two-stage analog combining in hybrid beamforming systems with low-resolution adcs jinseok choi论文.pdf

该【two-stage analog combining in hybrid beamforming systems with low-resolution adcs jinseok choi论文 】是由【宝钗文档】上传分享，文档一共【15】页，该文档可以免费在线阅读，需要了解更多关于【two-stage analog combining in hybrid beamforming systems with low-resolution adcs jinseok choi论文 】的内容，可以使用淘豆网的站内搜索功能，选择自己适合的文档，以下文字是截取该文章内的部分文字，如需要获得完整电子版，请下载此文档到您的设备，方便您编辑和打印。:..eptedforpublicationinafutureissueofthisjournal,:.2904931,IEEETransactionsonSignalProcessing1Two-bininginHybridBeamformingSystemswithLow-ResolutionADCsJinseokChoi,StudentMember,IEEE,GilwonLee,Member,IEEE,,Fellow,IEEEAbstract?Inthispaper,weinvestigatehybridanalog/digitalbeamformingformultiple-inputmultiple-output(MIMO)sys-temswithlow-resolutionanalog-to-digitalconverters(ADCs)formillimeterwave(,-stagebinertooptimizemutualinformation(MI),weformulateanunconstrainedMImaximizationproblemwithoutaconstantmodulusconstraintbiners,andderiveatwo--bining,low---two-biningreceiverarchitecturetomaximizecouplingchannelgainaggregationandspreadingfunctionsfromthemutualinformationbyeffectivelymanagingquantizationthederivedsolution,,,whereasconventionalhybridapproachesofferanearoptimalsolutionHybridbeamformingarchitectureshavebeenwidelyinves--formapproximationtigatedtoreducethenumberofRFchainswithminimumoftheergodicrateisderivedforthealgorithm,-binerwithtwo-(SVD)-biningdesignswerepro-[4]–[6]astheSVDtransceivermaximizesthechannelIndexTerms?Two-biningstructure,low-[4],binerdesignmethodsresolutionADCs,mutualinformation,,[5].Themunicationshaveemergedasaperformanceofhybridprecodingsystemswasanalyzedformunications[1],[2].Uti-munications[7],[8].Itwasshownthatlizingmulti-gigahertzbandwidthinthe30-300GHzrangehybridbeamformingsystemswithasmallnumberofRFworkstoachieveanorderofmagni-parabletofullydigitaltudeincreaseinachievablerate[3],,theantennascanbepackedintotransceiverswithverysmallGram-[9](RF)chainsandFormmWavechannels,hybridbeamformingtechniquespower-demandinghigh-resolutionADCscoupledwithhighwereproposedbyexploitingthelimitedscatteringofthesamplingrates,however,thesigni?cantpowerconsumptionchannels[10]–[17].Adoptingarrayresponsevectors(ARVs)esoneoftheprimarychallengestoforanalogbeamformerdesign,,weconsiderhybridMIMOreceivers(OMP)-basedalgorithmsweredevelopedin[10]–[14].Thewithlow-municationstoproposedOMP-basedalgorithmin[10]approximatestheaddresssuchachallengebyreducingboththenumberofRFminimummeansquarederror(,-numberofRFchainsthanthenumberofantennasbyusingcationGroup(WNCG),puterEngineering,ARV--basedalgorithminTheUniversityofTexasatAustin,Austin,TX78701USA.(e-mail:jinseok-[10]******@,******@).-tion,SantaClara,CA95054USA.(e-mail:@).plexity[13]andbyauthorsatTheUniversityofTexasatAustinweresupportedbygiftfundingiterativelyupdatingthephasesofthephaseshifters[14].-587X(c),butrepublication/.:..eptedforpublicationinafutureissueofthisjournal,:.2904931,IEEETransactionsonSignalProcessing2Achannelestimationtechniquewasalsoproposedbyusinginthederivedsolutioncanbeconsideredasachannelhierarchicalmulti-resolutioncodebook-basedARVswithlowgainaggregationfunctionthatcollectstheentirechanneltrainingoverheadin[11].ByleveragingthesparsenatureofgainsintothelowerdimensionandaspreadingfunctionmmWavechannels,theproposedalgorithmswithARV-basedthatreducesquantizationerrorbyspreadingtheaggregatedparableperformancegainsoverRFchains,[4]–[17]consideredin?nite-,hybridbeam-WefurtherdevelopanARV-basedtwo--formingsystemswithlow-resolutionADCswereinvestigatedbiningalgorithmtoimplementthederivedsolutionforin[18]–[23]totakeadvantageofboththehybridbeam-mmWavechannelsundertheconstantmodulusconstraintonformingandlow-[18]binerandspreadingfunctionsfromthesolution,,however,isnotconstrainedwithausingARVsandaDFTmatrixwithoutlosingtheoptimalityconstantmodulus,,-binerobtainedfromtheproposedbinerdesign,algorithmundertheconstantmodulusconstraintalsopro-bitallocationtechniques[19]anduserschedulingmethodsvidesanearoptimalsolutionfortheunconstrainedMImax-[20]weredevelopedforagivenARV-,whereasconventionalhybridapproachesIn[21],[22],-,onlyanalysisofhybridMIMOsystemswithlow-resolutionADCspassivephaseshiftersneedtobeappendedtoaconventionalin[21]plexityandparedtofullydigitalsystemscostincrease,?nite-[23],Wederiveaclosed-formapproximationoftheergodicrateasubarrayantennastructurewasconsidered,andanARV-bining(MRC)-stageanalysisin[21]–[23]biningarchitectureintermsofthesystempa-architecturewithlow-,thequantizationerrorwasnotex--stageConsequently,--Inthispaper,:-,then,andATdenoteconjugatetransposeandtranspose.[A]i;:andproposeatwo-;jor[A]i;jasthefi;.ifAgdenotesthei-thlargestsingularvalue(;2)plexGaussiandistributionwithspreadingstagebyusingadiscreteFouriertransform(DFT)meanandvariance[
]andV[
]representanexpectationmatrix,thetwo-biningstructurerealizestheandvarianceoperators,-denotedasRxy=E[xyH].;igatitsithdiagonalentry,anddiagfagordiagfaTghascontributionsofthispapercanbesummarizedasfollows:;:::;ANgisablockWithoutimposingaconstantmodulusconstraintonandiagonalmatrixwithdiagonalentriesA1;


;,weformulateanunconstrainedMImax-theidentitymatrixwithaproperdimensionandweindicateimizationproblemforahybridMIMOsystemwithlow-,(1)
jindicatesanabsolutevalue,cardinality,anysemi-unitarymatrixthatincludesthesingularvectorsofanddeterminantforascalarvaluea,asetA,andamatrixthesignalspaceinthechannelmatrixand(2)anyunitaryA,
gisatraceoperatorandx(N)y(N)?rstandsecondpartsindicateslimx=!1y1053-587X(c),butrepublication/.:..eptedforpublicationinafutureissueofthisjournal,:.2904931,-<Nr.(0;INr)andthus,weconsider(ULA),andeachRFchainisfollowedbyapairoflow-Also,-termaverageSNR,whichcanrelievetheproblemofusersignalswithsmallpowerbeingburiedunderthequantizationerrorduetothelimiteddynamicrangeoflow-,Thechannelh;kofuserkisassumedtobethesumofthehowever,,thesignalsaretothechannelh;k[24].FormmWavechannels,,esscattering[2].Here,weassumeanarrowbandchannelwherepHHHHponentsofeachusersignalpropagatingthroughLky=WRF2WRF1Hs+=WRFHs+WRFn(2)discrete-timenarrowbandchannelofuserkcanbemodeledaswhereWRF=WRF1WRF2denotesthetwo-stageanalogbiner,rbiner,and1NXkRF1RF;k=phk=g`;ka(`;k)(1)RF2kkLk`=binedsignal(2)arequantizedwherekdenotesthepathlossofuserk,g`;`thpropagationpathofuserk,anda(`;k)(0;INu),weadoptARVofthereceiveantennascorrespondingtotheazimuthanadditivequantizationnoisemodel(AQNM)[27]whichAoAofthe`thpathofthekthuser`;k2[=2;=2].uracyinthelowtomediumSNRrangesplexchannelgaing`;kfollowsanindependentand[28].TheAQNMapproximatesthequantizationprocessinidenticallydistributed(.)complexGaussiandistribution,linearform,whichisequivalenttotheapproximationwithi:i:positionforlow-resolutionADCs[29].Theg`;(0;1).TheARVa()fortheULAantennasofquantizedsignalvectorisexpressedas[27],[29]theBSisgivenashiTpHH1j#j2#j(Nr1)#yq=Q(y)=bWRFHs+bWRFn+q(3)a()=p1;e;e;:::;eNrwhereQ(
)istheelement-wisequantizer,thescalarquantiza-wherethespatialangle#=2dsin()isrelatedtothephysical22tiongainisb=1bwhereb=E[jyyqj]=E[jyj],andqAoA,disthedistancebetweenantennas,and>a