Law conformance 0.3 dB from 3 nA to 3 mA
Temperature-stable logarithmic outputs
Nominal slope 10 mV/dB (200 mV/dec), externally scalable
Intercepts may be independently set by external resistors
User-configurable output buffer amplifiers
Single- or dual-supply operation
Space-efficient, 24-lead 4 mm × 4 mm LFCSP
Low power: < 10 mA quiescent current
APPLICATIONS
Gain and absorbance measurements
Multichannel power monitoring
General-purpose baseband log compression
PRODUCT DESCRIPTION
The ADL53101 low cost, dual logarithmic amplifier converts
input current over a wide dynamic range to a linear-in-dB
output voltage. It is optimized to determine the optical power
in wide-ranging optical communication system applications,
including control circuitry for lasers, optical switches, attenuators, and amplifiers, as well as system monitoring. The device
is equivalent to a dual AD8305 with enhanced dynamic range
(120 dB). While the ADL5310 contains two independent signal
channels with individually configurable transfer function
constants (slope and intercept), internal bias circuitry is shared
between channels for improved power consumption and
channel matching. Dual converters in a single, compact LFCSP
package yield space-efficient solutions for measuring gain or
attenuation across optical elements. Only a single supply is
required; optional dual-supply operation offers added flexibility.
Dual Logarithmic Converter
ADL5310
FUNCTIONAL BLOCK DIAGRAM
665kΩ
VSUM
IRF1
V
BIAS
INP1
I
PD1
COMM
IRF2
V
BIAS
INP2
I
PD2
VSUM
665kΩ
The logarithmic slope is set to 10 mV/dB (200 mV/decade)
nominal and can be modified using external resistors and the
independent buffer amplifiers. The logarithmic intercepts for
each channel are defined by the individual reference currents,
which are set to 3 μA nominal for maximum input range by
connecting 665 kΩ resistors between the 2.5 V VREF pins and
the IRF1 and IRF2 inputs. Tying VRDZ to VREF effectively sets
the x-intercept four decades below the reference current—
typically 300 pA for a 3 µA reference.
VREFVRDZ
VNEG
2.5V0.5V
80kΩ20kΩ
VNEG
VREF
Figure 1.
COMM
TEMPERATURE
COMPENSATION
REFERENCE
GENERATOR
TEMPERATURE
COMPENSATION
6.69kΩ
I
LOG
14.2kΩ
14.2kΩ
I
LOG
6.69kΩ
COMM
451Ω
451Ω
OUT1
V
SCL1
BIN1
LOG1
OUT2
V
SCL2
BIN2
LOG2
OUT1
4.99kΩ
OUT2
4.99kΩ
04415-0-001
The ADL5310 employs an optimized translinear structure that
use the accurate logarithmic relationship between a bipolar
transistor’s base emitter voltage and collector current, with
appropriate scaling by precision currents to compensate for the
inherent temperature dependence. Input and reference current
pins sink current ranging from 3 nA to 3 mA (limited to ±60 dB
between input and reference) into a fixed voltage defined by the
VSUM potential. The VSUM potential is internally set to
500 mV but may be externally grounded for dual-supply operation, and for additional applications requiring voltage inputs.
Rev. A
Information furnished by Analog Devices is believed to be accurate and reliable.
However, no responsibility is assumed by Analog Devices for its use, nor for any
infringements of patents or other rights of third parties that may result from its use.
Specifications subject to change without notice. No license is granted by implication
or otherwise under any patent or patent rights of Analog Devices. Trademarks and
registered trademarks are the property of their respective owners.
The use of individually optimized reference currents may
be valuable when using the ADL5310 for gain or absorbance
measurements where each channel input has a different currentrange requirement. The reference current inputs
are also fully functional dynamic inputs, allowing log ratio
operation with the reference input current as the denominator.
The ADL5310 is specified for operation from –40°C to +85°C.
1
US Patents: 4,604,532, 5,519,308. Other patents pending.
Law Conformance Error 10 nA < IPD < 1 mA 0.1 0.4 dB
3 nA < IPD < 3 mA 0.3 0.6 dB
Wideband Noise
2
Small Signal Bandwidth2 I
Maximum Output Voltage 1.7 V
Minimum Output Voltage Limited by VN = 0 V 0.10 V
Output Resistance 4.375 5 5.625 kΩ
REFERENCE OUTPUT Pin 7 and Pin 24 (internally shorted): VREF
Voltage wrt Ground 2.45 2.5 2.55 V
–40°C < TA < +85°C 2.42 2.58 V
Maximum Output Current Sourcing (grounded load) 20 mA
Incremental Output Resistance Load current < 10 mA 4 Ω
OUTPUT BUFFERS Pins 12 to 14 and 17 to 19: OUT2, SCL2, BIN2, BIN1, SCL1,
Input Offset Voltage −20 +20 mV
Input Bias Current Flowing out of Pins 13, 14, 17, and 18 0.4 µA
Incremental Input Resistance 35 MΩ
Incremental Output Resistance Load current < 10 mA; gain = 1 0.5 Ω
Output High Voltage RL = 1 kΩ to ground
Output Low Voltage RL = 1 kΩ to ground 0.10 V
Peak Source/Sink Current 30 mA
Small-Signal Bandwidth Gain = 1 15 MHz
Slew Rate 0.2 V to 4.8 V output swing 15 V/µs
POWER SUPPLY Pins 8 and 9: VPOS; Pins 10, 11, and 20: VNEG
Positive Supply Voltage (VP – VN ) ≤ 12 V 3 5 12 V
Quiescent Current Input currents < 10 µA 9.5 11.5 mA
Negative Supply Voltage (Optional) (VP – VN ) ≤ 12 V
1
Other values of logarithmic intercept can be achieved by adjustment of R
2
Output noise and incremental bandwidth are functions of input current; measured using output buffer connected for GAIN = 1.
= 665 kΩ, and VRDZ connected to VREF, unless otherwise noted.
