让枯燥无味的数学变得“有趣、有味、有惑”——Matlab中的音乐合成  

Making Boring Math Interesting,Sapid,and Intriguing——Animation and Music Synthesis by Matlab

作　　者：易昆南[1] 李慧[1] 赵澍源 

机构地区：[1]中南大学数学与统计学院,湖南长沙410075

出　　处：《实验室研究与探索》2014年第6期114-117,共4页Research and Exploration In Laboratory

基　　金：湖南省科技计划项目(2012ZK3100)

摘　　要：探讨了在Matlab实验教学中,通过设计问题"音乐与数学有关吗?"揭示了音乐信号是由一系列振幅和频率不一的正弦波叠加且带有不同包络修饰形成的,进而采用曲线拟合来定包络。以傅里叶变换来研究音乐的合成,从数学的角度生动直观的展示了数学与音乐结合的无穷魅力,激发学生的学习兴趣,以提升学生综合素质与创新能力。This article discusses the Matlab in the experiment teaching, through the designed prnblem： ＂ Is music related with mathematics？＂ The problem reveals that the music signal is a superposition of a series of sine waves. Their different amplitudes and frequencie, s are enveloped, so that these envelopes can be made by using curve fitting. The synthesis of Fourier transform can be applied to study music. The teaching is from a mathematical point of view, can vivid show the infinile charm of the combination of mathematics and music. It will stimulate students＇ interest in learning and enhance the students＇ comprehensive quality and innovation ability.

关 键 词：包络 傅里叶变换 音乐合成 MATLAB 

分 类 号：O174.22[理学—数学]