随机噪声雷达信号性能分析

34120102()JournalofNanjingUniversityofScienceandTechnology(NaturalScience)Vol.34No.1Feb.2010:2008-10-23:2009-11-23:(60672075):(1982-),,,:,E2mail:[e-mail];:(1959-),,,,:,E2mail:[e-mail],,,(,210094):,,Taylor:,,,:;;;:TN957:1005-9830(2010)01-0126-05PerformanceAnalysisforRandomNoiseRadarSignalGAOXu2gang,SUWei2min,GUHong,ZHUMo2jun(SchoolofElectronicEngineeringandOptoelectronicTechnology,NUST,Nanjing210094,China)Abstract:Aimingattheresolutionabilityofrandomnoisesignal,amathematicexpressionofrangeresolutionisderivedforrandomnoisesignalontherectanglularandtheGaussianshapedpowerspectra.Basedonthetimecorrelationfunctionofsignal,Taylorseriesandhigh2orderequationsol2vingmethodisemployedintheoreticalderivation.TheresultshowsthattherandomnoisesignalontheGaussianshapedpowerspectrapossessesbetterresolutionabilityincomparisonwiththerandomnoisesignalontherectanglularshapedpowerspectraandthelinearfrequencymodulationsignalinthecaseofequalbandwidth,buttheirenergymaybeequal.Simulationillustratesthevalidityofthetheoreticalcalculation.Keywords:radarengineering;randomnoiseradars;rangeresolution;powerspectra,,,,[1-7]170,(Linearfrequencymodulation,LFM),,[6-8]3dB;[8],,,Taylor,,,1,,,,1.1,P(f)=Pf-B2,B20f|-B2,B2(1):BG()=B2-B2P(f)exp(j2f)df=PBsinc(B)(2):sinc(x)=sinx/x(2),sinc,-3dB,sinc(x)=sinxx=0.707(3):x=Bsinxx=0Taylor,sinxx=07sinxx-x33!+x55!+o(x6)=x-x36+x5120(4)(4)x=10-64.84(sincx2,),x=B=10-64.84B0.4442B(5)R=c22=0.8884c2B(6):cTaylor6,x1.5,Taylor[9],20.0025c2B0.0016c2B(7)0.0016c2B0.8884c2B=0.0018(8)(7)(8),(6)0.0016c/(2B),99%LFM1,LFMsinc,,LFM1.2,PG(f)=exp-f2B22(9):B,GG()=B2-B2PG(f)exp(j2f)df=Bexp-B22(10)exp(-x2),x,(10),B,1.1,721()341-3dB,e-x=0.707(11):x=(B/2)2e-xx=0Taylore-x=1-x+x22!-x33!+0(x3)=1-x+x22-x36(12)(12)x=0.3459(,)x=(B/2)2=0.2648/B,R=c22=0.5296c2B(13)Taylor,x0.4,Taylor[9],222100c2B0.0299c2B(14)0.0299c2B0.5296c2B=0.0565(15)(14)(15),(13)0.0212c/(2B),94%22.1[10],sFM(t)=Aexp[j2fct+j2KFM0tu(t)dt]=Aexp[j2fct+j2(t)](16):fc,u(t),(t)=KFM0tu(t)dt,AR()=E[s3FM(t)sFM(t+)]=A2E{exp[j2fc+j2((t+)-(t))]}(17)3,P=R(0)=A2,E=PT=A2T(18):T[-1,1]As(t)(A),E[A2s(t)s(t)]=A23(19)P=A2/3,E=13A2T(20)2.2LFMs(t)=A(t)ej2fct=ArecttTexp(j2fct+jKt2)(21):T,K=B/T,fc+Kt(-T/2tT/2),A(t),A[8],BT1,LFM|S(f)|=AKrectf-fcB(22)EL=fc+B2fc-B2|S(f)|2df=fc+B2fc-B2A2Kdf=A2T(23)(18)(20)(23):3T,[-1,1],LFM,,[-1,1]3LFMsinc,LFM3.11,LFM,100MHz100s,1000m82117012121(a)(b)1.21.32(a)(b)0.91.012,,3.22LFMB=6MHz0.2ms3(a)LFM,3(b)LFM3dB3(b),LFM0.9c/(2B)4(a),4(b)3dB4(b),0.6c/(2B)343LFM44:,,;921()341:[1]WangHong,NarayananRM,ZhouZhengou.ThrougthwallimagingbasedonelectromagneticmodelingusingUWBnoisewaveform[A].AntennasandPropagationSocietyInternationalSymposium[C].Piscataway,USA:[s.n.]2009:1-4.[2]AxelssonSRJ.Randomnoiseradar/sodarwithultra2widebandwaveform[J].IEEETransactionsonGeosci2enceandRemoteSensing,2007,45(5):1099-1144.[3]AxelssonSRJ.Noiseradarusingrandomphaseandfrequencymodulation[J].IEEETransactionsonGeo2scienceandRemoteSensing,2004,42(11):2370-2384.[4]LukinKA,MogylaAA,PalamarchukVP,etal.Ka2bandbistaticground2basednoisewaveformSARforshort2rangeapplications[J].IETRadarSonar&Navi2gation,2008,2(4):233-243.[5]GramatyukDS,NarayananRM.ECCMcapabilitiesofanultra2widebandband2limitedrandomnoiseimagingradar[J].IEEETransactionsonAerospaceandElec2tronicSystems,2002,38(4):1243-1255.[6]XuXiaojian.Radarpenetrationimagingusingultra2widebandrandomnoisewaveforms[D].UniversityofNebraska,Lincoln,Nebraska,2002:13-15.[7]LukinKA.Millimeterwavenoiseradarapplications:Theoryandexperiment[A].PhysicsandEngineeringofMillimeterandSubmillimeterWavesSymposiumPro2cessdings[C].Kharkov,Ukraine:[s.n.],2001:68-73.[8]SkolnikMI.[M].,,,.:,2003:18-68.[9],.[M].:,2007:323-329.[10].[M].:,1999:141-152.031