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©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(1999)03-0001-07(509,200240):,,,,,,:;;;+;+:TN95:ASTUDYONDIRECTION2FINDINGANDPOSITIONWITHPHASEINTERFEROMETERSYUANXiao2kang(No.509InstituteofSAST,Shanghai200240,China)Abstract:Itiswellknownthatthephaseinterferometerisveryimportantinthedirection2findingandpositionoftarget.Inthispaper,thebasicrelationofphaseinterferometerofone2dimension,two2dimensions,andthree2dimensionsaregiven.Andthemeasurementaccuracyandtheapproachofsolvingthephaseambiguityinthephaseinterferometershavebeendiscussedindetail.Theequationsoftargetpositionanditserrorsinthesatellite2bornephaseinterferometerhavebeenalsoderived.Keywords:Radiationsourcepositioning;Electronicreconnaissance;+Phaseinterferometer;+Directionfindingandpositioning:1998-09-14;:1998-11-12:(1939),,,,,0,[1,2],,;,,,,,119993AEROSPACESHANGHAI©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.()A1A21=(2d/)sin=2nsin(1),;;n=d/(2),,=arcsin(/2n)(3)(1),n,(),n,2(-),(2,2)(1),n1/2,,(-,),,n(-u,u),u=arcsin(1/2n)(4)2un2un,()1.2,AoB,,3,ox,ozo,oyT(),A=2ncosx(5)B=2ncosy(6),xy(oT)xy;ABABo,cosxcosyoT,oToTcosz=1-cos2x-cos2y(7)2AEROSPACESHANGHAI19993©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.=oTz,()3,AB,oT,,T1.33,(z)C(o,o,-d),(oABC)A=2ncosxB=2ncosyC=2ncosz,,coszcosz=c/2n(7),,,(),f=c2d2A+2B+2C(8),c,(),,,,1.4(1),2=2d1cos22+tan22+tand22d(9),;;();d(9),(),(9),:,(),,[1]1=12(SNR)(10)319993:©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(9),,=0(),1(9),/n1/nn0102030405060700.50.320.320.340.370.420.490.640.931.00.160.160.170.180.210.250.320.461.50.110.110.110.120.140.160.210.312.00.0800.0800.0850.0930.110.120.160.232.50.0640.0640.0680.0740.0840.0980.130.193.00.0530.0530.0570.0620.0700.0820.110.163.50.0460.0460.0490.0530.0600.0700.0910.134.00.0400.0400.0430.0460.0530.0610.0800.124.50.0360.0360.0380.0410.0470.0540.0710.105.00.0320.0320.0340.0370.0420.0490.0640.0931.5,;,(),,1.5.1,4,x4A0A1A2A3Ai(i=13)A0i,d3,d2d14(1),A1=2n1sin=2k1+a1,k1n1=d1/A2=2n2sin=2k2+a2,k2n2=d2/A3=2n3sin=2k3+a3,k3n3=d3/,Aidi,ai,d1:(A0A1),,n11/2,k1=0k3,k1=0,A1=a1k2=[(n2/n1)A1-a2]/2,A2=2k2+a2k3=[(n3/n2)A2-a3]/2,A3=2k3+a3,ki=[(ni/ni-1)Ai-1-ai]/2,Ai=2ki+ai(11)ni/ni-1=di/di-1,4AEROSPACESHANGHAI19993©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.=a1=a1+a1A2=2k2+a2=2k2+a2+a2,a1a2,a1a2k2k2=(n2/n1)a1-a22+(n2/n1)a1-a22,k2,k2-12(n2/n1)a1-a2212,k2,a1n2/n1,a2,k2,,(n2/n1)ai-1+ai212nini-1-aiai-1ai=ai-1=a,nini-1(a-1)(12)a(ni/ni-1)+1(13)(12)a;(13)1.5.2,,A=2nsin=2k+a,,,=+A,,k=2nsin-a2+2ncos-a2,k,-122ncos-a212(14)k,1-(a/)2ncos(15)n1-(a/)2cos(16)22.13()T,519993:©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(),A=2ncosx=2nsincosB=2ncosy=2nsinsin=arctanBA(17)=arcsin2A+2B2n(18),(18)(+)5,Tor=oT=RE[arcsin(RE+HREsin)-](19),H;RE,3xoy,T(X,Y)X=Htancos(20)Y=Htansin(21)5T()2.22.2.1(17),d=12A+2B(-BdA+AdB)=12n-cosdA+sindBsin(22)(18),d=1cos12n12A+2B(AdA+BdB)=12nsindA+cosdBcos(23)(22)(23)2=(1/2nsin)2(cos22A+sin22B)(24)2=(1/2ncos)2(sin22A+cos22B)(25)2.2.23,r=Dsin(26),r;D,D=RE(sin/sin)(27)5,=arcsin(RE+HREsin)-(28)(19)r=RERE+HREcos1-(RE+HREsin)2-1(29),6AEROSPACESHANGHAI19993©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.=(D/sin)(30),D(27);(oT5),cos=[(RE+H)/RE]sin=(Rs/RE)sin(31),r,(20)(21)(X)2=(Htansin)22+(Hcoscos2)22+(costan)22H(32)(Y)2=(Htancos)22+(Hsincos2)22+(tansin)22H(33)2.2.3,[3,4]:a.;b.;c.,,,,:()I;C;Rs,RT,(,);,()22/km/rad/radDsinD/sinI/kmI(RE/Rs)1-(sinsin)2C/kmC(RE/Rs)1-(sincos)2Rs/kmRssin/sinRT/kmT/sRT/tanTvecos(lat)ve=464m/s();lat3,,,,,,1.[J].,1982;(7):5875.2.[M].:,1985.3WertzJR,LarsonWJ.[M].:,1992.4.[J].,1996;(3):15.719993: