LOG104AIDRE4 [TI]

LOG OR ANTILOG AMPLIFIER, 0.01MHz BAND WIDTH, PDSO8, ROHS COMPLIANT, PLASTIC, MS-012AA, SOIC-8;
LOG104AIDRE4
型号: LOG104AIDRE4
厂家: TEXAS INSTRUMENTS    TEXAS INSTRUMENTS
描述:

LOG OR ANTILOG AMPLIFIER, 0.01MHz BAND WIDTH, PDSO8, ROHS COMPLIANT, PLASTIC, MS-012AA, SOIC-8

放大器 光电二极管
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LOG104  
L
O
G
1
0
4
SBOS243C – MAY 2002 – REVISED APRIL 2005  
Precision  
LOGARITHMIC AND LOG RATIO AMPLIFIER  
DESCRIPTION  
FEATURES  
The LOG104 is a versatile integrated circuit that computes  
the logarithm or log ratio of an input current relative to a  
reference current.  
EASY-TO-USE COMPLETE CORE FUNCTION  
HIGH ACCURACY: 0.01% FSO Over 5 Decades  
WIDE INPUT DYNAMIC RANGE:  
The LOG104 is tested over a wide dynamic range of input  
signals. In log ratio applications, a signal current can come  
from a photodiode, and a reference current from a resistor in  
series with a precision external reference.  
7.5 Decades, 100pA to 3.5mA  
LOW QUIESCENT CURRENT: 1mA  
WIDE SUPPLY RANGE: ±4.5V to ±18V  
The output signal at VOUT is trimmed to 0.5V per decade of  
input current, allowing seven decades of input current, dy-  
namic range.  
APPLICATIONS  
LOG, LOG RATIO COMPUTATION:  
Communication, Analytical, Medical, Industrial,  
Test, General Instrumentation  
Low DC offset voltage and temperature drift allow accurate  
measurement of low-level signals over a wide environmental  
temperature range. The LOG104 is specified over the tem-  
perature range –5°C to +75°C, with operation over –40°C to  
+85°C.  
PHOTODIODE SIGNAL COMPRESSION AMP  
ANALOG SIGNAL COMPRESSION IN FRONT  
Note: Protected under US Patent #6,667,650; other patents pending.  
OF ANALOG-TO-DIGITAL(A/D) CONVERTER  
I2  
CC  
VOUT = 0.5 LOG (I1/I2)  
V+  
4
8
I1  
LOG104  
1
Q1  
Q2  
3
A2  
A1  
VOUT  
R2  
R1  
5
6
GND  
V–  
Please be aware that an important notice concerning availability, standard warranty, and use in critical applications of  
Texas Instruments semiconductor products and disclaimers thereto appears at the end of this data sheet.  
All trademarks are the property of their respective owners.  
PRODUCTION DATA information is current as of publication date.  
Products conform to specifications per the terms of Texas Instruments  
standard warranty. Production processing does not necessarily include  
testing of all parameters.  
Copyright © 2002-2005, Texas Instruments Incorporated  
www.ti.com  
ABSOLUTE MAXIMUM RATINGS(1)  
Supply Voltage, V+ to V.................................................................... 36V  
ELECTROSTATIC  
DISCHARGE SENSITIVITY  
This integrated circuit can be damaged by ESD. Texas Instru-  
ments recommends that all integrated circuits be handled with  
appropriate precautions. Failure to observe proper handling  
and installation procedures can cause damage.  
Input Voltage ....................................................... V(0.5) to V+ (+0.5V)  
Input Current................................................................................... ±10mA  
Output Short-Circuit(2) .............................................................. Continuous  
Operating Temperature ....................................................40°C to +85°C  
Storage Temperature .....................................................55°C to +125°C  
Junction Temperature .................................................................... +150°C  
Lead Temperature (soldering, 10s) ............................................... +300°C  
ESD damage can range from subtle performance degrada-  
tion to complete device failure. Precision integrated circuits  
may be more susceptible to damage because very small  
parametric changes could cause the device not to meet its  
published specifications.  
NOTES: (1) Stresses above these ratings may cause permanent damage.  
