对称三角线性调频连续波信号模糊函数分析

张容权,杨建宇,熊金涛,向敬成(,610054):,,;LFM;,.:;;:TN959.1:A:0372-2112(2004)03-0353-04AnalysisofAmbiguityFunctionofSymmetricalTriangularLinearFrequencyModulationContinuousWaveSignalZHANGRong-quan,YANGJian-yu,XIONGJin-tao,XIANGJing-cheng(CollegeofElectronicEngineering,UniversityofElectronicsScienceandTechnologyofChina,Chengdu,Sichuan610054,China)Abstract:Basedonthecharacteristicofsymmetricaltriangularfrequencymodulationcontinuouswave(STMFCW)radarprin-ciple,theambiguityfunctionofSTFMCWsignalispresentedandanalyzed.ThedifferencesbetweentheambiguityfunctionofSTMFCWsignalandsingleslopelinearfrequencymodulationcontinuouswavesignalandpulseLFMsignalarealsodiscussed.Inaddition,fromthepropertyofitsambiguityfunction,itisindicatedthatusingtheSTFMCWsignalcanconsiderablyenhancetheresolutionandelim-inatetherange-velocitycouplingofmovingtargetundermult-itargetenvironments.Keywords:STFMCW;ambiguityfunction;range-velocitydecoupling1,.,;--[1].,.,LFM[2].,[2],./,.,,.21,/Tup=[-T,0]Tdow=[0,T]:s+T(t)=Acos{2P[(f0+B/2)t+Lt2/2]+0}(1)s-T(t)=Acos{2P[(f0+B/2)t-Lt2/2]+0}(2)2T,Sm,B,f0,0.1:2003-03-03;:2003-10-24:(No.41307040403);(No.B13010201KSJ0202)320043ACTAELECTRONICASINICAVol.32No.3Mar.2004R1R2,v1v2,R1(t)=R1-v1t[cSm/2R2(t)=R2-v2t[cSm/2,S1(t)=2R1(t)/cS2(t)=2R2(t)/c;;T+e=[Sm-T,0]T-e=[Sm,T]:s+1(t)=s+T[t-S1(t)]s+2(t)=s+T[t-S2(t)](3)s-1(t)=s-T[t-S1(t)]s-2(t)=s-T[t-S2(t)](4)(3)(4),-T+eT-e,T+eT-e:E2=Q0cm-T[s+1(t)-s+2(t)]2dt+QTcm[s-1(t)-s-2(t)]2dt=E21+E22(5)SmnT,(5)[-T,0][0,T].(1)(3)(5),[-T/2,T/2],E21:E21=2E-2EReej2PScf0-12LSc1-12LSc21TQT/2-T/2ej2P(LSc-N)t#e-j2PLNf0t2ej2P(LScfd1+fd22f0t-Lvf0fd1+fd22f0t2+Lvf0Sc1+Sc22t)dt(6)E=A2T/2,fd1=2v1/K0fd2=2v2/K0K0=c/f0N=fd2-fd1S1=2R1/cS2=2R2/cS=S2-S1Sc1=S1+fd1T/(2f0)Sc2=S2-fd2T/(2f0)Sc=S+NT/(2f0).f0mL(S1+S2)/2(fd1+fd2)/2nf0(S1+S2)/2nT,(6):E21=2E-2EReej2Pf0(S+NT2f0)1TQT/2-T/2ej2P[L(S+NT2f0)-N]te-j2PLNf0t2dt(7)E22:E22=2E-2EReej2Pf0(S-NT2f0)1TQT/2-T/2ej2P[L(S-NT2f0)+N]tej2PLNf0t2dt(8)(7)(8):E2=E21+E22=4E-4EReej2Pf0SV(S,N)(9)V(S,N)=ejPNT/(2T)QT/2-T/2ej2P[L(S+NT2f0)-N]te-j2PLNf0t2dt+e-jPNT/(2T)QT/2-T/2ej2P[L(S-NT2f0)+N]tej2PLNf0t2dt=ejPNTV+(S,N)+e-jPNTV-(S,N)(10)€S=S/(1/B),€N=N/(1/T),B=B/f0,C(x)=Qx0cos(Py2/2)dyS(x)=Qx0sin(Py2/2)dy,(10):VB(€S,€N)=V(€S/B,€N/T)=ejP€NV+B(€S,€N)+e-jP€NV-B(€S,€N)=(4B€N)-1/2e-jP€NejP2[€S-(1-B2€N]2/B€N{[C(x1)+C(x2)]-j[S(x1)+S(x2)]}+(4B€N)-1/2e-jP€Ne-jP2[€S+(1-B2€N]2/B€N#{[C(x3)+C(x4)]+j[S(x3)+S(x4)]}(11)x1=B€N+[€S-(1-B/2)€N](B€N)-1/2x2=B€N-[€S-(1-B/2)€N](B€N)-1/2x3=B€N+[€S+(1-B/2)€N](B€N)-1/2x4=B€N-[€S+(1-B/2)€N](B€N)-1/2(11),VB(€S,€N)B,B.2(a)(b)B=3%B=25%|VB(€S,€N)|.23LFM,.,(10)e?j2PLNt2/f0,,D=BTLFM,Dnc/2v;LFM,;,(10)[-T/2,T/2],(-],]),,T+eT-e,.4,3dB[2],:3542004,,,,,€S=?(1-B/2)€N.2V+B(€S,€N)2V-B(€S,€N),[2].(11),|VB(€S,€N)|=|VB(-€S,-€N)|,|VB(€S,€N)|=|VB(-€S,€N)|,|VB(€S,€N)|=|VB(€S,-€N)|,€S€N.V+B(€S,€N)V-B(€S,€N)€S-€N€S=?(1-B/2)€N,€S,:V+B[(1-B/2)€N-€S0,€N]=V+B[(1-B/2)€N+€S0,€N](12)V-B[-(1-B/2)€N-€S0,€N]=V-B[-(1-B/2)€N+€S0,€N](13)VB(€S,€N)€S=?(1-B/2)€N.€S€N€S=?(1-B/2)€N,VB(€S,€N),VB(€S,€N)€S-€N€S=?(1-B/2)€N,,:VB[?(1-B/2)€N-€S0,€N]=VB[?(1-B/2)€N+€S0,€N](14)B,V+B(€S,€N)V-B(€S,€N)€S=?(1-B/2)€N,VB(€S,€N),:VkB[?€N(1-B/2)/k-€S0,€N/k]=VB[?€N(1-B/2)-€S0,€N](15)e?j2PB€Nt2,B,e?j2PB€Nt2€S=?(1-B/2)€N.2(a)(b).VB(€S,€N)€S=0VB(0,€N)Ucos(P€N)sinc(P€N),D€N=1/2,DN=1/(2T),3(a).VB(€S,€N)€N=0,VB(€S,0)=sinc(P€S),D€S=1,DR=c/(2B),3(b).5(Bn1)2,,€S=?€NX0(N=?LSX0),,,.,5,º»23N=LSX0,,(2)(3),,,,,.512€SX?€N(NX?LS),,3553:,,.FFT,,[3],,.4,LFM.,e?j2PLNt2/f0,[-T/2,T/2],(-],]).,3dB,.///,,.:[1]AGStove.LinearFMCWradartechniques[J].IEEEProceeding-F,1992,139(5):343-340.[2].LFMCW[J].,2002,18(1):39-42.[3],,.LFMCW[A].[C].:,2002.58-61.:,19759,1999,,.,19638,1991,.:LFMCW,,,.3562004