Analog Integrated Circuit Design | ECE 6412, Assignments of Electrical and Electronics Engineering

Material Type: Assignment; Class: Analog Integ Circuit Dgn; Subject: Electrical & Computer Engr; University: Georgia Institute of Technology-Main Campus; Term: Spring 2006;

Typology: Assignments

Pre 2010

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ECE 6412 - Spring 2006 Page 1
Homework Assignment No. 11 Solutions
Problem 1 โ€“ (10 points)
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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

V V V V

I

V V V V V

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

= = = ร— =

ร— โŽ

3

'

1

1 3

n

o o

w k L

r K r K

โŽช โŽ›^ โŽž

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

+ + ร—

= ร— =

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

R

C s v v v

R R

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 V

v V

w mA w

L

โˆ’

โŽ› โŽž ร—

โŽ โŽ  ร—^ โˆ’ 4

0

2

2 2 4

tp t

gs

L

V V V

v V

w mA w

L ฮผ L

= ร— =

โŽ› โŽž ร— โŽ› โŽž

โ‡’ โŽœ โŽŸ = = โŽœ โŽŸ = ร— =

โŽ โŽ  ร—^ โˆ’ โŽ โŽ