Consider the continuous-time signal
x(t) =e ^(-j3w0t)* cos(w0t)
and the LTI system with unit impulse response
h(t) = sing((5/2)w0t)/t
where w0 is a positive real value. Let y(t) he the signal at the output of the LTI system when x(t) is the input signal. The following signals are sampled using a train of impulses with periodicity T, signal x(t) is sampled to obtain xc(t), and signal y(t) is sampled to obtain yc(t).
Determine the range of values for T that allows complete recovery of x(t) from xc(t) [pt. 10].
Determine the range of values for T that allows complete recovery of y(t) from yc(t) [pt. 10].