Georgia Institute of...

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Georgia Institute of Technology Department of Electrical and Computer Engineering Exam 3 ECE-4430 Fall 2007 Friday, November 30, 2007 Duration: SOmin Og l(j T First name O(7T/(W\y Last name Og lj T ) (W( ID number This is a close-book, close-note exam. You can use a standard engineering calculator (if needed). You can have three 2-sided sheets of equations and notes. Show your work for partial credits. Remember to write you name on each page. Please consider the following honor pledge. "I have neither given nor received any unauthorized assistance on this exam." Signature

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Page 1: Georgia Institute of Technologymgh-courses.ece.gatech.edu/ece4430/Exams/Exam3_Solutions_4430F07… · Georgia Institute of Technology Department of Electrical and Computer Engineering

Georgia Institute of TechnologyDepartment of Electrical and Computer Engineering

Exam 3

ECE-4430 Fall 2007

Friday, November 30, 2007 Duration: SOmin

Og l(j TFirst name O ( 7 T / ( W \ y Last name Og lj T ) (W(

ID number

This is a close-book, close-note exam. You can use a standard engineering calculator (ifneeded). You can have three 2-sided sheets of equations and notes.

Show your work for partial credits. Remember to write you name on each page.

Please consider the following honor pledge. "I have neither given nor received anyunauthorized assistance on this exam."

Signature

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First name Last name

Problem #1: Multiple Choice Questions

For the questions below, assume the following parameters: (Vdd = 2.5V, UT = 25mV)

MOSFET:BJT:

Ith' = 500nA, K' = 200|aA/V2, VT = 0.5V, and VA = 25V, K = 1, Io' = IfA(3 = 100, VA = 25V, Is = IfA, BJT has a typical asymmetric doping

V2H

4|aA

W/L= 1

1

Device-1

(all devices in saturation)1. Device 1 Transconductance

GND

a.(£} l/25kQc. l/12.5kOd. l/6.25kQe. None of the Above

2. Device 1 Vds(sat)a. 400mV V.b. 300mV

(jx> 200mVd. lOOmVe. None of the Above

3. Device 1 V2

a. 0.81V Vfl ib. 0.74V ' a

c. 0.68Vd. 0.64V

(e^\ None of the Above4. Device 1 Output Resistance

a. 25MQ „ \b. 12.5MQ

(2) 6.25MQd. 1.6M^e. None of the Above

,I

1

W/L= 16

GNDDevice-2

4 .

5. Device 2 Transconductancea. l/50kQb. l/25kQ

l/12.5kDl/6.25kQNone of the Above

6. Device 2 Vds(sat)a. 200mV ^

150mVlOOmV50mVNone of the Above

7. Device 2 V 3

a. 0.60V

c.

e.

b.

d.e.

W

b.0

d.e.

* a

0.54V0.48V0.42VNone of the Above

8. Device 2 Max Gain (magnitude)0 1000 Ab. 500c. 250d. 125e. None of the Above

/£700

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v

16JJA

out

V:in

GND

Circuit-1 Circuit-3

b.c.

Output voltage is biased at 1.5V.

9. Circuit 1 Input Resistance ..a. 6.25MQ Rj,, i jjj = -^ •

3.13MQ 3i

6.25kQ3.13kQNone of the Above

10. Circuit 2 Gain (magnitude)a. 1000

500250125None of the Above

11. Circuit 3 Gain (magnitude)a. 1000

c. 250 - <J*' ̂ 'd. 125e. None of the Above

12. Circuit 1 Gaina. -1000b. 1000c. -500

©500 ,e. None of the Above - T

e.

b.

d.e.

13. Circuit 1 Output Resistancea. 6.25MQ vo J ,yb. 3.13MQ Ko"*"- a

12.5kQ6.25kQNone of the Above

~^s^f

14. Circuit 2 Output Resistancea. 6.25MQ /^. y^ -

3.13MQ1.56MQ0.78MQNone of the Above

c.d.

fe^

b.

d.e.

I

15. Circuit 3 Output Resistancea. 6.25MQ

@3.13MDc. 12.5kQd. 6.25kQe. None of the Above

ft

- 3.

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Problem #2: Circuit Analysis

n̂ , i

Answer the following questions regarding the above schematic. Assume all transistors are biasedabove threshold and need to be kept in saturation for the circuit to operate properly.

The CMOS fabrication process parameters are:

unCox=100nA/V2 UpCox = 40 |aA/V2 VTn = 0.7 V VTp = 0.9 V VDS(sat) * 100 mV

Also in terms of size, assume: M9 = Mio = M13 = Mi4, M5 = M? = M)5, and MH = Mi2

Finally the nominal value for VDD = 3 V \!r$_

(a) What is the overall function of this circuit?

OL. ^tf-eS'(MC&' Gen.

.(b) What is the role of branches A-F? (only I sentence each)

A: ef-<

D:E:

. P.

0.7

4$ I)

. (A,)(At)

(c) If the resistors in the schematic are small, what is the minimum VDD for this circuit? Whichbranch is going to limit the VDD? \JpK Ifcf

VEB * °- 7 ̂ Vss l f t^ VTn^ \/D , - i -^(%w ] s Q.7+

OL|"

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T"' (d) Estimate the input common mode range (ICMR) of stage D.

^ (e) For Vref = 1.26 V at room temperature, find the output swing range of stage D.29 g (f) Find the size of transistors in stage D to achieve the following specifications:

Total power consumption of the entire circuit at no load (RL = oo) less than 300 uW, Avd forstage D > 200, bandwidth of stage D > 150 kHz if d = 1 pF (ignoring all parasitic capacitors),and slew rate > 10 V/u,s.

}£ 3 (g) What would you do to increase the gain of stage D?

3 (h) What would you do to reduce the noise of stage D?

3 (i) What would you do to increase the gain of stage E?

3 (j) What would you do to increase the ICMR of stage D?

3 (k) If stage D was supposed to amplify a small signal near the GND level, how would youchange the topology of stage D?

3 (1) Considering all of the above information, if RL = 100 Q, what is Vout?

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choice

7? /

U-

5;

/S /

105

25

- 1 00

33.4

C.t =

/X. * d*hrp*<r, fv_S \v\fai~ /t&w&d n^'Je ckc^cM^S<^, 4kese W& &b I0£b3^f 7> ^dc^e W w'le X^/^7^ cfvfftt-l

T

f • f

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