Roc of z-transform

The ROC of the Z-transform is a ring or disc in the z-plane centred at the origin. The ROC of the Z-transform cannot contain any poles. The ROC of Z-transform of an LTI stable system contains the unit circle. The ROC of Z-transform must be connected region.

1. What is ROC and its properties?
2. What is the z-transform and ROC of causal signal?
3. What is the physical significance of ROC in z-transform?
4. What will be the ROC of z-transform of the discrete?

What is ROC and its properties?

Properties of ROC of Laplace Transform

ROC contains strip lines parallel to jω axis in s-plane. 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.

What is the z-transform and ROC of causal signal?

Z -Transform for Causal System

Causal system can be defined as h(n)=0,n<0. For causal system, ROC will be outside the circle in Z-plane. H(Z)=∞∑n=0h(n)Z−n. Expanding the above equation, H(Z)=h(0)+h(1)Z−1+h(2)Z−2+.........

What is the physical significance of ROC in z-transform?

Significance of ROC: ROC gives an idea about values of z for which Z-transform can be calculated. ROC can be used to determine causality of the system. ROC can be used to determine stability of the system.

What will be the ROC of z-transform of the discrete?

1 Answer. Easiest explanation: One part of the equation is the right sided signal and other part is the left sided signal hence the ROC of the system will be 1/3>|z|<1/2.