1
1
bvDè0y?" ù?
2,°
@.
{+? wL
c u ν
I
<V
GS(th)1
 T
1
?? T
2
?Y i
D1
= i
D2
= 0 A→A′?
d u V
GS(th)1
<ν
I
<V
I1
 T
1
?Y T
2
?Y i
D1
= i
D2
> 0(l ) A′→B?
e u V
I1
<ν
I
<V
I2
 T
1
# T
2
?Y ( u ) B→D
f u ν
I
>V
I2
 T
1
?Y ( VMèE u ) T
2
?Y D→N
A
B
0
i
D1
v
DS1
D
V
GSQ1
N
V
GSQ2
-v
DS2
i
D2
V
CC
V
SDQ2V
DSQ1
Q
v
O
A
V
DD
B
0 D
v
I
A′
1
3
4
V
GS(th)1
V
I1
V
I2
2
T
2
T
1
v
1
v
0
7
%%
7
(
? ?c -3.2 -3.2.4 'bv?íè
^
2
bvDè0y?" ù?
??bvè
^.
{+?￥1?
? ?c -3.2 -3.2.4 'bv?íè
^


  
&%
&&
$.04
W

7
W

7
2
3
bvDè0y?" ù?
4,
÷ -
EFbvè
^
Cascode
(1) è
^?
T
(2) ?
+?
èa9m A
V
A
V
=A
V1
A
V2
≈-g
m1
[r
ds3
//( 1/ g
mb3
)]
{èE R
o
R
o
≈ r
ds3
//(1/g
mb3
)
(3) è
^￥?é
? ?c -3.2 -3.2.4 'bv?íè
^
V
DD
V
0
V
G
T
1
T
2
T
3
T
4
4
bvDè0y?" ù?
3.3 MOS5è
@÷
I
D
i
D
v
DS
Q
i
D
0
v
GS
=0
I
DSS
dsO
rR =
-
{?é??r?
DSSD
II ≈
Fv
l !
l !
? ?c
3.3.1{D??5è
@÷ (2? )
z íèE?
3
5
bvDè0y?" ù?
z 1
3
êa?
I
D
R
(a)
+
_
V
gs

g
m
V
gs

I

I

V

R
+
_
r
ds
(b)
()
()
DGS
offGSGS
P
D
RIV
VV
L
WK
I
=
≈
2
2
á
,
{D?a
2?
{D?a
2?
R￥vl
?? I
D
￥vl
?? I
D
( ) ( )
dsmdsmO
rRgrRgRR +≈++= 11
v !
v !
? ?c -3.3 MOS5è
@÷
3.3.1{D??5è
@÷ (2? )
?
I
rVgIRI
I
V
R
dsgsm
O
&
&&&
&
&
)(?+
==
ds
gsm
r
I
Vg
R

++=
&
&
)(
1
6
bvDè0y?" ù?
3.3.2 MOS'è
@÷
I
R
T
1
T
2
R
r I
0
()
()()
11
2
11
1
1
1
1
2
DSthGSGS
p
RD
VVV
L
W
k
II /+==
()
()()
22
2
22
2
2
2
1
2
DSthGSGS
p
OD
VVV
L
W
k
II /+==
( )
()
111
222
1)/(
1)/(
DS
DS
R
O
VLW
VLW
I
I
/
/
+
+
=
T
1
aT
2
yT u
? ?
?
V
GS(th)
aλM?
? ?c -3.3 MOS5è
@÷
4
7
bvDè0y?" ù?
? ?c -3.3 MOS5è
@÷
I
R
T
1
T
2
R
r I
0
()
111
222
1)/(
1)/(
DS
DS
R
O
VLW
VLW
I
I
/
/
+
+
=
-
{?é??r
? O W
2
/L
2
=W
1
/L
1
5 I
O
=I
R
----?^è
@÷
-
{?é??r
? O
2
/L
2 1
/L
1
5 I
O
=I
R
----?^è
@÷
W
2
/L
2
≠ W
1
/L
1
5
----1 èè
@÷
2
/L
2
≠
1
/L
1
5
----1 èè
@÷
RO
I
LW
LW
I
)/(
)/(
11
22
=
λ≠0 V
DS1
≠ V
DS2
5
----è
@±lμY
0 V
DS1
≠ V
DS2
5
----è
@±lμY
R
DS
DS
O
I
V
V/
I
)1(
)1(
1
2
/+
+
=
2
2
2
2
2
1
D
DS
D
DSA
dsO
I/
V/
I
VV
rR
+
=
+
==
I
R
￥á
3 R
r
----μ÷μ
I
R
￥á
3 R
r
----μ÷μ
8
bvDè0y?" ù?
3.3.3 ˉ:àè
@÷
T
1
T
2
T
3
I
0I
R
R
O
≈ g
m1
r
ds1
r
ds3
Hq g
m2
>> g
ds2
,
g
m1
r
ds1
>> 1,
g
m1
= g
m2
= g
m3
v
v
T
1
1¤ T
4

