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1、1RealInterferenceAlignment:ExploitingthePotentialofSingleAntennaSystemsAbolfazlSeyedMotahari?,ShahabOveis-Gharan?,Mohammad-AliMaddah-Ali??,andAmirKeyvanKhandani??DepartmentofElectricalandComputerEngineering,UniversityofWaterlooWaterloo,ON,CanadaN2L3G1{abolfazl,shahab,khandani}@cst.uwat
2、erloo.ca??DepartmentofElectricalEngineeringandComputerSciences,UniversityofCalifornia-BerkeleyBerkeley,CA,USAmaddah-a@eecs.berkeley.eduAbstract—Inthispaper,theavailablespatialDegrees-Of-InterferencealignmentmakestheinterferencelessdamagingFreedoms(DOF)insingleantennasystemsisexploited.
3、Abymergingthecommunicationdimensionsoccupiedbyinter-newcodingschemeisproposedinwhichseveraldatastreamsferingsignals.In[2],Maddah-Ali,Motahari,andKhandanihavingfractionalmultiplexinggainsaresentbytransmittersintroducedtheconceptofinterferencealignmentandshowedandinterferingstreamsareali
4、gnedatreceivers.Viewedasa?eldoverrationalnumbers,areceivedsignalhasin?niteitscapabilityinachievingthefullDegrees-Of-Freedom(DOF)fractionalDOFs,allowingsimultaneousinterferencealignmentforcertainclassesoftwo-userXchannels.Beingsimpleandofany?nitenumberofsignalsatany?nitenumberofreceiver
5、s.atthesametimepowerful,interferencealignmentprovidedtheThecodingschemeisbackedupbyarecentresultinthe?eldspurforfurtherresearch.BesidesloweringtheharmfuleffectofDiophantineapproximation,whichstatesthattheconvergenceoftheinterference,interferencealignmentcanbeappliedtopartoftheKhintchin
6、e-Groshevtheoremholdsforpointsonnon-degeneratemanifolds.Theproposedcodingschemeisprovedprovidesecurityinnetworks,c.f.[8].tobeoptimalforthreecommunicationchannels,namelytheThestudyofinteractionbetweentwouserssharingthesameGaussianInterferenceChannel(GIC),theuplinkchannelinchannelgoesbac
7、ktoShannon'sworkonthetwo-waychannelcellularsystems,andtheXchannel.ItisprovedthatthetotalKin[1].HisworkwasfollowedbyseveralresearchersandDOFoftheK-userGICisalmostsurely,i.e.eachuserenjoys2thetwo-userinterferencechannelemergedasthefundamentalhalfofitsmaximumDOF.HavingKcellsandMuserswit
