Consider the following analog sinusoidal signal: (a) Sketch the signal xa(t) fo...

Consider the following analog sinusoidal signal:

(a) Sketch the signal x_a(t) for 0 ≤ t ≤ 30 ms.

(b) The signal x_a (t) is sampled with a sampling rate F_s = 300 samples/s. Determine the frequency of the discrete-time signal x(n) = x_a(nT), T = 1/F_s and show that it is periodic.

(c) Compute the sample values in one period of x(n). Sketch x(n) on the same diagram with x_a (0). What is the period of the discrete-time signal in milliseconds?

(d) Can you find a sampling rate F_s such that the signal x(n) reaches its peak value of 3? What is the minimum F_s suitable for this task?