REF
PD
Flows toward INP1 pin or INP2 pin 3 n 3 m A
V
− V
, V
SUM
IREF
− V
SUM
IN
165 300 535 pA
IPD > 3 µA; output referred 0.5 µV/√Hz
= 3 µA 1.5 MHz
PD
and OUT1
.
REF
−20
+20 mV
V
−
P
V
0.1
−5.5
0 V
Rev. A | Page 3 of 20
Page 4
ADL5310
ABSOLUTE MAXIMUM RATINGS
Table 2.
Parameter Rating
Supply Voltage VP − V
Input Current 20 mA
Internal Power Dissipation 500 mW
θ
JA
Maximum Junction Temperature 125°C
Operating Temperature Range –40°C to +85°C
Storage Temperature Range
Lead Temperature Range (Soldering 60 sec) 300°C
N
12 V
1
35°C/W
−65°C to +150°C
1
With paddle soldered down.
ESD CAUTION
ESD (electrostatic discharge) sensitive device. Electrostatic charges as high as 4000 V readily accumulate on
the human body and test equipment and can discharge without detection. Although this product features
proprietary ESD protection circuitry, permanent damage may occur on devices subjected to high energy
electrostatic discharges. Therefore, proper ESD precautions are recommended to avoid performance
degradation or loss of functionality.
Stresses above those listed under Absolute Maximum Ratings
may cause permanent damage to the device. This is a stress
rating only; functional operation of the device at these or any
other conditions above those listed in the operational sections
of this specification is not implied. Exposure to absolute
maximum rating conditions for extended periods may affect
device reliability.
Rev. A | Page 4 of 20
Page 5
ADL5310
PIN CONFIGURATION AND FUNCTION DESCRIPTIONS
VREF
VRDZ
COMMCOMMVNEG
23 22 21 20 19
24
OUT1
OUT2
18
SCL1
17
BIN1
16
LOG1
15
LOG2
14
BIN2
13
SCL2
04415-0-002
VSUM
INP1
IRF1
IRF2
INP2
VSUM
1
PIN 1
INDICATOR
2
3
4
5
6
78910 11 12
VREF
ADL5310
DUAL LOG AMP
TOP VIEW
(Not to Scale)
VPOS
VPOS
VNEG
VNEG
Figure 2. 24-Lead LFCSP Pin Configuration
Table 3. Pin Function Descriptions
Pin No. Mnemonic Function
1, 6 VSUM Guard Pin. Used to shield the INP1 and INP2 input current lines, and for optional adjustment of the input
summing node potentials. Pin 1 and Pin 6 are internally shorted.
2 INP1 Channel 1 Numerator Input. Accepts (sinks) photodiode current I
. Usually connected to photodiode anode
PD1
such that photocurrent flows into INP1.
3 IRF1 Channel 1 Denominator Input. Accepts (sinks) reference current, I
4 IRF2 Channel 2 Denominator Input. Accepts (sinks) reference current, I
5 INP2 Channel 2 Numerator Input. Accepts (sinks) photodiode current I
.
RF1
.
RF2
. Usually connected to photodiode anode
PD2
such that photocurrent flows into INP2.
7, 24 VREF Reference Output Voltage of 2.5 V. Pin 7 and Pin 24 are internally shorted.
8, 9 VPOS Positive Supply, (VP – VN) ≤ 12 V. Both pins must be connected externally.
10, 11, 20 VNEG Optional Negative Supply, VN. These pins are usually grounded. For more details, see the General Structure and
Applications sections. All VNEG pins must be connected externally.
12 OUT2 Buffer Output for Channel 2.
13 SCL2 Buffer Amplifier Inverting Input for Channel 2.
14 BIN2 Buffer Amplifier Noninverting Input for Channel 2.
15 LOG2 Output of the Logarithmic Front End for Channel 2.
16 LOG1 Output of the Logarithmic Front End for Channel 1.
17 BIN1 Buffer Amplifier Noninverting Input for Channel 1.
18 SCL1 Buffer Amplifier Inverting Input for Channel 1.
19 OUT1 Buffer Output for Channel 1.
21, 22 COMM Analog Ground. Pin 21 and Pin 22 are internally shorted.
23 VRDZ Intercept Shift Reference Input. The top of a resistive divider network that offsets VLOG to position the
intercept. Normally connected to VREF; may also be connected to ground when bipolar outputs are to be
provided.
Rev. A | Page 5 of 20
Page 6
ADL5310
TYPICAL PERFORMANCE CHARACTERISTICS
VP = 5 V, VN = 0 V, R
1.6
1.4
= 665 kΩ, TA = 25°C, unless otherwise noted.
