topology

1. Some topology calculations
UC Source: Berkeley

2. D
out
in
S
m
D
G
v
R
R
R
R
R
R
g
R
R
R
R
R
R
A
=
=
+
−

+
=
2
1
2
1
2
1
||
1
||
||
0
=

Common Source Stage

3. ( )
S
O
m
O
D
out R
r
g
r
R
R +

0


Common Source Stage

4. 0


0
=

Common Drain (Source Follower) Stage
S
m
S
v
R
g
R
A
+
=
1 G
in R
R =
S
m
out R
g
R ||
1
=
S
o
m
out
G
in
S
O
m
S
O
v
R
r
g
R
R
R
R
r
g
R
r
A
||
||
1
||
1
||
=
=
+
=

5. ( )
S
O
m
O
D
out R
r
g
r
R
R +

0


0
=

( )
( ) D
m
G
m
S
m
S
v R
g
R
g
R
g
R
A 
+
=
/
1
||
/
1
||
S
m
in R
g
R
1

S
m
in R
g
R
1

Common Gate Stage

6. Common Source Stage
1
2
3
3
1
2
3
3
1
||
||
||
1
||
||
||
1
O
O
O
m
out
O
O
O
m
m
v
r
r
r
g
R
r
r
r
g
g
A
=








−
=

7. Common Source Stage
= 3
3
1
2
||
1
1
O
m
m
O
v
r
g
g
r
A
+
−
=

8. Composite Stage
=>
1
2
1
1
m
m
D
v
g
g
R
A
+
=

9. PMOS Cascode Stage
=>
( )
2
1
1
1
2
1
1
1
O
O
m
out
O
O
O
m
out
r
r
g
R
r
r
r
g
R

+
+
=

10. NMOS Cascode Stage
=>
( )
2
1
1
1
2
1
1
1
O
O
m
out
O
O
O
m
out
r
r
g
R
r
r
r
g
R

+
+
=