慢衰落信道下高阶调制编码协作方案及性能分析[1]

:20071020:863(2006AA01Z270);(60496316,60772138);(U0635003);(B08038):(1979),,,,Email:[e-mail].宫丰奎,韩春雷,王勇,葛建华(西安电子科技大学综合业务网理论及关键技术国家重点实验室,陕西西安710071):提出一种基于高阶星座调制的高效编码协作方案.用户或协作伙伴的编码比特分组后分别通过比特交织器,之后映射到高阶二维星座按分配时隙发送.推导了该协作方案在慢瑞利衰落信道下的成对错误概率.理论分析以及仿真结果都表明,慢瑞利衰落信道下,本方案在提高频谱效率的同时可获得完全分集.:编码协作;成对错误概率;分集;高阶二维星座;比特交织器:TN911:A:10012400(2008)04066404DesignandanalysisofaCCschemewithhighorderconstellationsoverslowfadingrayleighchannelsGONGFengkui,HANChunlei,WANGYong,GEJianhua(StateKeyLab.ofIntegratedServiceNetworks,XidianUniv.,Xian710071,China)Abstract:Ahighefficientcodedcooperative(CC)schemewithhighorderconstellationsisproposed.Inthisscheme,encodedbitsoftheuserorthepartnerarepartitioned,bitinterleaved,mappedonahighordertwodimentionalconstellationandthentransmittedontheallocatedtimeslots.ThepairwireerrorprobabilityoverslowfadingRayleighchannelsarederived.BoththeoreticalanalysisandsimulationsshowthatthecodedcooperationwithhighorderconstellationscanachievefulldiversitywithanimprovedspectrumeffciencyoverslowfadingRayleighchannels.KeyWords:codedcooperation;pairwiseerrorprobability;diversity;highordertwodimensionalconstellation;bitinterleaver,.(MultipleInputMultipleOutput,MIMO),.,.,,,,MIMO.[1,2],MIMO,.(CodedCooperation,CC).[3,4],,BPSKCC.CC,CC[5,6]CC[7]CC[8].BPSK,.,CC.CC,,20088354()JOURNALOFXIDIANUNIVERSITYAug.2008Vol.35No.4(BitInterleavedCodedModulation,BICM)CC.,.TDMA..1基于二维星座调制的CC方案,1.,:u(u=1,2),,f,f=1,2;FkTDMAk,k=1,2,3,4;r(k)(n)kn;xu,f(n)ufn;m.图1基于二维星座调制的CC方案实现框图(协作用户1为例):K(LCRC,CyclicRedundancyCheck)RCPC(RateCompatiblePuncturedConvolutionalCode)P=P1+P2(R=K/P).1,uP1xu,1=[xu,1(1),xu,1(2),!,xu,1(P1/m)](P1,P2m).,CRC,2,u2,P2xu2,2=[xu2,2(1),xu2,2(2),!,xu2,2(P2/m)](2).u22xu,2=[xu,2(1),xu,2(2),!,xu,2(P2/m)].2慢衰落信道下基于PEP的CC性能分析(PEP),1.:c^c,d;x^xc^c,P(x∀^x)PEP;f(d,,)P(c∀^c)x^xP(x∀^x).,c^cd,,x^xx=[x1,!,xd],^x=[x^1,!,x^d].uhuhu=[hu,1,!,hu,d],u=1,2.,,hu,1=hu,2=!=hu,d=hu.,,PEPP(x∀^xh1,h2)=Q12N1h21#d1e=1xe-x^e2+12N2h22#d2e=1xe-x^e21/2,(1)Nuu,Q(x)=∃%0exp-x22sin2dh,665第4期宫丰奎等:慢衰落信道下高阶调制编码协作方案及性能分析Eh{exp(-!h2)}=1(1+E[h2]!)PEPP(x∀^x)=Eh1,h2[P(x∀^xh1,h2)]=∃%0∃%0P(x∀^xh1,h2)P(h1)P(h2)dh1dh2=1∀∃∀/20∃%0∃%0exp-12sin2h212N1#d1e=1xe-x^e2+h222N1#d2e=1xe-x^e2p(h1)p(h2)dh1dh2d=1∀∃∀/201+E[h21]4sin2N1#d1e=1xe-x^e2-11+E[h22]4sin2N2#d2e=1xe-x^e2-1d,(2)(2),,Q(x)12exp-x22,(1):P(x∀^xh1,h2)12exp-14N1h21#d1e=1xe-x^e2exp-14N2h22#d2e=1xe-x^e2.