Signals and Systems

11.7 RELATIONSHIP BETWEEN DFT AND z-TRANSFORM

Let us develop the relationship between the DFT and z-transform. The z-transform of a discrete time sequence of finite duration is given by

 

 

Let us consider a finite duration sequence x(n), 0 ≤ n ≤ N−1.

The above equation reduces to

 

 

DFT of x(n) is given by

 

 

Let us put in Eq. (11.90), we ...