EVALUATION KIT AVAILABLE Precision Transimpedance Logarithmic Amplifier with Over 5 Decades of Dynamic Range MAX4206 General Description Benefits and Features The MAX4206 logarithmic amplifier computes the log ratio of an input current relative to a reference current (externally or internally generated) and provides a corresponding voltage output with a default 0.25V/decade scale factor. The device operates from a single +2.7V to +11V supply or from dual 2.7V to 5.5V supplies and is capable of measuring five decades of input current across a 10nA to 1mA range. The MAX4206's uncommitted op amp can be used for a variety of functions, including filtering noise, adding offset, and adding additional gain. A 0.5V reference is also included to generate an optional precision current reference using an external resistor, which adjusts the log intercept of the MAX4206. The output-offset voltage and the adjustable scale factor are also set using external resistors. The MAX4206 is available in a space-saving 16-pin TQFN package (4mm x 4mm x 0.8mm), and is specified for operation over the -40C to +85C extended temperature range. * Single Supply Capability Reduces System Power Applications Supply Requirements * +2.7V to +11V Single-Supply Operation * Also Supports 2.7V to 5.5V Dual-Supply Operation if Required * Wide Dynamic Range Supports Most Photodiode Current Measurement Applications * 5 Decades of Dynamic Range (10nA to 1mA) * Monotonic Over a 1nA to 1mA Range * Adjustable Output Scale Factor * 0.25V/Decade Internally Trimmed Output Scale Factor * Adjustable Output Offset Voltage * Internal 10nA to 10A Reference Current Source * 0.5V Input Common-Mode Voltage * Small Package and Few External Components Saves Space and Simplifies Design-In * 16-Pin TQFN Package (4mm x 4mm x0.8mm) Ordering Information PART Photodiode Current Monitoring MAX4206ETE Portable Instrumentation TEMP RANGE PIN-PACKAGE -40C to +85C 16 TQFN-EP* *EP = Exposed pad. Medical Instrumentation Typical Operating Circuit Analog Signal Processing VCC Pin Configuration IIN REFIIN LOGIIN CMVIN REFIOUT 0.1F TOP VIEW (LEADS ON BOTTOM) VCC LOGV2 LOGIIN R2 CCOMP 16 15 14 REFIOUT 13 RCOMP N.C. 1 REFVOUT 2 GND 3 VEE 4 MAX4206 VOUT 12 CMVOUT 11 REFISET 10 VCC 9 N.C. SCALE REFIIN CCOMP R1 MAX4206 RCOMP CMVIN CMVOUT LOGV1 REFVOUT 0.1F 6 7 8 LOGV1 OSADJ SCALE LOGV2 0.1F 5 THIN QFN 19-3071; Rev 2; 5/15 ROS OSADJ REFISET RSET GND VEE Precision Transimpedance Logarithmic Amplifier with Over 5 Decades of Dynamic Range MAX4206 Absolute Maximum Ratings (All voltages referenced to GND, unless otherwise noted.) VCC .........................................................................-0.3V to +12V VEE............................................................................-6V to +0.3V Supply Voltage (VCC to VEE) .............................................. +12V REFVOUT ....................................................(VEE - 0.3V) to +3.0V OSADJ, SCALE, REFISET ...........................(VEE - 0.3V) to +5.5V REFIIN, LOGIIN ........................................(VEE - 0.3V) to VCMVIN LOGV1, LOGV2, CMVOUT, REFIOUT ......................................(VEE - 0.3V) to (VCC + 0.3V) CMVIN............................................................(VEE - 0.3V) to +1V Continuous Current (REFIIN, LOGIIN) ................................10mA Continuous Power Dissipation (TA = +70C) 16-Pin Thin QFN (derate 16.9mW/C above +70C) ....1349mW Operating Temperature Range ...........................-40C to +85C Junction Temperature .....................................................+150C Storage Temperature Range .............................-65C to +150C Lead Temperature (soldering, 10s) .................................+300C Stresses beyond those listed under "Absolute Maximum Ratings" may cause permanent damage to the device. These are stress ratings only, and functional operation of the device at these or any other conditions beyond those indicated in the operational sections of the specifications is not implied. Exposure to absolute maximum rating conditions for extended periods may affect device reliability. DC Electrical Characteristics--Single-Supply Operation (VCC = +5V, VEE = GND = 0V, IREF = 1A, ILOG = 10A, LOGV2 = SCALE, LOGV1 = OSADJ, CMVIN = CMVOUT, RSET > 1M, TA = -40C to +85C. Typical values are at TA = +25C, unless otherwise noted.) (Note 1) PARAMETER SYMBOL Supply Voltage VCC Supply Current ICC LOGIIN Current Range (Notes 3, 4) ILOG REFIIN Current Range (Notes 3, 4) Common-Mode Voltage Common-Mode Voltage Input Range Log Conformity Error Logarithmic Slope (Scale Factor) IREF CONDITIONS (Note 2) MIN TA = +25C 3.9 TA = -40C to +85C Minimum Minimum 0.5 TA = +25C 500 2 TA = +25C TA = -40C to +85C (Note 4) 237.5 250 231.25 TA = -40C to +85C 80 Input Offset Voltage Temperature Drift VIOS |VCMVIN - VREFIIN|, |VCMVIN - VLOGIIN| 6 Current Reference Output Voltage www.maximintegrated.com VREFISET 1 mA 520 mV 1.0 V 5 TA = +25C 1.218 TA = -40C to +85C (Note 4) 1.195 262.5 268.75 1 IREFVOUT mA 10 TA = +25C, |VCMVIN - VREFIIN|, |VCMVIN - VLOGIIN| Voltage Reference Output Current 1 mV TA = -40C to +85C VIO VREFVOUT mA nA Input Offset Voltage Voltage Reference Output 5 nA Maximum VCMVIN Logarithmic Slope (Scale Factor) Temperature Drift V 10 480 K UNITS 11.0 10 Maximum IREF = 10nA, ILOG= 10nA to 1mA, K = 0.25V/decade (Note 4) MAX 7 VCMVOUT VLC TYP 2.7 1.238 V/ decade/ C 5 490 1.258 1.275 TA = -40C to +85C (Note 4) 482 500 mV V/C 1 TA = +25C mV/ decade V mA 510 518 mV Maxim Integrated | 2 Precision Transimpedance Logarithmic Amplifier with Over 5 Decades of Dynamic Range MAX4206 DC Electrical Characteristics--Single-Supply Operation (continued) (VCC = +5V, VEE = GND = 0V, IREF = 1A, ILOG = 10A, LOGV2 = SCALE, LOGV1 = OSADJ, CMVIN = CMVOUT, RSET > 1M, TA = -40C to +85C. Typical values are at TA = +25C, unless otherwise noted.) (Note 1) PARAMETER SYMBOL CONDITIONS MIN TYP MAX 0.4 2 UNITS LOGV2 BUFFER Input Offset Voltage Input Bias Current Output Voltage Range Output Short-Circuit Current Slew Rate Unity-Gain Bandwidth VIO IB TA = +25C TA = -40C to +85C (Note 4) 6 mV (Note 4) 0.01 1 nA VOH RL to GND = 2k VCC 0.2 VCC 0.3 V VOL RL to GND = 2k 0.2 0.08 IOUT+ Sourcing 34 IOUT- Sinking 58 mA SR 12 V/s GBW 5 MHz AC Electrical Characteristics--Single-Supply Operation (VCC = +5V, VEE = GND = 0, IREF = 1A, ILOG = 10A, LOGV2 = SCALE, LOGV1 = OSADJ, CMVIN = CMVOUT, RSET > 1M, TA = +25C, unless otherwise noted.) PARAMETER SYMBOL CONDITIONS MIN TYP MAX UNITS LOGV2 Total Noise 0.1Hz to 10Hz, total output-referred noise, IREF = 10nA, ILOG = 100nA 17 VRMS LOGV2 Spot Noise Density f = 5kHz, IREF = 10nA, ILOG = 100nA 0.8 V/Hz REFVOUT Total Noise 1Hz to 10Hz, total output-referred noise 3.3 VRMS REFVOUT Spot Noise Density f = 5kHz 266 nV/Hz REFISET Total Noise 1Hz to 10Hz, total output-referred noise 0.67 VRMS REFISET Spot Noise Density f = 5kHz 23 nV/Hz Small-Signal Unity-Gain Bandwidth IREF = 1A, ILOG = 10A, RCOMP = 300, CCOMP = 32pF 1 MHz DC Electrical Characteristics--Dual-Supply Operation (VCC = +5V, VEE = -5V, GND = 0, IREF = 1A, ILOG = 10A, LOGV2 = SCALE, LOGV1 = OSADJ, CMVIN = CMVOUT, RSET > 1M, TA = -40C to +85C. Typical values are at TA = +25C, unless otherwise noted.) (Note 1) PARAMETER Supply Voltage (Note 2) SYMBOL MAX VEE -2.7 -5.5 LOGIIN Current Range (Notes 3, 4) ILOG www.maximintegrated.com TYP 5.5 ICC Common-Mode Voltage MIN 2.7 Supply Current REFIIN Current Range (Notes 3, 4) CONDITIONS VCC IREF VCMVOUT TA = +25C 5 TA = -40C to +85C Minimum 10 mA 1 mA 1 mA 520 mV 10 nA Maximum 480 V nA Maximum Minimum 6 7.5 UNITS 500 Maxim Integrated | 3 Precision Transimpedance Logarithmic Amplifier with Over 5 Decades of Dynamic Range MAX4206 DC Electrical Characteristics--Dual-Supply Operation (continued) (VCC = +5V, VEE = -5V, GND = 0, IREF = 1A, ILOG = 10A, LOGV2 = SCALE, LOGV1 = OSADJ, CMVIN = CMVOUT, RSET > 1M, TA = -40C to +85C. Typical values are at TA = +25C, unless otherwise noted.) (Note 1) PARAMETER Common-Mode Voltage Input Range Log Conformity Error Logarithmic Slope (Scale Factor) SYMBOL CONDITIONS K Logarithmic Slope (Scale Factor) Temperature Drift TYP 0.5 VCMVIN VLC MIN IREF = 10nA, ILOG= 10nA to 1mA, K = 0.25V/decade (Note 4) TA = +25C 2 TA = +25C TA = -40C to +85C 237.5 250 231.25 TA = -40C to +85C 80 1 Input Offset Voltage Temperature Drift VIOS |VCMVIN - VREFIIN|, |VCMVIN - VLOGIIN| 6 IREFVOUT Current Reference Output Voltage VREFISET V 5 TA = +25C 1.218 TA = -40C to +85C (Note 4) 1.195 262.5 268.75 TA = +25C, |VCMVIN - VREFIIN|, |VCMVIN - VLOGIIN| Voltage Reference Output Current 1.0 10 VIO VREFVOUT UNITS mV TA = -40C to +85C Input Offset Voltage Voltage Reference Output MAX 1.238 V/ decade/ C 5 490 TA = -40C to +85C (Note 4) 482 1.258 1.275 500 mV V/C 1 TA = +25C mV/ decade V mA 510 518 mV LOGV2 BUFFER Input Offset Voltage Input Bias Current VIO IB TA = +25C 0.4 TA = -40C to +85C (Note 