2) Consider the detection gain for the linear modulation systems, defined by
Fig. of M. = \frac{SNR_o}{SNR_i},
where $SNR_i$ represents the input SNR before demodulation while $SNR_o$ the output SNR
after demodulation.
a) A coherent demodulation is assumed for the DSB-SC signal and an additive white
Gaussian noise (AWGN) is introduced in the channel. Clearly explain the reason why
the demodulation process provides the detection gain of 2.
(Hint: use the frequency-domain concept.)
b) With the same assumptions as in part (a), clearly explain the reason why the detection
gain reduces to 1 for the SSB signal.