ECE 3150 Lab 4 3/26/2010
T
HE
MOS D
IFFERENTIAL
P
AIR
1
Objectives
In this lab, you will examine the current–voltage characteristics of a MOS
differential pair
, which is
widely used as an input stage in operational amplifiers and in many other types of circuits as well. This
venerable circuit has a relatively large response to a change in the difference between its two input
voltages, but a relatively small response to a change in the average value of its two input voltages. Like
the cascode amplifier, it has its origin in the days of the vacuum tube. It can be traced back to Fig. 3 of
British Patent Specification 482,740 filed by A. D. Blumlein on July 4, 1936. In 2001, the differential pair
was informally voted as the top analog circuit of all time in a topten list of analog circuits at the
International SolidState Circuits Conference
during an evening panel discussion.
2
Prelab
The following prelab questions have been constructed to help you prepare to do the lab efficiently. Unless
otherwise stated, you should assume that like transistors are matched. Consider the circuit shown in
Fig. 1a, comprising three
n
MOS transistors. The sources of
M
1
and
M
2
, which are called the
differential
pair transistors
, are connected together at node
V
. The third transistor,
M
b
, which is called the
bias
transistor
, is supposed to sink a constant bias current,
I
b
, from node
V
. The gate voltages of
M
1
and
M
2
are
the inputs to this circuit and the currents
I
1
and
I
2
are its outputs. For a circuit like the differential pair, we
often express each of the two input voltages,
V
1
and
V
2
, in terms of a
commonmode
input voltage,
V
cm
=(V
1
+V
2
)/2
, and a
differentialmode
input voltage,
V
dm
=(V
1

V
2
)/2
. Analogously, we also often express
the two output currents,
I
1
and
I
2
, in terms of a commonmode output current,
I
cm
=(I
1
+I
2
)/2
, and a
differentialmode output current,
I
dm
=(I
1
I
2
)/2
.
1. Suppose that
M,
M
2
and
M
3
are well matched, that
V
out1
and
V
out2
are high enough to keep all
transistors in saturation, and that the Early effect is negligible. If
V
1
=V
2
=V
cm
, what is the
relationship that holds among
I
1
,
I
2
and
I
b
?
2. Use
V
Dsat
= V
GS
– V
th
to find an expression for the commonsource node voltage,
V
, in terms of
V
b
and
V
1
=V
2
=V
cm
, that is valid for all transistors above threshold. If we would like
M
b
to operate in
saturation, what is the minimum allowable value of
V
cm
?
For the value of
V
cm
above this minimum,
what is the minimum allowable value for
V
out1
and
V
out2
if
M
1
and
M
2
are to remain in saturation?
3. Suppose that