Fall 2003: Final exam NAME PROBLEM 3 (35pts) Consider the following system cos wbt cost ae(t) ge(t) HGw) HGu) a(t) y(t) H(w) sin wbt sin wct The Fourier transform of r(t), XGu)has real and imaginary parts given below Re(xGu)) SmX(w) -wb For your convenience, the identical figures above are attached along with the transform tables