| Line 7: | Line 7: | ||
DFT | DFT | ||
| − | + | <math>X(k) = \sum{x(n)exp(-j2pikn/N) dn }^N-1_n=0 k = 0, 1, 2, ..., N-1</math> | |
Inverse DFT (IDFT) | 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 17:22, 18 September 2009
DFT ( Discrete Fourier Transform )
Definition
DFT $ X(k) = \sum{x(n)exp(-j2pikn/N) dn }^N-1_n=0 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 $
