Z-transform

Definition · applies to sequences

Undergraduate

The Z-transform of a sequence $x[0], x[1], x[2], \dots$ is

\[X(z) = \sum_{n=0}^{\infty} x[n] z^{-n},\]

for the complex numbers $z$ where the series converges. It is the discrete-time analog of the Laplace transform.

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