Cho x ( n ) có Z T [ x ( n ) ] = X ( Z ) thì:

$ZT\left[x\left(n-n{}_0\right)\right]=Z{}^{n{}_{0}X\left(Z\right)}$

$ZT\left[x\left(n-n{}_0\right)\right]=Z{}^{-n{}_{0}X\left(Z\right)}$

$ZT\left[x\left(n-n{}_0\right)\right]=Z{}^{-n{}_0}X\left(Z-1\right)$

$ZT\left[x\left(n-n{}_0\right)\right]=Z{}^{n{}_0}X\left(Z-1\right)$