阵列接收宽带信号的建模方法及仿真

:200659于红旗刘剑黄知涛周一宇(国防科学技术大学电子科学与工程学院,长沙410073)总结了窄带信号的定义,对阵列接收窄带信号进行建模,提出三种宽带信号的建模方法,仿真了带宽对MUSIC算法和源个数估计算法的影响,指出了后续研究方向阵列信号处理宽带信号仿真MUSIC算法AIC算法ModelingMethodandSimulationofWidebandSignalsReceivedbyanArrayAntennaYuHongqiLiuJianHuangZhitaoZhouYiyu(SchoolofElectronicSci.andEng.,Nat.Univ.ofDefenseTech.,ChangSha410073,China)Abstract:Inthispaper,thedefinitionofnarrowbandsignalsissummarized,themodelofnarrowbandsignalsreceivedbyanarrayantennaisestablished.Threesimulatedmodelingmethodsofwidebandsignalsreceivedbyanarrayantennaarepresented.TheeffectsofMUSICalgorithmandAICalgorithmunderdifferentwidebandaresimulated.Keywords:Arraysignalprocessing;WidebandSignalSimulation;MUSICalgorithm;AICalgorithm0,:,,,,MUSIC[1],ESPRIT[2],,,,,,,,,,,,MUSICAIC,200642006,No.4ELECTRONICWARFARE109SeriesNo.1091,,B,T,f0,[3]1:Bf0,Bf01,Bf0012:2vc1TB,v,c3:(N-1)dc1B,N,d4:2b+11,b,[9]5:[10]1!,,2!,T,,,,3!,,,4!5!,,,,,,1!3!4!5!,fl()fh()x(t),B=fh-fl,,fs2(f0+B/2),f0,fs,,,fs,x(t)[5]:,fh=nB,n,fs2B,fh=nB+B,01,n,fs2B(1+/n),fs2(fh-fl)n,n,2fhn+2fln-1fs,,FCC(FederalCommunicationsCommission)[4],FCC!:()20%,500MHz2N,,n:r0=[0,0,0]T,rn=[rxn,ryn,rzn]TK,ntxn(t)=∀Kk=1sk(t+nk)+nn(t)(1)sk(t)tk,nn(t)n,nkkn,nk=1cgTkrn=1c[rxncos(k)cos(!k)+820064rynsin(k)cos(!k)+rznsin(!k)](2)gTk=[cos(k)cos(!k),sin(k)cos(!k),sin(!k)]k,c,k!kf0,,sk(t)!sk(t),sk(t+)!sk(t)ej2∀f0maxB,,[8]X(t)=A(#,∃)S(t)+N(t)(3)X(t)N#1,N(t)N#1X(t)=[x1(t),∃,xN(t)]TN(t)=[n1(t),∃,nN(t)]TS(t)K#1S(t)=[s1(t),∃,sK(t)]TA(#,∃)N#KA(#,∃)=[a(1,!1),∃,a(K,!K)]a(k,!k)a(k,!k)=[ej2∀fc1k,∃,ej2∀fcNk]T(3),,,,sk(t),,,sk(t+)!sk(t)ej2∀f0,,,3(3),(1),xn(f)=∀Kk=1sk(f)ej2∀fnk+nn(f)(4),,,X(f)=A(f,#,∃)S(f)+N(f)(5)X(f)S(f)N(f)X(t)S(t)N(t),A(f,#,∃),M,fs,,fm=mfs/M,(m=0,1,∃,M-1),X(fm)=A(fm,#,∃)S(fm)+N(fm)m=0,1,∃,M-1(6),ML,M/LM/Lfm=mfs/(M/L),(m=0,1,∃,M/L),,:X(fm)=A(fm,#,∃)S(fm)+N(fm)m=0,1,∃,M/L(7):BWfLfH,L,kfk=fL+BW#k/L,fk,BW/L,,:,,109,:9;,,,,,,,,(6)(7)A(fm,#,∃)A(fm,#,∃)=[a(fm,1,!1),∃,a(fm,K,!K)]=1∃1∃1ej2∀fm21∃ej2∀fm2k∃ej2∀fm2K%%%%%ej2∀fmNk∃ej2∀fmNk∃ej2∀fmNKN#K(8)a(fm,k,!k)(k,!k)fm,4:nk=-(n-1)dsin(k)/c(9)ej2∀fmnk=e-j2∀fm(n-1)dsin(k)/c=e-j2∀(n-1)dsin(k)/&m(10)(8):A(fm,#,∃)=[a(fm,1,!1),∃,a(fm,K,!K)]=1∃1e-j2∀dsin(1)/&m∃e-j2∀dsin(k)/&m%%%e-j2∀(N-1)dsin(1)/&m∃e-