FEATURES
Optimized for Fiber Optic Photodiode Interfacing
Measures Current over 5 Decades
Law Conformance 0.1 dB from 10 nA to 1 mA
Single- or Dual-Supply Operation (3 V to 12 V Total)
Full Log-Ratio Capabilities
Nominal Slope of 10 mV/dB (200 mV/Decade)
Nominal Intercept of 1 nA (Set by External Resistor)
Optional Adjustment of Slope and Intercept
Complete and Temperature Stable
Rapid Response Time for a Given Current Level
Miniature 16-Lead Chip Scale Package
(LFCSP 3 mm ⴛ 3 mm)
Low Power: ~5 mA Quiescent Current
APPLICATIONS
Optical Power Measurement
Wide Range Baseband Logarithmic Compression
Measurement of Current and Voltage Ratios
Optical Absorbance Measurement
GENERAL DESCRIPTION
The AD8305 is an inexpensive microminiature logarithmic
converter optimized for determining optical power in fiber optic
systems. It uses an advanced implementation of a classic translinear (junction based) technique to provide a large dynamic
range in a versatile and easily used form. A single-supply voltage of
between 3 V and 12 V is adequate; dual supplies may optionally
be used. The low quiescent current (typically 5 mA) permits use
in battery-operated applications.
The input current, I
, of 10 nA to 1 mA applied to the INPT
PD
pin is the collector current of an optimally scaled NPN transistor, which converts this current to a voltage (V
) with a precise
BE
logarithmic relationship. A second such converter is used to
handle the reference current (I
) applied to pin IREF. These
REF
input nodes are biased slightly above ground (0.5 V). This is generally acceptable for photodiode applications where the anode
does not need to be grounded. Similarly, this bias voltage is
easily accounted for in generating I
. The output of the loga-
REF
rithmic front end is available at Pin VLOG.
The basic logarithmic slope at this output is nominally 200 mV/
decade (10 mV/dB). Thus, a 100 dB range corresponds to an
output change of 1 V. When this voltage (or the buffer output)
is applied to an ADC that permits an external reference voltage
to be employed, the AD8305’s voltage reference output of 2.5 V
at Pin VREF can be used to improve the scaling accuracy. Suitable ADCs include the AD7810 (serial 10-bit), AD7823 (serial
*Protected by U.S. Patent No. 4,604,532 and 5,519,308; other patents pending.
AD8305
*
FUNCTIONAL BLOCK DIAGRAM
SCAL
451⍀
COMM
10
BFIN
I
PD
( )
1nA
VOUT
VLOG
200k⍀
V
BIAS
VRDZ
VREF
IREF
I
PD
INPT
VSUM
0.5V
0.5V
20k⍀
COMM
Q2
Q1
VNEG
80k⍀
V
P
VPOS
GENERATOR
2.5V
V
BE2
TEMPERATURE
–
+
COMPENSATION
V
BE1
BIAS
14.2k⍀
6.69k⍀
COMM
0.20 log
I
LOG
8-bit), and AD7813 (parallel, 8-bit or 10-bit). Other values of
the logarithmic slope can be provided using a simple external
resistor network.
The logarithmic intercept (also known as the reference current)
is nominally positioned at 1 nA by the use of the externally
generated current, I
, of 10 mA, provided by a 200 kW resistor
REF
connected between VREF, at 2.5 V, and the reference input
IREF, at 0.5 V. The intercept can be adjusted over a wide range
by varying this resistor. The AD8305 can also operate in a logratio mode, with the numerator current applied to INPT and
the denominator current applied to IREF.
A buffer amplifier is provided for driving a substantial load, for
use in raising the basic slope of 10 mV/dB to higher values, as a
precision comparator (threshold detector), or in implementing
low-pass filters. Its rail-to-rail output stage can swing to within
100 mV of the positive and negative supply rails, and its peak
current sourcing capacity is 25 mA.
It is a fundamental aspect of translinear logarithmic converters
that the small signal bandwidth falls as the current level diminishes, and the low frequency noise-spectral density increases. At
the 10 nA level, the bandwidth of the AD8305 is about 50 kHz,
and increases in proportion to I
up to a maximum value of
PD
about 15 MHz. Using the buffer amplifier, the increase in noise
level at low currents can be addressed by using it to realize lowpass filters of up to three poles.
The AD8305 is available in a 16-lead LFCSP package and is
specified for operation from –40∞C to +85∞C.
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. 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 companies.
Input Offset Voltage–20+20mV
Input Bias CurrentFlowing out of Pin 10 or 110.4mA
Incremental Input Resistance35MW
Output RangeR
= 1 kW to groundVP – 0.1V
L
Incremental Output ResistanceLoad Current < 10 mA0.5W
Peak Source/Sink Current25mA
Small Signal BandwidthGAIN = 115MHz
Slew Rate0.2 V to 4.8 V Output Swing15V/ms
POWER SUPPLYPin 8, VPOS; Pin 6 and Pin 7, VNEG
Positive Supply Voltage (V
– VN) £ 12 V3512V
P
Quiescent Current5.46.5mA
Negative Supply Voltage (Optional)
NOTES
1
Other values of logarithmic intercept can be achieved by adjusting R
2
Output noise and incremental bandwidth are functions of input current, measured using output buffer connected for GAIN = 1.
Operating Temperature Range . . . . . . . . . . . .–40∞C to +85∞C
ModelRangeDescriptionOption
AD8305ACP–40∞C to +85∞C16-Lead LFCSP CP-16
AD8305ACP-REEL7 7" Tape and Reel
AD8305-EVALEvaluation Board
TemperaturePackagePackage
Storage Temperature Range . . . . . . . . . . . . . –65∞C to +150∞C
Lead Temperature Range (Soldering 60 sec) . . . . . . . . . 300∞C
NOTES
1
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 indicated in the operational
section of this specification is not implied. Exposure to absolute maximum rating
conditions for extended periods may affect device reliability.
