Question: 5) A message signal m(t) with BW 5kHz, |m(t)|

5) A message signal m(t) with BW 5kHz, |m(t)|<=1V and power 0.1W is transmitted using FM over a channel of bandwidth 100kHz and attenuation of 160dB. The noise is white with PSD 5 x 10-21 W/Hz and the transmitter transmits the signal with 10kW of power. a) Consider a frequency sensitivity kf of 25kHz/V. What is the SNR at the output of the receiver? b) Assuming that the SNR derivation is still valid for larger values of kf, what would be the maximum SNR at the output that could be achieved by increasing kf and what is the maximum kf that can be used considering all other conditions as before? (TIP: remember Carsons rule) TIPs:

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