LTC6409
10
6409fa
applicaTions inForMaTion
that can be processed is even wider. The input common
mode range at the op amp inputs depends on the circuit
configuration (gain), V
OCM
and V
CM
(refer to Figure 1). For
fully differential input applications, where V
INP
= –V
INM
,
the common mode input is approximately:
V
ICM
=
V
+IN
+ V
IN
2
V
OCM
R
I
R
I
+R
F
+ V
CM
R
F
R
I
+R
F
With single-ended inputs, there is an input signal com-
ponent to the input common mode voltage. Applying
only V
INP
(setting V
INM
to zero), the input common mode
voltage is approximately:
V
ICM
=
V
+IN
+ V
IN
2
V
OCM
R
I
R
I
+R
F
+
V
CM
R
F
R
I
+R
F
+
V
INP
2
R
F
R
I
+R
F
(2)
This means that if, for example, the input signal (V
INP
)
is a sine, an attenuated version of that sine signal also
appears at the op amp inputs.
Input Impedance and Loading Effects
The low frequency input impedance looking into the V
INP
or V
INM
input of Figure 1 depends on how the inputs are
driven. For fully differential input sources (V
INP
= –V
INM
),
the input impedance seen at either input is simply:
R
INP
= R
INM
= R
I
For single-ended inputs, because of the signal imbalance
at the input, the input impedance actually increases over
the balanced differential case. The input impedance looking
into either input is:
R
INP
=R
INM
=
R
I
1
1
2
R
F
R
I
+R
F
Input signal sources with non-zero output impedances can
also cause feedback imbalance between the pair of feedback
networks. For the best performance, it is recommended
that the input source output impedance be compensated.
If input impedance matching is required by the source,
Figure 1. Circuit for Common Mode Range
+
R
F
V
–OUT
V
+OUT
V
VOCM
V
OCM
6409 F01
R
F
R
I
R
I
+
V
INP
+
V
CM
+
V
INM
V
–IN
V
+IN
suited for pre-amplification, level shifting and conversion
of single-ended signals to differential output signals for
driving differential input ADCs.
Output Common Mode and V
OCM
Pin
The output common mode voltage is defined as the aver-
age of the two outputs:
V
OUTCM
= V
OCM
=
V
+OUT
+ V
OUT
2
As the equation shows, the output common mode voltage
is independent of the input common mode voltage, and
is instead determined by the voltage on the V
OCM
pin, by
means of an internal common mode feedback loop.
If the V
OCM
pin is left open, an internal resistor divider
develops a default voltage of 1.25V with a 5V supply. The
V
OCM
pin can be overdriven to another voltage if desired.
For example, when driving an ADC, if the ADC makes a
reference available for setting the common mode voltage, it
can be directly tied to the V
OCM
pin, as long as the ADC is
capable of driving the 40k input resistance presented by the
V
OCM
pin. The Electrical Characteristics table specifies the
valid range that can be applied to the V
OCM
pin (V
OUTCMR
).
Input Common Mode Voltage Range
The LTC6409’s input common mode voltage (V
ICM
) is
defined as the average of the two input pins, V
+IN
and
V
–IN
. The valid range that can be used for V
ICM
has been
specified in the Electrical Characteristics table (V
ICMR
).
However, due to external resistive divider action of the
gain and feedback resistors, the effective range of signals
LTC6409
11
6409fa
applicaTions inForMaTion
a termination resistor R
T
should be chosen (see Figure
2) such that:
R
T
=
R
INM
R
S
R
INM
R
S
According to Figure 2, the input impedance looking into
the differential amp (R
INM
) reflects the single-ended source
case, given above. Also, R2 is chosen as:
R2=R
T
||R
S
=
R
T
R
S
R
T
+R
S
Figure 2. Optimal Compensation for Signal Source Impedance
Δb is defined as the difference in the feedback factors:
∆β=
R
I2
R
I2
+R
F2
R
I1
R
I1
+R
F1
Here, V
CM
and V
INDIFF
are defined as the average and
the difference of the two input voltages V
INP
and V
INM
,
respectively:
V
CM
=
V
INP
+ V
INM
2
V
INDIFF
= V
INP
– V
INM
When the feedback ratios mismatch (Δb), common mode
to differential conversion occurs. Setting the differential
input to zero (V
INDIFF
= 0), the degree of common mode
to differential conversion is given by the equation:
V
OUTDIFF
= V
+OUT
V
OUT
(V
CM
V
OCM
)
∆β
β
AVG
(3)
In general, the degree of feedback pair mismatch is a
source of common mode to differential conversion of
both signals and noise. Using 0.1% resistors or better
will mitigate most problems and will provide about 54dB
worst case of common mode rejection. A low impedance
ground plane should be used as a reference for both the
input signal source and the V
OCM
pin.