REF
TA = –40°C, 0°C, +25°C, +70°C,
= 0V
V
IN
+85°C
2.0
1.5
1.2
1.0
(V)
0.8
LOG
V
0.6
0.4
0.2
0
1n10n100n1µ10µ100µ1m10m
I
(A)
INP
vs. I
Figure 3. V
for Multiple Temperatures
LOG
INP
1.8
1.6
1.4
1.2
(V)
1.0
LOG
V
0.8
0.6
0.4
0.2
0
1n10n100n1µ10µ100µ1m10m
Figure 4. V
LOG
TA = –40°C, 0°C, +25°C, +70°C,
V
= 0V
IN
I
(A)
REF
vs. I
for Multiple Temperatures (I
REF
INP
1.8
1.6
1.4
1.2
(V)
1.0
LOG
V
0.8
0.6
0.4
0.2
0
1n10n100n1µ10µ100µ1m10m
30nA
3nA
Figure 5. V
3µA
300nA
I
INP
vs. I
for Multiple Values of I
LOG
INP
300µA
30µA
(A)
Decade Steps from 3 nA to 3 mA
+85°C
= 3 µA)
3mA
,
REF
04415-0-003
04415-0-004
04415-0-005
1.0
0.5
0
–0.5
ERROR (dB (10mV/dB))
–1.0
–1.5
–2.0
1n10n100n1µ10µ100µ1m10m
+25°C
I
INP
Figure 6. Law Conformance Error vs. I
+70°C
0°C
(A)
–40°C
for Multiple Temperatures,
INP
Normalized to 25°C
2.0
1.5
1.0
0.5
0
–0.5
ERROR (dB (10mV/dB))
–1.0
–1.5
–2.0
1n10n100n1µ10µ100µ1m10m
Figure 7. Law Conformance Error vs. I
1.0
0.8
0.6
0.4
0.2
0
–0.2
–0.4
ERROR (dB (10mV/dB))
–0.6
–0.8
–1.0
1n10n100n1µ10µ100µ1m10m
Figure 8. Law Conformance Error vs. I
+70°C
3µA
300nA
+85°C
Normalized to 25°C (I
300µA
30µA
I
REF
3mA
I
INP
–40°C
(A)
for Multiple Temperatures,
REF
= 3 µA)
INP
30nA3nA
(A)
for Multiple Values of I
INP
Decade Steps from 3 nA to 3 mA
+85°C
+25°C
0°C
04415-0-006
04415-0-007
04415-0-008
,
REF
Rev. A | Page 6 of 20
Page 7
ADL5310
1.8
1.6
1.4
1.2
(V)
1.0
LOG
V
0.8
3nA
0.6
0.4
0.2
30nA
300nA
3µA
0
1n10n100n1µ10µ100µ1m10m
I
REF
vs. I
Figure 9. V
for Multiple Values of I
LOG
REF
30µA
300µA
(A)
Decade Steps from 3 nA to 3 mA
3mA
INP
04415-0-009
,
1.0
I
REF
3nA
30nA
(A)
for Multiple Values of I
REF
300nA
0.8
0.6
0.4
0.2
3µA
0
–0.2
–0.4
ERROR (dB (10mV/dB))
–0.6
30µA
–0.8
–1.0
1n10n100n1µ10µ100µ1m10m
3mA
300µA
Figure 12. Law Conformance Error vs. I
Decade Steps from 3 nA to 3 mA
3mA
3µA
04415-0-012
,
INP
1.0
0.8
+5V, 0V
0.6
0.4
0.2
+3V, 0V
0
–0.2
+5V, –5V
–0.4
ERROR (dB (10mV/dB))
–0.6
–0.8
–1.0
1n10n100n1µ10µ100µ1m10m
Figure 10. Law Conformance Error vs. I
+9V, 0V
+12V, 0V
+5V, –5V
(A)
I
INP
for Various Supply Conditions
INP
+12V, 0V
2.0
1.5
1.0
0.5
0
MEAN ± 3σ AT 0°C
TA = 0°C, 70°C
MEAN + 3σ AT 70°C
04415-0-010
2.0
1.5
1.0
0.5
0
–0.5
ERROR (dB (10mV/dB))
–1.0
–1.5
–2.0
1n10n100n1µ10µ100µ1m10m
MEAN + 3σ
MEAN – 3σ
I
(A)
PD
TA = 25°C
Figure 13. Law Conformance Error Distribution (3σ to Either Side of Mean)
4
3
2
1
0
MEAN + 3σ AT +85°C
MEAN + 3σ AT –40°C
TA = –40°C, 85°C
04415-0-013
–0.5
ERROR (dB (10mV/dB))
–1.0
–1.5
–2.0
1n10n100n1µ10µ100µ1m10m
I
(A)
PD
MEAN – 3σ AT 70°C
Figure 11. Law Conformance Error Distribution (3σ to Either Side of Mean)
Rev. A | Page 7 of 20
04415-0-011
–1
ERROR (dB (10mV/dB))
–2
–3
–4
1n10n100n1µ10µ100µ1m10m
MEAN – 3σ AT –40°C
I
(A)
PD
Figure 14. Law Conformance Error Distribution (3σ to Either Side of Mean)
04415-0-014
Page 8
ADL5310
15
10
5
0
–5
–10
–15
–20
–25
–30
–35
NORMALIZED RESPONSE (dB)
–40
–45
–50
Figure 15. Small Signal AC Response, I
(5% Sine Modulation, Decade Steps from 3 nA to 3 mA)
15
10
5
0
–5
–10
–15
–20
–25
–30
–35
NORMALIZED RESPONSE (dB)
–40
–45
–50
Figure 16. Small Signal AC Response, I
(5% Sine Modulation, Decade Steps from 3 nA to 3 mA)
100
3nA
30nA
3nA
10k100k1001k1M10M100M
FREQUENCY (Hz)
300nA
3mA
3µA
to V
INP
OUT
30nA
300nA
3µA
30µA
10k100k1001k1M10M100M
FREQUENCY (Hz)
3mA
to V
REF
OUT
30µA
300µA
(AV = 1)
300µA
(AV = 1)
04415-0-015
04415-0-016
1.6
1.4
T-RISE < 1µs T-FALL < 1µs300µA TO 3mA
T-RISE < 1µs T-FALL < 1µs30µA TO 300µA
T-RISE < 1µs T-FALL < 5µs3µA TO 30µA
T-RISE < 5µs T-FALL < 10µs300nA TO 3µA
T-RISE < 10µs T-FALL < 40µs30nA TO 300nA
T-RISE < 30µs T-FALL < 80µs3nA TO 30nA
0
020406080 100 120 140 160 180 200
TIME (µs)
to V
Figure 18. Pulse Response—I
(AV = 1)
INP
OUT
(V)
V
OUT
1.2
1.0
0.8
0.6
0.4
0.2
in Consecutive 1-Decade Steps
1.6
1.4
T-RISE < 80µs T-FALL < 30µs3nA TO 30nA
T-RISE < 40µs T-FALL < 10µs30nA TO 300nA
T-RISE < 10µs T-FALL < 5µs300nA TO 3µA
T-RISE < 1µs T-FALL < 1µs3µA TO 30µA
T-RISE < 1µs T-FALL < 1µs30µA TO 300µA