2
With package die paddle soldered to thermal pad containing nine vias connected
to inner and bottom layers.
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 the
AD8305 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.
PIN CONFIGURATION
16 COMM
15 COMM
14 COMM
13 COMM
VRDZ 1
VREF 2
IREF 3
INPT 4
PIN 1
INDICATOR
AD8305
TOP VIEW
VNEG 6
VSUM 5
VPOS 8
VNEG 7
12 VOUT
11 SCAL
10 BFIN
9 VLOG
PIN FUNCTION DESCRIPTIONS
Pin No.MnemonicFunction
1VRDZTop of a Resistive Divider Network that Offsets V
to Position the Intercept. Normally connected
LOG
to VREF; may also be connected to ground when bipolar outputs are to be provided.
2VREFReference Output Voltage of 2.5 V.
3IREFAccepts (Sinks) Reference Current, I
REF.
4INPTAccepts (Sinks) Photodiode Current, IPD. Usually connected to photodiode anode such that photo
current flows into INPT.
5VSUMGuard Pin. Used to shield the INPT current line and for optional adjustment of the INPT and I
REF
node potential.
6, 7VNEG
Optional Negative Supply, VN. (This pin is usually grounded; for details of usage, see the Applications section).
8VPOSPositive Supply, (VP – VN ) £ 12 V.
9VLOGOutput of the Logarithmic Front End.
10BFINBuffer Amplifier Noninverting Input.
11SCALBuffer Amplifier Inverting Input.
12VOUTBuffer Output.
13–16COMMAnalog Ground.
REV. A
–3–
AD8305–Typical Performance Characteristics
(VP = 5 V, VN = 0 V, R
otherwise noted.)
= 200 k, TA = 25C, unless
REF
1.6
TA = –40C, 0C, +25C, +70C, +85C
= 0V
V
1.4
N
1.2
1.0
– V
0.8
LOG
V
0.6
0.4
0.2
0
1n
TPC 1. V
1.8
1.6
1.4
1.2
1.0
– V
LOG
0.8
V
0.6
0.4
0.2
0
1n
TPC 2. V
–40C
+25C
+85C
10n100n1101001m10m
vs. I
LOG
10n100n1101001m10m
LOG
–40C
vs. I
PD
+25C
+85C
REF
0C
+70C
IPD – A
for Multiple Temperatures
T
= –40C, 0C, +25C, +70C, +85C
A
VN = 0V
0C
+70C
I
– A
REF
for Multiple Temperatures
2.0
1.5
1.0
0.5
0
–0.5
ERROR – dB(10mV/dB)
–1.0
–1.5
–2.0
–40C
1n
10n100n1101001m10m
TPC 4. Law Conformance Error vs. IPD (at I
TA = –40C, 0C, +25C, +70C, +85C
V
= 0V
N
+85C
0C
+25C
I
PD
+70C
– A
REF
for Multiple Temperatures, Normalized to 25
2.0
1.5
1.0
0.5
0
–0.5
ERROR – dB(10mV/dB)
–1.0
–1.5
–2.0
10n100n1101001m10m
1n
TPC 5. Law Conformance Error vs. I
T
= –40C, 0C, +25C, +70C, +85C
A
VN = 0V
+70C
+25C
I
– A
REF
+85C
0C
–40C
(at IPD = 10 mA)
REF
for Multiple Temperatures, Normalized to 25
= 10 mA)
∞
C
∞
C
1.8
1.6
1.4
1.2
1.0
– V
LOG
0.8
V
0.6
0.4
0.2
0
TPC 3. V
10nA
100nA
1A
10A
100A
1mA
1n
10n100n1101001m10m
vs. IPD for Multiple Values of I
LOG
IPD – A
(Decade Steps from 10 nA to 1 mA)
REF
0.5
0.4
0.3
0.2
0.1
0
–0.1
–0.2
ERROR – dB(10mV/dB)
–0.3
–0.4
–0.5
1n
100A 1mA
10A
1A
10nA
100nA
10n100n1101001m10m
IPD – A
TPC 6. Law Conformance Error vs. IPD for Multiple
Values of I
(Decade Steps from 10 nA to 1 mA)
REF
REV. A–4–
AD8305
1.8
1.6
1.4
1.2
1.0
– V
LOG
0.8
V
0.6
0.4
0.2
0
1n
TPC 7. V
1A
100nA
10nA
10n100n1101001m10m
vs. I
LOG
I
– A
REF
for Multiple Values of I
REF
1mA
100A
10A
PD
(Decade Steps from 10 nA to 1 mA)
0.5
0.4
0.3
0.2
0.1
0
–0.1
–0.2
ERROR – dB(10mV/dB)
–0.3
–0.4
–0.5
1n
10n100n1101001m10m
+3V, 0V
+5V, 0V
+9V, 0V
+3V, –0.5V
+5V, –5V
+12V, 0V
IPD – A
TPC 8. Law Conformance Error vs. IPD for Various
Supply Conditions (see Annotations)
0.5
0.4
0.3
0.2
0.1
0
–0.1
–0.2
ERROR – dB(10mV/dB)
–0.3
–0.4
–0.5
100A
1n
10n100n1101001m10m
10A
1mA
I
REF
10nA
– A
TPC 10. Law Conformance Error vs. I
100nA
REF
1A
for Multiple
Values of IPD (Decade Steps from 10 nA to 1 mA)
1.4
1.2
1.0
0.8
– V
OUT
0.6
V
0.4
0.2
0
TPC 11. Pulse Response – IPD to V
100A TO 1mA: T-RISE = <1s,
T- F A LL = < 1s
10A TO 10A: T-RISE = <1s,
T- F A LL = < 1s
1A TO 10 A: T-RISE = 1s,
T- F A LL = 5s
100nA TO 1A: T- R I SE = 5s,
T- F A LL = 20s
10nA TO 100nA: T-RISE = 20s,
T- F A LL = 30s
TIME – s
OUT
160140120100806040200–20
(G = 1)
180
– mV
– V
V
REV. A
INPT
–0.1
SUM
–0.2
–0.3
–0.4
0.4
0.3
0.2
0.1
0
1n
10n100n1101001m10m
TPC 9. V
INPT
IPD – A
– V
SUM
vs. I
PD
–5–
1.6
– V
V
OUT
1.4
1.2
1.0
0.8
0.6
0.4
0.2
10nA TO 100nA: T-RISE = 30s,
T- F A LL = 20s
