Normalized DFT Power Theorem
Note that the power theorem would be more elegant if the DFT were defined as the coefficient of projection onto the normalized DFT sinusoids
![$\displaystyle \tilde{s}_k(n) \isdef \frac{s_k(n)}{\sqrt{N}}.
$](http://www.dsprelated.com/josimages_new/mdft/img1423.png)
![$\displaystyle \left<x,y\right> = \langle \tilde{X},\tilde{Y}\rangle$](http://www.dsprelated.com/josimages_new/mdft/img1424.png)
![$\displaystyle . \protect$](http://www.dsprelated.com/josimages_new/mdft/img860.png)
![$ x$](http://www.dsprelated.com/josimages_new/mdft/img25.png)
![$ \tilde{X}$](http://www.dsprelated.com/josimages_new/mdft/img1425.png)
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