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Discussion :: Signals and Systems

  1. The Inverse Fourier Transform of u(ω) is
  2. A.
    (1/2) δ(t) + 1/πt
    B.

    ( ½)  Î´(t)

    C.
    2 δ(t) + 1/πt
    D.
    δ(t) +sgn(t)

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    Answer : Option A

    Explanation :

    x(t) = u(t) ßà X(jω) =( π δ(ω)/ J ω ) + 1

    Duality Property: X(jt) ÃŸÃ  2Ï€ x(-ω)

    U(ω) ßà (½) δ(t) + 1/Ï€t


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