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7. (20 points) The loop filter of the second-order digital PLL shown below is given by F(2) The DPLL is called two-poles. Ass

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Loop filter TA 1-2- VCO (a) closed-loop transfer function Haz) Solna be Ezid Fiz efx2) H2) = FZ) b 2-1 1-74 1 F(2)- bz- Z-a 1b) Impulse response hin) and plot hins Hiz) 0.15 (2-1 2-0.1) (2-0.5) 0,1560.3) 0.15(0.5) 0.2 + (0.2) 2-0,7) (Z-0.5) H2) = -0.step response hoch) and plot hiin H2) = 0,15(2-1 (2-0.7) (2-0.5 X Z Hs(2)= Hee) x Z Z-1 Hs(z) = 0,15(24) -0.7)(z-0.5) 24 Hs (pesponse Ho(z) = H2.2 diune how and plot hon Ho(2) (241) 0.15(BA) 2 R-0.7) 6-0.5) (21) Ho (Z) = 0,152 2-0,7) -0.5) (2-1 (2411.75 1.2.2 1.Ιοι ΣΣΟΙ 1 0.994 O 1. 2 Σ 4 6 le(e) steady for ramp respons state enor essa lim (1-2-1) 1 [(4-7 R(2)] 2+1 1+GHz) 1+ GHZ) = 1 + 0,15 x 7 Z-0.2 (2-1) ll (Z-1 Z

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