Exposure to absolute maximum conditions for extended periods may degrade  
device reliability. (2) Short-circuit to ground.  
PIN DESCRIPTION  
Top View  
SO  
I1  
NC  
1
2
3
4
8
7
6
5
I2  
NC  
GND  
V–  
LOG104  
VOUT  
V+  
NC = No Internal Connection  
PACKAGE/ORDERING INFORMATION(1)  
PACKAGE  
DESIGNATOR  
PACKAGE  
MARKING  
PRODUCT  
PACKAGE-LEAD  
SO-8  
LOG104AID  
D
LOG104  
NOTES: (1) For the most current package and ordering information, see the Package Option Addendum at the end of this document, or see the TI website at  
www.ti.com.  
ELECTRICAL CHARACTERISTICS  
Boldface limits apply over the specified temperature range, TA = 5°C to +75°C.  
At TA = +25°C, VS = ±5V, ROUT = 10k, unless otherwise noted.  
LOG104AID  
PARAMETER  
CONDITION  
MIN  
TYP  
MAX  
UNITS  
CORE LOG FUNCTION  
I
IN /VOUT Equation  
VO = (0.5V)log (I1/I2)  
V
LOG CONFORMITY ERROR(1)  
Initial  
1nA to 100µA (5 decades)  
100pA to 3.5mA (7.5 decades)  
1nA to 100µA (5 decades)  
0.01  
0.06  
0.0001  
0.0005  
0.2  
%
%
%/°C  
%/°C  
over Temperature  
100pA to 3.5mA (7.5 decades)(2)  
GAIN(3)  
Initial Value  
Gain Error  
vs Temperature  
1nA to 100µA  
1nA to 100µA  
TMIN to TMAX  
0.5  
0.15  
0.003  
V/decade  
%
%/°C  
±1  
0.01  
INPUT, A1 and A2  
Offset Voltage  
±0.3  
±2  
5
±5  
±1.5  
mV  
µV/°C  
µV/V  
pA  
vs Temperature  
vs Power Supply (PSRR)  
Input Bias Current  
vs Temperature  
Voltage Noise  
TMIN to TMAX  
VS = ±4.5V to ±18V  
50  
TMIN to TMAX  
f = 10Hz to 10kHz  
f = 1kHz  
Doubles Every 10°C  
3
30  
4
µVrms  
nV/Hz  
fA/Hz  
V
V
dB  
Current Noise  
Common-Mode Voltage Range (Positive)  
(Negative)  
f = 1kHz  
(V+) 2  
(V) + 2  
(V+) 1.5  
(V) + 1.2  
105  
Common-Mode Rejection Ratio (CMRR)  
OUTPUT, A2 (VOUT  
)
Output Offset, VOSO, Initial  
vs Temperature  
Full-Scale Output (FSO)  
Short-Circuit Current  
±3  
±2  
±15  
mV  
µV/°C  
V
TMIN to TMAX  
VS = ±5V  
(V) + 1.2  
(V+) 1.5  
±18  
mA  
LOG104  
2
www.ti.com  
SBOS243C  
ELECTRICAL CHARACTERISTICS (Cont.)  
Boldface limits apply over the specified temperature range, TA = 5°C to +75°C.  
At TA = +25°C, VS = ±5V, RL = 10k, unless otherwise noted.  
LOG104AID  
PARAMETER  
CONDITION  
MIN  
TYP  
MAX  
UNITS  
TOTAL ERROR(4)(5)  
Initial  
I1 or I2 remains fixed while other varies.  
