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FL2008EE757H7_SOL - SOLUTIONS UNIVERSITY OF NEW HAMPSHIRE...

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SOLUTIONS! UNIVERSITY OF NEW HAMPSHIRE DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING EE757/857 - Communication Systems FALL 2008 DUE DATE: Monday 24 th November 2008 1. Consider an FM broadcast system with parameter f Δ =75kHz and W=15kHz. Assuming S x =1/2, find the output SNR and calculate the improvement (in dB) over the baseband system. 2. Show that the output SNR of an FM system with sinusoidal modulation is given by the following expression: 2 3 2 D S N β γ = Where, β is the modulation index for FM 3. Show that narrowband FM offers no improvement in SNR over AM 4. An audio signal, X(t), is to be transmitted over a radio frequency channel with additive white noise. It is required that the output SNR be greater than 40 dB. Assume that following characteristics for X(t) and the channel: E[X(t)]=0 |X(t)| 1 S x =E[X 2 (t)]=1/2 W=15kHz The Power Spectral Density of white noise is: N o /2=10 -10 Watts/Hertz The power loss in the channel is: 50dB Calculate the transmission bandwidth, B T
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