Wide-Range
Current-to-Frequency
Converters
Does an analog-to-digital converter cost you a lot if you need
many bits of accuracy and dynamic range? Absolute accu-
racy better than 0.1% is likely to be expensive. But a capa-
bility for wide dynamic range can be quite inexpensive.
Voltage-to-frequency (V-to-F) converters are becoming
popular as a low-cost form of A-to-D conversion because
they can handle a wide dynamic range of signals with good
accuracy.
Most voltage-to-frequency (V-to-F) converters actually oper-
ate with an input current which is proportional to the voltage
input:
(Figure 1). This current is integrated by an op amp, and a
charge dispenser acts as the feedback path, to balance out
the average input current. When an amount of charge Q=I•T
(or Q=C•V) per cycle is dispensed by the circuit, then the
frequency will be:
When VIN is large:
.
When VIN covers a wide dynamic range, the VOS and Ib of
the op amp must be considered, as they greatly affect the
usable accuracy when the input signal is very small. For
example, when the full-scale input is 10V, a signal which is
100 dB below full-scale will be only 100 µV. If the op amp has
an offset drift of ± 100 µV, (whether caused by time or
temperature), that would cause a ±100% error at this signal
level. However, a current-to-frequency converter can easily
cover a 120 dB range because the voltage offset problem is
not significant when the input signal is actually a current
source. Let’s study the architecture and design of a
current-to-frequency converter, to see where we can take
advantage of this.
When the input signal is a current, the use of a
low-voltage-drift op amp becomes of no advantage, and low
bias current is the prime specification. A low-cost BI-FET™
op amp such as the LF351A has Ib <100 pA, and tempera-
ture coefficient of Ib less than 10 pA/˚C, at room temperature.
In a typical circuit such as Figure 2, the leakage of the
BI-FET™ is a trademark of National Semiconductor Corp.
00562201
FIGURE 1. Typical Voltage-to-Frequency Converter
National Semiconductor
Application Note 240
Robert A. Pease
May 1980
W
ide-Range
Current-to-Frequency
Converters
AN-240
© 2002 National Semiconductor Corporation AN005622 www.national.com
charge dispenser is important, too. The LM331 is only speci-
fied at 10 nA max at room temperature, because that is the
smallest current which can be measured economically on
high-speed test equipment. The leakage of the LM331’s
current-source output at pin 1 is usually 2 pA to 4 pA, and is
always less than the 100 pA mentioned above, at 25˚C.
The feedback capacitor CF should be of a low-leakage type,
such as polypropylene or polystyrene. (At any temperature
above 35˚C, mylar’s leakage may be excessive.) Also,
low-leakage diodes are recommended to protect the circuit’s
input from any possible fault conditions at the input. (A
1N914 may leak 100 pA even with only 1 millivolt across it,
and is unsuitable.)
After trimming this circuit for a low offset when IIN is 1 nA, the
circuit will operate with an input range of 120 dB, from
200 µA to 100 pA, and an accuracy or linearity error well
below (0.02% of the signal plus 0.0001% of full-scale).
The zero-offset drift will be below 5 or 10 pA/˚C, so when the
input is 100 dB down from full-scale, the zero drift will be less
than 2% of signal, for a ±5˚C temperature range. Another
way of indicating this performance is to realize that when the
input is 1/1000 of full-scale, zero drift will be less than 1% of
that small signal, for a 0˚C to 70˚C temperature range.
What if this isn’t good enough? You could get a better op
amp. For example, an LH0022C has 10 pA max Ib. But it is
silly to pay for such a good op amp, with low V offset errors,
when only a low input current specification is needed. The
circuit of Figure 3 shows the simple scheme of using FET
followers ahead of a conventional op amp. An LF351 type is
suitable because it is a cheap, quick amplifier, well suited for
this work. The 2N5909s have a maximum Ib of 1.0 pA, and at
room temperature it will drift only 0.1 pA/˚C. Typical drift is
0.02 pA/˚C.
