Inverse $\mathcal Z$-transform problem

1. How do you solve inverse Z-transform?
2. What is Z-transform and inverse Z-transform?
3. What is the formula for Z-transform?

How do you solve inverse Z-transform?

Long Division Method

X(z)=x(0)+x(1)Z−1+x(2)Z−2+......... The above sequence represents the series of inverse Z-transform of the given signal forn≥0 and the above system is causal. However for n<0 the series can be written as; x(z)=x(−1)Z1+x(−2)Z2+x(−3)Z3+.........

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.

What is the formula for Z-transform?

Concept of Z-Transform and Inverse Z-Transform

X(Z)|z=ejω=F. T[x(n)].