Function whose Fourier transform is Dirac delta

1. Aug 16, 2014

papernuke1

Is there a time domain function whose Fourier transform is the Dirac delta with no harmonics? I.e. a single frequency impulse

2. Aug 16, 2014

johnqwertyful

Couldn't you just take the inverse Fourier transform?

3. Aug 16, 2014

Shayan.J

4. Aug 16, 2014

papernuke1

Oh! I did that and it's it's a constant function, thanks

5. Aug 16, 2014

johnqwertyful

Not really. The inverse Fourier transform of the delta function is 1. The Fourier transform of 1 is the delta function. Everything is fine. :)

6. Aug 16, 2014

Yup!