Same z transformed function, but different answers of inverse z transform?

1. What are the different methods of evaluating inverse Z-transform?
2. What are the limitations of Z-transform?
3. What is the inverse transform of the Z-transform?
4. How do you find Z-transform and inverse Z-transform?

What are the different methods of evaluating inverse Z-transform?

There are at least 4 different methods to do this: Inspection. Partial-Fraction Expansion. Power Series Expansion.

What are the limitations of Z-transform?

Limitations – The primary limitation of the Z-transform is that using Z-transform, the frequency domain response cannot be obtained and cannot be plotted.

What is the inverse transform of the Z-transform?

The Inverse Z-Transform

(4) represents the integration around the circle of radius |z|=r in the counter clockwise direction. This is the direct method of finding inverse Z-transform. The direct method is quite tedious.

How do you find Z-transform and 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+.........