Question: The transfer function of a LTI system is (a) Use the Laplace transform to find the unit-step response s(t) = (h x) (t). (b) Find

The transfer function of a LTI system is

H(s) (s+ 1)' + 1 +1

(a) Use the Laplace transform to find the unit-step response s(t) = (h ˆ— x) (t).

(b) Find the response due to the following inputs

(i) x1(t) = u(t) ˆ’ u(t ˆ’ 1), (ii) x2(t) = δ(t) ˆ’ δ(t ˆ’ 1), (iii) x3(t) = r(t)

H(s) (s+ 1)' + 1 +1

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