A signal is obtained through impute-train sampling of a sinusoidal signal x(t) whose fre...

A signal is obtained through impute-train sampling of a sinusoidal signal x(t) whose frequency is equal to half the sampling frequency .

and

Where T = 2π/.

(a) Find g(t) that

(b) Show that

(C) Using the results of the previous two parts, show that if is applied as the input to an ideal lowpass filter with cutoff frequency , the resulting output is