Time-interleaved Analog-to-Digital Converters ANALOGCIRCUITSANDSIGNALPROCESSINGSERIES ConsultingEditor:MohammedIsmail.OhioStateUniversity Forothertitlespublishedinthisseries,goto www.springer.com/series/7381 Simon Louwsma (cid:2) Ed van Tuijl (cid:2) Bram Nauta Time-interleaved Analog-to-Digital Converters SimonLouwsma BramNauta AxiomIC MESA+Institute Colosseum28 UniversityofTwente Enschede,7521PT P.O.Box217 Netherlands Enschede,7500AE [email protected] Netherlands [email protected] EdvanTuijl AxiomIC/UniversityofTwente Colosseum28 Enschede,7521PT, Netherlands [email protected] SeriesEditors: MohammedIsmail MohamadSawan 205DreeseLaboratory ElectricalEngineeringDepartment DepartmentofElectricalEngineering ÉcolePolytechniquedeMontréal TheOhioStateUniversity Montréal,QC,Canada 2015NeilAvenue Columbus,OH43210,USA ISBN978-90-481-9715-6 e-ISBN978-90-481-9716-3 DOI10.1007/978-90-481-9716-3 SpringerDordrechtHeidelbergLondonNewYork LibraryofCongressControlNumber:2010935602 ©SpringerScience+BusinessMediaB.V.2011 Nopartofthisworkmaybereproduced,storedinaretrievalsystem,ortransmittedinanyformorby anymeans,electronic,mechanical,photocopying,microfilming,recordingorotherwise,withoutwritten permissionfromthePublisher,withtheexceptionofanymaterialsuppliedspecificallyforthepurpose ofbeingenteredandexecutedonacomputersystem,forexclusiveusebythepurchaserofthework. Coverdesign:eStudioCalamarS.L. CoverbackgroundwasdesignedbyErikBosgra. Printedonacid-freepaper SpringerispartofSpringerScience+BusinessMedia(www.springer.com) “Everythingshouldbemadeassimpleaspossible,butnotsimpler.” —AlbertEinstein Preface This book describesthe research carried outby our PhD studentSimonLouwsma at the University of Twente, The Netherlands in the field of high-speed Analog- to-Digital (AD) converters. AD converters are crucial circuits for modern systems whereinformationisstoredorprocessedindigitalform.Duetoincreasingdatarates andfurtherdigitizationofsystems,thedemandsontheADconvertersareincreasing inbothsample-rateandnumberofbits. AfastandaccurateADconvertercombinedwithdigitalsignalprocessingoffers an attractive alternative for the analog signal chain still present in many actual re- ceivers.Thisbookoffersanexplorationoffundamentalandpracticallimitsofhigh speedADconversion,aimingatastepforwardinnumberofbitsandsample-rate, whilekeepingthepowerconsumptionlow. Toachievehighperformance,atechniquecalledtimeinterleavingisused.Time interleavingistheanalogequivalentofparallelprocessinginthedigitaldomain.To implementthis,insteadofasingleTrack-and-Hold(T&H),weuseawholeseries of them,each samplinga bit later than the previous one.In the design examplein thisbookweuse16T&Hcircuits,followedby16sub-ADconverters. ThetimingalignmentoftheseT&Hcircuitsneedstobeextremelyaccurate,and conventionally,complextimingcalibrationisusedtoachievethis.Herehowever,it isshownthatevenbetterperformancecanbeachievedbyacompactandgoodde- signofthetimingcircuitwithoutrequiringanytimingcalibration.Thecircuitsusea minimumoftransistorsthatcausetiminginaccuraciesandspeciallayouttechniques arethefinishingtouch.Thankstotheabsenceofacontrolrangeforthetiming,the amountofjitterisalsoreduced. Tosavepowerandtokeeptheinputcapacitancelow,smallsizedtransistorsare usedinthetime-interleavingT&Hcircuitry.OnlysimpleDCcalibrationsareneeded to make the 16 paths behave equally over the whole input frequency range. An extensiveanalysisofaccuracyandtimingrequirementsisgivenandcircuitsolutions aredescribedindetail. AftertheinputsignalissampledbyaT&Hsection,asub-ADCfinalizesthecon- version.PipelineADconvertersarepopularforconversionratesaround100MS/s, but they suffer from the fact that even in the first stage of the pipeline the full ac- curacyforsettlingisrequired.Thismakesthedesignofhighspeedincombination vii viii Preface with a high accuracy quite a challenge. Instead of that, we use sub-ADCs based onSuccessiveApproximation(SA).Asexplainedinthisbook,thishasquitesome advantages: A SAR ADC contains less critical analog blocks, and its power con- sumptioncanbetentimeslessthanacomparablepipelineADC. A potential disadvantage of Successive Approximation converters is the rela- tively low maximum sample-rate. This problem is tackled with a new overrange techniquethatgreatlyreducesthedemandsonsettlingtimeperconversionstepand thatpostponesthecriticaldecisiontothelastconversionstep.Thisoffersgreatad- vantage over a Pipeline ADC, where the first residue amplifier must settle to full accuracytoavoidunrecoverableanalogerrorsintheconversionprocess. Theworkdescribedinthisbookshowsstate-of-theartperformanceanddescribes techniques, which gain popularity among today’s AD converter designers. We en- joyedcarryingouttheresearchwithSimonandwehopeyouwillenjoyreadingthe results. UniversityofTwente,Enschede,TheNetherlands EdvanTuijl BramNauta Contents 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1 Analog-to-DigitalConversion . . . . . . . . . . . . . . . . . . . . 1 1.2 Architecture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 Outline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2 Time-interleavedTrackandHolds . . . . . . . . . . . . . . . . . . . 5 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.2 MismatchBetweenChannels . . . . . . . . . . . . . . . . . . . . 6 2.2.1 OriginofSpuriousTones . . . . . . . . . . . . . . . . . . 6 2.2.2 BandwidthMismatch . . . . . . . . . . . . . . . . . . . . 9 2.3 Time-interleavedTrackandHoldArchitectures. . . . . . . . . . . 12 2.3.1 ArchitectureWithoutaFrontendSampler . . . . . . . . . . 13 2.3.2 ArchitecturewithaFrontendSampler. . . . . . . . . . . . 17 2.3.3 ConclusionsonArchitectures . . . . . . . . . . . . . . . . 22 2.4 TrackandHoldBuffers . . . . . . . . . . . . . . . . . . . . . . . 22 2.4.1 Even-orderDistortion . . . . . . . . . . . . . . . . . . . . 23 2.4.2 BufferDistortion . . . . . . . . . . . . . . . . . . . . . . . 23 2.4.3 DistortionatHighFrequencieswithaCapacitiveLoad . . . 26 2.5 Bottom-plateSamplinginaTime-interleavedADC . . . . . . . . 28 2.6 NumberofChannels . . . . . . . . . . . . . . . . . . . . . . . . . 29 2.6.1 Sub-ADCs . . . . . . . . . . . . . . . . . . . . . . . . . . 30 2.6.2 Guidelines . . . . . . . . . . . . . . . . . . . . . . . . . . 32 2.7 Calibration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 2.7.1 OffsetCalibration . . . . . . . . . . . . . . . . . . . . . . 34 2.7.2 GainCalibration . . . . . . . . . . . . . . . . . . . . . . . 34 2.7.3 TimingCalibration. . . . . . . . . . . . . . . . . . . . . . 34 2.7.4 BandwidthCalibration . . . . . . . . . . . . . . . . . . . . 35 2.8 JitterRequirementontheSample-clock . . . . . . . . . . . . . . . 35 2.9 SummaryandConclusions . . . . . . . . . . . . . . . . . . . . . 37 3 Sub-ADCArchitecturesforTime-interleavedADCs . . . . . . . . . 39 3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 ix x Contents 3.2 TheSuccessiveApproximationADC . . . . . . . . . . . . . . . . 40 3.2.1 StandardSA-ADC . . . . . . . . . . . . . . . . . . . . . . 40 3.2.2 ArchitecturestoReducetheDACSettlingTime . . . . . . 41 3.2.3 OptimumNumberofConversionSteps . . . . . . . . . . . 49 3.2.4 Look-aheadLogic . . . . . . . . . . . . . . . . . . . . . . 53 3.2.5 Comparator . . . . . . . . . . . . . . . . . . . . . . . . . 54 3.3 EfficiencyofSA-ADCVersusPipelineADC . . . . . . . . . . . . 57 3.3.1 SA-ADC . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 3.3.2 PipelineConverter . . . . . . . . . . . . . . . . . . . . . . 63 3.3.3 ComparisonandConclusionsonPowerEfficiency . . . . . 67 3.4 SummaryandConclusions . . . . . . . . . . . . . . . . . . . . . 68 4 ImplementationofaHigh-speedTime-interleavedADC . . . . . . . 71 4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 4.2 ClockGeneration . . . . . . . . . . . . . . . . . . . . . . . . . . 72 4.2.1 ClockBuffer . . . . . . . . . . . . . . . . . . . . . . . . . 73 4.2.2 CMLClock-phaseGenerator . . . . . . . . . . . . . . . . 75 4.2.3 CMLtoCMOSConversionCircuit . . . . . . . . . . . . . 77 4.3 TrackandHold. . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 4.3.1 BootstrappingoftheSample-switch. . . . . . . . . . . . . 78 4.3.2 Implementation . . . . . . . . . . . . . . . . . . . . . . . 84 4.3.3 Low-skewSwitch-driver . . . . . . . . . . . . . . . . . . . 85 4.3.4 ClockGenerationfortheT&H . . . . . . . . . . . . . . . 88 4.3.5 Buffer . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90 4.4 Sub-ADC . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 4.4.1 ChannelTiming . . . . . . . . . . . . . . . . . . . . . . . 93 4.4.2 SA-ADC . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 4.4.3 DACoftheSub-ADC . . . . . . . . . . . . . . . . . . . . 105 4.4.4 InterstageAmplifier . . . . . . . . . . . . . . . . . . . . . 108 4.4.5 Re-sampler . . . . . . . . . . . . . . . . . . . . . . . . . . 111 4.5 Calibration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113 4.5.1 OffsetCalibration . . . . . . . . . . . . . . . . . . . . . . 114 4.5.2 GainCalibration . . . . . . . . . . . . . . . . . . . . . . . 114 4.6 Layout . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 116 4.7 Measurements . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117 4.7.1 MeasurementSetup . . . . . . . . . . . . . . . . . . . . . 117 4.7.2 MeasurementResults . . . . . . . . . . . . . . . . . . . . 119 4.8 ImprovedDesign . . . . . . . . . . . . . . . . . . . . . . . . . . . 122 4.8.1 MeasurementResultsoftheImprovedDesign . . . . . . . 122 4.9 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124 5 SummaryandConclusions . . . . . . . . . . . . . . . . . . . . . . . 125 5.1 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125 5.2 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127 Contents xi 5.3 OriginalContributions . . . . . . . . . . . . . . . . . . . . . . . . 128 5.4 RecommendationsforFutureResearch . . . . . . . . . . . . . . . 129 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135
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