Some Tips on Making a FETching Discrete Amplifier

Some Tips on Making
a FETching Discrete
Amplifier
The unity-gain configuration of the input stage places a tight
constraint on the op amp’s noise performance. In the circuit shown
in Figure 1, the input FETs have finite gain, which reduces the
noise impact of the following stage. In the unity-gain configuration,
the total noise is split between the input buffers and the op amp,
thus requiring a low-noise op amp.
Input Stage Current Sources
By George Alexandrov and Nathan Carter
Introduction
Low-noise amplifiers for photodiode, piezoelectric, and other
instrumentation applications typically call for circuit parameters
such as extremely high input impedance, low 1/f noise, or subpicoamp bias currents that cannot be met with available integrated
products. This article discusses the requirements and challenges
of designing a low-noise amplifier using discrete components, with
particular emphasis on input-referred noise and offset voltage
trimming.
Limitations of High Input Gain Topologies
A typical discrete amplifier, shown in Figure 1, uses a high-speed
op amp preceded by a differential amplifier stage implemented
with dual matched JFETs, which provide high input impedance
and some initial gain. The system noise is dominated by the input
stage, so a low-noise op amp is not required.
VCC
R3
IN–
J1
RC
VEE
J2
lOUT1 lOUT2
IN–
Q0
RDEGEN
Unfortunately, stabilizing the output at low gains and high
frequencies is a challenge. Stability is achieved by adding an RC
compensation network, CC and RC, but the optimum values for
these components change with gain, complicating the overall design.
Also, the large signal response can be too slow for some applications.
The circuit shown in Figure 2 can achieve comparable noise at unity
gain, without the need for compensation. The speed is primarily
determined by the operational amplifier. The circuit consists of
three main parts: the output op amp, the FET input buffers, and
the current sources that bias the FETs.
VCC
J2
IN+
VCC
VOUT
VEE
lBIAS
Q2
RDEGEN
RDEGEN
VEE
VEE
VCC
Figure 1. High-speed, low-noise instrumentation amplifier.
J1
VEE
Q1
IN–
IN–
VCC
VOUT
RBIAS
lBIAS
VCC
IN+
J2
The current flowing in transistor Q0 is mirrored in transistors Q1
and Q2. The noise sources include the 1/f and shot noise of the
transistors. Adding the degeneration resistors decreases the shot
noise by a factor of 1 + gmR DEGEN, but has no effect on the 1/f noise.
This noise source, modeled as a current between base and emitter,
is not improved by adding R DEGEN. A different current source
architecture is needed to reduce both noise sources simultaneously.
VCC
VOUT
J1
VCC
VCC
Figure 3. Current mirror with degeneration.
R2
IN+
VCC
VEE
R1
CC
The current sources used to bias the FET input buffer can have
a dramatic impact on the overall system noise if not implemented
correctly. One way to minimize the bias noise contribution is to
add degeneration resistors to a simple current mirror, as shown
in Figure 3.
lBIAS
Figure 2. Unity-gain stable version of amplifier.
Analog Dialogue 47-10, October (2013)
VCC
J1
VCC
J2
IN+
VCC
VOUT
lOUT1 lOUT2
VEE
RS
RBIAS
RS
Q0
RDEGEN
Q1
RDEGEN
VEE
VEE
Figure 4. Current mirror with current splitting resistors.
A modified current mirror is shown in Figure 4. This current
source requires fewer transistors, allowing the use of a dual
transistor pair instead of a quad package, and reduces both size
and cost. The noise performance is vastly improved, as both shot
noise and 1/f noise are canceled out. The current from transistor
Q0 is mirrored to transistor Q1. This current is split at the collector
using a pair of resistors, so the 1/f and shot noise will split evenly.
Because the noise sources come from the same transistor, they
are coherent. The output is differential, so the noise cancels out,
as shown in Figure 5.
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1
(lO + lN)/2
RS
Amplifier Performance
(lO + lN)/2
The following example uses an amplifier implemented with
LSK389A nJFETs, PMP4201 transistors, and an ADA4897 op
amp. The evaluation board is shown in Figure 6.
RS
lO
lN, 1/f
*
*
lN, SHOT
RDEGEN
Figure 5. Ideal representation of current source
showing noise cancellation.
