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Fourier transform of hat function

  1. May 19, 2009 #1
    1. The problem statement, all variables and given/known data
    obtaining the fourier transform of the hat function
    h(x) = 1 if modulus of x</= 1
    =0 otherwise


    2. Relevant equations
    F(k)=1/sqrt(2*PI) *integral from -1 to 1 of exp(ikx)


    3. The attempt at a solution
    I've carried through the transform and got an answer of
    sqrt(2/PI)*sinc(k)
    could someone tell me if this is correct please?
     
  2. jcsd
  3. May 19, 2009 #2

    tiny-tim

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    Hi captainjack2000! :smile:

    (have a pi: π and a ≤ and a √ and an ∫ and try using the X2 tag just above the Reply box :wink:)

    Yes, that looks good … see http://en.wikipedia.org/wiki/Rectangular_function :wink:
     
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