Module 9 : Numerical Relaying II : DSP Perspective

Lecture 33 : Discrete Fourier Transform

33.1

Motivation (contd..)

 

Now,

  where
 

AS is integer, then

   
 

Note that we have used the following geometric series expression

 

Thus, RHS in (6) is equal to
We see that equation (6) defines the inverse transformation if we choose ;
Thus, N-point DFT and IDFT for samples are defined as follows.

  where m = 0, ........., N - 1
   
6