Z-transform

Doubt of intersection of ROC Z Transform

Doubt of intersection of ROC Z Transform
  1. What is the significance of ROC in Z-transform?
  2. What is the ROC of the Z-transform of the signal?
  3. What will be the ROC of Z-transform of the discrete?

What is the significance of ROC in Z-transform?

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

What is the ROC of the Z-transform of the signal?

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.

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

That is, for a stable discrete time LTI system, ROC of H(z) must contain the unit circle |z|=1. 13. The ROC of z-transform of any signal cannot contain poles. Explanation: Since the value of z-transform tends to infinity, the ROC of the z-transform does not contain poles.

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