(New page: Category:ECE438Fall2009mboutin == DFT ( Discrete Fourier Transform ) == Definition * DFT <math>X(k) = \sum{x(n)*exp(-j2pikn/N) dn } k = 0, 1, 2, ..., N-1</math> * Inverse DFT (IDFT...) |
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− | Definition | + | '''Definition''' |
+ | DFT | ||
+ | <math>X(k) = \sum^N-1_n=0{x(n)*exp(-j2pikn/N) dn } k = 0, 1, 2, ..., N-1</math> | ||
− | + | Inverse DFT (IDFT) | |
− | + | <math>x[n] = (1/N)\sum^N-1_k=0{X(k)*exp(j2pikn/N) dk } n = 0, 1, 2, ..., N-1</math> |
Revision as of 16:20, 18 September 2009
DFT ( Discrete Fourier Transform )
Definition DFT $ X(k) = \sum^N-1_n=0{x(n)*exp(-j2pikn/N) dn } k = 0, 1, 2, ..., N-1 $
Inverse DFT (IDFT) $ x[n] = (1/N)\sum^N-1_k=0{X(k)*exp(j2pikn/N) dk } n = 0, 1, 2, ..., N-1 $