Inverse z transform of 1 z-1 3

1. What is the inverse Z-transform of 1 z?
2. How do you find the inverse Z-transform?
3. What is Z-transform and inverse Z-transform?

What is the inverse Z-transform of 1 z?

The Z-transform of a sequence an is defined as A(z)=∑∞n=−∞anz−n. In your case, A(z)=1/z=z−1, so this must mean an=0 for all n≠1, and a1=1. We don't need any fancy computations in this example, we just read off the one nonzero coefficient directly from A.

How do you find the inverse Z-transform?

The Inverse Z-Transform

The integration given in the eq. (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.

What is 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.