Introduction

The inverse Z-Transform is given by :

\(x\left(n\right)=Z^{-1}\left\{X\left(z\right)\right\}=\frac{1}{2\pi i}\oint_{C}{X\left(z\right)Z^{n-1}dz}\)

Where C is a closed path travelled anticlockwise entirely within the convergence domain.

Various methods exist for performing the inverse transform, including the residue theorem. We will mention the simplest one in this course.