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<math> x [n] = (1/N) \sum_{k=0}^{N-1} X[k].e^{J.2pi.kn/N}</math>
 
<math> x [n] = (1/N) \sum_{k=0}^{N-1} X[k].e^{J.2pi.kn/N}</math>
 
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More about the Discrete Fourier Transform
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Some pages discussing or using Discrete Fourier Transform
 
*[[Student_summary_Discrete_Fourier_transform_ECE438F09|A summary page about the DFT written by a student]]
 
*[[Student_summary_Discrete_Fourier_transform_ECE438F09|A summary page about the DFT written by a student]]
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Click [[:Category:discrete Fourier transform|here]] to view all the pages in the [[:Category:discrete Fourier transform|discrete Fourier transform]] category.

Revision as of 06:52, 23 September 2011

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} $


Some pages discussing or using Discrete Fourier Transform

Click here to view all the pages in the discrete Fourier transform category.

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