Hardware Reference
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V 0
I B3
X
I out
Z
Y
I B2
I B1
Y
V 1
V 2
Y
+
Z
Z
X
X
Fig. 9.15 Active-only instrumentation amplifier with electronically-controllable voltage gain [ 13 ]
It may be observed that the gain of this instrumentation amplifier is also
temperature-insensitive since V T is cancelled out.
An instrumentation amplifier realizable with only two CCCIIs was proposed by
Ercan et al. in [ 14 ] which is shown in Fig. 9.16 . A routine analysis of this circuit
reveals that the differential mode gain for this circuit is given by:
R A
2 R x
1
A dm ¼
ð
9
:
12
Þ
ð
1
þ
sC b R A
Þ
where the equivalent resistance (R A ) of the active resistor realized by the two
MOSFETs is given by:
1
R A ¼
ð
9
:
13
Þ
ʼ n C ox W
ð
=
L
Þ
ð
V C
2 V TH
Þ
and C b is the output node capacitance
C b ¼
C A þ
C Z 1
ð
9
:
14
Þ
If the non-ideal current gain and voltage gain of the CCCIIs are taken as
ʱ
and K
respectively, the common-mode gain is given by:
v cm ¼ ʱ
v 0
ð
K 1
K 2
Þ
R A
A cm ¼
ð
:
Þ
9
15
2 R x 1
ð
þ
sC b R A
Þ
From the equation ( 9.15 ), it is clear that for nominal value of
ʱ
and K 1 ,K 2 ,A cm !
0
and consequently, CMRR also
. Also, the bandwidth can be fixed by fixing R A
while the gain can be electronically-controlled through R x .
!1
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