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Signals and Systems by Smarajit Ghosh

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6.6 FINITE LENGTH SEQUENCE

Find the z-transform of the following finite length sequence:

 

image

 

Solution

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

 

image

 

Let us put x(n) in the above equation.

 

image

 

We know that

 

image

 

Using this result, we can write the above expression as follows:

 

 

This z-transform will be converged if has finite value i.e.,

The ...

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