Consider the pulse x(t) = u(t) u(t 1). Find the zeros and poles of X(s)and plot them.
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(a) Suppose x(t)is the input of a LTI system with a transfer function H(s) = Y(s)/X(s) = 1/(s2 + 4Ï2), find and plot the poles and zeros of Y(s) = L[y(t)]), where y(t)is the output of the system.
(b) If the transfer function of the LTI system is
and the input is the above signal x(t), compute the output z(t).
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