Huber's Non-linearity for Robust Transformed Domain GNSS Signal Processing

Daniele Borio, Haoqing Li, and Pau Closas

Peer Reviewed

Abstract: Robust Interference Mitigation (RIM) can significantly improve the performance of a Global Navigation Satellite System (GNSS) receiver in the presence of jamming. A key element of RIM is the adoption of a Zero Memory Non-Linearity (ZMNL) able to reduce the impact of signal samples that are identified as outliers or that are corrupted by interference. We consider the usage of the Huber’s non-linearity that is seen as an extension of the complex signum operator. Huber’s non-linearity implements jamming detection by comparing signal samples, eventually projected into an appropriate representation domain, with a decision threshold. The complex signum operator is then applied to the samples with a magnitude higher than the threshold. The effectiveness of the Huber’s non-linearity is evaluated theoretically, by simulation and with the analysis of real data corrupted by jamming. The decision threshold used by the Huber’s non-linearity allows the selection of the most appropriate compromise between loss of efficiency, in the absence of interference, and robustness to jamming. It is worth noting that the additional processing that RIM involves is minimally invasive when implemented on a legacy GNSS receiver.
Published in: Proceedings of the 31st International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2018)
September 24 - 28, 2018
Hyatt Regency Miami
Miami, Florida
Pages: 3775 - 3787
Cite this article: Borio, Daniele, Li, Haoqing, Closas, Pau, "Huber's Non-linearity for Robust Transformed Domain GNSS Signal Processing," Proceedings of the 31st International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2018), Miami, Florida, September 2018, pp. 3775-3787. https://doi.org/10.33012/2018.16115
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