3.3-7 Using the frequency-shifting property and Table 3.1, find the inverse Fourier transform of the spectra shown in Fig. P3.3-7. Figure P3.3-7 G(0) 0 G(∞) 0 (b) 3.3-10 The process of recovering a signal g(t) from the modulated signal g(t) cos ant is called demodulation. Show that the signal g(t) cos of can be demodulated by multiplying it with 2 cos copt and passing the product through a low-pass filter of bandwidth W rad/s [the bandwidth of g(t)]. Assume W<0. Hint: 2 cos² copt 1+ cos 2apt. Recognize that the spectrum of g(t) cos 2ant is centered at 20 and will be suppressed by a low-pass filter of bandwidth W rad/s.