j2∀(N-1)dsin(k)/&m∃1∃e-j2∀dsin(K)/&m%%∃e-j2∀(N-1)dsin(K)/&mN#K(11),:BW(Hz),,fL=FC-BW/2fL=FC+BW/2[fL,fH]M,MMfm,(m=1,2,∃,M),:&m,(m=1,2,∃,M)&m,DFT,IDFT,11Step1:(Nd=&0/2)(SNRdBFcK,BW)fsM;Step2:(K#M)BW,;Step3:M,BWFcfL=FC-BW/2fL=FC+BW/2,[fL,fH]M,&m,(m=1,2,∃,M);Step4:Step2FFT,(11),;Step5:Step4IFFT,,,:ML,M/LM/Lfl,(l=1,2,∃,M/L),:&l,(l=1,2,∃,M/L)&l,DFT,L,IDFT,,:BW(Hz),,fL=FC-BW/2fL=FC+BW/2[fL,fH]L,Lfk,(m=1,2,∃,L),,M,2:10,,2,1024,100Hz,40Hz,,DOA=10%,SNR=10,10200642Step1:(Nd=&0/2)(SNRdBFcK,BW)fsM;Step2:L,BWFcfL=FC-BW/2fL=FC+BW/2,[fL,fH]L,fk,(k=1,2,∃,L);Step3:fk(K#M),,;Step4:Step3,,1,FFT,,1(a),,,1(b),,40,1(c),MUSICDOA,20MUSIC2,AIC,50,AIC3(a)(a)(b)(c)1(a)01(b)02(c)052MUSICMUSIC,,,109,:11(a)(b)3AIC,,DOAFFT,MUSICDOA,2,20,4,MUSIC,,(ISM)[6],,,,,(CSM)[7]5,(a)01(b)02(c)054MUSIC,,MUSIC,,,,,,,(17)12200645121CGYeh.Bearingestimationswithmutualcouplingpresent.IEEETrans.onA.P.1989;37(10):1332-13352,..,1999;27(9):105-1073DSegoviaVargas,RMartinCuerdo,MSierraPerez.Mutualcouplingeffectscorrectioninmicrostriparraysfordirectionofarrival(DOA)estimation.IEEProcMicro.AntennasPropag,2002;149(2)4RMartin,DSegovia.mutualcouplingeffectsineigenvaluestructurealgorithmsbasedonmodalanalysis.ProceedingsofInternationalsymposiumonAP.OrlandoUSA.July1999:1608-16115JosephCLiberti,TheodoreSRappaport...:,20026,,.[M].:,1997(1973~),(),,,(1968~),(),,,,(1966~),(),,,(12)1ROSchmidt.Multipleemitterlocationandsignalparameterestimation.IEEETrans.AP,Mar.1986,34:276-2802RRoy,TKailath.ESPRITestimationofsignalparametersviarotationalinvariancetechniques.IEEETrans.ASSP,July1989,37;(7):984-9953,..:,19944..:,20055,,..:,20016MWax,TShan,TKailath.Spatiotemporalspectralanalysisbyeigenstructuremethods.IEEE.Trans.ASSP,Aug.1984,32:817-8277HWang,MKaven.Coherentsignalsubspaceprocessingforthedetectionandestimationofanglesofarrivalofmultiplewidebandsources.IEEETrans.ASSP,Aug.1985,33;(4):823-8318,,..:,19979KBuckley.Spatial/[e-mail],35;(3)(March1987):249~26610MZatman.Hownarrowisnarrowband.IEEProc.RadarSonarNavig.145;(2)(April1998):85~91(1978~),,,(1978~),,,,,EADS!(Barracuda)EADS公司的梭鱼!无人验证机已经完成首飞,这次飞行持续了20分钟梭鱼!无人验证机长8米,翼展7米,发动机由普惠加拿大公司提供,推力为14千牛接下来,该验证机还将分阶段分别搭载光电与红外传感器激光指示仪辐射源探测系统以及合成孔径雷达等完成一系列试验梭鱼!项目已经开展了3年109,:17