T-RISE < 1µs T-FALL < 1µs300µA TO 3mA
0
020406080 100 120 140 160 180 200
TIME (µs)
to V
Figure 19. Pulse Response—I
(AV = 1)
REF
OUT
(V)
V
OUT
1.2
1.0
0.8
0.6
0.4
0.2
in Consecutive 1-Decade Steps
5.0
04415-0-018
04415-0-019
3nA
10
1
V rms/ Hz
µ
0.1
300µA
0.01
1001k10k100k1M10M
Figure 17. Spot Noise Spectral Density at V
for I
30nA
300nA
30µA
3mA
FREQUENCY (Hz)
in Decade Steps from 3 nA to 3 mA
INP
3µA
vs. Frequency (AV = 1)
OUT
04415-0-017
Rev. A | Page 8 of 20
4.0
3.0
mV rms
2.0
1.0
0
10n100n1µ10µ100µ1m10m1n
(A)
I
INP
Figure 20. Total Wideband Noise Voltage at V
OUT
vs. I
(AV = 1)
INP
04415-0-020
Page 9
ADL5310
25
20
15
10
5
0
DRIFT (mV)
–5
REF
V
–10
–15
–20
–25
–40 –30 –20 –10 020601030 40 5070 80 90
Figure 21. V
MEAN + 3σ
MEAN – 3σ
TEMPERATURE (°C)
Drift vs. Temperature (3σ to Either Side of Mean)
REF
Normalized to 25°C
6
5
4
3
2
1
0
–1
DRIFT (mV/dec)
Y
–2
V
–3
–4
–5
–6
–40 –30 –20 –10 020601030 40 5070 80 90
MEAN + 3σ
MEAN – 3σ
TEMPERATURE (°C)
Figure 22. Slope Drift vs. Temperature (3σ to Either Side of Mean)
Normalized to 25°C
200
04415-0-021
04415-0-022
5
4
3
2
1
0
–1
DRIFT (mV)
INPT
–2
V
–3
–4
–5
–6
–40 –30 –20 –10 020601030 40 5070 80 90
Figure 24. V
MEAN + 3σ
MEAN – 3σ
TEMPERATURE (°C)
Drift vs. Temperature (3σ to Either Side of Mean)
INPT
Normalized to 25°C
7
6
5
4
3
2
1
0
DRIFT (mV/dec)
–1
Y
∆V
–2
–3
–4
–5
–6
–40 –30 –20 –10 020601030 40 5070 80 90
MEAN + 3σ
MEAN – 3σ
TEMPERATURE (°C)
Figure 25. Slope Mismatch Drift vs. Temperature
– VY2, 3σ to Either Side of Mean) Normalized to 25°C
(V
Y1
200
04415-0-024
04415-0-025
150
100
50
0
DRIFT (pA)
Z
I
–50
–100
–150
–40 –30 –20 –10 020601030 40 5070 80 90
MEAN + 3σ
MEAN – 3σ
TEMPERATURE (°C)
Figure 23. Intercept Drift vs. Temperature
(3σ to Either Side of Mean) Normalized to 25°C
04415-0-023
Rev. A | Page 9 of 20
150
100
50
0
DRIFT (pA)
–50
Z
∆I
–100
–150
–200
–40 –30 –20 –10 020601030 40 5070 80 90
MEAN + 3σ
MEAN – 3σ
TEMPERATURE (°C)
Figure 26. Intercept Mismatch Drift vs. Temperature
– IZ2, 3σ to Either Side of Mean) Normalized to 25°C
(I
Z1
04415-0-026
Page 10
ADL5310
700
600
500
400
COUNT
300
200
100
0
600
195190200205210
SLOPE (mV/dec)
Figure 27. Distribution of Logarithmic Slope
04415-0-027
450
400
350
300
250
200
COUNT
150
100
50
0
–30–9–6369
SLOPE MISMATCH (mV/dec)
Figure 30. Distribution of Channel-to-Channel Slope Mismatch ( V
500
– VY2)
Y1
04415-0-030
500
400
300
COUNT
200
100
700
600
500
400
COUNT
300
200
100
0
200100300400500
INTERCEPT (pA)
Figure 28. Distribution of Logarithmic Intercept
04415-0-028
400
300
COUNT
200
100
0
–1000–300–200100200300
INTERCEPT MISMATCH (pA)
Figure 31. Distribution of Channel-to-Channel Intercept Mismatch (I
500
400
300
COUNT
200
100
Z1
– IZ2)
04415-0-031
0
2.482.462.502.522.54
VREF VOLTAGE (V)
Figure 29. Distribution of V
(RL = 100 kΩ)
REF
04415-0-029
0
–30–9–6369
V
– V
INPT
VOLTAGE (mV)
SUM
Figure 32. Distribution of Offset Voltage (V
INPT
– V
SUM
04415-0-032
)
Rev. A | Page 10 of 20
Page 11
ADL5310
GENERAL STRUCTURE
The ADL5310 addresses a wide variety of interfacing conditions
to meet the needs of fiber optic supervisory systems and is
useful in many nonoptical applications. These notes explain the
structure of this unique style of translinear log amp. Figure 33
shows the key elements of one of the two identical on-board
log amps.
BIAS
GENERATOR
PHOTODIODE
CURRENT
I
PD
INP1
(INP2)
2.5V
INPUT
80kΩ
0.5V
VSUM
0.5V
VNEG (NORMALLY GROUNDED)
Figure 33. Simplified Schematic of Single Log Amp
20kΩ
VREF
V
BE1
COMM
IREF
Q2Q1
0.5V
I
REF
V
BE1
V
BE2
VRDZ
V
BE2
TEMPERATURE
COMPENSATION
(SUBTRACT AND
DIVIDE BY T°K)
44µA/dec
451Ω14.2kΩ
6.69kΩ
COMM
VLOG
04415-0-033
The photodiode current IPD is received at either Pin INP1 or
Pin INP2. The voltages at these nodes are approximately equal
to the voltage on the adjacent guard pins, VSUM, as well as
reference inputs IRF1 and IRF2, due to the low offset voltage
of the JFET operational amplifiers. Transistor Q1 converts I
PD
to a corresponding logarithmic voltage, as shown in Equation 1.
