# Function whose Fourier transform is Dirac delta

1. ### papernuke1

2
Is there a time domain function whose Fourier transform is the Dirac delta with no harmonics? I.e. a single frequency impulse

2. ### johnqwertyful

391
Couldn't you just take the inverse Fourier transform?

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4. ### papernuke1

2
Oh! I did that and it's it's a constant function, thanks

5. ### johnqwertyful

391
Not really. The inverse Fourier transform of the delta function is 1. The Fourier transform of 1 is the delta function. Everything is fine. :)

391
Yup!