Consider the low pass components of a band pass input signal defined as
xI(t) = 8cos(8πt)+2cos(16πt)+6cos(24πt)+12cos(32πt)
xQ(t) = 6sin(8πt)+10sin(16πt)+12sin(24πt)+5sin(32πt)
whose two highest frequency components needs to be filtered out.
(a) Determine and plot the magnitude of the Fourier transform of the complex envelope of the band pass input.