1. (2.5 2.5 5 points) Consider the real-valued passband signal zp(t) = xc(t)cos(27fet)-as(t) sin(27 fet) where,...
1. (2.5 2.5 5 points) Consider the real-valued passband signal zp(t) = xc(t)cos(27fet)-as(t) sin(27 fet) where, as usual, xe(t) and xs(t) are real-valued baseband signals with (real) bandwidth W/2. Let Ee, Es, Ep represent respectively, the energies of xp(t), xc(t), x,(t) W, show that f re(t) cos(4 fet)dt = J ,(t) cos(47fet) = 0. (a) Assume that fe (b) Show that Ep = Ec/2+ Es/2. Hint: Use trigonometric identities on