4) (Note 4) 0.01 1 VOH RL to GND = 2k VCC 0.2 VCC 0.3 VOL RL to GND = 2k Slew Rate Unity-Gain Bandwidth www.maximintegrated.com mV nA V Output Voltage Range Output Short-Circuit Current 2 6 VEE + 0.2 VEE + 0.08 IOUT+ Sourcing 34 IOUT- Sinking 58 mA SR 12 V/s GBW 5 MHz Maxim Integrated | 4 Precision Transimpedance Logarithmic Amplifier with Over 5 Decades of Dynamic Range MAX4206 AC Electrical Characteristics--Dual-Supply Operation (VCC = +5V, VEE = -5V, GND = 0, IREF = 1A, ILOG = 10A, LOGV2 = SCALE, LOGV1 = OSADJ, CMVIN = CMVOUT, RSET > 1M, TA = +25C, unless otherwise noted.) PARAMETER SYMBOL CONDITIONS MIN TYP MAX UNITS LOGV2 Total Noise 0.1Hz to 10Hz, total output-referred noise, IREF = 10nA, ILOG = 100nA 17 VRMS LOGV2 Spot Noise Density f = 5kHz, IREF = 10nA, ILOG = 100nA 0.8 V/Hz REFVOUT Total Noise 1Hz to 10Hz, total output-referred noise 3.3 VRMS REFVOUT Spot Noise Density f = 5kHz 266 nV/Hz REFISET Total Noise 1Hz to 10Hz, total output-referred noise 0.67 VRMS REFISET Spot Noise Density f = 5kHz 23 nV/Hz Small-Signal Unity-Gain Bandwidth IREF = 1A, ILOG = 10A, RCOMP = 300, CCOMP = 32pF 1 MHz Note 1: Note 2: Note 3: Note 4: All devices are 100% production tested at TA = +25C. All temperature limits are guaranteed by design. Guaranteed and functionally verified. Log conformity error less than 5mV with scale factor = 0.25V/decade. Guaranteed by design. Typical Operating Characteristics (VCC = +5V, VEE = GND = 0V, IREF = 1A, ILOG = 10A, LOGV2 = SCALE, LOGV1 = OSADJ, CMVIN = CMVOUT, RSET > 1M, TA = +25C, unless otherwise noted.) VLOGV1 vs. ILOG (IREF = 10nA) IREF = 10nA TA = -40C TO +85C VCC = +5V VEE = -5V 1.50 1.25 0.75 0.50 1.50 1.25 1.00 VLOGV1 (V) 1.00 VLOGV1 (V) VLOGV1 (V) 1.25 IREF = 10nA TA = -40C TO +85C VCC = +5V VEE = GND 1.75 MAX4206 toc02 1.50 VLOGV1 vs. ILOG 1.75 MAX4206 toc01 1.75 0.75 0.50 0.75 0.50 0.25 0.25 0 0 0 -0.25 -0.25 10n 100n 1 10 ILOG (A) www.maximintegrated.com 100 1m 10m IREF = 10nA TA = -40C TO +85C VCC = +2.7V VEE = GND 1.00 0.25 -0.25 MAX4206 toc03 VLOGV1 vs. ILOG 1n 10n 100n 1 10 100 ILOG (A) 1m 10m 10n 100n 1 10 100 1m 10m ILOG (A) Maxim Integrated | 5 Precision Transimpedance Logarithmic Amplifier with Over 5 Decades of Dynamic Range MAX4206 Typical Operating Characteristics (continued) (VCC = +5V, VEE = GND = 0V, IREF = 1A, ILOG = 10A, LOGV2 = SCALE, LOGV1 = OSADJ, CMVIN = CMVOUT, RSET > 1M, TA = +25C, unless otherwise noted.) 100A 1.50 10nA 0.50 1.00 0.75 0.25 0.25 0 0 -0.25 -0.25 -0.50 100n 1 10 100 1m -15 10A 100A 10nA 100nA 1A -20 1n 10n 100n 1 10 100 10n 1m 100n 1 10 100 1m ILOG (A) NORMALIZED LOG CONFORMANCE ERROR vs. ILOG NORMALIZED LOG CONFORMANCE ERROR vs. ILOG NORMALIZED LOG CONFORMANCE ERROR vs. ILOG IREF = 10nA TA = -40C TO +85C VCC = +2.7V VEE = GND 15 -5 TA = -40C -10 -15 10n 100n 1 10 100 1m 5 0 -5 TA = -40C 5 0 -5 -10 -10 -15 -15 IREF = 10nA SINGLE SUPPLY: VCC = +2.7V, +5V, 11V, VEE = GND DUAL SUPPLY: VCC = +5V VEE = -5V -20 10n 10m 10m 10 -20 -20 15 ERROR (mV) ERROR (mV) 0 20 MAX4206 toc08 MAX4206 toc07 20 10 5 1n TA = -40C IREF (A) IREF = 10nA TA = -40C TO +85C VCC = +5V VEE = -5V 10 0 -5 ILOG (A) 20 15 10m 5 -10 -0.50 10n ERROR (mV) 1mA 0.50 IREF = 10nA TA = -40C TO +85C VCC = +5V VEE = GND MAX4206 toc09 0.75 10 ERROR (mV) 1A 100nA 1.00 15 1.25 VLOGV1 (V) VLOGV1 (V) 1.75 10A 1.25 20 MAX4206 toc05 1mA 1.50 2.00 MAX4206 toc04 2.00 1.75 NORMALIZED LOG CONFORMANCE ERROR vs. ILOG VLOGV1 vs. IREF (ILOG = 10nA TO 1mA) MAX4206 toc06 VLOGV1 vs. ILOG (IREF = 10nA TO 1mA) 100n 1 10 100 1m 10n 10m 100n 1 10 100 1m 10m ILOG (A) ILOG (A) ILOG (A) LOGV2 NOISE DENSITY (V/Hz) VLOGIIN - VCMVIN (mV) 2 1 0 -1 -2 100nA 1A IREF = ILOG f = 1Hz TO 1MHz 1 10A 0.1 4 MAX4206 toc12 3 10nA VOLTAGE NOISE (mVRMS) IREF = 10nA 5 MAX4206 toc11 4 10 MAX4206 toc10 5 AT VLOGV2 vs. ILOG vs. FREQUENCY VLOGIIN - VCMVIN vs. ILOG 3 2 1 -3 -4 IREF = ILOG 0 0.01 -5 1n 10n 100n 1 10 100 ILOG (A) www.maximintegrated.com 1m 10m 1 10 100 1k 10k 100k FREQUENCY (Hz) 1M 10M 10n 100n 1 10 100 1m ILOG (A) Maxim Integrated | 6 Precision Transimpedance Logarithmic Amplifier with Over 5 Decades of Dynamic Range MAX4206 Typical Operating Characteristics (continued) (VCC = +5V, VEE = GND = 0V, IREF = 1A, ILOG = 10A, LOGV2 = SCALE, LOGV1 = OSADJ, CMVIN = CMVOUT, RSET > 1M, TA = +25C, unless otherwise noted.) ILOG PULSE RESPONSE (IREF = 100nA, VCC = 5V, VEE = GND) ILOG PULSE RESPONSE (IREF = 100nA, VCC = 5V, VEE = -5V) MAX4206 toc13 1.0V MAX4206 toc14 1.0V 100A TO 1mA 100A