2. then design the LF components Ri. R2,and C to produce and plot with Matlab the following step responses by the PLL a. overdamped, b. underdamped, c. critically damped; 3. calculate the phase step response's following parameters: a. b. c. d. rise time T peak time Tp (if applicable) percent overshoot %OS(if applicable) settling time T, c) calculate the steady state phase error lim0e(t) for both PLL types, and draw conclusions whether your PLL can track the: i. incoming signal's frequency ii. incoming signal's phase what does its value (a,s) depend on? d) Design the LF so that the 2nd order PLL has an underdamped step response with the following characteristic parameter values: a. natural frequency wn 100 rads/s b, the damping ratio ζ=1/2 c. estimate the following: i, rise time Tr = ? ii. peak time T iii. percent overshoot %OS! iv. settling time T,? v. poles 1. specify the new poles which would double the frequency of oscillation but would keep the envelope the same; what is the new value? c) By inspecting the PLL. step response shown in Figure I below: a. characterize which order PLL produces this kind of step response? b. estimate the i. pole(s) of the PLL closed loop Th. ii. rise time Tr, and iii. settling time Ts iv. phase detector gain Kpd and VCO gain K 2. then design the LF components Ri. R2,and C to produce and plot with Matlab the following step responses by the PLL a. overdamped, b. underdamped, c. critically damped; 3. calculate the phase step response's following parameters: a. b. c. d. rise time T peak time Tp (if applicable) percent overshoot %OS(if applicable) settling time T, c) calculate the steady state phase error lim0e(t) for both PLL types, and draw conclusions whether your PLL can track the: i. incoming signal's frequency ii. incoming signal's phase what does its value (a,s) depend on? d) Design the LF so that the 2nd order PLL has an underdamped step response with the following characteristic parameter values: a. natural frequency wn 100 rads/s b, the damping ratio ζ=1/2 c. estimate the following: i, rise time Tr = ? ii. peak time T iii. percent overshoot %OS! iv. settling time T,? v. poles 1. specify the new poles which would double the frequency of oscillation but would keep the envelope the same; what is the new value? c) By inspecting the PLL. step response shown in Figure I below: a. characterize which order PLL produces this kind of step response? b. estimate the i. pole(s) of the PLL closed loop Th. ii. rise time Tr, and iii. settling time Ts iv. phase detector gain Kpd and VCO gain K