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

$ZT\left[a{}^{n}x\left(n\right)\right]=-X\left(\frac{z}{a}\right)$

$ZT\left[a{}^{n}x\left(n\right)\right]=X\left(\frac{z}{a}\right)$

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

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