TO 1mA 0.75V 0.75V 0.75V 10A TO 100A VLOGV1 (V) VLOGV1 (V) 0.75V 0.50V 0.50V 1A TO 10A 0.25V 10A TO 100A 0.50V 0.50V 1A TO 10A 0.25V 0.25V 100nA TO 1A 0.25V 0 100nA TO 1A 0 20s/div 20s/div IREF PULSE RESPONSE (ILOG = 1mA) LOGARITHMIC SLOPE DISTRIBUTION MAX4206 toc15 1.0V 1A TO 100nA MAX4206 toc16 30 25 0.75V 10A TO 1A 0.50V 0.50V 100A TO 10A 20 COUNT (%) VLOGV1 (V) 0.75V 15 10 0.25V 5 0.25V 1mA TO 100A 0 0 240 245 20s/div VREFVOUT DISTRIBUTION 260 255 RL = 100k 20 INPUT OFFSET VOLTAGE = VLOGIIN - VCMVIN 14 MAX4206 toc18 INPUT OFFSET VOLTAGE DISTRIBUTION 16 MAX4206 toc17 25 250 SLOPE (mV/DECADE) 15 COUNT (%) COUNT (%) 12 10 10 8 6 4 5 2 0 1.232 1.234 0 1.236 1.238 1.240 1.242 VREFVOUT (V) www.maximintegrated.com 1.244 -1.0 -0.5 0 0.5 1.0 1.5 2.0 2.5 3.0 INPUT OFFSET VOLTAGE (mV) Maxim Integrated | 7 Precision Transimpedance Logarithmic Amplifier with Over 5 Decades of Dynamic Range MAX4206 Typical Operating Characteristics (continued) (VCC = +5V, VEE = GND = 0V, IREF = 1A, ILOG = 10A, LOGV2 = SCALE, LOGV1 = OSADJ, CMVIN = CMVOUT, RSET > 1M, TA = +25C, unless otherwise noted.)TA = +25C, unless otherwise noted.) VLOGV1 (mV) 4 2 0 -2 -4 -6 1.29 1.28 1.27 1.26 1.25 1.24 1.23 1.22 -8 1.21 -10 1.20 -50 -25 0 25 50 TEMPERATURE (C) 75 100 1.240 1.230 1.225 1.220 1.215 1.210 -25 0 25 50 TEMPERATURE (C) 75 -20 1.23 1.22 -1.0 -0.5 0 0.5 1.0 REFERENCE LINE-TRANSIENT RESPONSE -30 VCC 2V/div 0V -40 -50 -60 -70 -90 -100 0.5 1.24 MAX4206 toc24 CREFVOUT = 0.1F IREFVOUT = 1mA -10 1.200 0 1.25 LOAD CURRENT (mA) 0 1.205 -0.5 1.26 100 VREFVOUT 200mV/div -80 -1.0 1.27 REFERENCE POWER-SUPPLY REJECTION RATIO vs. FREQUENCY REFERENCE PSRR (dB) 1.235 1.28 1.20 -50 MAX4206 toc22 REFERENCE OUTPUT VOLTAGE (V) 1.245 1.29 1.21 REFERENCE OUTPUT VOLTAGE (VREFVOUT) vs. SUPPLY VOLTAGE 1.250 1.30 MAX4206 toc21 6 MAX4206 toc20 8 1.30 MAX4206 toc23 IREF = 1A ILOG 1A REFERENCE OUTPUT VOLTAGE (V) MAX4206 toc19 10 REFERENCE OUTPUT VOLTAGE (VREFVOUT) vs. LOAD CURRENT REFERENCE OUTPUT VOLTAGE (VREFVOUT) vs. TEMPERATURE REFERENCE OUTPUT VOLTAGE (V) OUTPUT OFFSET VOLTAGE vs. TEMPERATURE 1.0 1.238V CREFVOUT = 0F 10 LOAD CURRENT (mA) 100 1k 10k 100k 10s/div 1M FREQUENCY (Hz) REFERENCE LOAD-TRANSIENT RESPONSE REFERENCE TURN-ON TRANSIENT RESPONSE MAX4206 toc25 MAX4206 toc26 CREFVOUT = 0F IREFVOUT 1mA/div 0mA VCC 2.5V/div 0V VREFVOUT 100mV/div 1.238V VREFVOUT 500mV/div 0V 100s/div www.maximintegrated.com 10s/div Maxim Integrated | 8 Precision Transimpedance Logarithmic Amplifier with Over 5 Decades of Dynamic Range MAX4206 Typical Operating Characteristics (continued) (VCC = +5V, VEE = GND = 0V, IREF = 1A, ILOG = 10A, LOGV2 = SCALE, LOGV1 = OSADJ, CMVIN = CMVOUT, RSET > 1M, TA = +25C, unless otherwise noted.)TA = +25C, unless otherwise noted.) -20 ILOG = 10A -30 ILOG = 1A -40 ILOG = 100nA -50 ILOG = 100A -10 ILOG = 10A -20 ILOG = 1A -30 ILOG = 100nA -40 -60 10k 100k 1M FREQUENCY (Hz) AV = 2V/V -3 AV = 4V/V -6 CCOMP = 100pF RCOMP = 1k -12 -60 1k AV = 1V/V 0 -9 -50 CCOMP = 33pF RCOMP = 330 100 3 NORMALIZED GAIN (dB) ILOG = 1mA -10 ILOG = 1mA 0 NORMALIZED GAIN (dB) NORMALIZED GAIN (dB) 0 10 MAX4206 toc28 ILOG = 100A MAX4206 toc27 10 SMALL-SIGNAL AC RESPONSE OF BUFFER SMALL-SIGNAL AC RESPONSE ILOG TO VLOGV1 MAX4206 toc29 SMALL-SIGNAL AC RESPONSE ILOG TO VLOGV1 10M 100 1k 10k 100k 1M 10M 10k 100k 1M 10M 100M FREQUENCY (Hz) FREQUENCY (Hz) Pin Description PIN NAME 1, 9 N.C. 2 REFVOUT 3 GND Ground 4 VEE Negative Power Supply. Bypass VEE to GND with a 0.1F capacitor. 5 LOGV1 Logarithmic Amplifier Voltage Output 1. The output scale factor of LOGV1 is 0.25V/decade. 6 OSADJ Offset Adjust Input. When operating from a single power supply, current applied to OSADJ adjusts the output offset voltage (see the Output Offset section). 7 SCALE Scale Factor Input. Adjust the output scale factor for LOGV2 using a resistive divider (see the Scale Factor section). 8 LOGV2 Logarithmic Amplifier Voltage Output 2. Adjust the output scale factor for LOGV2 using a resistive divider (see the Scale Factor section). 10 VCC 11 REFISET Current Reference Adjust Input. A resistor (RSET), from REFISET to GND, adjusts the current at REFIOUT (see the Adjusting the Logarithmic Intercept section). 12 CMVOUT 0.5V Common-Mode Voltage Reference Output. Bypass CMVOUT to GND with a 0.1F capacitor. 13 REFIOUT Current Reference Output. The internal current reference output is available at REFIOUT. 