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Aug 21, 2014 at 12:13 comment added David Although Notation 4 isn't quite the normal, you can relate it to the other definitions by letting $m=-n$ and then rewriting the equation. Essentially it swaps what are normally the time domain and the frequency domain. You can also show that the DFT(DFT(x(n)))=x(-n). That is, if you take the DFT of the DFT you end up with a time reversed sequence.
Aug 20, 2014 at 18:15 history edited robert bristow-johnson CC BY-SA 3.0
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Aug 20, 2014 at 18:10 history answered robert bristow-johnson CC BY-SA 3.0