Matlab在周期信号分解及频谱中的应用

Application of Matlab in periodic signal decomposition and spectrum

利用Matlab对方波、锯齿波、三角波等周期信号进行傅里叶级数分解和合成,直观演示了谐波合成过程和吉布斯现象,并且画出方波分解的三维图形,通过调整视角观察信号时域波形与频域频谱的关系。实践表明,将Matlab引入教学可以帮助学生把握重点、理解难点,激发了学生学习兴趣,起到了很好的教学辅助作用,有效地改善了教学效果。

This paper uses Matlab to simulate Fourier series decomposition and synthesis of square wave,sawtooth wave and triangle wave,and presents a lively and direct view of harmonic synthesis process and the Gibbs phenomenon.It uses Matlab to draw the square wave decomposition 3Dgraphics and analyses the relationship between signal waveform and spectrum by adjust angle of view.The teaching activity shows that adding the vivid Matlab simulation into the abstract theory teaching is helpful to deepen students＇ understanding,master the course contents,stimulate their learning interest and improve the teaching effect effectively.