14 REFIIN Current Reference Input. Apply an external reference current at REFIIN. IREFIIN is the reference current used by the logarithmic amplifier when generating LOGV1. 15 LOGIIN Current Input to Logarithmic Amplifier. LOGIIN is typically connected to a photodiode anode or other external current source. 16 CMVIN Common-Mode Voltage Input. VCMVIN is the common-mode voltage for the input and reference amplifiers (see the Common Mode section). www.maximintegrated.com FUNCTION No Connection. Not internally connected. 1.238V Reference Voltage Output. Bypass REFVOUT to GND with a 0 to 1F capacitor (optional). Positive Power Supply. Bypass VCC to GND with a 0.1F capacitor. Maxim Integrated | 9 Precision Transimpedance Logarithmic Amplifier with Over 5 Decades of Dynamic Range MAX4206 VCC REFVOUT CMVOUT CURRENT MIRROR VCC CURRENT CORRECTION LOGIIN REFIOUT 1.238V VCC 0.5V CMVIN VEE REFISET VCC LOGV2 REFIIN SUMMING AMPLIFIER AND TEMPERATURE COMPENSATION VCC SCALE OSADJ VEE MAX4206 GND VEE LOGV1 Figure 1. Functional Diagram Detailed Description Theory Figure 2 shows a simplified model of a logarithmic amplifier. Two transistors convert the currents applied at LOGIIN and REFIIN to logarithmic voltages according to the following equation: I kT VBE = ln C q IS where: VBE = base-emitter voltage of a bipolar transistor k = 1.381 x 10-23 J/K T = absolute temperature (K) q = 1.602 x 10 -19 C IC = collector current IS = reverse saturation current The logarithmic amplifier compares VBE1 to the reference voltage VBE2, which is a logarithmic voltage for a known reference current, IREF. The temperature depenwww.maximintegrated.com dencies of a logarithmic amplifier relate to the thermal voltage, (kT/q), and IS. Matched transistors eliminate the IS temperature dependence of the amplifier in the following manner: VOUT = VBE1 - VBE2 kT I kT I = ln LOG - ln REF q IS q IS ILOG I - ln REF ln IS IS kT I = ln LOG q IREF I kT = (ln(10)) log10 LOG q IREF I = K x log10 LOG IREF kT = q (see Figure 3) Maxim Integrated | 10 Precision Transimpedance Logarithmic Amplifier with Over 5 Decades of Dynamic Range MAX4206 IDEAL TRANSFER FUNCTION WITH VARYING K VBE1 4 CMVIN VEE IREF VCC VBE2 REFIIN NORMALIZED OUTPUT VOLTAGE (V) LOGIIN 3 VOUT = K LOG (ILOG/IREF) MAX4206 fig03 ILOG VCC K=1 K = 0.5 K = 0.25 2 1 0 -1 -2 -3 -4 0.001 VEE 0.1 10 1000 CURRENT RATIO (ILOG/IREF) Figure 2. Simplified Model of a Logarithmic Amplifier Figure 3. Ideal Transfer Function with Varying K where: K = scale factor (V/decade) ILOG = the input current at LOGIIN IREF = the reference current at REFIIN Referred-to-Input and Referred-to-Output Errors The MAX4206 uses internal temperature compensation to virtually eliminate the effects of the thermal voltage, (kT/q), on the amplifier's scale factor, maintaining a constant slope over temperature. The log nature of the MAX4206 insures that any additive error at LOGV1 corresponds to multiplicative error at the input, regardless of input level. Total Error Total error (TE) is defined as the deviation of the output voltage, VLOGV1, from the ideal transfer function (see the Transfer Function section): VLOGV1 = VIDEAL TE Definitions Transfer Function The ideal logarithmic amplifier transfer function is: I VIDEAL = K x log10 LOG IREF Adjust K (see the Scale Factor section) to increase the transfer-function slope as illustrated in Figure 3. Adjust IREF using REFISET (see the Adjusting the Logarithmic Intercept section) to shift the logarithmic intercept to the left or right as illustrated in Figure 4. Log Conformity Log conformity is the maximum deviation of the MAX4206's output from the best-fit straight line of the VLOGV1 versus log (ILOG/IREF) curve. It is expressed as a percent of the full-scale output or an output voltage. www.maximintegrated.com Total error is a combination of the associated gain, input offset current, input bias current, output offset voltage, and transfer characteristic nonlinearity (log conformity) errors: I -I VLOGV 2 = K(1 K) log10 LOG BIAS1 4( VLC VOSOUT ) IREF - IBIAS2 where VLC and VOSOUT are the log conformity and output offset voltages, respectively. Output offset is defined as the offset occurring at the output of the MAX4206 when equal currents are presented to ILOG and IREF. Because the MAX4206 is configured with a gain of K = 0.25V/decade, a 4 should multiply the (VLC VOSOUT) term, if VLC and VOSOUT were derived from this default configuration. Maxim Integrated | 11 Precision Transimpedance Logarithmic Amplifier with Over 5 