Inverse z transform of a constant

1. What is the inverse Z-transform of 1?
2. What is Z-transform of a constant?
3. What is the time inverse property of Z-transform?
4. Which is the method of defining inverse of Z-transform?

What is the inverse Z-transform of 1?

Z transform has summation limits from -infinity to + infinity. x[n] =1 is not absolutely summable. Hence Z transform doesnt exist.

What is Z-transform of a constant?

In mathematics and signal processing, the Z-transform converts a discrete-time signal, which is a sequence of real or complex numbers, into a complex frequency-domain (z-domain or z-plane) representation. It can be considered as a discrete-time equivalent of the Laplace transform (s-domain).

What is the time inverse property of Z-transform?

4) Time reversal Property

It means that if the sequence is folded it is equivalent to replacing z by z-1 in z domain.

Which is the method of defining inverse of Z-transform?

Inverse Z Transform by Partial Fraction Expansion

This technique uses Partial Fraction Expansion to split up a complicated fraction into forms that are in the Z Transform table. If you are unfamiliar with partial fractions, here is an explanation.