Z-transform

How to find roc of z-transform

How to find roc of z-transform
  1. What is the ROC of the z-transform of the?
  2. How do you calculate ROC on a signal?

What is the ROC of the z-transform of the?

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.

How do you calculate ROC on a signal?

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 > σo. If x(t) is a left sided sequence then ROC : Res < σo. If x(t) is a two sided sequence then ROC is the combination of two regions.

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