Time-Frequency Synchronization in Filtered Multitone Modulation Based Systems

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Time–FrequencySynchronizationinFilteredMultitoneModulationBasedSystems

AntonioAssaliniAndreaM.TonelloDept.ofInformationEngineering–DEIDept.ofElectricalEngineering–DIEGMPadova,ItalyUdine,Italye–mail:assa@dei.unipd.ite–mail:tonello@diegm.uniud.it

Abstract—Inthispaperweconsidertheproblemofacquiringtimeandfrequencysynchronizationinafilteredmultitone(FMT)modulatedsystem.AnFMTbasedsystemdiffersfromthepopularOFDMsysteminthedeploymentofsub–channelshapingfilters.AlthoughthesynchronizationprobleminOFDMiswellunderstood,inanFMTsystemitpresentsseveralchallenges.Anumberoftechniquesfortheoffsetscorrectionareproposed.Thetransmissionfilterbankproprietiesareexploitedinthetimedomainbeforethedemodulator.Theuseofspecialtrainingsymbolisalsodiscussed.

IndexTerms—Filteredmultitonemodulation,OFDM,time–frequencysynchronization.

I.INTRODUCTION

Multicarriermodulationhasattractedgreatattentionforapplicationtowidebandwirelesschannels.Thisisbecauseithasthepotentialityofsimplifyingtheequalizationtaskthatbecomesmandatoryinwidebandchannelsexperi-encingseverefrequencyselectivity.Orthogonalfrequencydivisionmultiplexing(OFDM)isprobablyamongthemostpopularmulticarriermodulationtechniques.Moregeneralmulticarrierschemesdeploysub–channelfilterswithpos-siblytime-frequencyconcentratedresponse.UndercertainconditionstheycanbeimplementedbyusinganIFFTfollowedbylow–ratesub–channelfiltering.Theseschemesarereferredtoasfilteredmultitone(FMT)modulatedsystems[1].Ifthesub–channelshavedisjointfrequencyresponse,i.e.,theydonotoverlapinfrequency,itispossi-bletoavoidtheinter–carrierinterference(ICI)andgetlowinter–symbolinterference(ISI)thatcanbecorrectedwithsimplifiedsub–channelequalization[2].FMTmodulationhasthepotentialityofachievingbetterspectralefficiencythanOFDM[3].Itiswellknowthatacquisitionoftheframe(symbol)timing,andcarrierfrequencyinOFDMmustbeperformed

ThisworkwassupportedinpartbyItalianMinistryofEducation,UniversityandResearchundertheFIRBproject:”Reconfigurableplat-formsforwidebandwirelesscommunications”,prot.RBNE018RFY.

veryaccurately,otherwisealossinorthogonalitybetweenthesub–channelsisintroducedwhichtranslatesintoICI[4].Theproblemiswellunderstoodandseveralrobusttechniquesarepresentedinliterature,e.g.[5],[6].InanFMTsystemthesymboltimingandcarrierfrequencyacquisitionisstillofgreatimportance[7].InthispaperwestartreportingtheresultsoftheanalysisoftheeffectonperformanceofthetimeandfrequencymisalignmentsinanFMTsystem.Weinvestigatedifferentapproachesfortheestimationofthesymboltimingandcarrierfrequency.Theuseoftrainingpreamblesatthebeginningofthetransmittedframeiscommonlyused.ItslengthhastobekeptassmallaspossibleespeciallyforbursttransmissionasinwirelessLANs.Tothisrespect,inanOFDMsystem,synchronizationcanbeacquired,inprinciple,byexploitingtheredundancyofthecyclicprefix[4].InanFMTsystemthesub–channelfiltersinevitablyintroducesomeoverhead,i.e.bursttransients.However,theoveralloverheadcanbekeptsmallwhenthetrainingsequencearedesignedjointlywiththesub–channelfilters.Weproposeacompletelyblindtechniqueforthetime-frequencysynchronizationpurpose,thatexploitsthetrans-missionfilterbankcharacteristics.Wereportperformancecurvesthatconfirmouranalysisandtheefficiencyoftheproposedsynchronizationalgorithms.

II.TRANSMITTERANDRECEIVERMODEL

Theschemethatdescribesamulticarriersystem[1]isshowninFig.1.Theinformationsequencesaretransmittedinparallelonthesub–channels.Theavailabletransmissionbandwidthissubdividedinsub–channels.Iftheup-samplingfactorisequaltothenumberofsub–channelsthesystemisreferredtoascriticallysampledFMT(CS–FMT),otherwise,when,,thesystemisreferedtoasnon–criticallysampledFMT(NCS–FMT).Theexcessbandwidthfactor,,

Proc. of International Symposium on Wireless Personal Multimedia Communications 2003, WPMC 03Yokosuka, Kanagawa, JapanOctober 19-22, 2003ISSN:1347-6890 © 2003 WPMC Steering BoardVolume 1, pp. 221-225yM−1(nT)

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Fig.1.Transmissionblockdiagrambasedonfilter–bankmodulationanddemodulation.The–th,,sub–channeliscarriedonthefrequency.Allthesub–channelsarefilteredwithand,i.e.prototypefilterisused.

allowsafrequencyguardinsertionbetweenadjacentsub–channels.InfactinanFMTmodulatorthetransmissionprototypefilter,thatitisassumedidenticalforeverysub–channel,isdesignedforallowinganidealfrequencyseparationbetweenadjacentsub-channels.Theprototypefilteratthereceiverismatchedto.Thetrans-missionchainincludedigital–to–analog,andanalog–to–digitalconverters(DAC/ADC).Weconsideramultipathradiochannelwithanexponentialpowerdelayprofile.Thesystemperformanceissimulatedfordifferentvaluesoftheroot–mean–squaretimedelayspread.InthispaperwehaveimplementedtheFMTmodulatorandthechannelmodelasdescribedin[3]whereadetaileddescriptionofthesystemparameterscanbefound.Themainsystemparametersare:,,Hz,s,anddB.Thefiltershavesupport,with.Thedemodulatorprototypefilteris,.InthesimulationsthatfollowwedeploysquarerootraseidcosineprototypepulsesinNCS–FMT,whileinCS-FMTwedeployrectangularwindowedpulsessee,[3]fordetails.III.TIMING-FREQUENCYMISALIGNMENTEFFECTSThemodulatedsignal(Fig.1)reads(2)whereisthereceivedsignal,thatweconsiderimpairedbytimeandfrequencyoffsets,(3)foreaseofnotationanidealpropagationmediaisassumed.Notealsothatallsubcarriershavethesamefrequencyshift.Thetimingoffsetisanintegernumberofthechipperiod.Thefrequencyoffsetismeasuredwhitrespecttothesub–channelbandwidth.Using(1)and(3)in(2),theper-subcarrieroutputreads