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Function whose Fourier transform is Dirac delta

  1. Aug 16, 2014 #1
    Is there a time domain function whose Fourier transform is the Dirac delta with no harmonics? I.e. a single frequency impulse
     
  2. jcsd
  3. Aug 16, 2014 #2
    Couldn't you just take the inverse Fourier transform?
     
  4. Aug 16, 2014 #3

    ShayanJ

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    Gold Member

  5. Aug 16, 2014 #4
    Oh! I did that and it's it's a constant function, thanks
     
  6. Aug 16, 2014 #5
    Not really. The inverse Fourier transform of the delta function is 1. The Fourier transform of 1 is the delta function. Everything is fine. :)
     
  7. Aug 16, 2014 #6
    Yup!
     
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