Decades of Dynamic Range IBIAS1 and IBIAS2 are currents in the order of 20pA, significantly smaller than ILOG and IREF, and can therefore be eliminated: IDEAL TRANSFER FUNCTION WITH VARYING IREF I VLOGV 2 K(1 K) log10 LOG 4( VLC VOSOUT ) IREF I I VLOGV 2 K log10 LOG KK log10 LOG IREF IREF 4K(1 K)( VLC VOSOUT ) The first term of this expression is the ideal component of VLOGV1. The remainder of the expression is the TE: I TE KK log10 LOG 4K(1 K)( VLC VOSOUT ) IREF In the second term, one can generally remove the products relating to K, because K is generally much less than 1. Hence, a good approximation for TE is given by: I TE K K log10 LOG 4( VLC VOSOUT ) I REF As an example, consider the following situation: Full-scale input = 5V ILOG = 100A IREF = 100nA K = 1 5% V/decade (note that the uncommitted amplifier is configured for a gain of 4) VLC = 5mV (obtained from the Electrical Characteristics table) VOSOUT = 2mV (typ) TA = +25C Substituting into the total error approximation, TE (1V/decade)(0.05log 10 (100A/100nA) 4 (5mV 2mV) = [0.15V 4(7mV)] As a worst case, one finds TE 178mV or 3.6% of full scale. When expressed as a voltage, TE increases in proportion with an increase in gain as the contributing errors are defined at a specific gain. Calibration using a look-up table eliminates the effects of gain and output offset errors, leaving conformity error as the only factor con- www.maximintegrated.com 1.0 OUTPUT VOLTAGE (V) Expanding this expression: 1.5 MAX4206 fig04 MAX4206 IREF = 10nA 0.5 0 -0.5 IREF = 100A IREF = 1A -1.0 -1.5 1n 10n 100n 1 10 100 1m ILOG (A) Figure 4. Ideal Transfer Function with Varying IREF tributing to total error. For further accuracy, consider temperature monitoring as part of the calibration process. Applications Information Input Current Range Five decades of input current across a 10nA to 1mA range are acceptable for ILOG and IREF. The effects of leakage currents increase as ILOG and IREF fall below 10nA. Bandwidth decreases at low ILOG values (see the Frequency Response and Noise Considerations section). As ILOG and IREF increase to 1mA or higher, transistors become less logarithmic in nature. The MAX4206 incorporates leakage current compensation and high-current correction circuits to compensate for these errors. Frequency Compensation The MAX4206's frequency response is a function of the input current magnitude and the selected compensation network at LOGIIN and REFIIN. The compensation network comprised of CCOMP and RCOMP ensures stability over the specified range of input currents by introducing an additional pole/zero to the system. For the typical application, select CCOMP = 100pF and RCOMP = 100. Where high bandwidth at low current is required, CCOMP = 32pF and R COMP = 330 are suitable compensation values. Maxim Integrated | 12 Precision Transimpedance Logarithmic Amplifier with Over 5 Decades of Dynamic Range MAX4206 The MAX4206 bandwidth is proportional to the magnitude of the IREF and ILOG currents, whereas the noise is inversely proportional to IREF and ILOG currents. Select R1 between 1k and 100k, with an ideal value of 10k. The noninverting amplifier ensures that the overall scale factor is greater than or equal to 0.25V/decade for single-supply operation. Common Mode Design Example A common-mode input voltage, VCMVOUT, of 0.5V is available at CMVOUT and can be used to bias the logging and reference amplifier inputs by connecting CMVOUT to CMVIN. An external voltage between 0.5V and 1V can be applied to CMVIN to bias the logging and reference transistor collectors and to optimize the performance required for both single- and dual-supply operation. Overall scale factor = 1V/decade Because there is no offset current applied to the circuit (ROS = 0), the reference current, IREF, equals the log intercept of 100A. Therefore, Frequency Response and Noise Considerations Adjusting the Logarithmic Intercept Adjust the logarithmic intercept by changing the reference current, IREF. A resistor from REFISET to GND (see Figures 5 and 6) adjusts the reference current, according to the following equation: V RSET = REFISET 10 x IREF where VREFISET is 0.5V. Select RSET between 5k and 5M. REFIOUT current range is 10nA to 10A only. Single-Supply Operation When operating from a single +2.7V to +11V supply, ILOG must be greater than IREF, resulting in a positive slope of the log output voltages, LOGV1 and LOGV2. Bias the log and reference