100nA TO 1A: T- R I SE = 30s,
T- F A LL = 5s
1A TO 10A: T-RISE = 5s,
T- F A LL = < 1s
10A TO 100A: T-RISE = 1s,
T- F A LL = < 1s
100A TO 1mA: T-RISE = < 1s,
T- F A LL = < 1s
0
TIME – s
TPC 12. Pulse Response – I
REF
to V
OUT
160140120100806040200–20
(G = 1)
180
AD8305
OUT
V
–10
–20
–30
–40
–50
10
0
100
1k10k100k1M10M100M
10nA
100nA
1mA
1A
FREQUENCY – Hz
10A
100A
TPC 13. Small Signal AC Response (5% Sine
Modulation), from I
Decade Steps from 10 nA to 1 mA, I
10
0
–10
–20
–30
NORMALIZED RESPONSE – dB
–40
–50
100
1k10k100k1M10M100M
to V
PD
OUT
100nA
10nA
1mA
1A
FREQUENCY – Hz
(G = 1) for IPD in
= 10 mA
REF
10A
100A
TPC 14. Small Signal AC Response (5% Sine
Modulation), from I
REF
to V
(G = 1) for I
OUT
REF
in
Decade Steps from 10 nA to 1 mA, IPD = 10 mA
3
0
–3
–6
NORMALIZED RESPONSE – dB
–9
–12
10k100k1M10M100M
AV = 5
A
= 2.5
V
FREQUENCY – Hz
= 1
A
V
= 2
A
V
TPC 16. Small Signal AC Response of the Buffer for
Various Closed-Loop Gains (R
2.0
1.5
1.0
0.5
0
DRIFT – mV
–0.5
OS
V
–1.0
–1.5
–2.0
MEAN + 3
MEAN – 3
TEMPERATURE – C
= 1 kW CL < 2 pF)
L
90806040200–2010–10305070–30–40
TPC 17. Buffer Input Offset Drift vs. Temperature
to Either Side of Mean)
(3
100
10nA
10
100nA
1
Vrms/ Hz
0.1
0.01
100
1k10k100k1M10M
TPC 15. Spot Noise Spectral Density at V
1A
100A
FREQUENCY – Hz
10A
OUT
(G = 1) vs. Frequency for IPD in Decade Steps from
10 nA to 1 mA
6
5
4
3
mVrms
2
1
0
100n1101001m10m
10n
IPD – A
TPC 18. Total Wideband Noise Voltage
at V
vs. IPD (G = 1)
OUT
REV. A–6–
AD8305
TEMPERATURE – C
20
V
REF
DRIFT – mV
15
10
5
0
–5
–10
–15
90806040200–2010–10305070–30–40
–20
MEAN + 3
MEAN – 3
–25
TEMPERATURE – C
5
V
INPT
DRIFT – mV
4
3
2
1
0
–1
–2
90806040200–2010–10305070–30–40
–3
MEAN + 3
MEAN – 3
–4
–5
2.0
1.5
1.0
0.5
0
–0.5
ERROR – dB(10mV/dB)
–1.0
–1.5
–2.0
1n
10n100n1101001m10m
MEAN + 3
MEAN – 3
– A
I
PD
TA = 25C
TPC 19. Law Conformance Error Distribution
(3 to Either Side of Mean)
2.0
1.5
1.0
0.5
0
–0.5
ERROR – dB(10mV/dB)
–1.0
–1.5
MEAN + 3 @ 70C
MEAN 3 @ 0C
MEAN – 3 @ 70C
TA = 0C, 70C
TPC 22. V
REF
Side of Mean)
20
15
10
5
0
–5
DRIFT – mV
–10
–15
Drift vs. Temperature (3 to Either
MEAN + 3
MEAN – 3
ERROR – dB(10mV/dB)
REV. A
–2.0
1n10n100n1101001m10m
IPD – A
TPC 20. Law Conformance Error Distribution
(3 to Either Side of Mean)
4
3
2
1
0
–1
–2
–3
–4
1n
MEAN + 3 @ –40C
MEAN
3 @ +85C
MEAN – 3 @ –40C
10n100n1101001m10m
IPD – A
T
= –40C, +85C
A
TPC 21. Law Conformance Error Distribution
(3 to Either Side of Mean)
–7–
–20
TEMPERATURE – C
TPC 23. V
REF
– V
Drift vs. Temperature
IREF
(3 to Either Side of Mean)
TPC 24. V
Drift vs. Temperature (3 to Either
INPT
Side of Mean)
90806040200–2010–10305070–30–40
AD8305
10
8
6
4
2
0
–2
–4
Vy DRIFT – mV/dec
–6
–8
–10
MEAN + 3
MEAN – 3
90806040200–2010–10305070–30–40
TEMPERATURE – C
TPC 25. Slope Drift vs. Temperature (3 to Either
Side of Mean of 200 mV/decade)
350
250
150
50
MEAN + 3
4000
3500
3000
2500
2000
COUNT
1500
1000
500
0
0.4
0.60.81.01.21.41.6
INTERCEPT – nA
TPC 28. Distribution of Logarithmic Intercept (Nominally
1 nA when R
7000
6000
5000
4000
= 200 kW ± 0.1%) Sample >22,000
REF
–50
Iz DRIFT – pA
–150
–250
–350
MEAN – 3
TEMPERATURE – C
TPC 26. Intercept Drift vs. Temperature (3 to
Either Side of Mean of 1 nA)
6000
5000
4000
3000
COUNT
2000
1000
0
190195200205210
SLOPE – mV/dec
COUNT
3000
2000
1000
90806040200–2010–10305070–30–40
85
TPC 29. Distribution of V
0
2.44
6000
5000
4000
3000
COUNT
2000
1000
0
–0.015
2.462.482.502.522.542.56
–0.010–0.0050.00.0050.0100.015
V
– V
REF
(RL = 100 kW) Sample >22,000
REF
V
– V
INPT
VOLTA G E – V
SUM
TPC 27. Distribution of Logarithmic Slope
(Nominally 200 mV/decade) Sample >22,000
TPC 30. Distribution of Offset Voltage (V
Sample >22,000
INPT
– V
SUM
REV. A–8–
)
AD8305
GENERAL STRUCTURE
The AD8305 addresses a wide variety of interfacing conditions
to meet the needs of fiber optic supervisory systems, and will
also be useful in many nonoptical applications. These notes
explain the structure of this unique style of translinear log amp.
