Fourier transform same as signal.

**bhupala** · Nov25-09, 01:23 AM

Hi friends,

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

$LaTeX Code: <BR>\\frac{1}{\\sqrt{2\\pi}}e^{-\\frac{t^2}{2}}\\longrightarrow e^{-\\frac{\\omega^2}{2}}<BR>$

$LaTeX Code: <BR>\\sum_{k=-\\infty}^{\\infty}\\delta(t-kT)\\longrightarrow \\frac{2\\pi}{T}\\sum_{n=-\\infty}^{\\infty}\\delta(\\omega-\\frac{2\\pi n}{T})<BR>$

can you suggest any other signals which satisfy the property?

regards,
bhupala.

**skeptic2** · Nov25-09, 09:31 AM

A pulse in the shape of a gaussian curve?

**bhupala** · Nov25-09, 11:18 AM

That is what I have given as the first example.

**Redbelly98** · Nov27-09, 08:14 PM

Originally Posted by bhupala

Hi friends,

I was looking for signals which will have themselves as the Fourier transform.
.
.
.
... can you suggest any other signals which satisfy the property?

regards,
bhupala.

Interesting question. What is your application?