P V
DS1
=V
DS2

h"?é?
?r?
T
1
1¤ T
4

P V
DS1
=V
DS2

h"?é?
?r?
? ?c -3.3 MOS5è
@÷
G
3
D
3
S
3 G1,G2 D
2
S
1,
S
2
V
gs3
V
gs1
V
ds1 V
ds2
V
ds3
g
m1
V
gs1
g
m3
V
gs3 g
mb3
V
bs3
r
ds2
r
ds1
r
ds3
1/g
m2
V
D
1
5
9
bvDè0y?" ù?
3.4 MOSμsbvè
^
μ
?H
?rè
^
T
3
v
i1
v
o
V
DD
T
4
v
i2
T
1
T
2
T
5
V
G
-V
SS
I
SST
3
v
i1
v
o
V
DD
T
1
'
L1mVD
RgA?= ( )r//rg
1ds1m
=
=
3ds
3mb3m
1ds1m
r//
g
1
//
g
1
//rg
3m
1m
g
g
≈
? ?c
? E/E ? NMOS μb
10
bvDè0y?" ù?
? ?c -3.4 MOSμsbvè
^

?H?rè
^
T
3
v
i1
v
o
V
DD
T
4
v
i2
T
1
T
2
T
5
V
G
-V
SS
I
SS
g
mb1
V
bs
1
G
+
-
+
-
V
bs1
v
i
V
gs1
g
m1
V
gs1
R
D
R
S
D
B
R
D
v
i1
R
V
DD
T
1
v
O
5
3
2
1
ds
m
D
rR
g
R
=
≈
6
11
bvDè0y?" ù?
? ?c -3.4 MOSμsbvè
^

?H?rè
^
T
3
v
i1
v
o
V
DD
T
4
v
i2
T
1
T
2
T
5
V
G
-V
SS
I
SS
bsi1gs
VvV +=
g
mb1
V
bs
1
G
+
-
+
-
V
bs1
v
i
V
gs1
g
m1
V
gs1
R
D
R
S
D
B
R
V
VgVg
1bs
1gs1m1bs1mb
=+
D
bs
O
R
R
V
v =
R
D
v
i1
R
V
DD
T
1
v
O
5
3
2
1
ds
m
D
rR
g
R
=
≈
Rg)1(1
Rg
A
1m1
D1m
1VC
η++
=
5ds1m1
3m1m
r2g)1(1
g/g
++
=
η
m
mb
g
g
=η
12
bvDè0y?" ù?
? ?c -3.4 MOSμsbvè
^
]?1
T
3
v
i1
v
o
V
D
D
T
4
v
i2
T
1
T
2
T
5
V
G
-V
SS
I
SS
511
31
1
2)1(1
/
dsm
mm
VC
rg
gg
A
η++
=
)
2)1(1
/
/()
2
(
511
31
3
1
1
1
dsm
mm
m
m
VC
VD
CMR
rg
gg
g
g
A
A
K
++
==
η
3
1
m
m
VD
g
g
A?≈
3
1
1
2
m
m
VD
g
g
A?≈
]2)1(1[
2
1
511 dsm
rg?++?= η
7
13
bvDè0y?" ù?
? E/D ? NMOS μb
μ

