The signal x(t) = rect[(t — 2)/4] is shown in Figure P12.13. (a) Compute the four-point...

The signal x(t) = rect[(t — 2)/4] is shown in Figure P12.13.

(a) Compute the four-point DFT of the signal when it is sampled with T_s = 2 ms. Plot the magnitude and phase spectra.

(b) Use MATLAB to compute the eight-point DFT of the signal when it is sampled with T_s = 1 ms. Plot the magnitude and phase spectra.

(c) Use MATLAB to compute the 16-point DFT of the signal when it is sampled with T_s = 0.5 ms. Plot the magnitude and phase spectra.

(d) Compare the results of parts (a), (b), and (c). Comment on their relationship.