摘要
通过方波与方波、正弦波与方波合成的图形来研究李萨如图形,利用傅里叶级数理论把方波展开为正弦和余弦形式的傅里叶级数,然后利用Matlab软件来合成2列相互垂直的方波与正弦波以及2列方波的李萨如图形,并与实验上观察到的现象进行比较,并分析了两者之间的差异.
Lissajous figures produced by taking two square waves and taking a sine wave and a square wave are investigated respectively. Using Fourier series theory, the square wave is expanded by sine and cosine Fourier series, and the Lissajous figures are produced by taking a square wave and a sine wave, and two square waves using Matlab. The differences between the theoretical simulations and the experimental results are analyzed, and a simple explanation is also given.
出处
《物理实验》
2008年第1期42-45,共4页
Physics Experimentation
关键词
方波
正弦波
李萨如图形
傅里叶级数
square waves
sine waves
Lissajous figures
Fourier series