Editing Z-transform (section)

=== Starred transform ===
{{Main|Starred transform}}
Given a one-sided Z-transform <math>X(z)</math> of a time-sampled function, the corresponding '''starred transform''' produces a Laplace transform and restores the dependence on <math>T</math> (the sampling parameter):
:<math>\bigg. X^*(s) = X(z)\bigg|_{\displaystyle z = e^{sT}}</math>

The inverse Laplace transform is a mathematical abstraction known as an ''impulse-sampled'' function.