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1、1ComplexLatticeReductionAlgorithmforLow-ComplexityMIMODetectionYingHungGan,StudentMember,IEEE,CongLing,Member,IEEE,andWaiHoMow,SeniorMember,IEEEAbstract—Recently,lattice-reduction-aideddetectorshavereductionalgorithmistheLLLreductionalgorithm[10].Itsbeenproposedformult
2、iple-inputmultiple-output(MIMO)sys-generalization,notjusttothecomplexnumberfield,buttotemstogiveperformancewithfulldiversitylikemaximumtheEuclideanringingeneral,wasintroducedin[11].Inthislikelihoodreceiver,andyetwithcomplexitysimilartolinearpaper,weinvestigatetheimpleme
3、ntationcomplexityandper-receivers.However,theselattice-reduction-aideddetectorsarebasedonthetraditionalLLLreductionalgorithmthatwasformanceofofthecomplexLLLalgorithmfortheapplicationoriginallyintroducedforreducingreallatticebases,inspiteofMIMOdetection.Fromanalyticands
4、imulationresults,itisofthefactthatthechannelmatricesareinherentlycomplex-shownthattheaverageoverallcomplexityofouracceleratedvalued.Inthispaper,weintroducethecomplexLLLalgorithmcomplexLLL(CLLL)reductionalgorithmisnearlyhalffordirectapplicationtoreducethebasisofacomplex
5、latticeofthatoftherealLLL(RLLL)reductionalgorithm.Likewhichisnaturallydefinedbyacomplex-valuedchannelmatrix.WeprovethatcomplexLLLreduction-aideddetectioncanalsotheRLLLalgorithm,lineardetectorsemployingtheCLLLachievefulldiversity.Ouranalysisrevealsthatthenewcomplexalgori
6、thmcanachievefulldiversityinlattice-reduction-aidedLLLalgorithmcanachieveareductionincomplexityofnearlydecoding.Moreover,thebit-error-rateperformanceofMIMO50%overthetraditionalLLLalgorithm,andthisisconfirmeddetectionschemesusingCLLL-reducedbasisispracticallythebysimulat
7、ion.ItisnoteworthythatthecomplexLLLalgorithmsameasthatusingRLLL-reducedbasis.Thus,weachieveaaforementionedhasnearlythesamebit-error-rateperformanceasthetraditionalLLLalgorithm.reductionaslargeas50%inthecomplexityofthereductionalgorithmwithoutsacrificinganyperformance.In
8、dexTerms—latticereduction,multiple-inputmultiple-outputLLLreductionisoftentreatedaspartofpreprocessing(MIMO),complexi
