Details
| Original language | English |
|---|---|
| Title of host publication | Geodesy for a Sustainable Earth |
| Subtitle of host publication | Proceedings of the 2021 Scientific Assembly of the International Association of Geodesy, Beijing, China, June 28 – July 2, 2021 |
| Editors | Jeffrey T. Freymueller, Laura Sánchez |
| Pages | 367-376 |
| Number of pages | 10 |
| ISBN (electronic) | 978-3-031-29507-2 |
| Publication status | Published - 25 Dec 2022 |
| Event | IAG 2021: Scientific Assembly of the International Association of Geodesy - online, Beijing, China Duration: 28 Jun 2021 → 4 Jul 2021 https://www.iag2021.com/en/web/index/ |
Publication series
| Name | International Association of Geodesy Symposia |
|---|---|
| Publisher | Springer Cham |
| ISSN (Print) | 0939-9585 |
| ISSN (electronic) | 2197-9359 |
Abstract
Keywords
- Error bounding, Global navigation satellite systems, Integrity, Interval analysis, Residual tropospheric error
ASJC Scopus subject areas
- Earth and Planetary Sciences(all)
- Computers in Earth Sciences
- Earth and Planetary Sciences(all)
- Geophysics
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Geodesy for a Sustainable Earth: Proceedings of the 2021 Scientific Assembly of the International Association of Geodesy, Beijing, China, June 28 – July 2, 2021. ed. / Jeffrey T. Freymueller; Laura Sánchez. 2022. p. 367-376 (International Association of Geodesy Symposia).
Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
}
TY - CHAP
T1 - Bounding the Residual Tropospheric Error by Interval Analysis
AU - Su, Jingyao
AU - Schön, Steffen
N1 - This work was supported by the German Research Foundation (DFG) as part of the Research Training Group i.c.sens [RTG 2159]. The authors gratefully acknowledge Deutscher Wetterdienst (DWD) for providing climate data, Helmholtz-Centre Potsdam GFZ German Research Centre for Geosciences for providing measurement data at POTS and OBE4 stations, International GNSS Service (IGS) for providing GNSS data and products, TU Wien for providing access to the online Ray-Tracer.
PY - 2022/12/25
Y1 - 2022/12/25
N2 - GNSS integrity monitoring requires proper bounding to characterize all ranging error sources. Unlike classical approaches based on probabilistic assumptions, our alternative integrity approach depends on deterministic interval bounds as inputs. The intrinsically linear uncertainty propagation with intervals is adequate to describe remaining systematic uncertainty, the so-called imprecision. In this contribution, we make a proposal on how to derive the required intervals in order to quantify and bound the residual error for empirical troposphere models, based on the refined sensitivity analysis via interval arithmetic. We evaluated experimentally the Saastamoinen model with (i) a priori ISO standard atmosphere, and (ii) on-site meteorological measurements from IGS and Deutscher Wetterdienst (DWD) stations as inputs. We obtain consistent and complete enclosure of residual ZPD errors w.r.t IGS ZPD products. Thanks to the DWD dense network, interval maps for meteorological parameters and residual ZPD errors are generated for Germany as by-products. These experimental results and products are finally validated, taking advantage of the high-quality tropospheric delays estimated by the Vienna Ray Tracer. Overall, the results indicate that our strategy based on interval analysis successfully bounds tropospheric model uncertainty. This will contribute to a realistic uncertainty assessment of GNSS-based single point positioning.
AB - GNSS integrity monitoring requires proper bounding to characterize all ranging error sources. Unlike classical approaches based on probabilistic assumptions, our alternative integrity approach depends on deterministic interval bounds as inputs. The intrinsically linear uncertainty propagation with intervals is adequate to describe remaining systematic uncertainty, the so-called imprecision. In this contribution, we make a proposal on how to derive the required intervals in order to quantify and bound the residual error for empirical troposphere models, based on the refined sensitivity analysis via interval arithmetic. We evaluated experimentally the Saastamoinen model with (i) a priori ISO standard atmosphere, and (ii) on-site meteorological measurements from IGS and Deutscher Wetterdienst (DWD) stations as inputs. We obtain consistent and complete enclosure of residual ZPD errors w.r.t IGS ZPD products. Thanks to the DWD dense network, interval maps for meteorological parameters and residual ZPD errors are generated for Germany as by-products. These experimental results and products are finally validated, taking advantage of the high-quality tropospheric delays estimated by the Vienna Ray Tracer. Overall, the results indicate that our strategy based on interval analysis successfully bounds tropospheric model uncertainty. This will contribute to a realistic uncertainty assessment of GNSS-based single point positioning.
KW - Error bounding
KW - Global navigation satellite systems
KW - Integrity
KW - Interval analysis
KW - Residual tropospheric error
UR - http://www.scopus.com/inward/record.url?scp=85172663639&partnerID=8YFLogxK
U2 - 10.1007/1345_2022_184
DO - 10.1007/1345_2022_184
M3 - Contribution to book/anthology
SN - 978-3-031-29506-5
SN - 978-3-031-29509-6
T3 - International Association of Geodesy Symposia
SP - 367
EP - 376
BT - Geodesy for a Sustainable Earth
A2 - Freymueller, Jeffrey T.
A2 - Sánchez, Laura
T2 - IAG 2021
Y2 - 28 June 2021 through 4 July 2021
ER -