(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
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'''Definition'''
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DFT
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<math>X(k) = \sum^N-1_n=0{x(n)*exp(-j2pikn/N) dn } k = 0, 1, 2, ..., N-1</math>
  
* DFT <math>X(k) = \sum{x(n)*exp(-j2pikn/N) dn } k = 0, 1, 2, ..., N-1</math>
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Inverse DFT (IDFT)  
* Inverse DFT (IDFT) <math>x[n] = (1/N)\sum{X(k)*exp(j2pikn/N) dk } n = 0, 1, 2, ..., N-1</math>
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<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 17:20, 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 $

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