Region of Convergence

The z-transform is a powerful mathematical tool used in the analysis of discrete-time signals and systems. It is a crucial tool in the analysis of discrete-time systems, but its convergence is limited to specific values of the complex variable z. This range of values, known as the Region of Convergence (ROC), is fundamental in determini...

The z-transform converges only for certain values of z. This range of values is known as the Region of Convergence (ROC), which is essential for determining the behavior and stability of the system or signal.

It specifies the region in the complex plane where the z-transform converges.

The ROC can take different forms, like within ...