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Signals and Systems - Engineering

Q1:

For the function u(t - a) = 0 for t < a and u(t - a) = 1 fort ≥ a, the Laplace transform is

A

B

C

D

ANS:B -

£f(t) = £-1F(s) = f(t) £[a f1(t) + bf2(t)] = aF1(s) + bF2(s) where £[f(t - T)] = e-sT F(s) £[e-at f(t)] = F(s + a) Initial value theorem Final value theroem Convolution Integral where t is dummy variable for t.