**Derivation of Z-Transform:-**

If is the given sequence then it’s Discrete Time Fourier Transform is .

i.e,

.

DTFT of .

DTFT of .

.

Let a complex-variable.

. is the Z-Transform of a sequence .

**Inverse Z-Transform:-**

The inverse DTFT of is .

.

.

. Let and .

– represents the inverse Z-Transform.

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