Figure 1 is a simplified schematic showing the key elements.
PHOTODIODE
INPUT CURRENT
I
PD
INPT
0.5V
Q1
VNEG (NORMALLY GROUNDED)
BIAS
GENERATOR
2.5V
80k
20k
0.5V
VSUM
V
VREF
COMM
BE1
IREF
0.5V
Q2
I
REF
V
V
V
BE1
BE2
VRDZ
BE2
TEMPERATURE
COMPENSATION
(SUBTRACT AND
DIVIDE BY T K
44A/dec
14.2k
6.69k
451
COMM
VLOG
Figure 1. Simplified Schematic
The photodiode current IPD is received at Pin INPT. The
voltage at this node is essentially equal to those on the two
adjacent guard pins, VSUM and IREF, due to the low offset
voltage of the JFET op amp. Transistor Q1 converts the input
current I
Equation 1. A finite positive value of V
to a corresponding logarithmic voltage, as shown in
PD
is needed to bias
SUM
the collector of Q1 for the usual case of a single-supply voltage.
This is internally set to 0.5 V, that is, one fifth of the reference
voltage of 2.5 V appearing on Pin VREF. The resistance at the
VSUM pin is nominally 16 kW; this voltage is not intended as
a general bias source.
The AD8305 also supports the use of an optional negative supply
voltage, V
, at Pin VNEG. When VN is –0.5 V or more negative,
N
VSUM may be connected to ground; thus INPT and IREF
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
will need to be
REF
adjusted to maintain the intercept value. It should also be noted
that the collector-emitter voltages of Q1 and Q2 are now the full
, and effects due to self-heating will cause errors at large
V
N
input currents.
The input dependent V
of a second transistor, Q2, operating at I
V
BE2
of Q1 is compared with the reference
BE1
. This is gener-
REF
ated externally, to a recommended value of 10 mA. However,
other values over a several-decade range can be used with a
slight degradation in law conformance (TPC 1).
Theory
The base-emitter voltage of a BJT (bipolar junction transistor)
can be expressed by Equation 1, which immediately shows its
basic logarithmic nature:
VkTqII
=
//In
BEC S
where IC is its collector current, IS is a scaling current, typically
–17
only 10
A, and kT/qis the thermal voltage, proportional to
()
(1)
absolute temperature (PTAT) and is 25.85 mV at 300 K. The
current, I
, is never precisely defined and exhibits an even stron-
S
ger temperature 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
operating at a reference current I
VV kTqIIkTqII
–//–//
=
InIn
BE1BE2
=
=
()()
kT qII
In 10
()()
mVIITK
.log/
59 5300
, can be written as:
REF
CSREF S
/ log/
PD REF
10
()
PD REF
10
and the second
PD
(2)
=
()
The uncertain and temperature dependent saturation current IS,
which appears in Equation 1, has thus 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 currentmode, is an intermediate, temperature-corrected current:
II II
=
log/
LOGYPD REF
()
10
(3)
where IY is an accurate, temperature-stable scaling current that
determines the slope of the function (the change in current per
decade). For the AD8305, I
independent slope of 44 mA/decade, for all values of I
is 44 mA, resulting in a temperature-
Y
and I
PD
REF
.
This current is subsequently converted back to a voltage-mode
output, V
It is apparent that this output should be zero for I
, scaled 200 mV/decade.
LOG
PD
= I
REF
, and
would need to swing negative for smaller values of input current.
To avoid this, I
value of I
PD
would need to be as small as the smallest
REF
. However, it is impractical to use such a small refer-
ence current as 1 nA. Accordingly, an offset voltage is added to
to shift it upward by 0.8 V when Pin VRDZ is directly
V
LOG
connected to VREF. This has the effect of moving the intercept
to the left by four decades, from 10 mA to 1 nA:
II II
=
LOGYPD INTC
where I
INTC
log/
10
is the operational value of the intercept current. To
()
(4)
disable this offset, Pin VRDZ should be grounded, then the
intercept I
INTC
a negative V
is simply I
, a negative supply of sufficient value is required
LOG
. Since values of IPD < I
REF
INTC
result in
to accommodate this situation (discussed later).
