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Discussion :: Signals and Systems

  1. If function f(t) has an initial value f(0-) at t = 0-, the Laplace transform of is

    2. A.
    sF(s) - f(0-)
    B.
    sF(s) + f(0-)
    C.
    s2F(s) - f(0-)
    D.
    s2F(s) + f(0-)

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    Answer : Option A

    Explanation :

    £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.

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