Single-epoch GNSS array integrity

An analytical study

Conference paper (2016)

Authors

Amir Khodabandeh Curtin University
P.J.G. Teunissen Mathematical Geodesy and Positioning - CEG , Curtin University
Research Group
Mathematical Geodesy and Positioning (CEG) (TU Delft)
Integrity Minimal detectable bias (MDB) Array model GNSS misclosures Uniformly most powerful invariant (UMPI) test-statistic
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Published Date

2016

Language

English

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Faculty

Civil Engineering & Geosciences

Department

Geoscience and Remote Sensing

Research Group

Mathematical Geodesy and Positioning

Abstract

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.