(Solved): 1. a. A DSB-SC modulated signal is transmitted over a noisy channel with the given the power spect ...

1. a. A DSB-SC modulated signal is transmitted over a noisy channel with the given the power spectral density of the noise as following figure. The carrier signal and the message signal of the Modulated signal are \( c(t)=0.5 \cos (2 \pi 100000 t) \) and \( m(t)=.2 \cos (2 \pi 10000 t) \). Determine the channel and the output signal-to-noise ratio of the signal. b. An AM modulated signal is transmitted over a noisy channel with the given the power spectral density of the noise as figure above. The carrier signal and the message signal of the Modulated signal are \( c(t)=0.5 \cos (2 \pi 100000 t) m(t)=0.2 \cos (2 \pi 10000 t) \). Determine the channel and the output signal-to-noise ratio of the signal at maximum amplitude sensitivity \( \left(k_{a, m a x}\right) \).