Table of Z-Transform Pairs
|
Continuous-time Function f(t) for t > 0 |
Sample values f(nT) for n ³ 0 |
Z-Transform of f(nT) |
|
1. |
|
1 |
|
2. u(t) (unit step) |
u[nT] |
|
|
3. e-at |
e-anT = (e-aT)n = Kn |
|
|
4. t |
nT |
|
|
5. t e-at |
nT e-anT |
|
|
6. sin(bt) |
sin(bnT) |
|
|
7. cos(bt) |
cos(bnT) |
|
|
8. e-at sin(bt) |
e-anT sin(bnT) |
|
|
9. e-at cos(bt) |
e-anT cos(bnT) |
|
| A/D Conversion:
Ideal Sampling: Frequency Model: Quantizing: MSE = S2/12 Z-transform:
Phase Variables (same form for Continuous and Discrete!!):
|
Discrete State Variables:
Model: First Order Euler: Preferred Method: Solution: State Feedback Control:
|
FIR Filter Design:
where 
Other Formulas:
