Table 16.4-2 Conversion Between z, y, h and ABCD Parameters
[z][y][ABCD][h]
[z]
[y]
[ABCD]
[h]
hh
hh
1112
2122
⎡
⎣
⎢
⎤
⎦
⎥
D
B
ADBC
D
D
C
D
−
−
⎡
⎣
⎢
⎢
⎢
⎤
⎦
⎥
⎥
⎥
1
1
1
11
12
21
y
y
yy
−
Δ
⎡
⎣
⎢
⎤
⎦
⎥
1
1
22
12
21
z
zz
z
Δ
−
⎡
⎣
⎢
⎤
⎦
⎥
1
1
21
11
22
h
hh
h
−Δ−
−−
⎡
⎣
⎢
⎤
⎦
⎥
AB
CD
⎡
⎣
⎢
⎤
⎦
⎥
1
1
21
22
11
y
y
yy
−−
Δ−
⎡
⎣
⎢
⎤
⎦
⎥
1
1
21
11
22
z
zz
z
Δ
⎡
⎣
⎢
⎤
⎦
⎥
1
1
11
12
21
h
h
hh
−
−Δ
⎡
⎣
⎢
⎤
⎦
⎥
D
B
ADBC
B
B
A
B
−
−
−
⎡
⎣
⎢
⎢
⎢
⎤
⎦
⎥
⎥
⎥
1
yy
yy
1112
2122
⎡
⎣
⎢
⎤
⎦
⎥
1
2212
2111
Δ
−
−
⎡
⎣
⎢
⎤
⎦
⎥
z
zz
zz
1
1
22
12
21
h
hh
h
Δ
−
⎡
⎣
⎢
⎤
⎦
⎥
A
C
ADBC
C
C
D
C
−
⎡
⎣
⎢
⎢
⎢
⎤
⎦
⎥
⎥
⎥
1
1
2212
2111
Δ
−
−
⎡
⎣
⎢
⎤
⎦
⎥
y
yy
yy
zz
zz
1112
2122
⎡
⎣
⎢
⎤
⎦
⎥
698
16TWO-PORT NETWORKS AND PASSIVE FILTERS
All these parameter sets describe the same two-port network port-variables.
Therefore, the various parameter sets must be inter-related. The conversion equations
between various parameter ...
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