Z transform and convergence domain [duplicate]

1. What is Convergence in Z transform?
2. What is region of Convergence ROC in Z transform?
3. What are the disadvantages of Z transform?

What is Convergence in Z transform?

The region of convergence, known as the ROC, is important to understand because it defines the region where the z-transform exists. The z-transform of a sequence is defined as. X(z)=∞∑n=−∞x[n]z−n. The ROC for a given x[n], is defined as the range of z for which the z-transform converges.

What is region of Convergence ROC in Z transform?

The set of points in z-plane for which the Z-transform of a discrete-time sequence x(n), i.e., X(z) converges is called the region of convergence (ROC) of X(z).

What are the disadvantages 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.