The voltage offset adjust pot is used to bring the summing
point within a millivolt of ground. With an input signal big
enough to cause fOUT=1 second per cycle, trim the V offset
adjust pot so that closing the test switch makes no effect on
the output frequency (or, output period). Then adjust the
input current offset pot, to get fOUT=1/1000 of full-scale when
IIN is 1/1000 of full-scale. When IIN covers the 140 dB range,
from 200 µA to 20 pA, the output will be stable, with very
good zero offset stability, for a limited temperature range
around room temperature. Note these precautions and spe-
cial procedures:
1. Run the LM331 on 5V to 6V to keep leakage down and
to cut the dissipation and temperature rise, too.
2. Run the FETs with a 6V drain supply.
3. Guard all summing point wiring away from all
othervoltages.
00562202
D1, D2=1N457, 1N484, or similar low-leakage planar diode
FIGURE 2. Practical Wide-Range Current-to-Frequency Converter
AN
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40
www.national.com 2
An alternate approach, shown in Figure 4, uses an LM11C
as the input pre-amplifier. The LM11C has much better volt-
age drift than any of the other amplifiers shown here (nor-
mally less than 2 µV/˚C) and excellent current drift, less than
1 pA/˚C by itself, and typically 0.2 pA/˚C when trimmed with
the 2N3904 bias current compensation circuit as shown. Of
course, the LM331’s leakage of 1 pA/˚C will still double every
10˚C, so that having an amplifier with excellent Ib character-
istics does not solve the whole problem, when trying to get
good accuracy with a 100 pA signal. For that job, even the
leakage of the LM331 must be guarded out!
What if even lower ranges of input current must be ac-
cepted? While it might be possible to use a
current-to-voltage converter ahead of a V-to-F converter,
offset voltage drifts would hurt dynamic range badly. Re-
sponse and zero-drift of such an I-V will be disappointing.
Also, it is not feasible to starve the LM331 to an arbitrary
extent.
For example, while its IOUT (full-scale) of 280 µA DC can be
cut to 10 µA or 28 µA, it cannot be cut to 1 µA or 2.8 µA with
good accuracy at 10 kHz, because the internal switches in
the integrated circuit will not operate with best speed and
precision at such low currents.
Instead, the output current from pin 1 of the LM331 can be
fed through a current attenuator circuit, as shown in Figure 5.
The LM334 (temperature-to-current converter IC) causes
−120 mV bias to appear at the base of Q2. When a current
flows out of pin 1 of the LM331, 1/100 of the current will flow
out of Q1’s collector, and the rest will go out of Q2’s collector.
00562203
Q1 - 2N5909 or similar
1G<1 pA
Q2 - 2N930 or 2N3565
FIGURE 3. Very-Wide-Range Current-to-Frequency Converter
AN-240
www.national.com3
As the LM334’s current is linearly proportional to Kelvin
temperature, the −120 mV at Q2’s base will change linearly
with temperature so that the Q1/Q2 current divider stays at
1:100, invariant of temperature, according to the equation:
This current attenuator will work stably and accurately, even
at high speeds, such as for 4 µS current pulses. Thus, the
output of Q1 is a charge pump which puts out only 10
picocoulombs per pulse, with surprisingly good accuracy.
Note also that the LM331’s leakage is substantially attenu-
ated also, by a factor of 100 or more, so that source of error
virtually disappears. When Q1 is off, it is really OFF, and its
leakage is typically 0.01 pA if the summing point is within a
millivolt or two of ground.
To do justice to this low leakage of the VFC, the op amp
should be made with MOSFETs for Q3 and Q4, such as the
Intersil 3N165 or 3N190 dual MOSFET (with no
gate-protection diodes). When MOSFETs have relatively
poor offset voltage, offset voltage drift, and voltage noise,
this circuit does not care much about these characteristics,
but instead takes advantage of the MOSFET’s superior cur-
rent leakage and current drift.
Now, with an input current of 1 µA, the full-scale output
frequency will be 100 kHz. At a 1 nA input, the output
frequency will be 100 Hz. And, when the input current is 1
pA, the output frequency will drop to 1 cycle per 10 seconds
or 100 mHz. When the input current drops to zero, frequen-
cies as small as 500 µHz have been observed, at 25˚C and
also as warm as 35˚C. Here is a wide-range data converter
whose zero drift is well below 1 ppm per 10˚C! (Rather more
00562204
Q1, 2N3904 or any silicon NPN
Q2, 2N930 or 2N3565
FIGURE 4. Very-Wide-Range I-to-F Converter with Low Voltage Drift
AN
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40
www.national.com 4
like 0.001 ppm per˚C.) The usable dynamic range is better
than 140 dB, with excellent accuracy at inputs between
100% and 1% and 0.01% and 0.0001% of full-scale.
