Signals and Systems - Engineering

Q1:

If f1 (t) and f2 (f) are two functions of time and a andb are constants, then

A L [af1(t) + bf2(t)] = aF1(s) + bF2(s)

B L [af1(t) + bf2(t)] = aF1(s) - bF2(s)

C L [af1(t) + bf2(t)] =[aF1(s)]/[bF2(s]

D None of the above

ANS:A - L [af1(t) + bf2(t)] = aF1(s) + bF2(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.