fourier series concepts in connection with undergraduate Electrical Engineering education. We briefly review some of the basic Fourier series theory, and present an Android application that has been found useful in this context. As expected, the application has an easy-to-use, friendly interface, and can be viewed as a tool to help undergraduate students test and assess the Fourier series expansions on a typical set of signals, whose analytical Fourier series coefficients were found during the theoretical lectures. Additionally, students can also control the total approximation error and the number of terms/harmonics used in the expansion. It seems that our students prefer this Android application to the traditional applet fashioned web-based applications.
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