There may be concern on how feedback factor mismatch
affects distortion. Feedback factor mismatch from using
1% resistors or better, has a negligible effect on distortion.
However, in single supply level shifting applications where
there is a voltage difference between the input common
mode voltage and the output common mode voltage,
V
S
+
+
R
F
R
F
R
I
R
INM
R
S
R
I
R2 = R
S
|| R
T
R
T
CHOSEN SO THAT R
T
|| R
INM
= R
S
R2 CHOSEN TO BALANCE R
T
|| R
S
R
T
6409 F02
Effects of Resistor Pair Mismatch
Figure 3 shows a circuit diagram which takes into consid-
eration that real world resistors will not match perfectly.
Assuming infinite open loop gain, the differential output
relationship is given by the equation:
V
OUTDIFF
= V
+OUT
V
OUT
V
INDIFF
R
F
R
I
+
V
CM
∆β
β
AVG
V
OCM
∆β
β
AVG
where R
F
is the average of R
F1
, and R
F2
, and R
I
is the
average of R
I1
, and R
I2
.
b
AVG
is defined as the average feedback factor from the
outputs to their respective inputs:
β
AVG
=
1
2
R
I1
R
I1
+R
F1
+
R
I2
R
I2
+R
F2
Figure 3. Real-World Application with Feedback
Resistor Pair Mismatch
+
R
F2
V
–OUT
V
+OUT
V
VOCM
V
OCM
6409 F03
R
F1
R
I2
R
I1
+
V
INP
+
V
INM
V
–IN
V
+IN
LTC6409
12
6409fa
resistor mismatch can make the apparent voltage offset
of the amplifier appear worse than specified.
The apparent input referred offset induced by feedback
factor mismatch is derived from Equation (3):
V
OSDIFF(APPARENT)
≈ (V
CM
– V
OCM
) • Δb
Using the LTC6409 in a single 5V supply application with
0.1% resistors, the input common mode grounded, and
the V
OCM
pin biased at 1.25V, the worst case mismatch
can induce 1.25mV of apparent offset voltage.
Noise and Noise Figure
The LTC6409’s differential input referred voltage and current
noise densities are 1.1nV/√Hz and 8.8pA/√Hz, respectively.
In addition to the noise generated by the amplifier, the
surrounding feedback resistors also contribute noise. A
simplified noise model is shown in Figure 4. The output
noise generated by both the amplifier and the feedback
components is given by the equation:
e
no
=
e
ni
1+
R
F
R
I
2
+ 2 i
n
R
F
( )
2
+
2 e
nRI
R
F
R
I
2
+ 2 e
nRF
2
If the circuits surrounding the amplifier are well balanced,
common mode noise (e
nVOCM
) of the amplifier does not
appear in the differential output noise equation given above.
A plot of this equation and a plot of the noise generated
by the feedback components for the LTC6409 are shown
in Figure 5.
The LTC6409’s input referred voltage noise contributes
the equivalent noise of a 75Ω resistor. When the feedback
network is comprised of resistors whose values are larger
than this, the output noise is resistor noise and amplifier
current noise dominant. For feedback networks consist-
ing of resistors with values smaller than 75Ω, the output
noise is voltage noise dominant (see Figure 5).
Lower resistor values always result in lower noise at the
penalty of increased distortion due to increased loading
by the feedback network on the output. Higher resistor
values will result in higher output noise, but typically im-
proved distortion due to less loading on the output. For
this reason, when LTC6409 is configured in a differential
gain of 1, using feedback resistors of at least 150Ω is
recommended.
To calculate noise figure (NF), a source resistance and the
noise it generates should also come into consideration.
Figure 6 shows a noise model for the amplifier which
includes the source resistance (R
S
). To generalize the
applicaTions inForMaTion
Figure 4. Simplified Noise Model
+
e
no
2
R
F
V
OCM
e
nRI
2
R
F
R
I
R
I
e
nRF
2
e
nRI
2
e
ni
2
e
nRF
2
i
n+
2
i
n–
2
6409 F04
Figure 5. LTC6409 Output Noise vs Noise
Contributed by Feedback Network Alone
R
I
= R
F
(Ω)
NOISE DENSITY (nV/√Hz)
6409 F05
1000
100
10
1
0.1
10 1000 10000100
TOTAL (AMPLIFIER AND
FEEDBACK NETWORK)
OUTPUT NOISE
FEEDBACK
NETWORK
NOISE

LTC6409CUDB#TRPBF

Mfr. #:
Manufacturer:
Analog Devices Inc.
Description:
High Speed Operational Amplifiers 10GHz GBW, 1.1nV/vHz Diff Amp/ADC Drvr
Lifecycle:
New from this manufacturer.
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