ROC of transfer function

1. How do you find the ROC of a transfer function?
2. What is meant by ROC in Z-transform?
3. What is ROC of Z-transform and Laplace transform?
4. What is ROC of a system?

How do you find the ROC of a transfer function?

If x(t) is absolutely integral and it is of finite duration, then ROC is entire s-plane. If x(t) is a right sided sequence then ROC : Res > σ_o. If x(t) is a left sided sequence then ROC : Res < σ_o. If x(t) is a two sided sequence then ROC is the combination of two regions.

What is meant by ROC in Z-transform?

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

What is ROC of Z-transform and Laplace transform?

Region of Convergence (ROC) of 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 is ROC of a system?

The set of all values of z where X(z) converges to a finite value is called as Radius of Convergence (ROC).