# How is it possible to find the Fourier transform of unit impulse function?

Since Fourier transforms are applicable to only periodic functions, and unit impulse function{..0,0,1,0,0..} doesn't seem periodic, is this possible?

Is it like we are considering unit impulse function to be periodic in the range $(-\infty,+\infty)$?

• The Fourier series is only applicable to periodic functions. The Fourier transform is applicable to absolute integrable functions. – Deve Oct 5 '13 at 8:30
• And then in what sense, does the function transform from time domain to frequency domain? – Sam Oct 5 '13 at 10:22
• I'm just realizing that you wrote unit impulse. Does that mean that you're asking about the discrete Fourier transform? – Deve Oct 5 '13 at 12:46
• Frequency domain representation does not necessarily have to represent anything periodic. Perhaps you are surprised that periodic basis functions are capable of such. – hotpaw2 Oct 5 '13 at 16:23