Min to Max  
I1 or I2 = 3.5mA  
I1 or I2 = 1mA  
I1 or I2 = 100µA  
I1 or I2 = 10µA  
I1 or I2 = 1µA  
I1 or I2 = 100nA  
I1 or I2 = 10nA  
I1 or I2 = 1nA  
I1 or I2 = 350pA  
I1 or I2 = 100pA  
I1 or I2 = 3.5mA  
I1 or I2 = 1mA  
I1 or I2 = 100µA  
I1 or I2 = 10µA  
I1 or I2 = 1µA  
I1 or I2 = 100nA  
I1 or I2 = 10nA  
I1 or I2 = 1nA  
I1 or I2 = 350pA  
I1 or I2 = 100pA  
I1 or I2 = 3.5mA  
I1 or I2 = 1mA  
I1 or I2 = 100µA  
I1 or I2 = 10µA  
I1 or I2 = 1µA  
I1 or I2 = 100nA  
I1 or I2 = 10nA  
I1 or I2 = 1nA  
±75  
±20  
±20  
±20  
±20  
±20  
±20  
±20  
±20  
±20  
mV  
mV  
mV  
mV  
mV  
mV  
mV  
mV  
mV  
mV  
vs Temperature  
±1.2  
±0.4  
±0.1  
±0.05  
±0.05  
±0.09  
±0.2  
±0.3  
±0.1  
±0.3  
±3.0  
±0.1  
±0.1  
±0.1  
±0.1  
±0.1  
±0.1  
±0.25  
±0.1  
±0.1  
mV/°C  
mV/°C  
mV/°C  
mV/°C  
mV/°C  
mV/°C  
mV/°C  
mV/°C  
mV/°C  
mV/°C  
mV/V  
mV/V  
mV/V  
mV/V  
mV/V  
mV/V  
mV/V  
mV/V  
mV/V  
mV/V  
vs Supply  
I1 or I2 = 350pA  
I1 or I2 = 100pA  
FREQUENCY RESPONSE, CORE LOG(6)  
BW, 3dB  
I2 = 10nA  
I2 = 1µA  
I2 = 10µA  
I2 = 1mA  
CC = 4500pF  
CC = 150pF  
CC = 150pF  
CC = 50pF  
0.1  
38  
40  
45  
kHz  
kHz  
kHz  
kHz  
Step Response  
Increasing  
I2 = 1µA to 1mA  
I2 = 100nA to 1µA  
I2 = 10nA to 100nA  
Decreasing  
CC = 150pF  
CC = 150pF  
CC = 150pF  
11  
7
110  
µs  
µs  
µs  
I2 = 1mA to 1µA  
I2 = 1µA to 100nA  
I2 = 100nA to 10nA  
CC = 150pF  
CC = 150pF  
CC = 150pF  
45  
20  
550  
µs  
µs  
µs  
POWER SUPPLY  
Operating Range  
Quiescent Current  
VS  
IO = 0  
±4.5  
±18  
±1.5  
V
mA  
±1  
TEMPERATURE RANGE  
Specified Range, TMIN to TMAX  
Operating Range  
5  
40  
55  
75  
85  
125  
°C  
°C  
°C  
Storage Range  
Thermal Resistance, θJA SO-8  
150  
°C/W  
NOTES:(1) Log Conformity Error is peak deviation from the best-fit straight line of VOUT versus log (I1/I2) curve expressed as a percent of peak-to-peak full-scale.  
(2) May require higher supply for full dynamic range.  
(3) Output core log function is trimmed to 0.5V output per decade change of input current.  
(4) Worst-case Total Error for any ratio of I1/I2 is the largest of the two errors, when I1 and I2 are considered separately.  
(5) Total I1 + I2 should be kept below 4.5mA on ±5V supply.  
(6) Bandwidth (3dB) and transient response are a function of both the compensation capacitor and the level of input current.  
LOG104  
SBOS243C  
3
www.ti.com  
TYPICAL CHARACTERISTICS  
At TA = +25°C, VS = ±5V, RL = 10k, unless otherwise noted.  
