2) Consider the detection gain for the linear modulation systems, defined by SNRi, where SNR represents the input SNR before demodulation while SNRo represents 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.