Inversion of the z Transform Partial Fraction Expansion

The partial fraction expansion approach for inverting z-transforms applies to rational z-transforms.

The partial fraction expansion approach for inverting z-transforms involves factoring the denominator polynomial into a product of first-order polynomials.

The partial fraction expansion approach for inverting z-transforms can be used to find the inverse z-transform of transcendental $X(z)$ such as $X(z) = \sin(2z)$.

The partial fraction expansion approach for inverting z-transforms applies only to right-sided signals.

The partial fraction expansion approach for inverting z-transforms is based on writing $X(z)$ as a sum of simple terms whose inverse z-transforms are known.

The partial fraction expansion approach for inverting z-transforms requires knowledge of the region of convergence (or equivalent information) to determine whether the inverse of each term is right sided or left sided.