GPS LAMBDA算法.pdf

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LGR-Series Publications of the Delft Geodetic Computing Centre No. 12 The LAMBDA method for integer ambiguity estimation: implementation aspects Paul de Jonge and Christian Tiberius August 1996 Delft University of Technology

The LAMBDA method for integer ambiguity estimation: implementation aspects Paul de Jonge and Christian Tiberius August 1996 Delft Geodetic Computing Centre Delft University of Technology Faculty of Geodetic Engineering Thijsseweg 11 2629 JA Delft The Netherlands Office: Telephone: Telefax: Telex: E-mail: (31) 15-2783546 (31) 15-2783711 butud 38151 lgr@geo.tudelft.nl

This report was ftp’d from ftp://ftp.geo.tudelft.nl/pub/dejonge/papers/ lgr12.ps: lgr12.zip: lgr12.ps.Z: Postscript version idem, zipped idem, Unix compressed ISSN: Press: 93-0928-2122 Universiteitsdrukkerij TU Delft

Contents iii Preface v Abstract Introduction Parameterestimation :::::::::::::::::::::::::: .Observationequations .Estimationcriterion:::::::::::::::::::::::::::: .Floatsolution::::::::::::::::::::::::::::::: Integerambiguityestimation::::::::::::::::::::::: . .Fixedsolution::::::::::::::::::::::::::::::: Integerambiguityestimation:transformation Introduction:::::::::::::::::::::::::::::::: . .ThedecorrelatingorZ-transformation,introduction:::::::::: .Thedecompositionofthevariance-covariancematrix::::::::: .Modifyingthedecomposition::::::::::::::::::::::: .TheintegerGausstransformation:::::::::::::::::::: .Thereorderingoftheconditionalvariances::::::::::::::: .Puttingitalltogether :::::::::::::::::::::::::: .ExampleZ-transformation:::::::::::::::::::::::: . Concludingremarks:::::::::::::::::::::::::::: Integerambiguityestimation:search . Introduction:::::::::::::::::::::::::::::::: .Sequentialconditionalleast-squaresestimation::::::::::::: .Computationofthebounds ::::::::::::::::::::::: .Computationofthenorm:::::::::::::::::::::::: .Thesearchalgorithm::::::::::::::::::::::::::: .Collectingandstoringthecandidates:::::::::::::::::: .Alternatingsearcharoundtheconditionalestimate:::::::::: .Shrinkingtheellipsoidalregion::::::::::::::::::::: . Thevolumeoftheellipsoidalregion::::::::::::::::::: .Setting,I:::::::::::::::::::::::::::::::: .Setting,II ::::::::::::::::::::::::::::::: .Exampleambiguitysearch:::::::::::::::::::::::: i

ii Contents .Thebacktransformation::::::::::::::::::::::::: .Concludingremarks:::::::::::::::::::::::::::: Flowdiagramoftheparameterestimation Concludingremarks AInversionofatriangularmatrix References LAMBDAbibliography

Preface ThedevelopmentoftheLAMBDAmethodforambiguityresolutionstartedwithits introductionattheIAGGeneralMeetinginBeijingin [].Theimplementa- tionhasbeenrealizedbyP.J.deJongeandC.C.J.M.Tiberiusundersupervisionof professorP.J.G.Teunissen. Theunderlyingreportprovidesalowleveldescriptionofthemethodinitscurrent implementation.Mrs.D.Moruj~aooftheUniversityofCoimbra,Portugal,andMr. D.CharrierofSERCEL,France,areacknowledgedforpointingouterrorsinthedraft andsuggestingseveralimprovements.Thesecondauthorreceivednancialsupport oftheCornelisLelyfoundationofRijkswaterstaat. iii

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