Question: Consider the following analog sinusoidal signal: xa(t) = 3 sin (100t) (a) Sketch the signal xa(t) for 0 t 30 ms. (b) The

Consider the following analog sinusoidal signal:

xa(t) = 3 sin (100πt)

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

(b) The signal xa(t) is sampled with a sampling rate Fs = 300 samples/s. Determine the frequency of the discrete-time signal x(n) = xa(nT), T = 1/Fs, 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 xa(t). What is the period of the discrete-time signal in milliseconds?

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

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