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Signals and Systems by Smarajit Ghosh

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7.6 CONVOLUTION THEOREM IN z-TRANSFORM

If image and image Then image

We can prove that image

Proof:

Let us consider one-sided sequence x1(n) having zw–transform X1(z) i.e.,

 

image

 

Similarly,

 

 

Therefore,

 

 

Let us collect the information of x3(n) for getting the ...

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