数学实验傅里叶变换及其应用的教学设计  

Teaching design of Fourier transform and its application in mathematics experiment

作　　者：瞿勇[1] 金裕红[1] 袁昊劼[1] 

机构地区：[1]海军工程大学理学院,湖北武汉430033

出　　处：《实验室科学》2015年第2期27-30,共4页Laboratory Science

摘　　要：数学实验旨在借助计算机来探索和发现数学规律。作为数学教学中的重要内容,傅里叶变换及其应用也是学习难点。本实验设计是在介绍相关知识的基础上,利用MATLAB软件分别针对傅里叶变换与采样定理、信号的降噪过程、信号的数据压缩过程等内容设计三个实验示例,并将实验结果以直观的图像形式呈现,通过对实验结果的分析,加深学生对傅里叶变换及其应用的理解,也培养了学生综合分析和解决实际问题的能力。最后精心设计实验任务,提高学员的学习兴趣与主动性。Mathematics experiment aims at exploring and discovering mathematical laws with computers. As an important part in mathematics teaching, Fourier transform and its applications are also the difficult points. In the basis of introducing relevant knowledge, the experiment course includes three examples about Fourier transform ＆ Nyquist＇s theorem, noise reduction progress and data compression process of signal, which can be accomplished by MATLAB software. Additionally, taking on the experimental results via images and making a analysis of the experimental results, help students strengthen the understanding of Fourier transform and its application, which also improve students＇ capability on analyzing and solving problems. Finally, well-connected experiment tasks contribute to improve the students＇ learning interest and initiative.

关 键 词：傅里叶变换 数学实验 数学软件 MATLAB 

分 类 号：O174.22[理学—数学] G642[理学—基础数学]