Translations:Z-transform/29/en

Table 2. Common signals and their geophysical Z-transforms.

Signal name	Signal	z-transform	Convergence region
Unit impulse	${\delta }_{n}=1$ for $t=0$ ${\delta }_{n}=0$ otherwise	1	Everywhere
Delayed impulse	${\delta }_{n-k}$ for fixed k > 0	$z^{k}$	$|z|\;>0$
Unit causal step	$u_{n}=0\;{\text{for}}\;k<0$