Let the message signal M(t) be a WSS process with the autocorrelation function R, (7) =16sinc(10000 r) and the maximum magnitude of the message signal is 6. This message signal is modulated and transmitted through a channel with 50dB attenuation and additive white noise with psd N,/2=1012 W/Hz. If we require that the output SNR (the SNR after demodulation) be 50DB, in each of the following cases find the necessary transmitted power. a. DSB-SC amplitude modulation b. USSB amplitude modulation c. Conventional amplitude modulation with a modulation index of 0.8. Hint: Determine the bandwidth W of the message by observing its psd and express the baseband SNR in terms of the transmitted power Pr. Note 10log(P, / P)=50DB 3.

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3/5
Let the message signal M(t) be a WSS process with the autocorrelation
function Ry (7) =16sinc(10000 T) and the maximum magnitude of the message
3.
signal is 6. This message signal is modulated and transmitted through a channel
with 50DB attenuation and additive white noise with psd N,/2=1012 W/Hz. If
we require that the output SNR (the SNR after demodulation) be 50dB, in each of
the following cases find the necessary transmitted power.
a. DSB-SC amplitude modulation
b. USSB amplitude modulation
c. Conventional amplitude modulation with a modulation index of 0.8.
Hint: Determine the bandwidth W of the message by observing its psd and express the
baseband SNR in terms of the transmitted power Pr. Note 10log(P, / PR)=50dB
Transcribed Image Text:3/5 Let the message signal M(t) be a WSS process with the autocorrelation function Ry (7) =16sinc(10000 T) and the maximum magnitude of the message 3. signal is 6. This message signal is modulated and transmitted through a channel with 50DB attenuation and additive white noise with psd N,/2=1012 W/Hz. If we require that the output SNR (the SNR after demodulation) be 50dB, in each of the following cases find the necessary transmitted power. a. DSB-SC amplitude modulation b. USSB amplitude modulation c. Conventional amplitude modulation with a modulation index of 0.8. Hint: Determine the bandwidth W of the message by observing its psd and express the baseband SNR in terms of the transmitted power Pr. Note 10log(P, / PR)=50dB
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