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Signals and Systems by Smarajit Ghosh

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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

 

image

 

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

The above equation reduces to

 

image

 

DFT of x(n) is given by

 

image

 

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

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