Inverse Z Transform Z反变换
Long Division Method长除法
Partial Fraction Expansion
部分因式展开
H
Homework:
p223: 6.7
p224:6.16
Inverse Z Transform Z反变换
Definition定义

Computation
Methods求解方法
1. Eye Matching观察法
X(z) |
1 |

|

|

|
x[n] |
d
[n] |
u [n] |
bn
u[n] |
n u[n] |
Page 188: Example
6.23
2. Impulse Function
Method冲激函数法
Knowing:
Z-1{ z -k } =
d
[
n-k ]
Goal: |
 |
3. Step Function Method阶跃函数法
Knowing:
|
 |
Goal: |
 |
Long Division Method长除法
Standard Form标准型

Numerator分子and Denominator分母
are not always of same order,
because it is often that M≠N
.
Long
Division长除法
How many denominators分母
are there
in the
numerator分子.
Goal: |
 |
P189 eg.6.25
Partial Fraction Expansion
部分因式分解
For given
|
 |
Let |
 |
Thus from {ak , bk
,
fn(β),
gn(α,
β)},
α and
β
are solvable可解.
Skills are more helpful!
P193 eg.6.28
|