10 pts 1. Let $x(t)$ be a periodic signal with period $T_0 = 4$ [s] and the corresponding fundamental frequency\\
$\omega_0 = \pi/2$ [rad/s]. We expand $x(t)$ in the exponential Fourier series:\
$x(t) = \sum_{n=-\infty}^{+\infty} D_n e^{jn\omega_0 t}$,\\(1)\
where the Fourier series coefficients $D_n$ are given as:\
$D_n = \begin{cases} \frac{-2j}{n\pi}(-1)^n, & n = \pm 1, \pm 2, \pm 3, ...;\\0, & n = 0. \end{cases}$ (2)\
5 pts a. Using Equation (1) synthesize $x(t)$ from its Fourier coefficients shown in Equation (2) for\\n = [-100:1:100] and plot the real part of the resulting waveform for t = [-10:0.01:10].\
5 pts b. Plot the magnitude and phase spectra vs. the radian frequency $\omega$ using the Fourier coefficients\\{$D_n$, n = 0, $\pm 1$, $\pm 2$, ..., $\pm 20$}.
