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Fourier transform same as signal.

  1. Nov 25, 2009 #1
    Hi friends,

    I was looking for signals which will have themselves as the Fourier transform. Few of them are given below.

    [tex]
    \frac{1}{\sqrt{2\pi}}e^{-\frac{t^2}{2}}\longrightarrow e^{-\frac{\omega^2}{2}}
    [/tex]

    [tex]
    \sum_{k=-\infty}^{\infty}\delta(t-kT)\longrightarrow \frac{2\pi}{T}\sum_{n=-\infty}^{\infty}\delta(\omega-\frac{2\pi n}{T})
    [/tex]

    can you suggest any other signals which satisfy the property?

    regards,
    bhupala.
     
  2. jcsd
  3. Nov 25, 2009 #2
    A pulse in the shape of a gaussian curve?
     
  4. Nov 25, 2009 #3
    That is what I have given as the first example.
     
  5. Nov 27, 2009 #4

    Redbelly98

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    Interesting question. What is your application?
     
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