If a positive signal is of interest, the LM331 can be applied
with a current reflector as in Figure 6. This current reflector
has high output impedance, and low leakage. Its output can
go directly to the summing point, or via a current attenuator
made with NPN transistors, similar to the PNP circuit of
Figure 5. This circuit has been observed to cover a wide (130
dB) range, with 0.1% of signal accuracy.
What is the significance of this wide-range
current-to-frequency converter? In many industrial systems
the question of using an inexpensive 8-bit converter instead
of an expensive 12-bit data converter is a battle which is
decided everyday. But if the signal source is actually a
current source, then you can use a V-to-F converter to make
a cheap 14-bit converter or an inexpensive converter with 18
bits of dynamic range. The choice is yours.
00562205
Q1, Q2, Q5 - 2N3906, 2N4250 or similar
Q3, Q4 - 3N165, 3N190 or similar. See text
Keep Q1, Q2 and LM334 at the same temperature
FIGURE 5. Picoampere-to-Frequency Converters
AN-240
www.national.com5
Why use an I-to-F converter?
• It is a natural form of A-to-D conversion.
• It naturally facilitates integration, as well.
• There are many signals in the world, such as photospec-
trometer currents, which like to be digitized and inte-
grated as a standard part of the analysis of the data.
• Similarly: photocurrents, dosimeters, ionization currents,
are examples of currents which beg to be integrated in a
current-to-frequency meter.
• Other signal sources which provide output currents are:
— Phototransistors
— Photo diodes
— Photoresistors (with a fixed voltage bias)
— Photomultiplier tubes
— Some temperature sensors
— Some IC signal conditioners
Why have a fast frequency out?
• A 100 kHz output full-scale frequency instead of 10 kHz
means that you have 10 times the resolution of the
signal. For example, when IIN is 0.01% of full-scale, the f
will be 10 Hz. If you integrate or count that frequency for
just 10 seconds, you can resolve the signal to within 1%
− a factor of 10 better than if the full-scale frequency were
slower.
00562206
Q1 - 2N4250 or 2N3906
Q2, Q3, Q4 - 2N3904 or 2N3565
FIGURE 6. Current-to-Frequency Converter For Positive Signals
AN
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www.national.com 6
Notes
LIFE SUPPORT POLICY
NATIONAL’S PRODUCTS ARE NOT AUTHORIZED FOR USE AS CRITICAL COMPONENTS IN LIFE SUPPORT
DEVICES OR SYSTEMS WITHOUT THE EXPRESS WRITTEN APPROVAL OF THE PRESIDENT AND GENERAL
COUNSEL OF NATIONAL SEMICONDUCTOR CORPORATION. As used herein:
1. Life support devices or systems are devices or
systems which, (a) are intended for surgical implant
into the body, or (b) support or sustain life, and
whose failure to perform when properly used in
accordance with instructions for use provided in the
labeling, can be reasonably expected to result in a
significant injury to the user.
2. A critical component is any component of a life
support device or system whose failure to perform
can be reasonably expected to cause the failure of
the life support device or system, or to affect its
safety or effectiveness.
National Semiconductor
Corporation
Americas
Email: support@nsc.com
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Fax: +49 (0) 180-530 85 86
Email: europe.support@nsc.com
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Fax: 81-3-5639-7507
www.national.com
W
ide-Range
Current-to-Frequency
Converters
AN-240
National does not assume any responsibility for use of any circuitry described, no circuit patent licenses are implied and National reserves the right at any time without notice to change said circuitry and specifications.
FIGURE 1. Typical Voltage-to-Frequency Converter
FIGURE 2. Practical Wide-Range Current-to-Frequency Converter
FIGURE 3. Very-Wide-Range Current-to-Frequency Converter
FIGURE 4. Very-Wide-Range I-to-F Converter with Low Voltage Drift
FIGURE 5. Picoampere-to-Frequency Converters
FIGURE 6. Current-to-Frequency Converter For Positive Signals
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