AD8132
Rev. D | Page 22 of 32
OTHER β2 = 1 CIRCUITS
The preceding simple configuration with β2 = 1 and its gain of
2 is the highest gain circuit that can be made under this
condition. Since β1 was equal to 0, only higher β1 values are
possible. The circuits with higher values of β1 have gains lower
than 2. However, circuits with β1 equal to 1 are not practical
because they have no effective input and result in a gain of 0.
To increase β1 from 0, it is necessary to add two resistors in a
feedback network. A generalized circuit that has β1 with a value
higher than 0 is shown in Figure 67. A couple of different
convenient gains that can be created are a gain of 1, when β1 is
equal to 1/3, and a gain of 0.5, when β1 equals 0.6.
With β2 equal to 1 in these circuits, VOCM serves as the reference
voltage from which to measure the input voltage and the
individual output voltages. In general, when VOCM is varied in
these circuits, a differential output signal generates in addition
to VOUT, cm changing the same amount as the voltage change of
VOCM.
VARYING β2
While the circuit above sets β2 to 1, another class of simple
circuits can be made that sets β2 equal to 0. This means that
there is no feedback from +OUT to −IN. This class of circuits is
very similar to a conventional inverting op amp. However, the
AD8132 circuits have an additional output and common-mode
input that can be analyzed separately (see Figure 69).
With −IN connected to ground, +IN becomes a virtual ground
in the sense that the term is used for conventional op amps.
Both inputs must maintain the same voltage for equilibrium
operation; therefore, if one is set to ground, the other is driven
to ground. The input impedance can also be seen to be equal to
RG, just as in a conventional op amp.
In this case, however, the positive input and negative output are
used for the feedback network. Because a conventional op amp
does not have a negative output, only its inverting input can be
used for the feedback network. The AD8132 is symmetrical,
therefore, the feedback network on either side can be used to
produce the same results.
Because +IN is a summing junction, by analog-to-conventional
op amps, the gain from VIN to −OUT is −RF/RG. This holds true
regardless of the voltage on VOCM, and since +OUT moves the
same amount in the opposite direction from −OUT, the overall
gain is −2(RF/RG).
VOCM still governs VOUT, cm, so +OUT must be the only output
that moves when VOCM is varied. Because VOUT, cm is the average
of the two outputs, +OUT must move twice as far and in the
same direction as VOCM to create the proper VOUT, cm. Therefore,
the gain from VOCM to +OUT must be 2.
With β2 equal to 0 in these circuits, the gain can theoretically be
set to any value from close to 0 to infinity, just as it can with a
conventional op amp in the inverting mode. However, practical
real-world limitations and parasitics limit the range of
acceptable gain to more modest values.
β1 = 0
There is yet another class of circuits where there is no feedback
from −OUT to +IN. This is the case where β1 = 0. The
resistorless differential amplifier described above meets this
condition, but it was presented only with the condition that
β2 = 1. Recall that this circuit had a gain equal to 2.
If β2 decreases in this circuit from unity, a smaller part of
+VOUT is fed back to −IN and the gain increases (see
Figure 66). This circuit is very similar to a noninverting op
amp configuration, except for the presence of the additional
complementary output. Therefore, the overall gain is twice that
of a noninverting op amp or 2 × (1 + RF2/RG2) or 2 × (1/β2).
Once again, varying VOCM does not affect both outputs in the
same way; therefore, in addition to varying VOUT, cm with unity
gain, there is also an effect on VOUT, dm by changing VOCM.
ESTIMATING THE OUTPUT NOISE VOLTAGE
Similar to the case of a conventional op amp, the differential
output errors (noise and offset voltages) can be estimated by
multiplying the input referred terms, at +IN and −IN, by the
circuit noise gain. The noise gain is defined as
⎟
⎠
⎞
⎜
⎝
⎛
+=
G
F
NR
R
G1
To compute the total output referred noise for the circuit of
Figure 64, consideration must also be given to the contribution
of the resistors RF and RG. Refer to Table 10 for estimated output
noise voltage densities at various closed-loop gains.
Table 10. Recommended Resistor Values and Noise
Performance for Specific Gains
Gain
RG
(Ω)
RF
(Ω)
Bandwidth
−3 dB
(MHz)
Output
Noise
AD8132
Only
(nV/√Hz)
Output
Noise
AD8132 +
RG, RF
(nV/√Hz)
1 499 499 360 16 17
2 499 1.0 k 160 24.1 26.1
5 499 2.49 k 65 48.4 53.3
10 499 4.99 k 20 88.9 98.6