ONE CYCLE OF NORMALIZED TRANSFER FUNCTION  
NORMALIZED TRANSFER FUNCTION  
2.0  
0.50  
0.45  
0.40  
0.35  
0.30  
0.25  
0.20  
0.15  
0.10  
0.05  
0.00  
VOUT = 0.5V LOG (I1/I2)  
1.5  
1.0  
0.5  
0.0  
0.5  
1.0  
1.5  
2.0  
1
2
3
4
6
8
10  
0.0001 0.001 0.01  
0.1  
1
10  
100  
1k  
10k  
Current Ratio, I1/I2  
Current Ratio, I1/I2  
GAIN ERROR (I2 = 1µA)  
+85°C  
TOTAL ERROR vs INPUT CURRENT  
120  
100  
80  
60  
40  
20  
0
5.8  
4.8  
3.8  
2.8  
1.8  
0.8  
+75°C  
+75°C  
+25°C  
5°C to 40°C  
+25°C 5°C  
0.2  
100pA 1nA 10nA 100nA 1µA 10µA 100µA 1mA 10mA  
100pA 1nA 10nA 100nA 1µA 10µA 100µA 1mA 10mA  
Input Current (I1 or I2)  
Input Current (I1 or I2)  
3dB FREQUENCY RESPONSE  
MINIMUM VALUE OF COMPENSATION CAPACITOR  
100M  
1M  
100k  
10k  
1k  
Select CC for I1 min.  
and I2 max. Values  
10µA  
100µA  
100µA  
1mA  
10M  
1M  
100k  
10k  
1k  
1µA  
below 2pF may be ignored.  
I1 = 100pA  
I
= 1mA  
1
100µA  
I1 = 1nA  
I1 = 10nA  
100µA  
1µA  
1nA  
10nA  
1mA  
to 10µA  
10nA  
I1 = 100nA  
100  
10  
100nA  
10nA  
I1 = 1nA  
1µA  
100  
10  
I = 1nA  
1
I1 = 10µA  
100µA  
1mA  
1
0.1  
1
100pA 1nA 10nA 100nA 1µA  
10µA 100µA 1mA  
100pA 1nA 10nA 100nA 1µA 10µA 100µA 1mA 10mA  
I2  
I2  
LOG104  
4
www.ti.com  
SBOS243C  
TYPICAL CHARACTERISTICS (Cont.)  
At TA = +25°C, VS = ±5V, RL = 10k, unless otherwise noted.  
LOG CONFORMITY vs TEMPERATURE  
LOG CONFORMITY vs INPUT CURRENT  
17  
350  
300  
250  
200  
150  
100  
50  
7 Decades  
(100pA to 1mA)  
15  
13  
+85°C  
11  
6 Decades  
(1nA to 1mA)  
9
7
+75°C  
5 Decades  
(1nA to 100µA)  
5
40°C to +25°C  
3
1
0
1  
40 30 20 10  
0
10 20 30 40 50 60 70 80 90  
100pA  
1nA 10nA 100nA 1µA  
10µA 100µA 1mA  
Temperature (°C)  
Input Current (I1 or I2)  
INPUT CURRENT RANGE  
APPLICATION INFORMATION  
To maintain specified accuracy, the input current range of the  
LOG104 should be limited from 100pA to 3.5mA. Input currents  
outside of this range may compromise LOG104 performance.  
Input currents larger than 3.5mA result in increased  
nonlinearity. An absolute maximum input current rating of  
±10mA is included to prevent excessive power dissipation that  
may damage the logging transistor.  
The LOG104 is a true logarithmic amplifier that uses the  
base-emitter voltage relationship of bipolar transistors to  
compute the logarithm, or logarithmic ratio of a current ratio.  
Figure 1 shows the basic connections required for operation  
of the LOG104. In order to reduce the influence of lead  
inductance of power-supply lines, it is recommended that  
each supply be bypassed with a 10µF tantalum capacitor in  
parallel with a 1000pF ceramic capacitor, as shown in  
Figure 1. Connecting the capacitors as close to the LOG104  
as possible will contribute to noise reduction as well.  
On ±5V supplies, the total input current (I1 + I2) is limited to  
4.5mA. Due to compliance issues internal to the LOG104, to  
accommodate larger total input currents, supplies should be  
increased.  
Currents smaller than 100pA will result in increased errors due  
the input bias currents of op amps A1 and A2 (typically 5pA).  
The input bias currents may be compensated for, as shown in  
Figure 2. The input stages of the amplifiers have FET inputs,  
with input bias current doubling every 10°C, which makes the  
nulling technique shown practical only where the temperature  
is fairly stable.  
