LokeshGhulyani TI Designs - Precision: Verified Design Single-Supply Analog Input Module Reference Design with 16-Bit, 8-Channel ADC for PLC TIDesigns–Precision CircuitDescription TIDesigns–Precisionareanalogsolutionscreatedby Thisdesignisfor a16-bit,8-channelanaloginput TI’sanalogexperts.VerifiedDesignsofferthetheory, modulefor industrialprogrammablelogiccontroller componentselection,simulation,completeprinted (PLC) systems. Thecircuit isrealizedwithan8- circuitboard(PCB)schematicandlayout,billof channel, 16-bit,successive-approximation-register materials,andmeasuredperformanceofuseful (SAR), analog-to-digitalconverter(ADC)with an circuits. Circuitmodificationsthathelptomeet integratedprecisionreferenceandanalogfront-end alternatedesigngoalsarealsodiscussed. (AFE)circuit.Thedesignexplainsthedesign process for implementingdifferent voltageranges, different DesignResources currentranges, andtemperatureinputsfor industrial PLCsystems. DesignArchive Alldesignfiles TINA-TI SPICEsimulator ADS8688 Productfolder AskTheAnalogExperts INA333 Productfolder TINA-TI® OPA320 Productfolder WEBENCH®DesignCenter OPA376 Productfolder TIPrecisionDesignsLibrary AVDD = 5V 1 M: ADS8688 PGA LPF 1 M: 1 M: 1«..8 AVDD VREF 249 Ÿ 1 M: PGA LPF Multiplexer 1A6D bCit PT100 Rz RG1 RG2 V+ - RefOut + 4.096V V- AGND AnIMPORTANTNOTICEattheendofthisTIreferencedesignaddressesauthorizeduse,intellectualpropertymattersandother importantdisclaimersandinformation. TINA-TIisatrademarkofTexasInstruments,Inc. WEBENCHisaregisteredtrademarkofTexasInstruments,Inc. TINA-TIisaregisteredtrademarkofTexasInstruments. TIDU291A–May2015–RevisedJuly2015 Single-SupplyAnalogInputModuleReferenceDesignwith16-Bit,8-Channel 1 SubmitDocumentationFeedback ADCforPLC Copyright©2015,TexasInstrumentsIncorporated DesignSummary www.ti.com 1 Design Summary Theprimaryobjectiveistodesignasingle-supply(5V),8-channel,analoginput module.Thisdesign can beusedto measurebipolarvoltagerangesof ±10V, ±5V,and ±2.5V,unipolarvoltagerangesof 0Vto 5Vand0Vto10V,abipolarcurrentrangeof ±20mA,andaunipolarcurrent rangeof4mAto20 mA. Thedesignalsohasaprovisiontomeasuretemperatureusingresistancetemperaturedetectors(RTDs). Thekeyspecificationsofthedesignare: • Systemsupplyvoltage:5.5Vdcto40Vdc • ADCsupplyvoltage(AVDD):5Vdc • Digital supplyvoltage(DVDD):3.3Vdc • Responsetime(fortheADC):2µs • Systeminputsignal: – Voltageinputs: ±10V,±5V, ±2.5V,0Vto5V,0Vto10V – Currentinputs:4mAto20mA, ±20-mAdccurrent – Temperatureinput:Pt100RTD(a200-Ω potentiometerisusedtosimulateanRTD). ThedesigngoalsandperformancearesummarizedinTable1.Themeasuredacperformanceforvoltage inputs(±10V)isillustratedinFigure1. Table1.ComparisonofDesignGoal, Simulation,andMeasuredPerformance SIMULATED, PARAMETER GOAL CALCULATED MEASURED VOLTAGEINPUTS Totalerror(%FSR), ±0.1% ±0.056% 0.042% withoutcalibration Forvoltagerangesof±10V Calibratederror ±0.05% — 0.002% CURRENTINPUTS Totalerror(%FSR), ±0.15% ±0.122% 0.028% withoutcalibration Forcurrentrangesof±20mA Calibratederror ±0.05% — 0.007% TEMPERATUREINPUT Totalerror(°C), ±2°C ±1.56°C 1.4°C withoutcalibration Fortemperaturerangesof–40°Cto160°C Calibratederror ±0.5°C — 0.38°C 2 Single-SupplyAnalogInputModuleReferenceDesignwith16-Bit,8-Channel TIDU291A–May2015–RevisedJuly2015 ADCforPLC SubmitDocumentationFeedback