(Solved): Please post an original solution. Thank you! a) Compute the Laplace transform of the phase error 0e ...

Please post an original solution. Thank you!

a) Compute the Laplace transform of the phase error 0e(t) corresponding to the PLL that is characterized by the following equation: dee(t) doi(t) - KaKy(t)* f(t) dt dt = Express Oe(s) in function of Oi(s) and the other system parameters. b) Using the Laplace transform and the final value theorem, find an expression for the steady-state phase error, lim e(t), for this PLL. Show that lim 6.(t) = lim 0 (t). 0 t +00 t-00 t? Hint: The Laplace transform of a derivative is: dx(t) L A sX(s) dt The final value theorem is lim x(t) = lim sX(s), when the limit exists. = 50 t+00