The current mirror transistors are still degenerated to improve
current matching and output impedance. The current is
determined by the voltage drop across R DEGEN, so transistor
matching is not as important as in the undegenerated case. This
allows the use of almost any matched pair, but the collector
capacitance must be low to maintain stability. The differential
input capacitance of the two implementations remains unchanged
because the coupling between the sources of the two input
devices is dominated by the low differential input impedance of
the amplifier.
For the purposes of testing, the voltage reference that determines
the bias current was set by a resistor connected to VCC. This leaves
the circuit prone to performance issues if VCC changes. In a real
implementation, a Zener, band gap, or IC voltage reference
should be used instead of a resistor.
Op Amp
The op amp determines the speed, noise, output performance,
and distortion of the overall amplifier, so it must be selected
based on the application. Table 1 shows some typical values for
suitable op amps.
Table 1. Relevant Op Amp Characteristics
Wideband
Supply
3-dB
Supply
Noise
Current
Bandwidth
Voltage
(nV/√Hz) (mA per amplifier) (MHz @ G = 1)
(V)
±1.5 to ±5
1.0
3
230
±5 to ±18
0.9
8
65
ADA4897
ADA4898
The most glaring error source of this amplifier implementation
is the high input offset voltage. Largely determined by the input
FET mismatch, this offset voltage can be as high as 10 mV. (The
LSK389 data sheet claims mismatch as high as 20 mV, but figures
this high were never seen during testing.) A gain of 100 creates a
1-V output offset, making the amplifier virtually useless. Before
this amplifier can be used as a preamp, the high input offset
voltage needs to be trimmed. This is done with an AD5292 digital
potentiometer. Two ways to perform the offset trim based on the
placement of the potentiometer are discussed here.
Input Offset Voltage
The input offset voltage for tested versions of the amplifier varied
from 1 mV to 10 mV. The main cause of this offset is the mismatch
of the input JFETs. The LSK389 data sheet shows that I DSS can
vary by as much as 10%, affecting the VGS of the devices and
introducing an offset voltage. Fortunately, the offset stems from
unequal bias currents through the JFETs, so the current sources
that supply these currents can be adjusted to compensate for this
error. One method of achieving zero offset voltage is shown in
Figure 7.
The ADA4897 is a good candidate for the low-noise performance
necessitated by most high-speed sensing applications. For highvoltage applications, the ADA4898 also performs well. Able
to operate with ±18-V supplies, it maintains low noise while
consuming only 8 mA of supply current. Both amplifiers result
in a composite design with over 50 V/µs of slew rate.
VCC
IN–
VCC
Input FETs
Table 2. Relevant JFET Characteristics
LSK389A
LSK489
2N5564
2SJ109
2
Differential
Gate-to-Source
Cutoff Voltage
(mV max)
20
20
5
20
Gate-to-Source
Saturation
Current Ratio
(min)
0.90
0.90
0.95
0.90
Gate
Current
(pA)
N/A
–2 to –25
–3
N/A
VCC
J1 LSK389A J2
AD5292
A
RPOT
IN+
VCC
ADA4897
B
VOUT
VEE
RBIAS
The input FETs determine the input characteristics of the
amplifier. The best performance requires FETs that have good
matching, low noise, and low input bias current. Most importantly,
these JFETs determine the input offset voltage, so they must be
very well matched. In the case of the LSK389, the maximum
ΔVGS is 20 mV, corresponding to a VOS of 20 mV. A technique for
reducing this relatively high offset voltage will be discussed later.
Wideband
Noise
(nV/√Hz @
f = 1 kHz)
0.9 (ID = 2 mA)
1.8 (ID = 2 mA)
2.0 (ID = 1 mA)
1.1 (ID = 3 mA)
Figure 6. Evaluation board for amplifier including
digital potentiometer connection.
Q0
RDEGEN
VEE
RS
W
RS
Q1
PMP4201
RDEGEN
VEE
Figure 7. Using a potentiometer to cancel
input offset voltage.
A digital potentiometer such as the AD5141 or AD5292 can be used
to adjust the current through the input devices. Table 3 shows key
characteristics for these devices, which consist of a three-terminal
potentiometer controlled through an SPI interface to accurately
position the wiper for precise resistance control.
