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If the carrier signal Accos (2 fet) is frequency modulated using a wide sense stationary message signal m(t) with power spectral density same as

If the carrier signal Accos (2 fet) is frequency modulated using a wide sense stationary message signal m(t)

If the carrier signal Accos (2 fet) is frequency modulated using a wide sense stationary message signal m(t) with power spectral density same as in equation (4) of question (8) and a sensitivity factor (K) at the transmitter. Assume that the modulated signal r(t) is passed through an ideal channel and being received at the receiver as r(t) = x(t) + n(t), (5) where x(t) is frequency modulated signal and n(t) is wide sense stationary white noise with power spectral density W/Hz that got added at the receiver. Now the received signal is passed through FM demodulator which does the following: bandpass filtering followed by limiter followed by frequency discriminator and followed by low pass filter to get the message output. Find out the SNR output of the recovered message signal after the low pass filter where the magnitude response of the low pass filter used is given by, |H(f)| = 1 (1 + (+)4) 1/2 (6) Assume all other filters used are ideal and the transmission bandwidth is much higher than twice the message bandwidth (Br >> 2W). 6 Marks)

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