amplifiers by connecting CMVOUT to CMVIN or connecting an external voltage reference between 0.5V and 1V to CMVIN. For singlesupply operation, connect VEE to GND. Output Offset Select ROS and IOS to adjust the output offset voltage (see Figure 5). The magnitude of the offset voltage is given by: VOS = ROS IOSADJ Scale Factor The scale factor, K, is the slope of the logarithmic output. For the LOGV1 amplifier, K = 0.25V/decade. When operating in a single-supply configuration, adjust the overall scale factor for the MAX4206 using the uncommitted LOGV2 amplifier and the following equation, which refers to Figure 5: K R2 = R1 - 1 0.25 www.maximintegrated.com Desired: Single-Supply Operation Logarithmic intercept: 100nA RSET = 0.5V = 500k 10 x 100nA Select R1 = 10k: 1V/ V R2 = 10k - 1 = 30k 0.25 Dual-Supply Operation When operating from dual 2.7 to 5.5V supplies, it is not required that ILOG be greater than IREF. A positive output voltage results at LOGV1 when ILOG exceeds IREF. A negative output voltage results at LOGV1 when I LOG is less than I REF . Bias the log and reference amplifiers by connecting CMVOUT to CMVIN or connect an external 0.5V to 1V reference to CMVIN. For dual-supply operation with CMVIN < 0.5V, refer to the MAX4207 data sheet. Output Offset The uncommitted amplifier in the inverting configuration utilized by the MAX4206 facilitates large output-offset voltage adjustments when operated with dual supplies. The magnitude of the offset voltage is given by the following equation: R VOS = VOSADJ 1+ 2 R1 A resistive divider between REFVOUT, OSADJ, and GND can be used to adjust VOSADJ (see Figure 6). R4 VOSADJ = VREFOUT R3 + R4 Maxim Integrated | 13 Precision Transimpedance Logarithmic Amplifier with Over 5 Decades of Dynamic Range MAX4206 VCC VCC IIN IIN 0.1F 0.1F VCC LOGV2 LOGIIN CCOMP 100pF REFIIN MAX4206 0.1F CMVIN 0.1F REFISET OSADJ GND RSET 500k VEE R3 CMVOUT OSADJ ROS 0 REFISET LOGV1 REFVOUT CMVIN CMVOUT LOGV1 0.1F R1 10k MAX4206 RCOMP 100 RCOMP 100 REFVOUT SCALE REFIIN CCOMP 100pF R1 10k R2 40k REFIOUT RCOMP 100 SCALE CCOMP 100pF VOUT LOGIIN CCOMP 100pF R2 30k REFIOUT RCOMP 100 VCC LOGV2 VOUT RSET 50k R4 GND VEE 0.1F VEE Figure 5. Single-Supply Typical Operating Circuit Figure 6. Dual-Supply Typical Operating Circuit Scale Factor Measuring Optical Absorbance The scale factor, K, is the slope of the logarithmic output. For the LOGV1 amplifier, K = 0.25V/decade. When operating from dual supplies, adjust the overall scale factor for the MAX4206 using the uncommitted LOGV2 amplifier and the following equation, which refers to Figure 6: A photodiode provides a convenient means of measuring optical power, as diode current is proportional to the incident optical power. Measure absolute optical power using a single photodiode connected at LOGIIN, with the MAX4206's internal current reference driving REFIIN. Alternatively, connect a photodiode to each of the MAX4206's logging inputs, LOGIIN and REFIIN, to measure relative optical power (Figure 7). K R2 = R1 0.25 Select R2 between 1k and 100k. Design Example Desired: Dual-Supply Operation Logarithmic intercept: 1A Overall scale factor = 1V/decade 0.5V RSET = = 50k 10 x 1A Select R1 = 10k: 1V / decade R2 = 10k x = 40k 0.25 www.maximintegrated.com In absorbance measurement instrumentation, a reference light source is split into two paths. The unfiltered path is incident upon the photodiode of the reference channel, REFIIN. The other path passes through a sample of interest, with the resulting filtered light incident on the photodiode of the second channel, LOGIIN. The MAX4206 outputs provide voltages proportional to the log ratio of the two optical powers--an indicator of the optical absorbance of the sample. In wavelength-locking applications, often found in fiberoptic communication modules, two photodiode currents provide a means of determining whether a given optical channel is tuned to the desired optical frequency. In this application, two bandpass optical filters with overlapping "skirts" precede each photodiode. With proper filter selection, the MAX4206 output can vary monotonically (ideally linearly) with optical frequency. Maxim Integrated | 14 Precision Transimpedance Logarithmic Amplifier with Over 5 Decades of Dynamic Range MAX4206 Photodiode Current Monitoring Figure 8 shows the MAX4206 in a single-supply, opticalpower measurement circuit, common in fiberoptic applications. The MAX4007 current monitor