Z-Transform vs Inverse Z-Transform-Difference between Z-Transform and Inverse Z-Transform
This page on Z-Transform vs Inverse Z-Transform describes basic difference between Z-Transform and Inverse Z-Transform.
Z-Transform is basically a discrete time counterpart of Laplace Transform. Z-transform of a general discrete time signal is expressed in the equation-1 above. The range of values of 'Z' for which above equation is defined gives ROC (Reason of Convergence) of Z-transform.
ROC is the region of range of values for which the summation
Properties of ROC:
• ROC of X(z) consists of a ring in the Z-plane centered around the origin.
• ROC does not contain any pole.
Properties of Z-Transform
Following are the properties of Z-transform.
The equation for inverse Z-transform is expressed above. Here integration symbol denotes integration around a counter clockwise circular contour at the origin with radius 'a'.
Following table mentions common Z-transform pairs for useful functions.
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