A finite positive value of V
is needed to bias the collector of
SUM
Q1 for the usual case of a single-supply voltage. This is internally set to 0.5 V, one-fifth of the 2.5 V reference voltage that
appears on Pin VREF. Both VREF pins are internally shorted,
as are both VSUM pins. The resistance at the VSUM pin is
nominally 16 kΩ; this voltage is not intended as a general bias
source.
The ADL5310 also supports the use of an optional negative
supply voltage, V
, at Pin VNEG. When VN is 0.5 V or more
N
negative, VSUM may be connected to ground; thus, INP1, INP2,
IRF1, and IRF2 assume this potential. This allows operation as a
voltage-input logarithmic converter by the inclusion of a series
resistor at either or both inputs. Note that the resistor setting I
REF
for each channel needs to be adjusted to maintain the intercept
value. Also note that the collector-emitter voltages of Q1 and Q2
are the full V
and effects due to self-heating cause errors at
N
large input currents.
The input-dependent V
of a second transistor, Q2, operating at I
V
BE2
of Q1 is compared with the reference
BE1
. I
is gener-
REF
REF
ated externally to a recommended value of 3 µA. However, other
values over a several-decade range can be used with a slight
degradation in law conformance.
THEORY
The base-emitter voltage of a bipolar junction transistor (BJT)
can be expressed by Equation 1, which immediately shows its
basic logarithmic nature:
V
= kT/q ln(IC/IS) (1)
BE
where:
I
is the collector current.
C
is a scaling current, typically only 10
I
S
kT/q is the thermal voltage, proportional to absolute
temperature (PTAT), and is 25.85 mV at 300 K.
is never precisely defined and exhibits an even stronger tem-
I
S
perature dependence, varying by a factor of roughly a billion
between −35°C and +85°C. Thus, to make use of the BJT as an
accurate logarithmic element, both of these temperature
dependencies must be eliminated.
The difference between the base-emitter voltages of a matched
pair of BJTs, one operating at the photodiode current I
other operating at a reference current I
V
– V
BE1
= ln(10) kT/q log
= 59.5 mV log
= kT/q ln(IPD/IS) – kT/q ln(I
BE2
10(IPD/IREF
10(IPD/IREF
) (T = 300 K)
The uncertain, temperature-dependent saturation current, I
that appears in Equation 1 has therefore been eliminated. To
eliminate the temperature variation of kT/q, this difference
voltage is processed by what is essentially an analog divider.
Effectively, it puts a variable under Equation 2. The output of
this process, which also involves a conversion from voltage
mode to current mode, is an intermediate, temperaturecorrected current:
I
where I
= IY log10(IPD/I
LOG
is an accurate, temperature-stable scaling current that
Y
) (3)
REF
determines the slope of the function (change in current per
decade). For the ADL5310, I
is 44 µA, resulting in a
Y
temperature-independent slope of 44 µA/decade for all values
and I
of I
PD
voltage-mode output, V
. This current is subsequently converted back to a
REF
, scaled 200 mV/decade.
LOG
It is apparent that this output should be 0 for I
would need to swing negative for smaller values of input
current. To avoid this, I
smallest value of I
to shift it upward by 0.8 V when VRDZ is directly
V
LOG
would need to be as small as the
REF
. Accordingly, an offset voltage is added to
PD
connected to VREF. This moves the intercept to the left by four
decades (at 200 mV/decade), from 3 μA to 300 pA:
= IY log10(IPD/I
I
LOG
where I
is the operational value of the intercept current.
INTC
Because values of I
) (4)
INTC
< I
PD
result in a negative V
INTC
supply of sufficient value is required to accommodate this
situation.
–17
A.
and the
PD
, can be written as
REF
)
REF/IS
) (2)
,
S
= I
PD
and
REF
, a negative
LOG
Rev. A | Page 11 of 20
Page 12
ADL5310
The voltage V
resistance of 4.55 kΩ, formed by the parallel combination of a
6.69 kΩ resistor to ground and a 14.2 kΩ resistor to Pin VRDZ
(typically tied to the 2.5 V reference, VREF). At the LOG1
(LOG2) pin, the output current I
V
LOG
= 44 µA × 4.55 kΩ × log
= V
Y
where V
Y
tive loading on LOG1 (LOG2) lowers this slope and results in
an overall scaling uncertainty. This is due to the variability of
the on-chip resistors compared to the off-chip load. As a consequence, this practice is not recommended.
may also swing below ground when dual supplies (VP and
V
LOG
) are used. When VN = −0.5 V or larger, the input Pins INP1
V
N
(INP2) and IRF1 (INP2) may be positioned at ground level
simply by grounding VSUM. Care must be taken to limit the
power consumed by the input BJT devices when using a larger
negative supply, because self-heating degrades the accuracy at
higher currents.
is generated by applying I
LOG
= I
× 4.55 kΩ
LOG
log10(IPD/I
INTC
)
generates a voltage of
LOG
10(IPD/IINTC
to an internal
LOG
) (5)
= 200 mV/decade or 10 mV/dB. Note that any resis-
Thus, the effective intercept current I
thousandth of I
recommended value of I
, corresponding to 300 pA when using the
REF
= 3 µA.
REF
is only one ten-
INTC
The slope can be reduced by attaching a resistor between the log
amp output pin, LOG1 or LOG2, and ground. This is strongly
discouraged given that the on-chip resistors do not ratio
correctly to the added resistance. Also, it is rare that one would
wish to lower the basic slope of 10 mV/dB; if this is needed, it
should be effected at the low impedance output of the buffer
amps, which are provided to avoid such miscalibration and to
allow higher slopes to be used.
Each of the ADL5310’s buffers is essentially an uncommitted
operational amplifier with rail-to-rail output swing, good loaddriving capabilities, and a typical unity-gain bandwidth of
15 MHz. In addition to allowing the introduction of gain, using
standard feedback networks and thereby increasing the slope
voltage V
, the buffer can be used to implement multipole, low-
Y
pass filters, threshold detectors, and a variety of other functions.
