Consider the following analog sinusoidal signal:
Xa(t) = 3 sin(100rrt)
(a) Sketch the signal xa(t) for 0 S t S 30 ms.
(b) The signal xa(t) is sampled with a sampling rate Fs = 300 samples/so Determine
the frequency of the discrete-time signal x(n) = xa(nT), T = 1/ F." 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 F., such that the signal x(n) reaches its peak value
of 3? What is the minimum Fs suitable for this task?
1.6 A continuous-time sinusoid xa(t) with fundamental period