The poles corresponding to the Laplace transform X(s)of a signal x(t) are p 1,2 = 3 ±jÏ/2 and p 3 =0. (a) Within some constants,

The poles corresponding to the Laplace transform X(s)of a signal x(t) are p_1,2 = ˆ’3 ±jÏ€/2 and p₃=0.

(a) Within some constants, give a general form of the signal x(t).

(b) Let

from the location of the poles, obtain a general form for x(t). Use MATLAB to find x(t)and to plot it. How well did you guess the answer?

X(s) = (s +3 – ja/2)(s+3+jn/2)s