Normalized DTFT Basis
The Discrete Time Fourier Transform (DTFT) is similar to the Fourier transform case:
![$\displaystyle \varphi _\omega (n) \isdef e^{j\omega n}/\sqrt{2\pi},\quad \omega \in (-\pi,\pi], \quad n\in (-\infty,\infty)$](http://www.dsprelated.com/josimages_new/sasp2/img2317.png) |
(12.114) |
The inner product
and reconstruction of 
in
terms of
are left as exercises.
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Normalized STFT Basis
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Normalized Fourier Transform Basis