Further details on these applications can be found in the
AD8304 data sheet.
MANAGING INTERCEPT AND SLOPE
When using a single supply, VRDZ should be directly connected
to VREF to allow operation over the entire 6-decade input
current range. As noted in the Theory section, this introduces
an accurate offset voltage of 0.8 V at the LOG1 and LOG2 pins,
equivalent to four decades, resulting in a logarithmic transfer
function that can be written as
V
= V
where I
= VY log10(104 × IPD/I
LOG
log10(IPD/I
Y
INTC
= I
REF
INTC
/104.
) (6)
REF
)
RESPONSE TIME AND NOISE CONSIDERATIONS
The response time and output noise of the ADL5310 are fundamentally a function of the signal current, I
the bandwidth is proportional to I
, as shown in Figure 15. The
PD
output low frequency voltage-noise spectral-density is a
function of I
values of I
(see Figure 17) and also increases for small
PD
. Details of the noise and bandwidth performance
REF
of translinear log amps can be found in the AD8304 data sheet.
. For smal l cur rents,
PD
Rev. A | Page 12 of 20
Page 13
ADL5310
APPLICATIONS
665kΩ
VREFVRDZVPOS
VNEG
2.5V0.5V
80kΩ
VNEG
VREFVNEGCOMM
665kΩ
V
V
4.7nF
BIAS
I
4.7nF
BIAS
I
2kΩ
PD1
1kΩ
1nF
2kΩ
PD2
1kΩ
1nF
1nF
VSUM
I
RF1
IRF1
INP1
20kΩ
COMM
IRF2
I
RF2
INP2
VSUM
Figure 34. Basic Connections for Fixed Intercept Use
The ADL5310 is easy to use in optical supervisory systems
and in similar situations where a wide-ranging current is to
be converted to its logarithmic equivalent—that is, represented
in decibel terms. Basic connections for measuring a single
current at each input are shown in Figure 34, which also
includes various nonessential components, as explained next.
The 2 V difference in voltage between the VREF and Input Pins
INP1 and INP2, in conjunction with the external 665 kΩ resistors R
RF1
and R
, provides 3 µA reference currents I
RF2
RF1
and I
RF2
into Pins IRF1 and IRF2. Connecting VRDZ to VREF raises the
voltage at LOG1 and LOG2 by 0.8 V, effectively lowering each
intercept current I
A wide range of other values for I
by a factor of 104 to position it at 300 pA.
INTC
, from 3 nA to 3 mA, may be
REF
used. The effect of such changes is shown in Figure 5 and
Figure 8.
(R
Any temperature variation in R
) must be taken into
RF1
RF2
account when estimating the stability of the intercept. Also, the
(I
overall noise increases when using very low values of I
RF1
RF2
).
In fixed-intercept applications there is little benefit in using a
large reference current, because doing so only compresses the
low-current-end of the dynamic range when operated from a
single supply. The capacitor between VSUM and ground is
TEMPERATURE
COMPENSATION
TEMPERATURE
COMPENSATION
5V
COMM
REFERENCE
GENERATOR
COMM
I
0.5log
FLT1
0.5log
FLT2
04415-0-034
( )
10
( )
10
PD1
1nA
I
PD2
1nA
6.69kΩ
I
LOG
14.2kΩ
14.2kΩ
I
LOG
6.69kΩ
451Ω
451Ω
OUT1
SCL1
BIN1
LOG1
OUT2
SCL2
BIN2
LOG2
V
12kΩ
V
12kΩ
OUT1
OUT2
8kΩ
C
10 nF
8kΩ
C
10 nF
strongly recommended to minimize the noise on this node, to
reduce channel-to-channel crosstalk, and to help provide clean
reference currents.
In addition, each input and reference pin (INP1, INP2, IRF1,
and IRF2) has a compensation network made up of a series
resistor and capacitor. The junction capacitance of the photodiode along with the network capacitance of the board artwork
around the input system creates a pole that varies widely with
input current. The RC network stabilizes the system by simultaneously reducing this pole frequency and inserting a zero to
compensate an additional pole inherent in the input system. In
general, the 1 nF, 1 kΩ network handles almost any photodiode
interface. In situations where larger active area photodiodes are
used, or when long input traces are used, the capacitor value
may need to be increased to ensure stability. Although the signal
and reference input systems are similar, additional care is
required to ensure stable operation of the reference inputs at
(I
temperature extremes across the full current range of I
RF1
RF2
).
It is recommended that filter components of 4.7 nF and 2 kΩ
should be used from Pin IRF1 (IRF2) to ground. Temperaturestable components should always be used in critical locations
such as the compensation networks; Y5V-type chip capacitors
are to be avoided due to their poor temperature stability.
Rev. A | Page 13 of 20
Page 14
ADL5310
The optional capacitor from LOG1 (LOG2) to ground forms a
single-pole, low-pass filter in combination with the 5 kΩ resistance at this pin. For example, when using a C
3 dB corner frequency is 3.2 kHz. Such filtering is useful in
minimizing the output noise, particularly when I
Multipole filters are more effective in reducing the total noise;
examples are provided in the AD8304 data sheet.
Because the basic scaling at LOG1 (LOG2) is 0.2 V/decade,
and thus a 4 V swing at the buffer output would correspond to
20 decades, it is often useful to raise the slope to make better use
of the rail-to-rail voltage range. For illustrative purposes, both
channels in Figure 34 provide a 0.5 V/decade overall slope
(25 mV/dB). Thus, using I
= 3 nA to 1.4 V at IPD = 3 mA; the buffer output runs from
I
PD
= 3 μA, V
REF
LOG
0.5 V to 3.5 V, corresponding to a dynamic range of 120 dB
(electrical, that is, 60 dB optical power).
Further information on adjusting the slope and intercept, using
a negative supply, and additional operations can be found in the
AD8305 data sheet.
