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) | z-k |
| 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) |