Copyright©2015,TexasInstrumentsIncorporated www.ti.com TheoryofOperation Transfer characteristics for voltage input 65000 60000 55000 e50000 d o45000 C 40000 t u35000 p ut30000 O 25000 C 20000 D A15000 10000 5000 0 -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 Input voltage (V) Figure1.Transfer Characteristicsforthe ±10-VVoltageInputRange 2 Theory of Operation 2.1 Overview of the Programmable Logic Controller (PLC) ThePLCisaprogrammablelogiccontrollerusedtocontrolindustrialprocessesandmachines.Abasic PLCsystemconsistsofananaloginput module,aCPU,andananalogoutput module.Theanaloginput moduleinterfaceswithsensors(pressure,temperature,flow, andsoforth)andconvertstheanalogsensor outputintodigital.TheCPUprocessesthesedigitalvaluesandprovidesadigitaloutputthat isconverted bytheanalogoutputmodulefortheactuatorstocontroltheindustrialprocess.Anexampleblockdiagram forthePLCisshowninFigure2. Focus of this Reference Design Analog Analog Input SENSORS CPU Output Actuators Module Module Figure2.ExampleBlockDiagramforthePLC Theinputfortheanaloginputmodulecanbeassmallas10mVfromtemperaturesensorsandcan be as highas±10Vfromactuatorcontrollers.Theanaloginput moduleconsistsofasignal-conditioningcircuit forfilteringandamplification(orattenuation)ofinput signals,anADCfor conversionofanalogsignalsinto digital,andacircuitforisolationfromtheCPUandpower-supplycircuit. TIDU291A–May2015–RevisedJuly2015 Single-SupplyAnalogInputModuleReferenceDesignwith16-Bit,8-Channel 3 SubmitDocumentationFeedback ADCforPLC Copyright©2015,TexasInstrumentsIncorporated TheoryofOperation www.ti.com Theoutputsoftheanalogoutputmoduleareeitherthevoltageoutputsof ±10V,±5V,0Vto10V,and 0Vto5Vforcontrollingtherelaysandactuatorsorarecurrent outputsof±20mA,0mAto20mA, and 4mAto20mAforprocesscontrol.Theanalogoutputmoduleconsistsofadigital-to-analogconverter (DAC)forconvertingdigital valuesfromtheCPUtoanalog, asignal-conditioningcircuit tobringtheoutput oftheDACtothedesiredvoltageorcurrent output range,andanisolationcircuit for isolationfromthe CPUandpower-supplycircuit. 2.2 Analog Input Module ThisTI Designdiscussesthedesignofasingle-supplyanaloginput modulefor thePLC.Thekey requirementsfortheanaloginputmodulefor thePLCarehigh-voltageinputsandhigh-inputimpedance. Typically, aresolutionof12to16bitswithanoverallaccuracyof0.1% to0.2% isrequiredfor theanalog inputmodules.Figure3showstheblockdiagramfor theanaloginput module. AVDD = 5V Desired Voltage Input ADS8688 (GRaainn,g Oesff,s eDt CE rproerr)f odremtearnmcein e 2 1 M: PGA LPF ROevseoralullt iSonys, treemsp Aocncsuer atimcye, the analog front end design for 1 M: 1 determine the ADC, Voltage Inputs reference and multiplexer. 1«..8 Dpedeseriftroeerrdmm Cainunerc reteh n(eGt aIannipnau,l otO gRf ffasronengt teE esrr,n oDdr )C 3 249 Ÿ 11 MM:: PGA LPF ultiplexer 1A6D bCit design for Current Inputs AVDD M VREF T100 Rz RG1 RG2 P Type of Temperature Sensor (RTD, V+ - Thermocouple or NTC), DC RefOut + 4.096V performance(Gain, Offset Error) and V- Temperature Input Range determine 4 the analog front design for Temperature AGND inputs Figure3.BlockDiagramfortheAnalogInputModule 2.3 Considerations for Selecting the Architecture of the Analog Input Module TheanaloginputmoduleforthePLCis