Inverse z-transform using partial fraction

1. How do you find the inverse Z-transform by long division?
2. What is Z-transform and inverse Z-transform?

How do you find the inverse Z-transform by long division?

Long Division Method to Calculate Inverse Z-Transform

As the determination of the inverse Z-transform of X(z) is only the determination of sequence x(n), i.e., if x(n) is causal then x(0),x(1),x(2),... or if x(n) is anti-causal,thenx(0), x(−1),x(−2),...

What is Z-transform and inverse Z-transform?

Z-Transform is basically a discrete time counterpart of Laplace Transform. Z-transform of a general discrete time signal is expressed in the equation-1 above. The range of values of 'Z' for which above equation is defined gives ROC (Reason of Convergence) of Z-transform.