(3)(3)(2),P(x∀^x)Eh1,h212exp-14N1h21#d1e=1xe-x^e2exp-14N2h22#d2e=1xe-x^e2=121+E[h21]4N1#d1e=1xe-x^e2-11+E[h22]4N2#d2e=1xe-x^e2-1,(4)(4)P(x∀^x)121+#d1e=1#1,e-11+#d2e=1#2,e-1,(5)#u,e=(E[h2u]/(4Nu))xe-x^e2.Gray,#u,e,:f(d,,)1211+d1#111+d2#2,(6)#u=E[h2u]m2m#mk=1#1b=0#xi&(b,k)xi-xi24Nu,.xixi,(i,b)ib.(6)BICM[9].(6),,#u,f(d,,).,BPSK,2a,1,(6)f(d,,)1211+d1∃111+d2∃2,(7),∃u=a2NuE[h2u]=EsNuu.(7)Hunter[4].,:f(d,,)121+dE[h2]m2m#mk=1#1b=0#xi&(b,k)xi-xi24N0-1.(8)(6)(8),,,d1d2,.3计算机仿真:K=512,[5,7,7,7]RCPC,1/41/2,P1=P2=1024.1024(1).GRAYQPSK16QAM,Viterbi[10,11]..,666西安电子科技大学学报(自然科学版)第35卷.图2用户2上行信道信噪比固定时用户1的性能比较图3两用户上行链路信道质量相同时的协作性能2210dB20dB1,QPSK16QAM.,,10dB6dB(QPSK);20dB12dB(16QAM).Hunter[4]BPSK,,,,(7).3,.,31.,,.3,,1dB.4结论CC.,CC..,..:[1]SendonarisA,ErkipE,AazhangB.UserCooperationDiversitypartI,II[J].IEEETransonCommunications,2003,51(11):19271948.(下转第702页)667第4期宫丰奎等:慢衰落信道下高阶调制编码协作方案及性能分析LandsatImages[J].JOptSocAm,A,1999,16(3):467474.[5]OckyDA.ImageMergingandDataFusionbyMeansoftheDiscreteTwoDimensionalWaveletTransform[J].JOptSocAm,A,1995,12(9):18341841.[6]KingsburyNG.TheDualtreeComplexWaveletTransform:aNewTechniqueforShiftInvarianceandDirectionalFilters[C]//Proceedingsof8thIEEEDigitalSignalProcessingWorkshop.BryceCanyon:IEEE,1998:8689.[7]KingsburyNG.ImageProcessingwithComplexWavelets[J].PhilosophicalTransactions:MathematicalPhysicalandEngineeringSciences,1999,357(1760):25432560.[8]KingsburyNG.ComplexWaveletsforShiftInvariantAnalysisandFilteringofSignals[J].AppliedandComputationalHarmonicAnalysis,2002,10(3):234253.[9]DonohoDL,StoneJIM.IdealSpatialAdaptationViaWaveletShrinkage[J].Biometrika,1994,81(2):425455.[10]SelesnickIW.HilbertTransformPairsofWaveletBases[J].IEEETransonSignalProcessing,2001,8(6):170173.[11]TateNJ,AtkinsonPM.ModellingScaleinGeographicalInformationScience[M].England:JohnWiley&SonsLtd,2001:1335[12]SwarmakarV,AcharyaRS.FractalDimensionEstimationUsingContinuousAlternatingSequentialFilterPyramid[J].ImageProcessing,1995,(13):652655.[13]PentlandAP.FractalBasedDescriptionofNaturalScenes[J].IEEETransonPatternAnalysisandMachineIntelligence,1984,6(6):661674.[14]PentlandAP.ShadingintoTexture[J].ArtificialIntelligence,1986,29(2):147170.(编辑:齐淑娟)(上接第667页)[2]LanemanJN,TseDNC,WornellGW.CooperativeDiversityinWirelessNetworks:EfficientProtocolsandOutageBehavior[J].IEEETransonInformationTheory,2004,50(12):30623080.[3]HunterTE,NosratiniaA.DiversityThroughCodedCooperation[J].IEEETransonWirelessCommunications,2006,52(2):283289.[4]HunterTE,SanayeiS,NosratiniaA.OutageAnalysisofCodedCooperation[J].IEEETransonInformationTheory,2006,52(2):375391.[5]StefanovA,ErkipE.CooperativeCodingforWirelessNetworks[J].IEEETransonCommunications,200