The voltage V
is generated by applying I
LOG
to an internal
LOG
resistance of 4.55 kW, formed by the parallel combination of a
6.69 kW resistor to ground and the 14.2 kW resistor to the VRDZ
pin. When the VLOG pin is unloaded and the intercept repositioning is disabled by grounding VRDZ, the output current I
LOG
generates a voltage at the VLOG pin of:
VI
=¥
LOGLOG
=¥ ¥
=
455
.k
W
AI
444 55
VI
YREF
.k log/
WmI
log/
I
()
10
PD
()
10
PD
REF
(5)
where VY = 200 mV/decade, or 10 mV/dB. Note that any resistive
loading on VLOG will lower this slope and also result in an
overall scaling uncertainty due to the variability of the on-chip
resistors. Consequently, this practice is not recommended.
V
may also swing below ground when dual supplies (VP and
LOG
) are used. When VN = –0.5 V or larger, the input pins INPT
V
N
and IREF may now be positioned at ground level by simply
grounding VSUM.
REV. A
–9–
AD8305
Managing Intercept and Slope
When using a single supply, VRDZ should be directly connected
to VREF to allow operation over the entire five-decade input
current range. As noted previously, this introduces an accurate
offset voltage of 0.8 V at the VLOG pin, equivalent to four decades,
resulting in a logarithmic transfer function that can be written as:
VVII
=¥
LOGYPD REF
where I
INTC
log/
VII
log/
=
YPDINTC
= I
REF
Thus, the effective intercept current I
thousandth of I
REF
recommended value of I
The slope can be reduced by attaching a resistor to the VLOG
pin. This is strongly discouraged, in view of the fact that the
on-chip resistors will not ratio correctly to the added resistance.
Also, it is rare that one would want 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, which is provided to avoid such
miscalibration and also allow higher slopes to be used.
The AD8305 buffer is essentially an uncommitted op amp with
rail-to-rail output swing, good load-driving capabilities and a
unity-gain bandwidth of >12 MHz. In addition to allowing the
introduction of gain, using standard feedback networks and
thereby increasing the slope voltage V
to implement multipole low-pass filters, threshold detectors,
and a variety of other functions. Further details of these can be
found in the AD8304 data sheet.
Response Time and Noise Considerations
The response time and output noise of the AD8305 are fundamentally a function of the signal current I
the bandwidth is proportional to I
output low frequency voltage-noise spectral-density is a function
of IPD (TPC 15) and also increases for small values of I
Details of the noise and bandwidth performance of translinear
log amps can be found in the AD8304 Data Sheet.
APPLICATIONS
The AD8305 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, which is represented in decibel
terms. Basic connections for measuring a single-current input are
shown in Figure 2, which also includes various nonessential components, as will be explained.
4
10
()
10
()
10
4
/10
is only one ten-
INTC
(6)
, corresponding to 1 nA when using the
= 10 mA.
REF
, the buffer can be used
Y
. For small currents,
PD
, as shown in TPC 13.
PD
REF
The
.
I
451
COMM
10
VOUT
SCAL
BFIN
PD
( )
1nA
12k
8k
VLOG
C
FLT
10nF
200k
V
BIAS
1k
I
PD
1nF
VRDZ
VREF
IREF
1k
1nF
INPT
VSUM
1nF
0.5V
0.5V
20k
COMM
Q2
Q1
VNEG
80k
+5V
VPOS
GENERATOR
2.5V
V
BE2
–
TEMPERATURE
+
COMPENSATION
V
BE1
BIAS
14.2k
6.69k
COMM
I
LOG
0.5 log
Figure 2. Basic Connections for Fixed Intercept Use
The 2 V difference in voltage between the VREF and INPT pins
in conjunction with the external 200 kW resistor R
reference current I
of 10 mA into Pin IREF. Connecting pin
REF
provide a
REF
VRDZ to VREF raises the voltage at VLOG by 0.8 V, effectively
lowering the intercept current I
it at 1 nA. A wide range of other values for I
by a factor of 104 to position
INTC
, from under
REF
100 nA to over 1 mA, may be used. The effect of such changes
is shown in TPC 3.
Any temperature variation in R
must be taken into account
REF
when estimating the stability of the intercept. Also, the overall
noise will increase when using very low values of I
. In fixed-
REF
intercept applications, there is little benefit in using a large
reference current, since this only compresses the low current
end of the dynamic range when operated from a single supply,
here shown as 5 V. The capacitor between VSUM and ground
is recommended to minimize the noise on this node and to help
provide a clean reference current.
Since the basic scaling at VLOG is 0.2 V/decade, and thus a swing
of 4 V at the buffer output would correspond to 20 decades, it will
often be useful to raise the slope to make better use of the railto-rail voltage range. For illustrative purposes, the circuit in
Figure 2 provides an overall slope of 0.5 V/decade (25 mV/dB).
Thus, using I
to 1.4 V at I
PD
= 10 mA, V
REF
= 1 mA while the buffer output runs from 0.5 V to
runs from 0.2 V at IPD = 10 nA
LOG
3.5 V, corresponding to a dynamic range of 120 dB (electrical,
that is, 60 dB optical power).
The optional capacitor from VLOG to ground forms a single-pole
low-pass filter in combination with the 4.55 kW resistance at this
pin. For example, using a C
of 10 nF, the –3 dB corner
FLT
frequency is 3.5 kHz. Such filtering is useful in minimizing the
output noise, particularly when I
is small. Multipole filters are
PD
more effective in reducing the total noise; examples are provided
in the AD8304 data sheet.
