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1、IEEETRANSACTIONSONWIRELESSCOMMUNICATIONS,VOL.1,NO.4,OCTOBER2002721PerformanceAnalysisofEqualizedOFDMSystemsinRayleighFadingMing-XianChang,andYuT.Su,Member,IEEEAbstract—ChannelestimationisusuallyneededtocompensatefactsthatRayleighfadingisresultedfromaz
2、ero-meancom-fortheamplitudeandphasedistortionsassociatedwithareceivedplexGaussianCRprocessandalinearpilot-assistedchannelorthogonalfrequency-divisionmultiplexing(OFDM)waveform.estimateisalinearfunctionofthetrueCRsatpilotsymbolloca-Thispaperpresentsasy
3、stematicapproachforanalyzingthetions.Usingourgeneralresult,weareabletoderivetheoptimalbit-errorprobability(BEP)ofequalizedOFDMsignalsinRayleighfading.Closed-formexpressionsforBEPperformancelinearchannelestimatethatprovidesthebestBEPperformance.ofvario
4、ussignalconstellations[phase-shiftkeying(PSK),differ-Therestofthispaperisorganizedasfollows.SectionIIpro-entialphase-shiftkeying(DPSSK),quaternaryphase-shiftkeyingvidesamathematicalmodelofanOFDMsysteminRayleigh(QPSK)]areprovidedforreceiversthatusealin
5、earpilot-assistedfadingandgivesabriefdescriptionsofsomeCRestimational-channelestimate.Wealsoderivetheoptimallinearchannelesti-gorithms.SectionIIIcontainsourBEPanalysisforphase-shiftmatesthatyieldtheminimumBEPandshowthatsomepreviousknownresultsarespeci
6、alcasesofourgeneralformulae.Thekeying(PSK),differentialPSK(DPSK)andquadratureampli-resultsobtainedherecanbeappliedtoevaluatetheperformancetudemodulation(QAM)constellationswhileSectionIVdealsofequalizedsingle-carriernarrowbandsystemsaswell.withtheBEPpe
7、rformanceforgenerallinearchannelestimates.IndexTerms—Erroranalysis,frequencydivisionmultiplexing,SectionVgivessomenumericalexamplesbasedonouranal-gaincontrol.ysis.Finally,SectionVIsummarizesourmainresults.II.SYSTEMMODELANDCHANNELESTIMATEALGORITHMSI.IN
8、TRODUCTIONA.SignalandChannelModelsRTHOGONALfrequency-divisionmultiplexingO(OFDM)isapromisingcandidatetechniqueforAbasebandOFDMsignalduringthethsymbolintervalcanhighspeedtransmissionsinafrequency-selectivefadingenvi-beexpressedbyronment[1].Byco
