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Material Type: Assignment; Class: Analog Integ Circuit Dgn; Subject: Electrical & Computer Engr; University: Georgia Institute of Technology-Main Campus; Term: Spring 2006;
Typology: Assignments
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ECE 6412 - Spring 2006 Page 1
Homework Assignment No. 11 Solutions
Problem 1 โ (10 points)
Problem 2 โ (10 points)
Common mode half circuit:
1 2 3
3 '
1 2
1 1 3
' ' 1
'
3
' '
3 3
o o DD GS
D GS TP ov TP
p
o o
dm m o o
m n D n ov
p D ov
p p
w k L
V V V
a g r r K where
w w g k I k v mS L L
w k I L v w w k k L L
3
'
1
1 3
n
o o
w k L
r K r K
1 1 1 5 3 1 5 3
3
5
m cm o m o o m o m
m
o
g a r g r r g r g m K
g mS
r K
where
Because of adding the 20Kresistors, the adm becomes smaller but acm becomes much
smaller. The effective impedance of M 3 and M 4 is now 1/gm, which is much smaller than
roร adm/acm=1538 which is much higher than 100 in 12.4.
Problem 3 โ (10 points)
Without Ccs:
1 1 2
1
1 2
1 1
cs
cms ov ov
cs cs
ov ov oc
cms cs cms oc cs cs cs cs
C s v v v
C s
v v v
v R a v R R R C s R^ C s
Problem 5 โ (10 points)
3 1
6 2
' '
(^6) '
(^3) '
0
1
2 1
o DD ds gs
o DD ds gs
n n ox p p ox
ov n
ov p
tn t
gs
v v v v
v v v v
k C k C
v V k
v V k
v V
w mA w
โ
0
2
2 2 4
tp t
gs
v V
w mA w