What type of waveform is described by this fourier series

38 Views Asked by At

A signal with a time of 0.2 miliseconds is described by the below equation:

$$ f(x) = \frac{1}{2} + \sin(\omega_0x) - \frac{1}{2}\sin(2\omega_0x) +\frac{1}{3}\sin(3\omega_0x) - \frac{1}{4}\sin(4\omega_0x) + \frac{1}{5}\sin(5\omega_0x) $$

The question is to determine the type of waveform described by the fourier series graphically. I know that it is a sinusoidal wave form, but can't figure out how to graph this particular equation and show in clear steps how I came to that conclusion.

In essence, I am looking for help in actually figuring out how to graph this equation to show what type of waveform this fourier series describes.