Utente:WK~itwiki

Tabella delle più comuni trasformate-Z

	Segnale, $x(n)$	Z-trasformata, $X(z)$	RdC
1	"impulso"$\delta (n)\,$	$1\,$	$\forall z\in \mathbb {C}$
2	$u(n)\,$	${\frac {1}{1-z^{-1}}}$	$|z|>1\,$
3	$a^{n}u(n)\,$	${\frac {1}{1-az^{-1}}}$	$|z|>|a|\,$
4	$na^{n}u(n)\,$	${\frac {az^{-1}}{(1-az^{-1})^{2}}}$	$|z|>|a|\,$
5	$-a^{n}u(-n-1)\,$	${\frac {1}{1-az^{-1}}}$	$|z|<|a|\,$
6	$-na^{n}u(-n-1)\,$	${\frac {az^{-1}}{(1-az^{-1})^{2}}}$	$|z|<|a|\,$
7	$\cos(\omega _{0}n)u(n)\,$	${\frac {1-z^{-1}\cos(\omega _{0})}{1-2z^{-1}\cos(\omega _{0})+z^{-2}}}$	$|z|>1\,$
8	$\sin(\omega _{0}n)u(n)\,$	${\frac {z^{-1}\sin(\omega _{0})}{1-2z^{-1}\cos(\omega _{0})+z^{-2}}}$	$|z|>1\,$
9	$a^{n}\cos(\omega _{0}n)u(n)\,$	${\frac {1-az^{-1}\cos(\omega _{0})}{1-2az^{-1}\cos(\omega _{0})+a^{2}z^{-2}}}$	$|z|>|a|\,$
10	$a^{n}\sin(\omega _{0}n)u(n)\,$	${\frac {az^{-1}\sin(\omega _{0})}{1-2az^{-1}\cos(\omega _{0})+a^{2}z^{-2}}}$	$|z|>|a|\,$