CALIBRATION
Each channel of the ADL5310 has a nominal slope and intercept
at LOG1 (LOG2) of 200 mV/decade and 300 pA, respectively,
when configured as shown in Figure 34. These values are
untrimmed and the slope alone may vary by as much as 7.5%
over temperature. For this reason, it is recommended that a
simple calibration be done to achieve increased accuracy. While
the ADL5310 offers improved slope and intercept matching
compared to a randomly selected pair of AD8305 log amps, the
specified accuracy can only be achieved by calibrating each
channel individually.
1.4
1.2
1.0
0.8
(V)
LOG
0.6
V
0.4
0.2
0
Figure 35. Using 2-Point Calibration to Increase Measurement Accuracy
MEASURED OUTPUT
10n100n1µ10µ100µ1m10m1n
UNCALIBRATED ERROR
CALIBRATED ERROR
IDEAL OUTPUT
I
(A)
PD
of 10 nF, the
FLT
is small.
PD
runs from 0.2 V at
4
3
2
1
0
–1
–2
–3
ERROR (dB (10mV/dB))
04415-0-035
Figure 35 shows the improvement in accuracy when using a 2point calibration method. To perform this calibration,
apply two known currents, I
and I2, in the linear operating
1
range between 10 nA and 1 mA. Measure the resulting output,
and V2, respectively, and calculate the slope m and the
V
1
intercept b:
m = (V
– V2)/[log10(I1) – log10(I2)] (7)
1
– m × log10(I1) (8)
b = V
1
The same calibration could be performed with two known
optical powers, P
and P2. This allows for calibration of the
1
entire measurement system while providing a simplified
relationship between the incident optical power and V
LOG
voltage:
m = (V
– V2)/(P1 – P2) (9)
1
– m × P1 (10)
b = V
1
The uncalibrated error line in Figure 35 was generated assuming that the slope of the measured output was 200 mV/decade
when in fact it was actually 194 mV/decade. Correcting for this
discrepancy decreased measurement error up to 3 dB.
MINIMIZING CROSSTALK
Combining two high-dynamic-range logarithmic converters in
one IC carries potential pitfalls concerning channel-to-channel
isolation. Special care must be taken in several areas to ensure
acceptable crosstalk performance, particularly when one or both
channels may operate at very low input currents. Fastidious supply bypassing—also necessary for overall stability—and careful
board layout are important first steps for minimizing crosstalk.
While the shared bias circuitry improves channel-to-channel
matching and reduces power consumption, it is also a source of
crosstalk that must be mitigated. The VSUM pins, which are
internally shorted, should be bypassed with at least 1 nF to
ground, and 20 nF is recommended for operation at the lowest
currents (<30 nA). VSUM is of particular importance because it
acts as a reference voltage input for each input system, but
without the bandwidth limitation at low currents that the
primary inputs incur. Disturbances at the VSUM pin that are
well within the bandwidth of the input are tracked by the loop
and do not generate disturbances at the output (aside from the
generally minor perturbation in reference currents caused by
voltage variations at IRF1 and IRF2).
For this reason, the pole frequency at VSUM, which has a 16 kΩ
typical source resistance, should be set below the minimum
input system bandwidth for the lowest input current to be
encountered. Because the low frequency noise at VSUM is also
tracked by the loop within its available bandwidth, this is also a
criterion for reducing the noise contribution at the output from
the thermal noise of the 16 kΩ source resistance at VSUM.
Rev. A | Page 14 of 20
Page 15
ADL5310
A 10 nF capacitor on each VSUM pin (20 nF parallel equivalent)
combined with the 16 kΩ source resistance yields a 500 Hz pole,
which is sufficiently below the bandwidth for the minimum
input current of 3 nA.
Residual crosstalk disturbance is particularly problematic at the
lowest currents for two reasons. First, the loop is unable to reject
summing node disturbances beyond the limited bandwidth.
Second, the settling response at the lowest currents to any
residual disturbance is significantly slower than that for input
currents even one or two decades higher (see Figure 18).
12
ACTIVE CHANNEL OUTPUT PULSE, 1-DECADE STEP
3µA TO 30µA
9
6
– 3nA
I
INP
3
0
I
INP
–3
INACTIVE CHANNEL OUTPUT (mV)
INACTIVE CHANNEL RESPONSE
–6
00.51.01.52.02.5
– 30nA
I
– 10nA
INP
TIME (ms)
I
INP
– 100nA
1.2
1.0
0.8
0.6
0.4
0.2
0
ACTIVE CHANNEL OUTPUT (V)
04415-0-036
Figure 36. Crosstalk Pulse Response for Various Input Current Values
Figure 36 shows the measured response of an inactive channel
(dc input) to a 1-decade current step on the input of the active
channel for several inactive channel dc current values. Additional system considerations may be necessary to ensure
adequate settling time following a known transient when one or
both channels are operating at very low input currents.
RELATIVE AND ABSOLUTE POWER
MEASUREMENTS
When properly calibrated, the ADL5310 provides two independent channels capable of accurate absolute optical power
measurements. Often, it is desirable to measure the relative
gain or absorbance across an optical network element, such as
an optical amplifier or variable attenuator. If each channel has
identical logarithmic slopes and intercepts, this can easily be
done by differencing the output signals of each channel. In
reality, channel mismatch can result in significant errors over a
wide range of input levels if left uncompensated. Postprocessing
of the signal can be used to account for individual channel
characteristics. This requires a simple calculation of the
expected input level for a measured log voltage, followed by
differencing of the two signal levels in the digital domain for a
relative gain or absorbance measurement. A more straightforward analog implementation includes the use of a current
mirror, as shown in Figure 37. The current mirror is used to
feed an opposite polarity replica of the cathode photocurrent of
PD2 into Channel 2 of the ADL5310. This allows one channel to
be used as an absolute power meter for the optical signal
incident on PD2, while the opposite channel is used to directly
compute the log ratio of the two input signals.
