You may be asking what is the need to know Z-transform. What is Z-transform, anyway? Before we define it, let us know its use. Z-transform is very useful in the analysis of discrete-time signals and systems. We will see later that it is extremely powerful in the design of digital filters. It tells us everything about an LTI discrete-time system – its stability, its frequency response, the filter structure, etc. Therefore, it is a must for us to know what Z-transform is. By the way, Z-transform plays a similar role for the discrete-time signals and systems as does Laplace transform for the continuous-time counterparts.
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