23
The z-transform
In Chapters 20–22, we studied the Laplace transform for continuous-time signals (input functions). The z-transform is the finite or discrete-time version of the Laplace transform. This transform is useful for solving initial-value problems whose continuous analogs are treated by Laplace transform. It has many properties in common with the Laplace transform. We know that continuous-time systems are described by differential equations whereas discrete-time systems are described by difference equations. So we use z-transform to solve difference equations that are approximations to the differential equations of the initial-value problems treated by Laplace transform. So, we shall consider discrete-time signals f [n] (also denoted ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Read now
Unlock full access