How we can find ROC(Region of convergence) given a signal in z domain?

1. How do you find the ROC of z-transform?
2. How do you find the region of convergence?
3. What do you mean by region of convergence in z-transform?

How do you find the ROC of z-transform?

For x(n)=δ(n), i.e., impulse sequence is the only sequence whose ROC of Z-transform is the entire z-plane. If x(n) is an infinite duration causal sequence, then its ROC is |z|>a, i.e., it is the exterior of a circle of the radius equal to a.

How do you find the region of convergence?

Perhaps the best way to look at the region of convergence is to view it in the s-plane. What we observe is that for a single pole, the region of convergence lies to the right of it for causal signals and to the left for anti-causal signals.

What do you mean by region of convergence in z-transform?

The region of convergence (ROC) is the set of points in the complex plane for which the Z-transform summation converges.