Analog Dialogue 47-10, October (2013)
Table 3. Digital Potentiometer Specifications
Supply
Voltage
(V)
Nominal
Resistance
(k𝛀)
Resistor
Tolerance
(%)
VCC
Resolution
(bits)
Operating
Temperature
(°C)
AD5141
±2.5
10, 100
8
8
–40 to +125
AD5292
±16
20, 50, 100
1
10
–40 to +105
IN–
10K
Q0
VEE
M 80.0ns 2.5GS/s 400ps/pt
A CH1
–710mV
(a)
1
2
CH1 500mV 𝛀
CH2CH2
100mV
500mV 𝛀
M 80.0ns 2.5GS/s 400ps/pt
A CH1
–710mV
IN+
VCC
VOUT
VEE
VCC
250Ω
CH1 500mV 𝛀
CH2CH2
100mV
500mV 𝛀
J1 LSK389A J2
ADA4897
Unfortunately these digital potentiometers have high parasitic
capacitances at their terminals (up to 85 pF), which cause stability
issues and ringing at high frequencies. Figure 8 shows the step
response of the amplifier with and without this potentiometer.
1
2
VCC
348
348
Q1
Q2
AD5292
PMP4201
50Ω
VEE
A
10kΩ
VEE
RPOT
VEE
Q3
B
10kΩ
W
VEE
Figure 9. Alternate method for using potentiometer
to cancel input offset voltage.
In both of the above biasing methods, the digital potentiometer
is used to adjust the current through each FET until their gateto-source voltages are matched and the input offset voltage is
minimized. However, the biasing scheme of Figure 9 ensures that
the high parasitic capacitance of the potentiometer does not cause
high-frequency instability and ringing. It works by combining
the two different current mirror configurations of Figure 3 and
Figure 4. The Q0/Q1 current mirror provides the majority of the
current to the FETs by splitting its collector current, introducing
almost no noise from the biasing transistors. Q0/Q2/Q3 form a more
traditional, yet noisier, current mirror. These are degenerated
so that they only source 1% to 2% of the total FET bias current
(about 30 µA). This is not enough to introduce significant noise,
but allows enough adjustment to easily trim a 10-mV offset.
More importantly, it ensures that the parasitic capacitance of the
potentiometer does not affect the output. Thus, the noise remains
low thanks to the R S splitters, the offset can be trimmed reliably
based on the degeneration of Q2 /Q3, and any potentiometer
parasitics have no effect on the output. Figure 10 shows the step
response for the mirror trimmed version.
1
2
(b)
Figure 8. Step response of amplifier a) with and
b) without potentiometer for offset trimming.
The 85 pF of parasitic capacitance is connected between the
source of the input FETs and ground, causing significant ringing
and instability at high frequencies. An alternative biasing setup
that reduces input offset voltage while maintaining low noise and
stability at high frequencies is shown in Figure 9.
Analog Dialogue 47-10, October (2013)
CH1 500mV 𝛀
CH2CH2
100mV
500mV 𝛀
M 80.0ns 2.5GS/s 400ps/pt
A CH1
–710mV
Figure 10. Step response for amplifier trimmed
at current mirror.
3
Noise
100
FIGURE 3, UNTRIMMED
FIGURE 5, UNTRIMMED
NOISE VOLTAGE (nV/√Hz)
Digital potentiometers provide an easy way to trim the offset
voltage, allowing for a wide range of operating temperatures and
voltages under which the offset can be minimized. The AD5292
includes a 20-times programmable memory that allows the wiper
position to be stored permanently after adjusting the offset voltage.
This circuit implementation used an AD5292 evaluation board
to connect the offset trimming potentiometer off-board. For more
compact designs, the digital potentiometer could be included on
board and programmed using its on-chip serial interface pins.
Using this method, the input offset voltage was successfully
reduced to a few microvolts for the LSK389/ADA4897 amplifier
using an AD5292 20 kΩ potentiometer.
FIGURE 7, SPLITTING TRIM
FIGURE 9, MIRROR TRIM
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Offset Drift
The offset voltage temperature coefficient, or the rate at which
the input offset voltage increases with increasing temperature,
is about 4 µV/°C for the untrimmed amplifier. The addition of
the AD5292 increases this to about 25 µV/°C. These results are
shown in Figure 11.
