
(c) The signal and noise components of the command input r(t) are s(t) ¼1, t 0 and n(t) ¼
5 10
3
sin(2 10
6
t), t 0. Find the filter output
^
r(t) at steady state.
(d) Find G(z), the z-domain transfer function of the discrete-time system approximation to
G(s) using explicit Euler integration. Leave your answer in terms of the integration step
size T .
(e) Comment on the choice of T necessary to simulate the filter response by recursive solution
of the difference equation corresponding to G(z).
4.74 A method for approximating a continuous-time system with transfer function G (s) is illus-
trated in Figure E4.74. A continuous-time input u(t) is sampled ...