I am newer to signal processing math and just figured out something cool (hopefully). I was trying to see how the DTFT of the delta function is 1, because thats what my book says. I could only find youtube tutorials that didnt really explain it mathmatically, so i tried to do it on my own. Is my process correct? See pic.


-Dom enter image description here

  • $\begingroup$ That's correct. For any sequence $f[n]$ you have $\delta[n-k]f[n]=\delta[n-k]f[k]$, so the sum $\sum_n\delta[n-k]f[n]$ always equals $f[k]$. $\endgroup$ – Matt L. Jul 10 '20 at 6:18

You are absolutely correct. For more cool, calculate the DTFT of $\delta \left(n - k \right)$.


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