3mb
1mVD
g
1
gA=

Rg)1(1
Rg
A
1m1
D1m
1VC
η++
=
5ds1m1
3mb
1m
r2g)1(1
g
1
g
++
=
η
3m
1m
3
g
g1
η
=
V
DD
T
3
v
i1
v
o
T
4
v
i2
T
1
T
2
T
5
V
G
-V
SS
I
SS
? ?c -3.4 MOSμsbvè
^
14
bvDè0y?" ù?
? CMOSμb
v
ID
i
OD
I
SS
-I
SS
O
()
()
2
thGS1GS
p
1D
Vv
L
W
2
k
i=
()
()
2
thGS2GS
p
2D
Vv
L
W
2
k
i=
K? u
s??
1,°
@.
{+?
2121 GSGSIIID
vvvvv?=?=
SS2D1D
Iii =+
2
ID
p
SS
IDp
2D1DOD
2
ID
p
SS
IDp
SS
2D
2
ID
p
SS
IDp
SS
1D
v
Wk
LI4
L2
vWk
iii
v
Wk
LI4
L4
vWk
2
I
i
v
Wk
LI4
L4
vWk
2
I
i
=?=
=
+=
Wk
LI
p
SS
2
Wk
LI
p
SS
2
L?
{ ?
S?v
? ?c -3.4 MOSμsbvè
^ V
DD
i
OD
v
0
v
12
v
11
-V
SS
I
SS
T
1
T
2
T
3
T
4
C
1
8
15
bvDè0y?" ù?
2?
+?
V
DD
i
OD
v
0
v
12
v
11
-V
SS
I
SS
T
1
T
2
T
3
T
4
C
1
-
{ λ
H
()
2i1i1m
1i1m1d2d1dod
1i1m2i2m2d
1i1m1d
vvg
vg2i2iii
vgvgi
vgi
=
==?=
==
=
()
2ds4dsO
2ds4ds1m
id
O
VD
2ds4ds
'
L
r//rR
r//rg
v
v
A
r//rR
=
==
=
MOSμb+?
R
id
v
{ ?è
@l
{ ?L?S?v
>?èava9m?
μb+?
R
id
v
{ ?è
@l
{ ?L?S?v
>?èava9m?
? ?c -3.4 MOSμsbvè
^
)()//(2
1
42 nLdsds
H
CCrr
f
+?
≈
π
16
bvDè0y?" ù?
3.5 CMOS
{)
o?
{)
V
DD
-V
SS
v
0
T
2
T
1
T
3
T
4
T
5
v
1
V
G
T
6
V
GS3
+V
GS4
=V
GS1
+V
GS2
R
O
l
A
V
<1
V
om
l
V
om
=V
DD
-V
DS6
-V
GS1
1,CD
P CMOS
{)
? ?c
9
17
bvDè0y?" ù?
2,CS
÷ CMOS
{)
V
DD
-V
SS
v
0
v
1
T
3
T
2
T
1
I
0
°
@
V
GS1
=V
G3
-V
DD
V
GS2
=V
S3
+V
SS
V
S3
=V
G3
-V
GS3
?

v
I
↑
v
GS1
↑
v
GS2
↑
v
O
↓
i
D2
↑
i
D1
↓
v
I
↓
v
O
↑
èabv
?
S?v
{èEv{
μ
?μK
? ?c -3.4 MOSμsbvè
^
18
bvDè0y?" ù?
3.6

E 71
? ?c
?
I
1
^

E 71
------
s eè0 71
? 1 p
> R
ON
→ 0 v
o
≈ v
I
1 R
off
→∞ v
o
≈ 0
? F?
BJT
 y
MOSFETe?a R
ON
l

R
off
v
10
19
bvDè0y?" ù?
3.6.1 ?Y? MOS 71
v
O
V
G
v
I
1,yTe ?
? V
G
=V
GH
H v
GS
=V
GH
-v
I
> V
GS(th)
T?Y v
DS
≈ 0,v
O
≈ v
I
? V
G
=V
GL
H v
GS
=V
GL
-v
I
< V
GS(th),
T?? i
D
≈ 0,v
O
≈ 0
+?
? V
GL
-V
GS(th)
< v
I
< V
GH
-V
GS(th)
----N
? R
on
D v
I
μ1
v
I
↑→v
GS
↓→R
on
↑
o
a°
@èEú￥μμ
>?b
? DaS VoD
_ 71
+?
? V
GL
-V
GS(th)
< v
I
< V
GH
-V
GS(th)
----N
? R
on
D v
I
μ1
v
I
v
GS
R
on
↑
o
a°
@èEú￥μμ
>?b
? DaS VoD
_ 71
? ?c -3.6

E 71