V+  
10µF  
1000pF  
4
1
6
R2  
10kΩ  
3
V–  
VOUT  
LOG104  
V+  
R1  
1MΩ  
8
5
1
8
3
6
5
VOUT  
I1  
I2  
I1  
CC  
LOG104  
GND  
10µF  
1000pF  
R1'  
> 1MΩ  
4
I2  
V–  
CC  
V–  
R2'  
10kΩ  
V+  
FIGURE 1. Basic Connections of the LOG104.  
FIGURE 2. Bias Current Nulling.  
LOG104  
SBOS243C  
5
www.ti.com  
SETTING THE REFERENCE CURRENT  
V+  
V+  
When the LOG104 is used to compute logarithms, either I1 or  
I2 can be held constant and becomes the reference current to  
which the other is compared.  
I1 = 2.5nA to 1mA  
4
2.5V  
1
3
REF3025  
VOUT  
1Gto 2.5kΩ  
LOG104  
100kΩ  
100Ω  
V
OUT is expressed as:  
I
2 = 2.5nA  
1MΩ  
8
VOUT = (0.5V) log (I1/I2)  
(1)  
+2.5mV  
3
5
6
GND  
IREF can be derived from an external current source (such as  
shown in Figure 3), or it may be derived from a voltage  
source with one or more resistors. When a single resistor is  
used, the value may be large depending on IREF. If IREF is  
10nA and +2.5V is used:  
+2.5V  
CC  
V–  
OPA335 Chopper Op Amp  
2.5V  
(2)  
RREF = 2.5V/10nA = 250M  
FIGURE 5. Current Source with Offset Compensation.  
IREF  
2N2905  
at different levels of input signals. Smaller input currents  
require greater gain to maintain full dynamic range, and will  
slow the frequency response of the LOG104.  
RREF  
3.6k  
2N2905  
+15V  
15V  
6V  
IN834  
6V  
FREQUENCY COMPENSATION  
IREF  
=
RREF  
Frequency compensation for the LOG104 is obtained by  
connecting a capacitor between pins 3 and 8. The size of the  
capacitor is a function of the input currents, as shown in the  
Typical Characteristic Curves (Minimum Value of Compen-  
sation Capacitor). For any given application, the smallest  
value of the capacitor which may be used is determined by  
the maximum value of I2 and the minimum value of I1. Larger  
values of CC will make the LOG104 more stable, but will  
reduce the frequency response.  
FIGURE 3. Temperature Compensated Current Source.  
A voltage divider may be used to reduce the value of the  
resistor (as shown in Figure 4). When using this method, one  
must consider the possible errors caused by the amplifiers  
input offset voltage. The input offset voltage of amplifier A1  
has a maximum value of 1.5mV, making VREF a suggested  
value of 100mV.  
In an application, highest overall bandwidth can be achieved  
by detecting the signal level at VOUT, then switching in  
appropriate values of compensation capacitors.  
VREF = 100mV  
R1 R3  
VOS  
+
1
+5V  
NEGATIVE INPUT CURRENTS  
A1  
IREF  
R2  
The LOG104 will function only with positive input currents  
(conventional current flows into pins 1 and 8). In situations  
where negative input currents are needed, the circuits in  
Figures 6, 7, and 8 may be used.  
R3 >> R2  
FIGURE 4. T Network for Reference Current.  
Figure 5 shows a low-level current source using a series  
resistor. The low offset op-amp reduces the effect of the  
LOG104s input offset voltage.  
QA  
QB  
IIN  
National  
LM394  
FREQUENCY RESPONSE  
The frequency response curves seen in the Typical Charac-  
teristics Curves are shown for constant DC I1 and I2 with a  
small-signal AC current on one input.  
D1  
D2  
The 3dB frequency response of the LOG104 is a function of  
the magnitude of the input current levels and of the value of the  
frequency compensation capacitor. See Typical Characteristic  
Curve, 3dB Frequency Response for details.  
OPA703  
IOUT  
The transient response of the LOG104 is different for in-  
creasing and decreasing signals. This is due to the fact that  
a log amp is a nonlinear gain element and has different gains  
FIGURE 6. Current Inverter/Current Source.  
LOG104  
6
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SBOS243C  
VOLTAGE INPUTS  
V+  
The LOG104 gives the best performance with current inputs.  