5
TCVOS = 4.4 𝛍V/°C
INPUT OFFSET VOLTAGE (mV)
4
3
FIGURE 5, UNTRIMMED
FIGURE 9, MIRROR TRIM
2
TCVOS = 24.6 𝛍V/°C
1
10
100
1k
10k
100k
FREQUENCY (Hz)
Figure 12. Input-referred noise voltage for different trims.
Figure 12 shows the noise density of various amplifier configurations. This amplifier achieves a wideband noise density of
2 nV/√Hz with an 8-mA supply current, an improvement over
existing integrated products. The untrimmed 1/f noise is 4 nV/√Hz
at 10 Hz, and 16 nV/√Hz at 1 Hz. Note that both the 1/f and
wideband noise are 1.5 to 2 times higher for the conventional
current mirror (red curve), and that the overall noise remains
virtually unchanged with trimming, as shown in the three
other curves.
30
40
50
60
70
80
90
100
Figure 13 and Figure 14 show the frequency response for various
gains and trim settings. Note that the R S trimmed amplifier is
unstable and that the frequency response is the same between
the untrimmed and mirror-trimmed versions.
20
TEMPERATURE (°C)
Figure 11. Input offset voltage as a function of temperature.
0
GAIN (dB)
Despite the large change in drift, the dynamic range of the
amplifier is improved considerably. Consider an untrimmed
amplifier with 5 mV of offset at a gain of 100 and temperature of
85°C. This creates an output offset of
VOUT = (VOS + TCVOS × T) × G =
(5 mV + 4 µV/°C × 85°C) × 100 = 534 mV.
If the offset was trimmed to 5 µV at the same operating conditions,
the output offset would be
VOUT = (VOS + TCVOS × T) × G =
(5 µV + 25 µV/°C × 85°C) × 100 = 213 mV,
thus improving dynamic range by more than 300 mV. This also
enables field calibration and system level drift calibration and trim
techniques that can further improve accuracy.
4
1
Small Signal Transfer Function
0
–1
20
1
–20
–40
G=1
–60
G = 11
G = 101
–80
100k
1M
10M
100M
1B
FREQUENCY (Hz)
Figure 13. Bandwidth for the untrimmed version
of the amplifier at various gains.
Analog Dialogue 47-10, October (2013)
10
Conclusion
With the growing number of applications that require specialized
op amps with high input impedance, low noise, and minimal
offset voltage, it becomes increasingly important to be able
to design an application-specific circuit using discrete parts.
This article described a high-speed, low-noise amplifier with
adjustable input offset voltage using only four discrete parts.
The design considerations for each stage were discussed, with
particular emphasis on the noise performance of the amplifier
and the various ways to cancel shot and 1/f noise. Using the
ADA4897 op amp and LSK389 JFETs, a unity-gain capable
amplifier with 2-nV/√Hz input-referred noise and only 8 mA of
supply current was designed and tested. The high input offset
voltage, in the range of 10 mV, was digitally trimmed using the
AD5292 digital potentiometer. Alternative parts were discussed,
in order to suit different applications and environments.
0
GAIN (dB)
–10
–20
–30
FIGURE 5, UNTRIMMED
FIGURE 7, SPLITTING TRIM
–40
FIGURE 9, MIRROR TRIM
–50
100k
1M
10M
100M
1B
FREQUENCY (Hz)
Figure 14. Unity gain bandwidth for different
potentiometer placement.
Authors
Input Bias Current
Input bias currents were measured using a gain configuration
and sense resistor. Table 4 shows typical ranges for various parts,
voltages, and temperatures.
Table 4. Input Bias Current Values
Input Bias Current (pA)
ADA4897
(25°C)
ADA4897
(125oC)
ADA4898
(±5 V)
ADA4898
(±15 V)
<1
4000–
10,000
<1
15–50
Analog Dialogue 47-10, October (2013)
George Alexandrov [[email protected]]
is a design engineer intern in the High-Speed Amplifier
Group. He has a BS degree from Stanford University
and is currently studying at UC Berkeley.
Nathan Carter [[email protected]] is a
design engineer in the Linear and RF Group, where
he has been working for more than 10 years. He has
degrees from California Polytechnic State University
and Worcester Polytechnic Institute.
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