generallyusedtomeasuretheoutputofpressuresensors, rotatoryencoders,proximityswitches,temperaturesensors,andsoforth.Thesesensorsareinstalled in thefieldto measureprocessvariables(suchastemperature,pressure, flow, andsoforth)andtheoutput ofthesesensorsiseithervoltageorcurrentoutput.Designtheanaloginput moduletomeasurethe voltageandcurrentoutputsfromthesesenors. A24-Vpowerbusisgenerallyavailablefor poweringtheanaloginput module.The24-Vfieldpowerbus cantypicallyvaryfrom20Vto30Vandcanhavetransientsupto42V.Thenoiseorrippleona24-Vbus canpotentiallycoupleintoinputthroughtheAFEorthroughtheADC.Therefore, anAFEandanADC withhighPSRRarepreferredfortheanaloginput moduleandalow-noiseconverter orlinearregulator withtransientimmunityupto42Visusedfor poweringanaloginput modules. Withtheincreasingnumberofinputchannelspermodule,thepower andspaceavailableperchannelis reduced. TheanaloginputmoduleforthePLCmust measureaninput voltageof ±10Vandatraditional AFErequiresabipolarsupply(±15Vor ±12V)tomeasureasignalof ±10V.Togenerateabipolar supply,anadditionalpowerconverteris required.Theadditionalpower converter increasesthepowerand spacerequirementsoftheanaloginputmodule.AnAFEandADCoperatingonasinglesupply(for example,5V)eliminatestheneedforanadditionalpower converter andhelpsinreducingthespace and powerrequirementsfortheanaloginputmodule. Systemdesigngoals(suchasresponsetime,resolution,accuracy, power consumption,andsize)decide thearchitecturefortheanaloginputmodule. 4 Single-SupplyAnalogInputModuleReferenceDesignwith16-Bit,8-Channel TIDU291A–May2015–RevisedJuly2015 ADCforPLC SubmitDocumentationFeedback Copyright©2015,TexasInstrumentsIncorporated www.ti.com TheoryofOperation TheprocessingcycleforaconventionalPLCsystemisshowninFigure4. Scan Time = Time required to complete one cycle Scan Physical Inputs from Analog Input Perform Logic Update Physical Module & operations & Update Outputs in Analog Update Inputs in Outputs in Controller Output Module Controller Figure4.PLCProcessCycle 2.3.1 ScanTime Scantimeisthetimedifferencebetweentwoconsecutivereadingsthat thePLCcontrollertakes froma particularanaloginputchannel.Scantimeistypicallythesumofresponsetimesofindividualblocksof the PLCsystem.Scantimeisgenerallyintheorderfromafewmillisecondsto100milliseconds.Asthe throughputperchanneloftheanaloginputmoduledecreases,thescantimeachievedfor thePLCsystem increases. 2.3.2 ArchitecturesforAnalogInputModule Therecanbetwoarchitecturesfordesigningtheanaloginput modulefor aPLC: • SimultaneoussamplingwithaseparateADCfor eachchannel. Simultaneoussamplingisusefulinsystemsthat requiresignalstobesampledatthesameinstant. BecauseaseparateADCisusedfor eachchannel, thethroughput(samplespersecond)fromeach channelisequaltothethroughputof theADCandthetotalthroughput achievedfromthisarchitecture isthesumofthethroughputoftheADCsoneachchannel. Powermeasurementisacommon applicationinsimultaneoussampling.Currentandvoltagesignalsaresimultaneouslysampled for calculatingpower.SimultaneoussamplingrequiresanADCfor eachchannel, whichleadstolarger circuitsizeandhigherpowerconsumption. • SingleADCwithmultiplexedinputs. AsingleADCwithmultiplexedinputssamplesthesignaloneachchannelonebyoneinasequence. Thetotalthroughputachievedfromthisarchitectureisthethroughput oftheADC.Thethroughputof theADCisdividedamongallthechannelsandthethroughputperchannelgetsreduced.This