converts the sensed APD current to an output current that drives the MAX4206 LOGIIN input (APD current is scaled by 0.1). The MAX4007 also buffers the high-voltage APD voltages from the lower MAX4206 voltages. The MAX4206's internal current reference sources 10nA (RSET = 5M) to the REFIIN input. This configuration sets the logarithmic intercept to 10nA, corresponding to an APD current of 100nA. The unity-gain configuration of the output buffer maintains the 0.25V/decade gain present at the LOGV1 output. VCC 0.1F VCC CMVIN REFISET REFIIN REFVOUT 100pF The MAX4206 drives capacitive loads of up to 50pF. Reactive loads decrease phase margin and can produce excessive ringing and oscillation. Use an isolation resistor in series with LOGV1 or LOGV2 to reduce the effect of large capacitive loads. Recall that the combination of the capacitive load and the small isolation resistor limits AC performance. Power Dissipation The LOGV1 and LOGV2 amplifiers are capable of sourcing or sinking in excess of 30mA. Ensure that the continuous power dissipation rating for the MAX4206 is not exceeded. TQFN Package The 16-lead thin QFN package has an exposed paddle that provides a heat-removal path, as well as excellent electrical grounding to the PC board. The MAX4206's exposed pad is internally connected to VEE, and can either be connected to the PC board VEE plane or left unconnected. Ensure that only VEE traces are routed under the exposed paddle. Layout and Bypassing Bypass V CC and V EE to GND with ceramic 0.1F capacitors. Place the capacitors as close to the device as possible. Bypass REFVOUT and/or CMVOUT to GND with a 0.1F ceramic capacitor for increased www.maximintegrated.com 0.1F LOGV2 VCC MAX4206 R2 100 SCALE LOGV1 R3 LOGIIN Capacitive Loads 0.1F CMVOUT R1 100pF OSADJ REFIOUT 100 GND VEE R4 Figure 7. Measuring Optical Absorbance noise immunity and a clean reference current. For lowcurrent operation, it is recommended to use metal guard rings around LOGIIN, REFIIN, and REFISET. Connect this guard ring to CMVOUT. Evaluation Kit An evaluation kit is available for the MAX4206. The kit is flexible and can be configured for either single-supply or dual-supply operation. The scale factor and reference current are selectable. Refer to the MAX4206 Evaluation Kit data sheet for more information. Chip Information TRANSISTOR COUNT: 754 PROCESS: BiCMOS Maxim Integrated | 15 Precision Transimpedance Logarithmic Amplifier with Over 5 Decades of Dynamic Range MAX4206 VCC 2.2H +2.7V TO +76V 2.2F PHOTODIODE BIAS 0.22F 0.1F BIAS VCC CLAMP OUTPUT REFVOUT 0.1F LOGV2 REFIOUT MAX4007 REFIIN 100pF SCALE MAX4206 LOGV1 OSADJ 100 REFISET IAPD/10 IAPD 5M OUT REF 100pF GND FIBER CABLE CMVOUT CMVIN 100 0.1F APD GND TIA VEE TO LIMITING AMPLIFIER HIGH-SPEED DATA PATH Figure 8. Logarithmic Current-Sensing Amplifier with Sourcing Input Package Information For the latest package outline information and land patterns (footprints), go to www.maximintegrated.com/packages. Note that a "+", "#", or "-" in the package code indicates RoHS status only. Package drawings may show a different suffix character, but the drawing pertains to the package regardless of RoHS status. PACKAGE TYPE PACKAGE CODE OUTLINE NO. LAND PATTERN NO. 16 TQFN-EP T1644-4 21-0139 90-0070 www.maximintegrated.com Maxim Integrated | 16 Precision Transimpedance Logarithmic Amplifier with Over 5 Decades of Dynamic Range MAX4206 Revision History REVISION NUMBER REVISION DATE 2 5/15 DESCRIPTION Updated Benefits and Features section PAGES CHANGED 1 For pricing, delivery, and ordering information, please contact Maxim Direct at 1-888-629-4642, or visit Maxim Integrated's website at www.maximintegrated.com. Maxim Integrated cannot assume responsibility for use of any circuitry other than circuitry entirely embodied in a Maxim Integrated product. No circuit patent licenses are implied. Maxim Integrated reserves the right to change the circuitry and specifications without notice at any time. The parametric values (min and max limits) shown in the Electrical Characteristics table are guaranteed. Other parametric values quoted in this data sheet are provided for guidance. Maxim Integrated and the Maxim Integrated logo are trademarks of Maxim Integrated Products, Inc. (c) 2015 Maxim Integrated Products, Inc. | 17 Mouser Electronics Authorized Distributor Click to View Pricing, Inventory, Delivery & Lifecycle Information: Maxim Integrated: MAX4206ETE+ MAX4206ETE+T