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Property 2: The ROC does not contain any poles. | Property 2: The ROC does not contain any poles. | ||
| − | Property 3: If x[n] is of finite duration then the ROC is the entire z-plane except possibly z=0 and z=<math> | + | Property 3: If x[n] is of finite duration then the ROC is the entire z-plane except possibly z=0 and z=<math> \_inf </math> |
Revision as of 14:56, 30 November 2008
Properties of the region of convergence for Z-transform
A number of properties are listed in the oppenheim willsky textbook. These properties state the insights of the z-transforms region of convergence.
Property 1: The ROC of X(z) consists of a ring in the z-plane centered about the origin.
Property 2: The ROC does not contain any poles.
Property 3: If x[n] is of finite duration then the ROC is the entire z-plane except possibly z=0 and z=$ \_inf $