architecturerequiresoneADC,onemultiplexer, andmultipleAFEs.Thisarchitecturegenerallyhas lowerpowerandsmallercircuitsizethanasimultaneoussamplingarchitecture. Thesecondarchitectureisselectedforthisdesignreport for itslowerpower consumptionandsmaller solutionsize.Becausethethroughputper channelinthesecondarchitecturewithasingleADCgets reduced, anADCwithhigherthroughputisrequiredtomeet thescantimerequirement.ASARADCwith asufficientthroughput(> 100kSPS,typically)isabletomeet thescantimerequirement ofatypicalPLC system. TIDU291A–May2015–RevisedJuly2015 Single-SupplyAnalogInputModuleReferenceDesignwith16-Bit,8-Channel 5 SubmitDocumentationFeedback ADCforPLC Copyright©2015,TexasInstrumentsIncorporated TheoryofOperation www.ti.com 2.4 Design Considerations for Voltage Inputs Thekeyrequirementforthevoltageinputsofananaloginput modulefor thePLCisthat theymustaccept voltagerangesof±10V, ±5V,and±2.5V.Becausetheanaloginput modulehasasingleADCforallthe inputranges,aprogramablegainamplifier (PGA)isrequiredtoscaleandlevelshiftthesignalsto the analoginputrangesoftheADC.ThePGAalsoscalestheinput signalstowithinthesupplyvoltage and makestheoperationoftheanaloginputmodulepossibleonasinglesupply. Figure5 providesthe simplifiedcircuitofaPGAandEquation1givesthedctransferfunctionofaPGA. V b R f R V i V 1 p + V out V 2 R i R f Figure5. SimplifiedCircuitforaPGA R f u (cid:14) V (V -V ) V out 1 2 b R i where: • V,V areinputvoltagestothePGA,and 1 2 • V isthebiasvoltagetolevelshifttheoutputofthePGA. (1) b TheADCoutputcodecanbecalculatedfromEquation2: ADC_Output_Code «ªRf u(V1-V2) (cid:14) Vb»ºu 1 u(cid:11)2N (cid:16)1(cid:12) ¬ Ri ¼ VFSR where • V isfull-scaleinputrangeoftheADCand FSR • NistheresolutionoftheADC. (2) 6 Single-SupplyAnalogInputModuleReferenceDesignwith16-Bit,8-Channel TIDU291A–May2015–RevisedJuly2015 ADCforPLC SubmitDocumentationFeedback Copyright©2015,TexasInstrumentsIncorporated www.ti.com TheoryofOperation 2.5 Design Considerations for the Current Inputs Inindustrialprocesscontrol,analog4-mAto20-mAand ±20-mAinputsarewidelyusedfor measuring processvariablessuchaspressureandtemperature.Thebenefitsofthecurrent looparethat the accuracyofthesignalisnotaffectedbyvoltagedropsininterconnectingwiring.Even ifthereissignificant voltagedropresultingfromthewireresistance,thecurrent-looptransmittermaintainsthepropercurrent uptoitsmaximumvoltagecapability.Aprecisionresistorisrequiredtoconvert thecurrentintovoltage so thatitcanbemeasuredbyanADC.ThevalueoftheprecisionresistorcanbecalculatedfromEquation3. R V R i u FSR S R I f S(cid:16)max where • V isthefull-scaleinputrangeoftheADC, FSR • I isthefull-scalevalueofthecurrent,and S-max • V isthefull-scaleinputoftheADC. (3) FSR AsimplifiedcircuitforcurrentmeasurementsisshowninFigure6.Thedctransferfunctionfor current inputisstatedinEquation4andtheADCoutputcodecanbecalculatedfromEquation5. V b Is IIN Ri Rf Rs Is - IIN Vp + Vout R i R f Figure6.SimplifiedCircuitforCurrentMeasurements R f (cid:11) (cid:12) V u I (cid:16)I uR V s s(cid:14) out R IN b i where: • V isthefull-scaleinputrangeoftheADC, FSR • I isthefull-scalecurrent,and S • R isthesenseresistorformeasuringcurrent. (4) s ADC_OUTPUT _CODE ¨§Rf u(cid:11)I (cid:16)I (cid:12)uR V ¸·u 1 u(cid:11)2N (cid:16)1(cid:12) s IN s(cid:14) © Ri b¹ V FSR where • V isthefull-scaleinputrangeoftheADCand FSR • NistheresolutionoftheADC. (5) Processvariablessuchaspressureandtemperaturearenearlystaticinnature.Thedcspecifications (gainerror,offseterror,andINLerror)oftheanaloginput modulebecomecriticalindesigningtheanalog inputmoduleformeasuringthesevariables.Gainerror,offseterror,andINLerrorcontributetotheoverall accuracyoftheanaloginputmodule.Asanexample,thecurrentoutput(±20mA)fromapressuresensor mustbemeasuredwithanaccuracyof20 µAfor anoverallaccuracyof ±0.1%oftheanaloginputmodule. Fordc(static)conditions,themajorportionoferroriscontributedbythegainerror,theoffseterror,and INL.Totalerrorforstaticconditionsiscalculatedastheroot ofsumofsquaresofgainerror,offseterror, andINL. TIDU291A–May2015–RevisedJuly2015 Single-SupplyAnalogInputModuleReferenceDesignwith16-Bit,8-Channel 7 SubmitDocumentationFeedback ADCforPLC Copyright©2015,TexasInstrumentsIncorporated TheoryofOperation www.ti.com 2.6 Design Considerations for the Temperature Input RTDsaresensorsthatareusedtomeasuretemperaturebycorrelatingresistanceoftheelement withthe temperature.AccordingtotheIEC751/ITS-90standard,theresistanceofaplatinum resistance temperaturedetectorcanbederivedfromEquation6. For T = -200°C to 0°C R R u[1(cid:14)AuT(cid:14)BuT2] T 0 For T = 0°C to 850°C R R u[1(cid:14)AuT(cid:14)BuT2 (cid:14)C(1-T)3] T 0 Where x(cid:3) R is RTD resistance at temperature T. T x(cid:3) R is RTD resistance at 0°C. 0 x(cid:3) A = 3.9083 x 10-3 °C-1 x(cid:3) B = -5.775 x 10-7 °C-2 x(cid:3) C = -4.182 x 10-12 °C-4 (6) AsimplifiedschematicfortemperaturemeasurementusinganRTDisshowninFigure7. Instrumentation Amplifier C Level Shift and Noise Op-Amp ADC Driver REF/2 + R 3 R 2 INA RTD + V R Op-Amp V R INA 1 + OPA FLT VOUT C 3 R ISET 1 CFLT Current Source RSET R3 REF/2 RFLT R 2 Figure7.SimplifiedSchematicforTemperatureMeasurementusinganRTD AcurrentsourceisrequiredforexcitingtheRTD.Alow-noise,low-offset,andlow-drift operational amplifier isrequiredtomakeaprecisecurrentsourcefor excitingtheRTD.ThevalueofI iskeptat SET 1mAtolimittheself-heatingoftheRTD.Theexcitation currentcanbederivedfromEquation7. V I REF/2 SET R SET (7) Alow-noise,high-inputimpedanceinstrumentationamplifierisrequiredtoamplifythevoltageacrossthe RTD. ThegainrequiredforthisstagecanbederivedfromEquation8. V G FSR INA (cid:11) (cid:12) I uR SET RTD(cid:16)MAX where: • I istheexcitationcurrentfortheRTD, SET • R isthemaximumresistanceoftheRTDfortheselectedtemperaturerange,and RTD-MAX • V isthefull-scaleinputrangeoftheADC. (8) FSR Equation9statesthedctransferfunctionfor theinstrumentationamplifierstage: V I uR uG INA SET RTD INA where • G isthegainoftheinstrumentationamplifier (9) INA Forthetemperaturerangeof –40°Cto160°C: R =84.27Ω atT= –40°C. RTD-MIN R =161.05Ω atT=160°C. RTD-MAX 8 Single-SupplyAnalogInputModuleReferenceDesignwith16-Bit,8-Channel TIDU291A–May2015–RevisedJuly2015 ADCforPLC SubmitDocumentationFeedback Copyright©2015,TexasInstrumentsIncorporated www.ti.com TheoryofOperation Becausetheanaloginputmoduleisdesignedtooperateonasinglesupply, theoutputofthe instrumentationamplifiercanonlyswingbetween0Vandthesupplyvoltage(AVDD).AnADCwith a single-endedinputandfull-scaleinputrangelessthantheAVDDsupplyisrequiredfor temperature