L-1 NORM MINIMIZATION IN GPS NETWORKS

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dc.contributor.authorYetkin, M.
dc.contributor.authorInal, C.
dc.date.accessioned2020-03-26T18:15:08Z
dc.date.available2020-03-26T18:15:08Z
dc.date.issued2011
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractThe least squares method is a statistical tool for the estimation of unknown parameters. All the results which are derived from the method of least squares are deteriorated when outliers are present in the observation data. Therefore, outliers have to be detected and eliminated by using statistical tests or robust methods. For this purpose, L-1 norm minimization, which is a robust method, can be used in geodetic networks. In this paper, the formulation of L-1 norm minimization for correlated observations is presented. The method is applied to a simulated GPS network. The performances of the least squares method and L-1 norm minimization are compared in the cases of observations with or without outliers. Our example shows that L-1 norm minimization is a more successful method than the least squares method for outlier detection and the obtained coordinates are more reasonable and reliable than those from the least squares when some observations are burdened with blunders.en_US
dc.description.sponsorshipSelcuk UniversitySelcuk Universityen_US
dc.description.sponsorshipThe authors would like to extend thanks to the Directorship of Selcuk University's Scientific Research Projects for their support of this study. They are grateful to J. R. Smith, the editor, and the anonymous reviewers for their valued comments. S. Yalvac is also acknowledged for his contribution to this study.en_US
dc.identifier.doi10.1179/003962611X13117748892038en_US
dc.identifier.endpage532en_US
dc.identifier.issn0039-6265en_US
dc.identifier.issue323en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage523en_US
dc.identifier.urihttps://dx.doi.org/10.1179/003962611X13117748892038
dc.identifier.urihttps://hdl.handle.net/20.500.12395/26612
dc.identifier.volume43en_US
dc.identifier.wosWOS:000295594400008en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMANEY PUBLISHINGen_US
dc.relation.ispartofSURVEY REVIEWen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectLeast squaresen_US
dc.subjectL-1 norm minimizationen_US
dc.subjectOutliersen_US
dc.subjectGPS networken_US
dc.titleL-1 NORM MINIMIZATION IN GPS NETWORKSen_US
dc.typeArticleen_US

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