Line 9: Line 9:
 
<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>
 
----
 
----
More about the Discrete Fourier Transform
+
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]]
 +
 +
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.

Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva