Analog Circuits and Signal Processing Forfurthervolumes: http://www.springer.com/series/7381 PipelinedADC Designand Enhancement Techniques Consulting Editor:MohammedIsmail. OhioState University Imran Ahmed Pipelined ADC Design and Enhancement Techniques Dr.ImranAhmed KapikIntegration 192SpadinaAve. TorontoM5T2C2 Suite218 Canada [email protected] ISBN978-90-481-8651-8 e-ISBN978-90-481-8652-5 DOI10.1007/978-90-481-8652-5 SpringerHeidelbergDordrechtLondonNewYork LibraryofCongressControlNumber:2010920320 #SpringerScienceþBusinessMediaB.V.2010 Nopartofthisworkmaybereproduced,storedinaretrievalsystem,ortransmittedinanyformorbyany means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permissionfromthePublisher,withtheexceptionofanymaterialsuppliedspecificallyforthepurpose ofbeingenteredandexecutedonacomputersystem,forexclusiveusebythepurchaserofthework. Coverdesign:WMXDesignGmbH,Heidelberg,Germany Printedonacid-freepaper SpringerispartofSpringerScienceþBusinessMedia(www.springer.com) Preface PipelinedADCshaveseenatremendousgrowthininnovationandscopeoverthe pastfewyears.Assuchunderstandingboththebasicconceptsandtheleadingedge techniques required to realize pipelined ADCs which meet the challenging speci- ficationsoftoday’smarketandapplicationsisrequired.WhilepipelinedADCsare popular circuit blocks, beyond publications in periodicals there are only a few condensedresourceswhicharededicatedtoeducationinthearea.Thisbookaimsto helpbridgethegapwithathoroughdiscussionofpipelinedADCs. This book is targeted to both the beginner and expert looking to acquire knowledgeinpipelinedADCs.Inthefirstsectionofthisbook,atutorialdiscussion ofseveralkeydesigntradeoffsinvolvedindesigningapipelinedADCisgiven.The discussion is presented with sufficient detail so as to allow those with only intro- ductory knowledge of pipelined ADCs to quickly understand the limiting factors whichmotivateresearchintomethodswhichenhancetheperformanceofpipelined ADCs. In the second half of this book a detailed overview and discussion of four state-of-the-artpipelinedADCswithsiliconimplementationsandmeasuredresults is given. The innovations include: a technique to rapidly digitally correct gain + DAC errors in a pipelined ADC, an architecture to enable a single ADC to be designed to achieve low power for a very wide range of sampling rates, a circuit techniquetoeliminatefront-endsample-and-holdsinpipelinedADCs,andfinallya verylowpowerpipelinedADCarchitecturebasedoncapacitivechargepumps. The innovations presented in this book provides several tools which can be of great use to help a pipelined ADC designer deliver a design with good linearity, broadapplication,andverylowpower. v Acknowledgements Research is a unique proposition. One is forced to look into the depths of the unknownandfindananswertoaquestionthatdoesnotnecessarilyhaveananswer. In some cases your answer fits the question – in some cases your answer fits the questionlikeasquarepeginaroundhole.Regardlessofthemadness,thejourney of developing abstract ideas into ultimately something which works is truly a unique and completely enriching experience – an experience that I for one am tremendouslythankfulforandveryfortunatetohaveundergoneindevelopingthe material for this book. Acknowledging specific people in the development of an abstractpieceofartissomewhatpartial,asundoubtedlyeverypersononeinteracts withduringthecourseofawritingabookinsomeshapeorformimpactsthework. Thereareafewkeypeoplehoweverwhohavehelpedthisworktakeform.Firstly I must thank Professor DavidJohns at the University of Toronto. His guidance in developing many of the ideas discussed in this book were invaluable. I am also thankful to Professor Ken Martin, also of the University of Toronto, whose rigor andboldnesssignificantlyhelpedthisworktakeshape.Ialsothankthesupportof the team of excellent designers at Broadcom Netherlands, especially Jan Mulder andKlaasBult,whoinadditiontoprovidingawealthofknowledge,haveinspired me to be excited about the future in mixed signal circuit design. Of course one cannotaccomplishanythinginlifewithouttheunquestionedpillarofsupportone’s familyoffers.Thisbookisdedicatedtomyfamily. vii Contents 1 Introduction ............................................................... 1 1.1 Overview ............................................................... 1 1.2 ChapterOutline ........................................................ 3 1.2.1 SectionI:PipelinedADCDesign .............................. 3 1.2.2 SectionII:PipelinedADCEnhancementTechniques ......... 4 PartI PipelinedADCDesign 2 ADCArchitectures ....................................................... 7 2.1 Overview ............................................................... 7 2.2 FactorsWhichDetermineADCResolutionandLinearity ............ 7 2.3 ADCArchitectures ................................................... 11 2.4 ADCFigure-of-Merit ................................................. 12 2.5 FlashADC ............................................................ 12 2.6 SARADC ............................................................. 14 2.7 Sub-sampling ......................................................... 16 2.8 Summary .............................................................. 17 3 PipelinedADCArchitectureOverview ................................ 19 3.1 Overview .............................................................. 19 3.2 PipelinedADCIntroduction .......................................... 19 3.3 MultiplyingDigitaltoAnalogConverter(MDAC) .................. 21 3.4 OpampDCGainRequirements ...................................... 23 3.5 OpampBandwidthRequirements .................................... 26 3.6 ThermalNoiseRequirements ......................................... 28 3.7 MDACDesign:CapacitorMatching/Linearity ...................... 29 3.8 ErrorCorrectioninPipelinedADCs:RelaxedSub-ADC Requirements ......................................................... 31 3.9 Sub-ADCDesign:Comparator ....................................... 35 3.10 Front-EndSample-and-Hold ........................................ 36 3.11 Summary ............................................................. 38 ix x Contents 4 ScalingPowerwithSamplingRateinanADC ........................ 39 4.1 Overview .............................................................. 39 4.2 ADCPowerasaFunctionofSamplingRate ........................ 39 4.3 DigitalVersusAnalogPower ......................................... 40 4.4 WeakInversionModel:EKV ........................................ 42 4.5 WeakInversionIssues:Mismatch .................................... 43 4.6 CurrentScaling:MultipleDesignCorners ........................... 45 4.7 CurrentScaling:BiasPointSensitivity .............................. 45 4.8 CurrentScaling:IRDrops ............................................ 46 4.9 Summary .............................................................. 48 5 StateoftheArtPipelinedADCDesign ................................ 49 5.1 Overview .............................................................. 49 5.2 CalibrationinPipelinedADCs ....................................... 49 5.2.1 ReviewofErrorSources ....................................... 50 5.2.2 GainErrorCorrection ......................................... 50 5.2.3 DACErrorCorrection ......................................... 52 5.2.4 ForegroundCalibration ........................................ 52 5.2.5 BackgroundCalibration ....................................... 53 5.2.6 RapidCalibrationofADCErrors ............................. 54 5.3 PowerScalabilitywithRespecttoSamplingRate ................... 56 5.4 PowerReductionTechniquesinPipelinedADCs .................... 56 5.4.1 Front-EndS/HRemoval ....................................... 56 5.4.2 Open-LoopAmplifierApproach ............................... 58 5.4.3 ComparatorBasedSwitchedCapacitorCircuits .............. 60 5.5 Summary .............................................................. 61 PartII PipelinedADCEnhancementTechniques 6 RapidCalibrationofDACandGainErrorsinaMulti-bit PipelineStage ............................................................ 65 6.1 Overview .............................................................. 65 6.2 Motivation ............................................................ 65 6.2.1 WhyAreDACErrorsImportanttoCorrect? ................. 66 6.3 RapidDAC+GainCalibrationArchitecture ........................ 66 6.3.1 MeasurementofMissingCodesDuetoDAC andGainErrors ................................................ 67 6.3.2 CorrectionofMissingCodes .................................. 68 6.3.3 MismatchBetweenADCs ..................................... 69 6.3.4 SimulationResults ............................................. 70 6.4 CircuitImplementation ............................................... 73 6.4.1 Front-EndSample-and-Hold ................................... 74 6.4.2 5-BitFlashADC ............................................... 75 Contents xi 6.4.3 4-BitMDAC ................................................... 75 6.4.4 BackendPipelinedADC ....................................... 77 6.4.5 DigitalCalibration ............................................. 78 6.5 Testing ................................................................ 78 6.5.1 PCB ............................................................ 79 6.5.2 TestSetup ...................................................... 79 6.6 MeasuredResults ..................................................... 81 6.6.1 INL/DNLPlots ................................................ 81 6.6.2 SNDR/SFDRPlots ............................................. 81 6.6.3 CalibrationTime ............................................... 82 6.7 Summary .............................................................. 84 7 APowerScalableandLowPowerPipelinedADC .................... 85 7.1 Overview .............................................................. 85 7.2 PowerScalableArchitecture ......................................... 85 7.3 CurrentModulatedPowerScaling(CMPS) .......................... 88 7.4 CurrentSwitchingIssues ............................................. 91 7.5 HybridPowerScaling ................................................ 92 7.6 DetailedTriggerAnalysis ............................................ 93 7.7 DesignoftheDigitalStateMachine ................................. 97 7.8 RapidPower-OnOpamps ........................................... 100 7.8.1 ConventionalApproach:SwitchedBiasOpamp ............. 100 7.8.2 RapidPower-OnOpampsUsedinThisWork ............... 101 7.8.3 BenefitsofFeedbackBasedBiasing:IncreasedOutput Resistance ..................................................... 104 7.8.4 OpampSpecification/Characterization ....................... 105 7.9 CommonModeFeedBack(CMFB)forRapid Power-OnOpamp ................................................... 109 7.10 PowerReductionThroughCurrentModulation .................. 111 7.10.1 CommonModeFeedBack(CMFB)for DifferentOpampModes .................................. 112 7.11 Sample-and-Hold(S/H) ........................................... 113 7.12 1.5-bitMDAC ..................................................... 114 7.13 Sub-ADCComparators ............................................ 114 7.14 BiasCircuits ....................................................... 115 7.15 Non-overlappingClockGenerator ................................ 116 7.16 Referencevoltages ................................................ 117 7.17 DigitalErrorCorrection ........................................... 118 7.18 ExperimentalImplementation:PCB .............................. 118 7.19 ExperimentalImplementation:TestSetup ........................ 118 7.20 MeasuredResults .................................................. 120 7.21 CurrentScaledPower ............................................. 121 7.21.1 PowerReductionMode:StaticAccuracy ................. 127 7.21.2 PowerScalableADC:CurrentScaling ................... 131
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