(a) Determine the auto-correlation for the square pulse s(t) =
rect(t/τ) where rect(t=τ) = 1 for
-τ=2 <= t <= τ=2 and is 0 elsewhere.
(b) Calculate the normalized energy in the pulse.
(c) Calculate and plot the normalized energy spectral density of the pulse.
(d) If the pulse is passed through a lowpass, RC filter shown below, with RC = 1x10-3 with
τ = 2 x 10-3, plot the normalized energy spectral density of the output signal y(t).