REV. A–10–
AD8305
The dynamic response of this overall input system is influenced by
the external RC networks connected from the two inputs (INPT,
IREF) to ground. These are required to stabilize the input systems
over the full current range. The bandwidth changes with the
input current due to the widely varying pole frequency. The RC
network adds a zero to the input system to ensure stability over the
full range of input current levels. The network values shown in
Figure 2 will usually suffice, but some experimentation may be
necessary when the photodiode capacitance is high.
Although the two current inputs are similar, some care is needed
to operate the reference input at extremes of current (<100 nA)
and temperature (<0∞C). Modifying the RC network to 4.7 nF
and 2 kW will allow operation to –40∞C at 10 nA. By inspecting
the transient response to perturbations in I
at representative
REF
current levels, the capacitor value can be adjusted to provide fast
rise and fall times with acceptable settling. To fine tune the network zero, the resistor value should be adjusted.
CALIBRATION
The AD8305 has a nominal slope and intercept of 200 mV/decade
and 1 nA, respectively. These values are untrimmed and the
slope alone may vary as much as 7.5% over temperature. For
this reason, it is recommended that a simple calibration be done
to achieve increased accuracy.
1.4
1.2
1.0
0.8
– V
LOG
0.6
V
0.4
0.2
0
1n10n100n1101001m10m
UNCALIBRATED ERROR
MEASURED OUTPUT
CALIBRATED ERROR
IDEAL OUTPUT
IPD – A
4
3
2
1
0
–1
ERROR – dB(10mV/dB)
–2
–3
Figure 3. Using Two-Point Calibration to Increase
Measurement Accuracy
Figure 3 shows the improvement in accuracy when using a twopoint calibration method. To perform this calibration, apply two
known currents, I
10 nA and 1 mA. Measure the resulting output, V
and I2, in the linear operating range between
1
and V2,
1
respectively, and calculate the slope m and intercept b.
mVVII=
bV mI=¥
–/log– log
()()()
12101 102
–log
1101
[]
()
(7)
(8)
The same calibration could be performed with two known optical powers, P
and P2. This allows for calibration of the entire
1
measurement system while providing a simplified relationship
between the incident optical power and V
mVV PP=
bV mP=¥
–/–
()()
12 12
–
11
LOG
voltage.
(9)
(10)
The Uncalibrated Error line in Figure 3 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.
USING A NEGATIVE SUPPLY
Most applications of the AD8305 require only a single supply of
3.0 V to 5.5 V. However, to provide further versatility, dual
supplies may be employed, as illustrated in Figure 4.
I
VOUT
SCAL
BFIN
451
COMM
F
SIGMAX
10
( )
PD
1nA
12k
8k
VLOG
C
FLT
10nF
RREF
200k
V
BIAS
1k
1nF
I
PD
+
V
–
R
VRDZ
VREF
IREF
1k
1nF
INPT
VSUM
F
S
V
5V
VPOS
BIAS
2.5V
V
BE2
–
TEMPERATURE
+
COMPENSATION
V
BE1
£ –0.5V
V
NEG
C1
GENERATOR
80k
20k
0.5V
SIG
SIG
= IPD + I
COMM
Q2
Q1
VNEG
REF
0.5V
Iq + I
I
N
14.2k
6.69k
COMM
RS £
I
LOG
Iq + I
0.5 log
VN – V
Figure 4. Negative Supply Application
The use of a negative supply, VN, allows the summing node to
be placed at ground level whenever the input transistor (Q1 in
Figure 1) has a sufficiently negative bias on its emitter. When
= –0.5 V, the VCE of Q1 and Q2 will be the same as for
V
NEG
the default case when VSUM is grounded. This bias need not
be accurate, and a poorly defined source can be used. The
source does however need to be able to support the quiescent
current as well as the INPT and IREF signal current. For example,
it may be convenient to utilize a forward-biased junction voltage
of about 0.7 V or a Schottky barrier voltage of a little over 0.5 V.
The effect of supply on the dynamic range and accuracy can be
seen in TPC 8.
With the summing node at ground, the AD8305 may now be
used as a voltage-input log amp at either the numerator input,
INPT, or the denominator input, IREF, by inserting a suitably
scaled resistor from the voltage source to the relevant pin. The
overall accuracy for small input voltages is limited by the voltage
offset at the inputs of the JFET op amps.
The use of a negative supply also allows the output to swing
below ground, thereby allowing the intercept to correspond to a
midrange value of I
. However, the voltage V
PD
remains
LOG
referenced to the ACOM pin, and while it does not swing negative for default operating conditions, it is free to do so. Thus,
adding a resistor from VLOG to the negative supply lowers
all values of VLOG, which raises the intercept. The disadvantage of this method is that the slope is reduced by the shunting
of the external resistor, and the poorly defined ratio of onchip and off-chip resistances causes errors in both the slope
and the intercept.
REV. A
–11–
AD8305
REFERENCE
DETECTOR
+5V
SIGNAL
DETECTOR
+5V
Q2
Q1
80k
2.5 V
VPOS
GENERATOR
V
BE2
–
TEMPERATURE
+
COMPENSATION
V
BE1
BIAS
14.2k
6.69k
COMM
I
LOG
VOUT
451
VLOG
COMM
SCAL
BFIN
44.2k
28.0k
33nF
12.1k
18nF
0.5 log
10
( )
I
I
REF
PD
+ 2
VRDZ
SIG
REF
1k
1k
1nF
VREF
1nF
VSUM
IREF
I
REF
I
PD
INPT
0.5V
20k
COMM
0.5V
VNEG
P
P
Figure 5. Optical Absorbance Measurement
LOG-RATIO APPLICATIONS
It is often desirable to determine the ratio of two currents, for
example, in absorbance measurements. These are commonly used
to assess the attenuation of a passive optical component, such as
an optical filter or variable optical attenuator. In these situations,
a reference detector is used to measure the incident power entering the component. The exiting power is then measured using a
second detector and the ratio is calculated to determine the
attenuation factor. Since the AD8305 is fundamentally a ratiometric
device, having nearly identical logging systems for both numerator
and denominator (I
and I
PD
, respectively), it can greatly
REF
simplify such measurements.