VPOS
10
BIAS
10
5V
COMM
I
IN2
()
100pA
I
LOG2
I
IN1
()
I
PD2
I
LOG1
COMM
OUT2
SCL2
BIN2
LOG2
OUT1
SCL1
BIN1
LOG1
1nF
1nF
*
Φ
2
α
**
21
5V
0.1µF
PD2
InGaAs PIN
5V
PD1
InGaAs PIN
I
IN2=IPD2
1kΩ
4.7nF
2MΩ
1kΩ
4.7nF
I
PD2
1kΩ
4.7nF
I
IN1
1kΩ
4.7nF0.1µF
1nF
1nF
VSUM
INP2
IRF2
VRDZ
VREF
IRF1
INP1
VSUM
ADL5310
*Φ
log
log
**α21(V) ≅ 0.2log
log
log
(V) ≅ 0.2log
2
TEMPERATURE
COMPENSATION
GENERATOR
TEMPERATURE
COMPENSATION
VNEGCOMM
Figure 37. Absolute and Relative Power Measurement Application
Using Modified Wilson Current Mirror
The presented current mirror is a modified Wilson mirror.
Other current mirror implementations would also work, though
the modified Wilson mirror provides fairly constant performance over temperature. It is essential to use matched pair
transistors when designing the current mirror to minimize the
effects of temperature gradients and beta mismatch.
04415-0-037
Rev. A | Page 15 of 20
Page 16
ADL5310
The solution in Figure 37 is no longer subject to potential
channel mismatch issues. Individual channel slope and intercept
characteristics can be calibrated independently. The accuracy
was verified using a pair of calibrated current sources. The
performance of the circuit depicted in Figure 37 is shown in
Figure 38 and Figure 39. Multiple transfer functions and error
plots are provided for various power levels. The accuracy is
better than 0.1 dB over a 5-decade range. The dynamic range is
slightly reduced for strong I
limited available swing of the VLOG pin and can be recovered
through careful selection of input and output optical tap
coupling ratios.
1.8
1.6
φ2 WHEN I
1.4
1.2
1.0
0.8
0.6
OUTPUT VOLTAGE (V)
0.4
0.2
0
Figure 38. Absorbance and Absolute Power Transfer Functions for
0.5
0.4
0.3
0.2
0.1
0
I
=10µ A
–0.1
PD1
ERROR (dB)
–0.2
–0.3
–0.4
–0.5
–30 –20 –100102030–40
Figure 39. Log Conformance for Wilson Mirror ADL5310 Combination,
Normalized to 10 mA Channel 1 Input Current, I
PD1
–1001020304050–20
Wilson Mirror ADL5310 Combination
I
=1µA
PD1
input currents. This is due to the
IN
= 100µA
α21 FOR MULTIPLE VALUES OF I
LOG
[I
PD1/IPD2
= 100µA
[I
PD1/IPD2
] (dB)
405060
] (dB)
I
LOG
10
PD1
10
PD1
60
04415-0-038
04415-0-039
IN1
CHARACTERIZATION METHODS
During the characterization of the ADL5310, the device was
treated as a precision current-input logarithmic converter,
because it is impractical to generate accurate photocurrents by
illuminating a photodiode. The test currents were generated by
using either a well-calibrated current source, such as the
Keithley 236, or a high value resistor from a voltage source to
the input pin. Great care is needed when using very small input
currents. For example, the triax output connection from the
current generator was used with the guard tied to VSUM. The
input trace on the PC board was guarded by connecting
adjacent traces to VSUM.
These measures are needed to minimize the risk of leakage
current paths. With 0.5 V as the nominal bias on the INP1
(INP2) pin, a leakage-path resistance of 1 GΩ to ground would
subtract 0.5 nA from the input, which amounts to a −1.6 dB
error for a 3 nA source current. Additionally, the very high
sensitivity at the input pins and the long cables commonly
needed during characterization allow 60 Hz and RF emissions
to introduce substantial measurement errors. Careful guarding
techniques are essential to reducing the pickup of these spurious
signals.
Additional information, including test setups, can be found in
the AD8305 and ADL5306 data sheets.
Rev. A | Page 16 of 20
Page 17
ADL5310
EVALUATION BOARD
An evaluation board is available for the ADL5310 (Figure 40 shows the schematic). It can be configured for a wide variety of experiments.
The gain of each buffer amp is factory-set to unity, providing a slope of 200 mV/dec, and the intercept is set to 300 pA. Table 4 describes
the various configuration options.
Table 4. Evaluation Board Configuration Options
Component Function Default Condition
P1 Supply Interface. Provides access to the Supply Pins VNEG, COMM, and
IREF, INPT Input Interface. The test board is configured to accept current through the
J1, J2 SC-Style Photodiode. Provides for the direct mounting of SC-style
Monitor Interface. By adding 0 Ω resistors to R1, R3, R8, R9, R17, R22, and
R25, the VRDZ, VREF, VSUM, BIN1, BIN2, OUT1, and OUT2 pin voltages
can be monitored using a high impedance probe. VBIAS allows for the
external bias voltages to be applied to J1 and J2. If R30 = 0 Ω,
VBIAS = VREF.
Buffer Amplifier/Output Interface. The logarithmic slopes of the ADL5310
can be altered using each buffer’s gain-setting resistors, R5 and R6, and
R18 and R19. R7, R16, R31, R32, C19, and C20 allow for variation in the
buffer loading. R20, R21, C4, C14, C15, and C16 are provided for a variety
of filtering applications.
determines the intercept reference current for each log amp, nominally
set to 3 µA using a 665 kΩ 1% resistor. R2 can be used to adjust the
output offset voltage at the LOG1 and LOG2 outputs.
Input Compensation. Provides essential HF compensation at the Input
Pins INP1, INP2, IRF1, and IRF2.
SMA connectors labeled INP1 and INP2. Through-holes are provided to
connect photodiodes in place of the INP1 and INP2 SMAs for optical
interfacing. By removing R28 (R29 for INP2), a second current can be
applied to the IRF1 (IRF2 for INP2) input (also SMA) for evaluating the
ADL5310 in log ratio applications.
photodiodes.
P1 = installed
P2 = not installed
R1 = R3 = R8 = open (size 0402)
R9 = R17 = open (size 0402)
R22 = R25 = R30 = open (size 0402)