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AD8137YR-REEL Ver la hoja de datos (PDF) - Analog Devices

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AD8137YR-REEL Datasheet PDF : 24 Pages
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The contribution from the input voltage noise spectral density
is computed as
Vo_n1
=
vn
⎜⎛1 +
RF
RG
⎟⎞
,
or
equivalently,
vn
(7)
where vn is defined as the input-referred differential voltage
noise. This equation is the same as that of traditional op amps.
The contribution from the input current noise of each input is
computed as
Vo_n 2 = in (RF )
(8)
where in is defined as the input noise current of one input. Each
input needs to be treated separately since the two input currents
are statistically independent processes.
The contribution from each RG is computed as
Vo_n 3 =
4kTRG
⎜⎛
RF
RG
⎟⎞
(9)
This result can be intuitively viewed as the thermal noise of
each RG multiplied by the magnitude of the differential gain.
The contribution from each RF is computed as
Vo_n 4 = 4kTRF
(10)
Voltage Gain
The behavior of the node voltages of the single-ended-to-
differential output topology can be deduced from the signal
definitions and Figure 63. Referring to Figure 63, (CF = 0) and
setting VIN = 0 one can write:
VIP VAP = VAP VON
(11)
RG
RF
V AN
= VAP
=
VOP
⎢⎣
RG
RF + RG
⎥⎦
(12)
Solving the above two equations and setting VIP to Vi gives the
gain relationship for VO, dm/Vi.
VOP
VON
= VO, dm
=
RF
RG
Vi
(13)
An inverting configuration with the same gain magnitude can
be implemented by simply applying the input signal to VIN and
setting VIP = 0. For a balanced differential input, the gain from
VIN, dm to VO, dm is also equal to RF/RG, where VIN, dm = VIP VIN.
Feedback Factor Notation
When working with differential drivers, it is convenient to in-
troduce the feedback factor β, which is defined as
AD8137
β
RG
RF + RG
(14)
This notation is consistent with conventional feedback analysis
and is very useful, particularly when the two feedback loops are
not matched.
Input Common-Mode Voltage
The linear range of the VAN and VAP terminals extends to within
approximately 1 V of either supply rail. Since VAN and VAP are
essentially equal to each other, they are both equal to the ampli-
fier’s input common-mode voltage. Their range is indicated in
the specifications tables as input common-mode range. The
voltage at VAN and VAP for the connection diagram in Figure 63
can be expressed as
VAN = VAP = VACM =
⎜⎛
RF
RF + RG
×
(VIP
+ VIN
2
) ⎟⎞ + ⎜⎛
⎠⎝
RG
RF + RG
× VOCM
⎟⎞
(15)
where VACM is the common-mode voltage present at the ampli-
fier input terminals.
Using the β notation, Equation (15) can be written as
( ) VACM = βVOCM + 1 − β VICM
(16)
or equivalently,
( ) VACM = VICM + β VOCM VICM
(17)
where VICM is the common-mode voltage of the input signal, i.e.,
VICM VIP
+ VIN
2
.
For proper operation, the voltages at VAN and VAP must stay
within their respective linear ranges.
Calculating Input Impedance
The input impedance of the circuit in Figure 63 will depend on
whether the amplifier is being driven by a single-ended or a
differential signal source. For balanced differential input signals,
the differential input impedance (RIN, dm) is simply
RIN, dm = 2RG
(18)
For a single-ended signal (for example, when VIN is grounded,
and the input signal drives VIP), the input impedance becomes
RIN
=
1
RG
RF
2(RG + RF )
(19)
Rev. A | Page 19 of 24

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