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Sequential Best Integer-Equivariant Estimaton for GNSS

Brack, Andreas and Henkel, Patrick and Günther, Christoph (2014) Sequential Best Integer-Equivariant Estimaton for GNSS. Navigation, Journal of the Institute of Navigation, 61 (2), pp. 149-158. Wiley. DOI: DOI: 10.1002/navi.58 ISSN 0028-1522

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/navi.58/full


The key to high precision parameter estimation in global navigation satellite system (GNSS) applications is to properly deal with the integer valued carrier-phase ambiguities. The class of integer estimators fixes all ambiguities to integer values. This can also decrease the precision of the estimates of the non-ambiguity parameters, if the fixing is incorrect. The best integer-equivariant (BIE) estimator is optimal in the sense of minimizing the mean-squared error (MSE) of both the ambiguities and the real valued parameters, regardless of the precision of the float solution. However, the BIE estimator comprises a search in the integer space of ambiguities, whose complexity grows exponentially with the number of ambiguities. This search is not feasible for large-scale network solutions. To overcome this problem, a sequential BIE (SBIE) algorithm is proposed, which shows close to optimal performance with only linearly increasing complexity. Numerical simulations are used to verify the performance of the SBIE algorithm.

Item URL in elib:https://elib.dlr.de/93066/
Document Type:Article
Title:Sequential Best Integer-Equivariant Estimaton for GNSS
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Brack, Andreasandreas.brack (at) tum.deUNSPECIFIED
Günther, Christophchristoph.guenther (at) dlr.deUNSPECIFIED
Date:1 June 2014
Journal or Publication Title:Navigation, Journal of the Institute of Navigation
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
DOI :DOI: 10.1002/navi.58
Page Range:pp. 149-158
Keywords:Ambiguity estimation, BIE estimation, Low complexity implementation, GNSS
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Communication and Navigation
DLR - Research area:Raumfahrt
DLR - Program:R KN - Kommunikation und Navigation
DLR - Research theme (Project):R - Verläßliche Navigation (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Communication and Navigation
Deposited By: Günther, Prof.Dr. Christoph
Deposited On:05 Dec 2014 09:31
Last Modified:06 Sep 2019 15:23

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