Signals and Systems - Engineering

Q1:

If Laplace transform of f(t) is F(s), then £ f(t - au (t - a)= 0

A eas F(s)

B e-as F(s)

Ceas F(s)

De -as F(s)

ANS:B - e-as F(s)

£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.