Function whose Fourier transform is Dirac delta

papernuke1
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Is there a time domain function whose Fourier transform is the Dirac delta with no harmonics? I.e. a single frequency impulse
 
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Couldn't you just take the inverse Fourier transform?
 
johnqwertyful said:
Couldn't you just take the inverse Fourier transform?

Oh! I did that and it's it's a constant function, thanks
 
Shyan said:
That will be the chicken-egg problem!

Not really. The inverse Fourier transform of the delta function is 1. The Fourier transform of 1 is the delta function. Everything is fine. :)
 
papernuke1 said:
Oh! I did that and it's it's a constant function, thanks

Yup!
 

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