Single-Epoch GNSS Array Integrity: An Analytical Study

  • A. KhodabandehEmail author
  • P. J. G. Teunissen
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 142)


In this contribution we analyze the integrity of the GNSS array model through the so-called uniformly most powerful invariant (UMPI) test-statistics and their corresponding minimal detectable biases (MDBs). The model considered is characterized by multiple receivers/satellites with known coordinates where the multi-frequency carrier-phase and pseudo-range observables are subject to atmospheric (ionospheric and tropospheric) delays, receiver and satellite clock biases, as well as instrumental delays. Highlighting the role played by the model’s misclosures, analytical multivariate expressions of a few leading test-statistics together with their MDBs are studied that are further accompanied by numerical results of the three GNSSs GPS, Galileo and BeiDou.


Array model GNSS misclosures Integrity Minimal detectable bias (MDB) Uniformly most powerful invariant (UMPI) test-statistic 



P.J.G. Teunissen is the recipient of an Australian Research Council Federation Fellowship (project number FF0883188).


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of Spatial SciencesGNSS Research Centre, Curtin University of TechnologyPerthAustralia
  2. 2.Department of Geoscience and Remote SensingDelft University of TechnologyDelftThe Netherlands

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