Inverse

Inverse z transform - contour integration

Inverse z transform - contour integration
  1. What is the inverse transform of the Z-transform?
  2. How does the ROC help to find out inverse Z-transform?
  3. What are the different methods available for inverse Z-transform?

What is the inverse transform of the Z-transform?

The Inverse Z-Transform

(4) represents the integration around the circle of radius |z|=r in the counter clockwise direction. This is the direct method of finding inverse Z-transform. The direct method is quite tedious.

How does the ROC help to find out inverse Z-transform?

Inverse Z Transform

Region of Convergence (ROC) The ROC determines the region on the Z Plane where the Z Transform converges. The ROC depends solely on the 'r' value that is contained in 'z'.

What are the different methods available for inverse Z-transform?

There are at least 4 different methods to do this: Inspection. Partial-Fraction Expansion. Power Series Expansion.

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