Voltage inputs may be handled directly with series resistors,  
but the dynamic input range is limited to approximately three  
decades of input voltage by voltage noise and offsets. The  
transfer function of Equation (13) applies to this configuration.  
4
I1  
1
8
3
6
VOUT  
D1  
Sample  
λ1´  
LOG104  
λ1  
I2  
+5V  
λ1  
Light  
Source  
5
1
2
D2  
OPA2335  
TLV271 or  
+3.3V(1)  
1/2 OPA2335  
CC  
1.5kΩ  
V–  
1.5kΩ  
+5V  
FIGURE 9. Absorbance Measurement.  
BSH203  
1/2 OPA2335  
(Back Bias  
+3.3V)  
10nA to 1mA  
OPERATION ON SINGLE SUPPLY  
LOG104  
10nA to 1mA  
Pin 1 or Pin 8  
Many applications do not have the dual supplies required to  
operate the LOG104. Figure 10 shows the LOG104 config-  
ured for operation with a single +5V supply.  
Photodiode  
NOTE: (1) +3.3V bias is an arbitrary dc level < 5V that also  
appears on the IN through the op amp where it  
applies a reverse bias to the photodiode.  
FIGURE 7. Precision Current Inverter/Current Source.  
Single Supply +5V  
4
3
1
VOUT  
APPLICATION CIRCUITS  
LOG RATIO  
I1  
LOG104  
One of the more common uses of log ratio amplifiers is  
to measure absorbance. A typical application is shown in  
Figure 9.  
6
8
5
I2  
Absorbance of the sample is A = logλ1´/ λ1  
(3)  
CC  
1µF  
If D1 and D2 are matched A (0.5V) logI1/I2  
(4)  
3
5
2
1
TPS(1)  
4
5V  
DATA COMPRESSION  
1µF  
1µF  
In many applications the compressive effects of the logarith-  
mic transfer function are useful. For example, a LOG104  
preceding a 12-bit A/D converter can produce the dynamic  
range equivalent to a 20-bit converter.  
(1) TPS60402DBV negative charge pump.  
FIGURE 10. Single +5V Power-Supply Operation.  
1.5kΩ  
100kΩ  
100kΩ  
+5V  
10nA to 1mA  
Back Bias  
+5V  
1.5kΩ  
1.5kΩ  
1/2 OPA2335  
+3.3V(1)  
1/2 OPA2335  
Photodiode  
NOTE: (1) +3.3V bias is an arbitrary dc level < 5V that also  
appears on the IN through the op amp where it  
applies a reverse bias to the photodiode.  
100kΩ  
100kΩ  
10nA to 1mA  
LOG104  
Pin 1 or Pin 8  
FIGURE 8. Precision Current Inverter/Current Source.  
LOG104  
SBOS243C  
7
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INSIDE THE LOG104  
also  
Using the base-emitter voltage relationship of matched  
bipolar transistors, the LOG104 establishes a logarith-  
mic function of input current ratios. Beginning with the  
base-emitter voltage defined as:  
R1 + R2  
VOUT = VL  
(9)  
R1  
R1 + R2  
I1  
I2  
VOUT  
=
n VT log  
IC  
IS  
kT  
q
(10)  
R1  
VBE = VT ln  
where : VT =  
(1)  
k = Boltzmanns constant = 1.381 1023  
T = Absolute temperature in degrees Kelvin  
q = Electron charge = 1.602 1019 Coulombs  
IC = Collector current  
I1  
I2  
VOUT = 0.5V log  
or  
(11)  
IS = Reverse saturation current  
I2  
Q1  
Q2  
I1  
From the circuit in Figure 11, we see that:  
VOUT  
+
+
A2  
VBE VBE  
1
2
I1  
VL = VBE VBE  
1
2
(2)  
(3)  
A1  
I1  
I2  
R2  
VL  
R1  
VOUT = (0.5V) LOG  
Substituting (1) into (2) yields:  
I2  
I2  
I1  
VL = VT1 ln  
VT2 ln  
IS1  
IS2  
If the transistors are matched and isothermal and  
VTI = VT2, then (3) becomes:  
FIGURE 11. Simplified Model of a Log Amplifier.  
