
NOISE PERFORMANCE
E =
O
E
+(I
R ) +4kTR
NI
BN
S
S NG
+
2
(I R )
BI
F
+4kTR NG
F
(
2
)
E =
O
E
+(I
R ) +4kTR
NI
BN
S
S +
2
I R
BI
F
NG
4kTR
F
NG
+
)
(
2
(10)
4kT
R
G
R
G
R
F
R
S
OPA4872
I
BI
E
O
I
BN
4kT=1.6
10
J
x
- 20
at290K
E
RS
E
NI
4kTR
F
4kTR
S
www.ti.com........................................................................................................................................................................................... SBOS444 – DECEMBER 2008
The OPA4872 offers an excellent balance between
(9)
voltage and current noise terms to achieve low output
noise. The inverting current noise (19 pA/
√Hz) is
Dividing this expression by the noise gain (NG = (1 +
significantly lower than earlier solutions, while the
RF/RG)) gives the equivalent input-referred spot noise
input voltage noise (4.5 nV/
√Hz) is lower than most
voltage at the noninverting input, as shown in
unity-gain stable, wideband, voltage-feedback op
amps. As long as the ac source impedance looking
out of the noninverting node is less than 100
, this
current noise will not contribute significantly to the
total output noise. The op amp input voltage noise
Evaluating these two equations for the OPA4872
and the two input current noise terms combine to give
circuit and component values (see
Figure 27) gives a
low output noise under a wide variety of operating
total output spot noise voltage of 14.2 nV/
√Hz and a
conditions.
Figure 34 shows the OPA4872 noise
total equivalent input spot noise voltage of 7.1
analysis model with all the noise terms included. In
nV/
√Hz. This total input-referred spot noise voltage is
this model, all noise terms are taken to be noise
higher than the 4.5-nV/
√Hz specification for the
voltage or current density terms in either nV/
√Hz or
OPA4872 voltage noise alone. This voltage reflects
pA/
√Hz.
the noise added to the output by the inverting current
noise times the feedback resistor. If the feedback
resistor is reduced in high-gain configurations, the
total
input-referred
voltage
noise
given
by
√Hz of the
op amp itself. For example, going to a gain of +10
using RF = 178 gives a total input-referred noise of
4.7 nV/
√Hz.
Figure 34. Op Amp Noise Analysis Model
The total output spot noise voltage can be computed
as the square root of the sum of all squared output
general form for the output noise voltage using the
Copyright 2008, Texas Instruments Incorporated
17