Single-epoch GNSS array integrity: An analytical study

A. Khodabandeh; P. J G Teunissen

doi:10.1007/1345_2015_64

Single-epoch GNSS array integrity: An analytical study

^*Corresponding author for this work

Mathematical Geodesy and Positioning

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

12 Citations (Scopus)

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.

Original language	English
Title of host publication	8th Hotine-Marussi Symposium on Mathematical Geodesy - Proceedings of the Symposium
Publisher	Springer
Pages	263-271
Number of pages	9
Volume	142
ISBN (Print)	9783319245485
DOIs	https://doi.org/10.1007/1345_2015_64
Publication status	Published - 2016
Event	8th Hotine-Marussi Symposium on Mathematical Geodesy, 2013 - La Sapienza, Italy Duration: 17 Jun 2013 → 21 Jun 2013

Conference

Conference	8th Hotine-Marussi Symposium on Mathematical Geodesy, 2013
Country/Territory	Italy
City	La Sapienza
Period	17/06/13 → 21/06/13

Keywords

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

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10.1007/1345_2015_64

Cite this

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title = "Single-epoch GNSS array integrity: An analytical study",

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{\textquoteright}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.",

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AB - 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.

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BT - 8th Hotine-Marussi Symposium on Mathematical Geodesy - Proceedings of the Symposium

PB - Springer

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Single-epoch GNSS array integrity: An analytical study

Abstract

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Keywords

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