The impulse response of an LTI is h(t) = r(t) 2r(t 1) + r(t 2) and the

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The impulse response of an LTI is h(t) = r(t) ˆ’ 2r(t ˆ’ 1) + r(t ˆ’ 2) and the input is a sequence of impulses

x()Σδ(ί - T) k=0

(a) Find the system output y(t)as the convolution integral of x(t) and h(t), and plot it for T = 1 and T = 2.

(b) For T = 2 obtain the Laplace transform Y(s) of y(t).

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