Consider a signal x(t) = 4cos(2t) defined for < t < . For the following values of the sampling period T s generate

Consider a signal x(t) = 4cos(2πt) defined for − ∞ < t < ∞. For the following values of the sampling period T_s generate a discretetime signal x(n) = x(nT_s) = x(t)∣_t=nTs.

(i) T_s = 0.1, (ii) T_s = 0.5,    (iii) T_s = 1

Determine for which of the given values of T_s the discretetime signal has lost the information in the continuous-time signal. Use MATLAB to plot x(t) (use T_s = 10⁻⁴ and the plot function) and the resulting discrete-time signals (use the stemfunction). Superimpose the analog and the discrete-time signals for 0 ≤ t ≤ 3; use subplot to plot the four figures as one figure. You also need to figure out how to label the different axes and how to have the same scales and units.