# Fourier transform same as signal.

1. Nov 25, 2009

### bhupala

Hi friends,

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

$$\frac{1}{\sqrt{2\pi}}e^{-\frac{t^2}{2}}\longrightarrow e^{-\frac{\omega^2}{2}}$$

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

can you suggest any other signals which satisfy the property?

regards,
bhupala.

2. Nov 25, 2009

### skeptic2

A pulse in the shape of a gaussian curve?

3. Nov 25, 2009

### bhupala

That is what I have given as the first example.

4. Nov 27, 2009

### Redbelly98

Staff Emeritus
Interesting question. What is your application?