Assignment:
A linear time-invariant continuous-time system has the impulse response below: h(t) =[cos 2t + 4 sin 2t]u(t)
(a). Determine the transfer function H(s) of the system.
(b). Plot the system impulse response using MATLAB.
(c). The input, x(t) is defined as x(t) = 5/7e^-t – 12/7e^-8t for x ≥0. Find X(s).
(d). Compute the output response Y(s).
(e). Compute and plot (using Matlab) y(t).