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Discussion :: Signals and Systems

  1. The Fourier transform of u(t) is B(jω) & the laplace transform of u(t ) is A(s), then which of the following equation is satisfied
    2. A.

    B(jω) = A(s)|s=jω

    B.
    A(s) = 1/s but B(jω) ≠ 1/jω
    C.
    A(s) ≠ 1/s but B(jω) = 1/jω
    D.
    A(s) ≠ 1/s but B(jω) ≠ 1/jω

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    Answer : Option B

    Explanation :

    Laplace Transform of u(t)

    U(t) àA(s) = 1/s

    Fourier Transform of u(t)

    U(t) à B(jω) =( 1/jω) + π δ(ω)

    Therefore A(s) = 1/s but B(jω) ≠ 1/jω  is satisfied.

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