The first four terms in the Fourier series of a periodic waveform are [ begin{aligned} v(t)= &

Question:

The first four terms in the Fourier series of a periodic waveform are

\[
\begin{aligned}
v(t)= & 5+2.064 \sin (2000 \pi t)+0.07645 \sin (6000 \pi t) \\
& +0.01652 \sin (10,000 \pi t)
\end{aligned}
\]

(a) Find the period and fundamental frequency in $\mathrm{rad} / \mathrm{s}$ and Hz. Identify the harmonics present in the three sinusoidal terms.

(b) Identify the symmetry features of the waveform.

(c) Plot the waveform using MATLAB.