Single-epoch GNSS array integrity: An analytical study

A. Khodabandeh*, P. J G Teunissen

*Corresponding author for this work

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

11 Citations (Scopus)


In this contribution we analyze the integrity of the GNSS array model through the socalled 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 teststatistics together with their MDBs are studied that are further accompanied by numerical results of the three GNSSs GPS, Galileo and BeiDou.

Original languageEnglish
Title of host publication8th Hotine-Marussi Symposium on Mathematical Geodesy - Proceedings of the Symposium
Number of pages9
ISBN (Print)9783319245485
Publication statusPublished - 2016
Event8th Hotine-Marussi Symposium on Mathematical Geodesy, 2013 - La Sapienza, Italy
Duration: 17 Jun 201321 Jun 2013


Conference8th Hotine-Marussi Symposium on Mathematical Geodesy, 2013
CityLa Sapienza


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


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