measurementinthisanalogmodule. Theoutputoftheinstrumentationgainstagecoversonlyafractionofthefull-scaleinput rangeofthe ADC. Therefore,theoutputoftheinstrumentationgainstagemust belevelshiftedandamplifiedto match thefull-scaleinputrangeoftheADC.Equation10statesthedctransferfunctionfor thisstage. R V (cid:11)V -V (cid:12)u 2 INA REF/2 OPA R 1 where: • V istheoutputvoltageoftheoperationalamplifierand OPA • V istheoutputvoltageoftheinstrumentationamplifier. (10) INA Equation11statesthecompletetransferequationfor thetemperatureinput andtheADCoutputcodefor thetemperatureinputcanbecalculatedfromEquation12. R ª V 1 V º V 2 u«G u REF u uR (cid:16) REF » OUT INA RTD R1 ¬ 2 RSET 2 ¼ (11) R ª V 1 V º 1 (cid:11) (cid:12) ADC_Output_Code 2 u«GINA u REF u uRRTD (cid:16) REF »u u 2N (cid:16)1 R 2 R 2 V 1 ¬ SET ¼ FSR (12) TheREF /2voltageisgeneratedbyaresistordividerfromtheV voltageandbufferedwithan REF operationalamplifiertoprovidealow-impedanceREF/2sourcefor drivingtheinvertinginput oftheADC driver.Figure8providestheschematicfor theREF/2source. R Op-Amp REF 4 + REF/2 R 4 REF/2 Source Figure8.SchematicfortheREF/2Source ThedesignconsiderationsfordrivingaSARADCcanbefoundinsection2ofTIDesignTIDU181. TIDU291A–May2015–RevisedJuly2015 Single-SupplyAnalogInputModuleReferenceDesignwith16-Bit,8-Channel 9 SubmitDocumentationFeedback ADCforPLC Copyright©2015,TexasInstrumentsIncorporated TheoryofOperation www.ti.com 2.6.1 NoiseAnalysis ThelaststageforthecircuitillustratedinFigure7 isalevelshiftandADCdriverstage.Theoperational amplifier isconfiguredforadifferentialinput andasingle-endedoutput.Thetotalintegratednoise at the outputoftheoperationalamplifierconfiguredasadifferentialamplifiercanbeestimatedbyEquation13. R (cid:14)R R (cid:14)R R R V V [{2˜(I R) 2(cid:14) (e ˜( 1 2))2(cid:14)8kTR( 1 2)}uENB(cid:14)(E ˜ 2)2(cid:14)(E ˜ 2)2(cid:14)( 1/f_AMP_PP)2] AMP-NOISE n 2 n R 2 R INAOUT R REF/2 R 6.6 1 1 1 1 where: • V isthetotalintegratedRMSnoiseattheoutputoftheoperationalamplifier, AMP-NOISE • I isthewhitecurrentnoisespecificationoftheoperationalamplifier(A/√Hz), n • V isthewhitevoltagenoisespecificationoftheoperationalamplifier(V/√Hz), n • E isthetotalnoiseattheoutputoftheinstrumentationamplifier(VRMS), INAOUT • E isthetotalnoiseattheREF/2output(VRMS), REF/2 • V istheflickernoisespecificationoftheoperationalamplifierspecifiedaspeak-to-peaknoise(V ), 1/f_AMP_PP PP and • ENBistheeffectivenoisebandwidth. 1 Œ ENB ˜ 2Œ ˜2˜R ˜C 2 FLT FLT (13) Detailsfornoiseanalysisinoperationalamplifierscanbefoundinapplicationreport SLVA043. ForanADCwithaninputrangeofV ,theRMSvalueoftheinput-referrednoisecanbefound fromthe FSR specifiedvalueofSNRinthedatasheetbyusingEquation14. SNR(cid:11)dB(cid:12) V (cid:16) V FSR u10 20 n_ADC_RMS 2 2 where: • V istheRMSnoiseattheinputoftheADCand n_ADC_RMS • V isthefull-scaleinputrangeoftheADC. (14) FSR Thetotalnoiseforatemperaturemeasurementsystemistheroot sumsquare(RSS)ofthenoise at the outputoftheamplifierandtheinput-referrednoiseoftheADC.Thesystemnoisefor atemperatureinput canbecalculatedusingEquation15. V [V 2 (cid:14) V 2] SYS-NOISE AMP-NOISE n_ADC_RMS (15) 10 Single-SupplyAnalogInputModuleReferenceDesignwith16-Bit,8-Channel TIDU291A–May2015–RevisedJuly2015 ADCforPLC SubmitDocumentationFeedback Copyright©2015,TexasInstrumentsIncorporated
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