In the receiver model, a white Gaussian noise of zero mean and power spectral density N0/2 is added to the modulated signal and put through an ideal band-pass filter. The output of the band-pass filter is then applied to the detector. Assume a modulating signal m(t) as a sample function of random process with zero mean, power 1.2 Watts and bandwidth of 9 kHz. The modulated signal is given s(t) = Ac cos(2̀̀fc t + 2̀̀(0.5) ∠ m(t) dt) and the detector is an ideal frequency discriminator followed by a LPF. If Ac is 4 volts, fc is 104 MHz, the bandwidth of s(t) is 195 kHz and assuming that the carrier to noise ratio is large, then the power in the in signal related to the noise at the output of the low pass filter (output of the detector) is