**Example 6.12** Find the *z*-transform and its ROC of the following sequence:

**Solution**

The ** z**-transform

Therefore, *X*(*z*) will be finite if and only if *z* is not equal to 0 or ∞. Its ROC is given by 0 < |*z*| < ∞.

**Example 6.13** Find the *z*-transform of the following sequences:

*x*(*n*) =*nα*^{n − 1}*u*(*n*)*x*(*n*) =*u*(*n*) −*u*(*n*− 4)*x*(*n*) =*n*[*u*(*n*) −*u*(*n*− 4)]

**Solution**

- We know that
Differentiating both sides ...

Start Free Trial

No credit card required