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Signals and Systems by Smarajit Ghosh

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6.9 z-TRANSFORM OF UNIT STEP SEQUENCE

The unit step sequence can be represented by

 

image

 

The z-transform of x(n) = anu(n) is given by

 

image

 

If a = 1, X(z) becomes

 

image

 

The ROC is | z | > 1 shown in Fig. 6.5

 

Roc

 

Fig. 6.5 ROC

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