Figure 5 illustrates the AD8305’s log-ratio capabilities in optical
absorbance measurements. Here a reference detector diode is used
to provide the reference current, I
, proportional to the optical
REF
reference power level. A second detector measures the transmitted
signal power, proportional to I
. The AD8305 calculates the
PD
logarithm of the ratio of these two currents, as shown in
Equation 11, and which is reformulated in power terms in
Equation 12. Both of these equations include the internal factor
of 10,000 introduced by the output offset applied to V
LOG
via pin
VRDZ. If the true (nonoffset) log ratio shown in Equation 4 is
preferred, VRDZ should be grounded to remove the offset. As
already noted, the use of a negative supply at Pin VNEG will
allow both V
and the buffer output to swing below ground,
LOG
and also allow the input pins INPT and IREF to be set to
ground potential. Thus, the AD8305 may also be used to determine the log ratio of two voltages.
Figure 5 also illustrates how a second order Sallen-Key low-pass
filter can be realized using two external capacitors and one
resistor. Here, the corner frequency is set to 1 kHz and the filter
Q is chosen to provide an optimally flat (overshoot-free) pulse
response. To scale this frequency either up or down, simply
scale the capacitors by the appropriate factor. Note that one of
the resistors needed to realize this filter is the output resistance
of 4.55 kW present at Pin VLOG. While this will not ratio
exactly to the external resistor, which may slightly alter the Q of
the filter, the effect on pulse response will be negligible for most
purposes. Note that the gain of the buffer (⫻2.5) is an integral
part of this illustrative filter design; in general, the filter may be
redesigned for other closed-loop gains.
The transfer characteristics can be expressed in terms of optical
power. If we assume that the two detectors have equal responsivities,
the relationship is
VV PP
=¥
0510
OUTSIG REF
.log/
4
()
10
(11)
Using the identity log10(AB) = log10A + log10B and defining the
/ P
attenuation as –10 ⫻ log
10(PSIG
), the overall transfer char-
REF
acteristic can be written as
VmVdB
=¥250–a
OUT
where
a=¥–log ()10
PP
10
SIGREF
(12)
Figure 6 illustrates the linear-in-dB relationship between the
absorbance and the output of the circuit in Figure 5.
2.5
2.0
1.5
– V
LOG
V
1.0
0.5
0
0505
1015202530354045
ATTENUATION – dB
Figure 6. Example of an Absorbance Transfer Function
Some applications may require interfacing to a circuit that
sources current rather than sinks current, such as connecting to
the cathode side of a photodiode. Figure 7 shows the use of a
current mirror circuit. This allows for simultaneous monitoring
of the optical power at the cathode, and a data recovery path
using a transimpedance amplifier at the anode. The modified
Wilson mirror provides a current gain very close to unity and a
high output resistance. Figure 8 shows measured transfer function
and law conformance performance of the AD8305 in conjunction with this current mirror interface.
5V
MAT03
MAT03
I
PD
0.1F
1k
1nF
TIA
2.5V
200k
1nF
I
IN⬇IPD
10nA TO 1mA
1
2
0V
3
0V
4
DATA PATH
16 15 14 13
COMM COMM COMM COMM
VRDZ
VREF
AD8305
IREF
INPT
VSUM VNEG VNEG VPOS
5 6 7 8
0.1F
VOUT
SCAL
BFIN
VLOG
5V
V
log
OUT
= 0.2
10 (IPD
OUTPUT
12
11
10
9
/1nA)
Figure 7. Wilson Current Mirror for Cathode Interfacing
1.6
1.4
1.00
0.75
These measures are needed to minimize the risk of leakage
current paths. With 0.5 V as the nominal bias on the INPT pin,
a leakage-path resistance of 1 GW to ground would subtract
0.5 nA from the input, which amounts to an error of –0.44 dB for
a source current of 10 nA. Additionally, the very high output
resistance 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 reduce the pickup of these spurious signals.
Figure 9. Primary Characterization Setup
The primary characterization setup shown in Figure 9 is used to
measure V
, the static (dc) performance, logarithmic conform-
REF
ance, slope and intercept, the voltages appearing at pins VSUM,
INPT and IREF, and the buffer offset and V
drift with temper-
REF
ature. To ensure stable operation over the full current range of
and temperature extremes, filter components of C1 = 4.7 nF
I
REF
and R13 = 2 kW are used at pin to IREF ground. In some cases,
a fixed resistor between pins VREF and IREF was used in place
of a precision current source. For the dynamic tests, including
noise and bandwidth measurements, more specialized setups
are required.
CHARACTERIZATION METHODS
During the characterization of the AD8305, the device was
treated as a precision current-input logarithmic converter, since
it is not practical for several reasons to generate accurate photocurrents by illuminating a photodiode. The test currents were
generated either by using well calibrated current sources, such
as the Keithley 236, or by using 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.
