Question

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(2??fc t + 2??(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 a. 3.04e10 N0 b. 3.09e14 N0 c. 4.05e11 N0 d. 375 N0 e. 1.50e9 N0

          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(2??fc t + 2??(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

a. 3.04e10 N0
b. 3.09e14 N0
c. 4.05e11 N0
d. 375 N0
e. 1.50e9 N0
        
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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(2??fc t + 2??(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

a. 3.04e10 N0
b. 3.09e14 N0
c. 4.05e11 N0
d. 375 N0
e. 1.50e9 N0

Added by Vicente C.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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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
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00:01 Now the signal s of t is equal to ac cause 2 pi fct plus 2 pi k f integration of m -t with respect to dt...
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