I1  
VL = VT1 ln ln  
IS  
I2  
(4)  
(5)  
IS  
I1  
VL = VT ln  
and since  
I2  
ln x = 2.3log10  
I1  
x
(6)  
(7)  
VL = n VT log  
I2  
where n = 2.3  
(8)  
DEFINITION OF TERMS  
TRANSFER FUNCTION  
3.5  
3.0  
2.5  
2.0  
1.5  
1.0  
0.5  
The ideal transfer function is:  
VOUT = 0.5V logI1/I2  
(5)  
See Figure 12 for the graphical representation of the transfer  
over valid operating range for the LOG104.  
0.0  
0.5  
1.0  
1.5  
I1  
ACCURACY  
2.0  
VOUT = (0.5V) LOG (I1/I2)  
Accuracy considerations for a log ratio amplifier are some-  
what more complicated than for other amplifiers. This is  
because the transfer function is nonlinear and has two  
inputs, each of which can vary over a wide dynamic range.  
The accuracy for any combination of inputs is determined  
from the total error specification.  
2.5  
3.0  
3.5  
FIGURE 13. Transfer Function with Varying I2 and I1.  
LOG104  
8
www.ti.com  
SBOS243C  
TOTAL ERROR  
MEASURING AVALANCHE PHOTODIODE CURRENT  
The total error is the deviation (expressed in mV) of the  
actual output from the ideal output of VOUT = 0.5V log(I1/I2).  
The wide dynamic range of the LOG104 is useful for measuring  
avalanche photodiode current (APD), as shown in Figure 13.  
Thus,  
LOG CONFORMITY  
(6)  
VOUT(ACTUAL) = VOUT(IDEAL) ± Total Error.  
For the LOG104, log conformity is calculated the same as  
linearity and is plotted I1/I2 on a semi-log scale. In many  
applications, log conformity is the most important specifica-  
tion. This is true because bias current errors are negligible  
(5pA compared to input currents of 100pA and above) and  
the scale factor and offset errors may be trimmed to zero or  
removed by system calibration. This leaves log conformity as  
the major source of error.  
It represents the sum of all the individual components of error  
normally associated with the log amp when operated in the  
current input mode. The worst-case error for any given ratio  
of I1/I2 is the largest of the two errors when I1 and I2 are  
considered separately. Temperature can affect total error.  
ERRORS RTO AND RTI  
As with any transfer function, errors generated by the func-  
tion itself may be Referred-to-Output (RTO) or Referred-to-  
Input (RTI). In this respect, log amps have a unique property:  
Log conformity is defined as the peak deviation from the best  
fit straight line of the VOUT versus log (I1/I2) curve. This is  
expressed as a percent of ideal full-scale output. Thus, the  
nonlinearity error expressed in volts over m decades is:  
Given some error voltage at the log amps output, that error  
corresponds to a constant percent of the input regardless of  
the actual input level.  
(7)  
VOUT (NONLIN) = 0.5V/dec 2Nm V  
where N is the log conformity error, in percent.  
ISHUNT  
+15V to +60V  
500Ω  
Irx = 1µA to 1mA  
Receiver  
5kΩ  
5kΩ  
10Gbits/sec  
+5V  
APD  
I to V  
Converter  
INA168  
SOT23-5  
IOUT = 0.1 ISHUNT  
1
2
IOUT  
CC  
1.2kΩ  
1kΩ  
+5V  
4
3
1
Q1  
Q2  
OPA703  
VOUT = 2.5V to 0V  
A2  
A1  
100µA  
25kΩ  
8
LOG104  
REF3025  
2.5V  
SO-8  
5
6
5V  
FIGURE 14. High Side Shunt for Avalanche Photodiode (APD) Measures 3-Decades of APD Current.  
