A Regularized Least Squares Estimator for Pseudorange-Based Terrestrial Positioning Under Degraded Geometries

Gianluca Zampieri, Shrivathsan Narayanan, Omar García Crespillo, and Okuary Osechas

Abstract: In the current remodernisation of the Air Traffic Management, APNT systems based on terrestrial navigation aids are conceived as backup solutions in case of a GNSS outage. In this paper, we address the widely acknowledged problem of degraded geometries in terrestrial ranging systems for aviation. We analyze the impact degraded geometries have on the ill-posedness of the positioning algorithm by means of the condition number. Finally, we propose an approach based on a regularized least squares estimator suitably designed for these specific conditions.
Published in: Proceedings of the 33rd International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2020)
September 21 - 25, 2020
Pages: 698 - 707
Cite this article: Zampieri, Gianluca, Narayanan, Shrivathsan, Crespillo, Omar García, Osechas, Okuary, "A Regularized Least Squares Estimator for Pseudorange-Based Terrestrial Positioning Under Degraded Geometries," Proceedings of the 33rd International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2020), , September 2020, pp. 698-707.
https://doi.org/10.33012/2020.17690
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