modem_3_ HW

modem_3_ HW - EE-655 HW Problem 1 Write a Matlab script to...

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EE-655 HW Problem 1. Write a Matlab script to simulate the phase lock loop shown below. In this problem the input signal to the pll is a sinewave at frequency f1 for N samples then at f2 for N samples. ∆φ i φ i (n) j (n) φ i j (n) δφ δφ (n) ∆φ ο (n) j (n) φ ο φ ο (n) z -1 z -1 z -1 DDS ATAN DDS K P K i Loop Filter Phase Accumulator Phase Accumulator e e e * exp(j--) exp(j--) Use theta_0=2*pi/100; eta=sqrt(2)/2 for loop filter. Let dphi_i= 0.05 for n=1:100 and 0.1 for n=101:200; Generate figures a. Time series of two phase profiles, phi_1, and phi_2 on same plot; use two colors b. Time series of del_phi and Time series of dphi_o on two subplots c. Time series of real parts of exp(j*2*pi*phi_i) and real parts of exp(j*2*pi*phi_o) 2. Write a Matlab script to simulate the phase lock loop shown below. In this problem the input signal to the pll is a phase rotated and then a phase rotating QPSK modulated time series. ∆φ i φ i (n) j (n) φ i j (n) δφ δφ (n) ∆φ ο (n) j (n) φ ο φ ο (n) z -1 z -1 z -1

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