z变换表

z变换表

X（s）
x(t)或x(k) X(z) 1 1 δ(t) 1 2 e
-kTs

δ(t-kT)

3 1/s 1(t) z/(z-1) 4 1/s2 t Tz/(z-1)2 5 1/(s+a) e

-at

Tz/(z-eaT) 6 a/(s+a) 1-e

-at

(1-eaT)z/[(z-1)(z-eaT)] 7 ω/(s2+ω2) sinωt zsinωT/(z2-2zcosωT+1) 8 s/(s2+ω2) cosωt
z(z-cosωt)/(z2-2zcosωT+1) 9 1/(s+a)2 Te-at

TzeaT/(z-eaT)2 10 ω/[(s+a)2+ω2] e-atsinωt zeaTsinωT/(z2-2ze-aTcosωt+e-2aT) 11 (s+a)/[(s+a)2+ω2] e-atcosωt
(z2-zeaTcosωT)/(z2-2ze-aTcosωt+e-2aT) 12 1/s2 t2 T2z(z+1)/(z-1)2 13 ak

z/(z-a) 14 akcoskπ z/(z+a)