LOG104  
SBOS243C  
9
www.ti.com  
INDIVIDUAL ERROR COMPONENTS  
Example: what is the error when  
I1 = 1µA and I2 = 100nA  
The ideal transfer function with current input is:  
(10)  
I1  
VOUT = 0.5V log  
106 5 1012  
107 5 1012  
(
)
(8)  
VOUT = 0.5 ± 0.0015 log  
± 2 0.00015 ± 3.0mV  
(
)
(
)
(
)
I2  
The actual transfer function with the major components of  
error is:  
= 0.5055V  
(11)  
Since the ideal output is 0.5V, the error as a percent of  
reading is  
I1 IB1  
(9)  
VOUT = 0.5V 1± ∆K log  
± Nm ± VOS O  
(
)
(
)
I2 IB2  
The individual component of error is:  
0.5055  
% error =  
100% = 1.1%  
(12)  
0.5  
For the case of voltage inputs, the actual transfer function is  
K = gain accuracy (0.15%, typ), as specified in  
specification table.  
IB1 = bias current of A1 (5pA, typ)  
IB2 = bias current of A2 (5pA, typ)  
EOS  
V
1
1
IB1  
IB2  
±
±
R1  
V2  
R1  
EOS  
VOUT = 0.5V 1± ∆K log  
± Nm ± VOSO  
(
)
(
)
(13)  
N = log conformity error (0.01%, 0.06%, typ)  
0.01% for n = 5, 0.06% for n = 7.5  
2
R2  
R2  
VOSO = output offset voltage (3mV, typ)  
m = number of decades over which N is specified:  
E
EOS2  
R2  
OS1 and  
R1  
Where  
are considered to be zero for large  
values of resistance from external input current sources.  
LOG104  
10  
www.ti.com  
SBOS243C  
PACKAGE OPTION ADDENDUM  
www.ti.com  
11-Nov-2009  
PACKAGING INFORMATION  
Orderable Device  
LOG104AID  
Status (1)  
ACTIVE  
ACTIVE  
ACTIVE  
Package Package  
Pins Package Eco Plan (2) Lead/Ball Finish MSL Peak Temp (3)  
Qty  
Type  
Drawing  
SOIC  
D
8
8
8
75 Green (RoHS & CU NIPDAU Level-3-260C-168 HR  
no Sb/Br)  
LOG104AIDE4  
LOG104AIDG4  
SOIC  
SOIC  
D
D
75 Green (RoHS & CU NIPDAU Level-3-260C-168 HR  
no Sb/Br)  
75 Green (RoHS & CU NIPDAU Level-3-260C-168 HR  
no Sb/Br)  
(1) The marketing status values are defined as follows:  
ACTIVE: Product device recommended for new designs.  
LIFEBUY: TI has announced that the device will be discontinued, and a lifetime-buy period is in effect.  
NRND: Not recommended for new designs. Device is in production to support existing customers, but TI does not recommend using this part in  
a new design.  
PREVIEW: Device has been announced but is not in production. Samples may or may not be available.  
OBSOLETE: TI has discontinued the production of the device.  
(2)  
Eco Plan - The planned eco-friendly classification: Pb-Free (RoHS), Pb-Free (RoHS Exempt), or Green (RoHS & no Sb/Br) - please check  
http://www.ti.com/productcontent for the latest availability information and additional product content details.  
TBD: The Pb-Free/Green conversion plan has not been defined.  
Pb-Free (RoHS): TI's terms "Lead-Free" or "Pb-Free" mean semiconductor products that are compatible with the current RoHS requirements  
for all 6 substances, including the requirement that lead not exceed 0.1% by weight in homogeneous materials. Where designed to be soldered  
at high temperatures, TI Pb-Free products are suitable for use in specified lead-free processes.  
Pb-Free (RoHS Exempt): This component has a RoHS exemption for either 1) lead-based flip-chip solder bumps used between the die and  
package, or 2) lead-based die adhesive used between the die and leadframe. The component is otherwise considered Pb-Free (RoHS  
compatible) as defined above.  
Green (RoHS & no Sb/Br): TI defines "Green" to mean Pb-Free (RoHS compatible), and free of Bromine (Br) and Antimony (Sb) based flame  
retardants (Br or Sb do not exceed 0.1% by weight in homogeneous material)  
(3)  
MSL, Peak Temp. -- The Moisture Sensitivity Level rating according to the JEDEC industry standard classifications, and peak solder  
temperature.  
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