REV. A
1.2
1.0
– V
0.8
LOG
V
0.6
0.4
+3V
+5V
0.2
0
1n10n100n1101001m10m
5V
IPD – A
+5V
+3V
5V
Figure 8. Log Output and Error Using Current
Mirror with Various Supplies
0.50
0.25
0
–0.25
ERROR – dB(10mV/dB)
–0.50
–0.75
–1.00
Figure 10. Configuration for Buffer Amplifier
Bandwidth Measurement
Figure 10 shows the configuration used to measure the buffer
amplifier bandwidth. The AD8138 evaluation board includes
–13–
AD8305
provisions to offset V
ments over the full range of I
at the buffer input, allowing measure-
LOG
using a single supply. The network
PD
analyzer input impedances were set to 1 MW.
HP 3577A
NETWORK ANALYZER
AD8138
+IN
EVALUATION
BOARD
OUTPUT
POWER
SPLITTER
INPUT RINPUT AINPUT B
1
2
R2
1nF
B
A
1k
1nF
R1
1k
3
4
16 15 14 13
COMM COMM COMM COMM
VRDZ
VREF
AD8305
IREF
INPT
VSUM VNEG VNEG VPOS
5 6 7 8
VOUT
SCAL
BFIN
VLOG
0.1F
12
11
10
9
+V
S
Figure 11. Configuration for Logarithmic
Amplifier Bandwidth Measurement
The setup shown in Figure 11 was used for frequency response
measurements of the logarithmic amplifier section. The AD8138
output is offset to 1.5 V dc and modulated to a depth of 5% at
frequency. R1 is chosen (over a wide range of values up to
1.0 GW) to provide I
. The buffer was used to deload VLOG
PD
from the measurement system.
HP 89410A
SOURCE
TRIGGER CHANNEL 1 CHANNEL 2
The configuration in Figure 12 is used to measure the noise
performance. Batteries provide both the supply voltage and the
input current in order to minimize the introduction of spurious
noise and ground loop effects. The entire evaluation system,
including the current setting resistors, is mounted in a closed
aluminum enclosure to provide additional shielding to external
noise sources.
LECROY 9210
CH A
9213
200k
1nF
R1
1k
1nF
1k
16 15 14 13
COMM COMM COMM COMM
VRDZ
1
VREF
2
AD8305
3
IREF
4
INPT
VSUM VNEG VNEG VPOS
5 6 7 8
TDS5104
VOUT
SCAL
BFIN
VLOG
12
11
10
9
0.1F
CH1
+V
S
Figure 13. Configuration for Logarithmic
Amplifier Pulse Response Measurement
Figure 13 shows the setup used to make the pulse response
measurements. As with the bandwidth measurement, the VLOG
is connected directly to BFIN and the buffer amplifier is configured for unity gain. The buffer’s output is connected through a
short cable to the TDS5104 scope with input impedance set to
1 MW. The LeCroy’s output is offset to create the initial pedestal
current for a given value of R1, the pulse then creates one-decade
current step.
16 15 14 13
COMM COMM COMM COMM
VRDZ
1
VREF
ALKALINE
“D” CELL
1k
2
3
IREF
4
INPT
200k
1nF
R1
+
–
1k
1nF
AD8305
VSUM VNEG VNEG VPOS
5 6 7 8
Figure 12. Configuration for Noise Spectral
Density Measurement
VOUT
SCAL
BFIN
VLOG
12
11
10
9
0.1F
ALKALINE
“D” CELL
+
–
+
–
+
–
EVALUATION BOARD
An evaluation board is available for the AD8305, the schematic
for which is shown in Figure 16. It can be configured for a wide
variety of experiments. The buffer gain is factory-set to unity,
providing a slope of 200 mV/decade, and the intercept is set to 1 nA.
Table I describes the various configuration options.
REV. A–14–
AD8305
Table I. Evaluation Board Configuration Options
ComponentFunctionDefault Condition
P1Supply Interface. Provides access to supply pins, VNEG, COMM, and VPOS. P1 = Installed
P2, R8, R9, R10,
R11, R17, R18the VRDZ, VREF, VSUM, VOUT, and VLOG pin voltages can be monitored
R2, R3, R4, R6, R14, Buffer Amplifier/Output Interface. The logarithmic slope of the AD8305R2 = R6 = 0 W (Size 0603)
C2, C7, C9, C10can be altered using the buffer’s gain-setting resistors,
R1, R7, R19, R20Intercept Adjustment. The voltage dropped across resistor R1 determines theR1 = 200 kW (Size 0603)
IREF, INPT, PD,Input Interface. The test board is configured to accept a current through theIREF = INPT = Installed
LK1, R5SMA connector labeled INPT. An SC-style packaged photodiode can bePD = Not Installed
J1SC-Style Photodiode. Allows for direct mounting of SC style photodiodes.J1 = Not Installed
Monitor Interface. By adding 0 W resistors to R8, R9, R10, R11, R17,
using a high impedance probe.
R2 and R3. R4, R14,
and C2 allow variation in the buffer loading.
provided for a variety of filtering applications.C2 = C7 = Open (Size 0603)
intercept reference current, nominally set to 10 mA using a 200 kW 1% resistor.R7 = R19 = 0 W (Size 0603)
R7 and R19 can be used to adjust the output-offset voltage at the VLOG output. R20 = Open (Size 0603)
INPT and IREF.C1 = C8 = 1 nF (Size 0603)
used in place of the INPT SMA for optical interfacing. By removing R1 andLK1 = Installed
adding a 0 W short for R5, a second current can be applied to the IREF inputR5 = Open (Size 0603)
(also SMA) for evaluating the AD8305 in log-ratio applications.
R6, C7, C9, and C10 are
and R18, P2 = Not Installed
R8 = R9 = R10 = Open (Size 0603)
R17 = R18 = Open (Size 0603)
R3 = R4 = Open (Size 0603)
R11 = R14 = 0 W (Size 0603)