(New page: = Discrete Fourier Transform = Definition: let x[n] be a discrete-time signal with Period N. Then the Discrete Fourier Transform X[k] of x[n] is the discrete-time signal defined by <mat...) |
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Latest revision as of 14:35, 8 October 2010
Discrete Fourier Transform
Definition: let x[n] be a discrete-time signal with Period N. Then the Discrete Fourier Transform X[k] of x[n] is the discrete-time signal defined by
$ X [k] = \sum_{k=0}^{N-1} x[n].e^{-J.2pi.kn/N}. $
Conversely, the Inverse Discrete Fourier transform is
$ x [n] = (1/N) \sum_{k=0}^{N-1} X[k].e^{J.2pi.kn/N} $
More about the Discrete Fourier Transform
