时差定位模型与定位精度分析

:TN971.1:A:1674-2230(2010)03-0016-05:2009-09-25;:2009-10-27:(1985-),,;(1964-),,;(1984-),,易云清,徐汉林,沈阳(,610036):讨论目标的定位精度通常只关心接收站的几何配置,而忽略定位求解模型的选择;通过对定位模型与定位精度之间依赖关系的深入研究,具体分析较少接收站情况下不同定位求解模型对目标定位误差的影响,给出了时差定位体制下几种不同的定位求解模型,并指出多点定位工程应用中模型选择应注意的问题以及解决这一问题的可行性思路:多点定位;时差定位模型;定位精度;误差分析AnalysisofTDOALocationModelandLocationPrecisionYIYunqing,XUHanlin,SHENYang(NationalInformationControlLaboratory,Chengdu610036,China)Abstract:Dealingwithlocationprecisionoftarget,muchattentionisputonsensorallocationwhilelocationalgorithmmodelisalwaysignored.Effectoftargetlocationerroratfewersensorsisanalyzedunderdifferentlocationalgorithmmodelsthroughstudyingrelationbetweenlocationalgorithmmodelandlocationprecision.Severallocationalgorithmmodelsareproposedintimedifferenceofarrival(TDOA)locationsystem,andthemainquestionswhichshouldbenoticedandtheviablesolutionisalsogivenatmodelchoiceinmultilateration(MLAT)project.Keywords:multilateration;TDOAlocatingmodel;locationprecision;erroranalysis1,[1,2],/,33[2-4],,,,,[5-10][1],;[2],,,2,,,;16,,25201053,,,,,,2.1,,121,1,S1,,1O,S1(x1,y1),S2(x2,y2),S3(x3,y3),r1r2r3,t21t31:r2-r1=ct21r3-r1=ct31(1),T,P,,!(0,!∀),1,:2x=(sin2+sin2!)(2T+2P)+(sin+sin!)22P[sin+sin!-sin(+!)]22y=[(1-cos)2+(1-cos!)2](2T+2P)+(cos-cos!)22P[sin+sin!-sin(+!)]2:Rcep=0.752x+2y=1.06[3-cos-cos!-cos(+!)]2P+(2-cos-cos!)2Tsin+sin!-sin(+!),,:Rcep1.06(2-cos-cos!)sin+sin!-sin(+!)T(2),,,,2,1S2,,,,,22,2,,,2(1),:2x=(sin2!+sin2!!)(2T+2P)+(sin!-sin!!)22P[sin!!-sin!+sin(!-!!)]22y=[(1-cos!)2+(1-cos!!)2](2T+2P)+(cos!-cos!!)22P[sin!!-sin!+sin(!-!!)]2:Rcep=0.752x+2y=1.06[3-cos!-cos!!-cos(!-!!)]2P+(2-cos!-cos!!)2T|sin!!-sin!+sin(!-!!)|,:Rcep1.06(2-cos!-cos!!)|sin!!-sin!+sin(!-!!)|T(3),2!,!!1,!:1725201053,,!=,!!=+!(3),:Rcep1.06(2-cos-cos(+!))sin+sin!-sin(+!)T(4)(2)(4),,,,:*0!∀/2,cos!cos(+!),(2)(4),,1;*∀/2!∀2∀-2!∀,cos!cos(+!),(2)(4),,2,,;,,2.2,YT;,333,T,S1S2S3S4S1:r2-r1=ct21r3-r1=ct31r4-r1=ct41(5):r2-r1=ct21r3-r2=ct32r4-r3=ct43(6),,,T,(5):AX=BX=xyz,A=a11a12a13a21a22a23a31a32a33,B=2T2T2T,a11=x-x2r2-x-x1r1,a12=y-y2r2-y-y1r1,a13=z-z2r2-z-z1r1,a21=x-x3r3-x-x1r1,a22=y-y3r3-y-y1r1,a23=z-z3r3-z-z1r1,a31=x-x4r4-x-x1r1,a32=y-y4r4-y-y1r1,a33=z-z4r4-z-z1r1,:X=A-1B(7),(6):A!X=BX=xyz,A!=a!11a!12a!13a!21a!22a!23a!31a!32a!33,B=2T2T2T,a!11=x-x2r2-x-x1r1,a!12=y-y2r2-y-y1r1,a!13=z-z2r2-z-z1r1,a!21=x-x3r3-x-x2r2,a!22=y-y3r3-y-y2r2,a!23=z-z3r3-z-z2r2,a!31=x-x4r4-x-x3r3,a!32=y-y4r4-y-y3r3,18,,25201053a!33=z-z4r4-z-z3r3,:X=A!-1B(8),3,,10ns,3.1,,(2)(4),:r=Rcep/R,Rcep,R12,1,(-30,0)(0,0)(30,0),442,1;1,25(a)1(b)255(a)(b),,1,2,(-150,100)(0,-100)(150,-50),662,11,267a)b),,2,(a)11925201053,,(b)2712,,,1;,2,2.13.2,,1(7)(8),,3Y,:(0,-30,0)(0,0,0)(-30,30,0)(30,30,0),82,1;1,28Y99a)b),Y21;a)b)c),(a)1(b)2(c)l1,l2,l394,,,,,,;Y,(38)20,,25201053,,();,,,,AN/ALQ-211,,∀#∀#AN/ALQ-167V,*,(),,5,,,200320085,245,:[1],.[M].:,2000.[2].[M].:,2006.[3].[M].:,2003.(20),;,,,,,,,,:[1],.[J].,2005,27(4):578-581.[2],,.[J].,2007,29(8):12-14.[3],,.[M].:,1996.[4].[D].:,2000.[5]CHANYT,HOKC.ASimpleandEfficientEstimatorforHyperbolicLocation[J].IEEETransonSignalProcession,1994,42(8):1905-1915.[6]HOKC,LUXiaoning,KOVAVISARUCHL.SourceLocalizationUsingTDOAandFDOAMeasurementsinthePresenceofReceiverLocationErrors:AnalysisandSolution[J].IEEETransactionsonSignalProcessing,2007,55(2):684-696.[7]TORRIERIDJ.StatisticalTheoryofPassiveLocationSystems[J].IEEETransAerospElectronSyst,1984,20(2):183-198.[8],,.[J].,2007(7):19-21,24.[9].[J].,2007,22(4):9-11,53.[10].[M].:,2004.38,25201053