the demodulation process, a locally generated carrier cd)=2cos(2is used before the a low pass filter with transfer function H2000 1) (4o points) By writing the equation of the signal (), is this system a) AM, b)FM, c)PM d) coherent, 2) (20 points) What is the power spectral density S,() of the noise m)? 1s this noise white or colored? 3) (10 points) Plot H,. s,0) and H,n. Determine the bandwidth of the modulating signal W and the camer frequency . 4) (20 points) Find the power N of the noise at the output of BPF 5) (5 points) Write n() in terms of in phase and quadrature components 6) (20 points) Find the power spectral density of in phase and quadrature components 7) (10 points) Given that the value of modulation index is 1/2 show that the output of BPF filter is given by 8) (5 points) What is the power S of this signal at the output of BPF? 9) (10 points) According to pet.7) is this analog communication system a) DSB SC b) DSB c)SSB d) VSB c)FM fPM? 10) (20 points) Write the expression of the signal v(t) and determine the signal at the output of LPF. Is the same with modulation signal m(t)? Why? Extra credits points 1) (5 points) What can you say about a) the bandwidth efficiency of this system, b) the power efficiency of this system, c) the easy of implementation of this system? 12) (10 points) Assuming the modulating signal of the form m(tejscos(2 random process with the ) (a random variable uniform distributed between-r,z) calculate the autocorrelation function and the power of random message m(t,d) 13) (5 points) Is this process stationary? Why? the demodulation process, a locally generated carrier cd)=2cos(2is used before the a low pass filter with transfer function H2000 1) (4o points) By writing the equation of the signal (), is this system a) AM, b)FM, c)PM d) coherent, 2) (20 points) What is the power spectral density S,() of the noise m)? 1s this noise white or colored? 3) (10 points) Plot H,. s,0) and H,n. Determine the bandwidth of the modulating signal W and the camer frequency . 4) (20 points) Find the power N of the noise at the output of BPF 5) (5 points) Write n() in terms of in phase and quadrature components 6) (20 points) Find the power spectral density of in phase and quadrature components 7) (10 points) Given that the value of modulation index is 1/2 show that the output of BPF filter is given by 8) (5 points) What is the power S of this signal at the output of BPF? 9) (10 points) According to pet.7) is this analog communication system a) DSB SC b) DSB c)SSB d) VSB c)FM fPM? 10) (20 points) Write the expression of the signal v(t) and determine the signal at the output of LPF. Is the same with modulation signal m(t)? Why? Extra credits points 1) (5 points) What can you say about a) the bandwidth efficiency of this system, b) the power efficiency of this system, c) the easy of implementation of this system? 12) (10 points) Assuming the modulating signal of the form m(tejscos(2 random process with the ) (a random variable uniform distributed between-r,z) calculate the autocorrelation function and the power of random message m(t,d) 13) (5 points) Is this process stationary? Why