GNSS Meta-Signal Tracking Using a Bicomplex Kalman Filter
Global navigation satellite system (GNSS) signals from different frequencies can be effectively treated as a single entity, characterized by common delays and carrier phases, leading to so-called GNSS meta-signals. A convenient approach for deriving meta-signal acquisition and tracking algorithms ha...
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Institute of Navigation
2024-12-01
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| Series: | Navigation |
| Online Access: | https://navi.ion.org/content/71/4/navi.674 |
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| author | Daniele Borio Melania Susi |
| author_facet | Daniele Borio Melania Susi |
| author_sort | Daniele Borio |
| collection | DOAJ |
| description | Global navigation satellite system (GNSS) signals from different frequencies can be effectively treated as a single entity, characterized by common delays and carrier phases, leading to so-called GNSS meta-signals. A convenient approach for deriving meta-signal acquisition and tracking algorithms has been recently introduced based on bicomplex numbers, which are a bidimensional extension of complex numbers. Bicomplex numbers allow one to represent two signals from different frequencies as a single quantity, providing a compact notation for algorithm development. In this work, an error-state Kalman filter (KF) is developed, and two signals from different frequencies are tracked simultaneously using the bicomplex number paradigm. A triple-loop architecture, in which loop filters are replaced by a single KF, is developed, implemented, and tested using real Galileo alternative binary offset carrier and BeiDou B1I/B1C meta-signals. This analysis clearly shows the advantages of KF tracking for processing GNSS meta-signals with components from different frequencies. |
| format | Article |
| id | doaj-art-35ec627b92e14ac6b508161e5bc08d17 |
| institution | OA Journals |
| issn | 2161-4296 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Institute of Navigation |
| record_format | Article |
| series | Navigation |
| spelling | doaj-art-35ec627b92e14ac6b508161e5bc08d172025-08-20T02:37:25ZengInstitute of NavigationNavigation2161-42962024-12-0171410.33012/navi.674navi.674GNSS Meta-Signal Tracking Using a Bicomplex Kalman FilterDaniele BorioMelania SusiGlobal navigation satellite system (GNSS) signals from different frequencies can be effectively treated as a single entity, characterized by common delays and carrier phases, leading to so-called GNSS meta-signals. A convenient approach for deriving meta-signal acquisition and tracking algorithms has been recently introduced based on bicomplex numbers, which are a bidimensional extension of complex numbers. Bicomplex numbers allow one to represent two signals from different frequencies as a single quantity, providing a compact notation for algorithm development. In this work, an error-state Kalman filter (KF) is developed, and two signals from different frequencies are tracked simultaneously using the bicomplex number paradigm. A triple-loop architecture, in which loop filters are replaced by a single KF, is developed, implemented, and tested using real Galileo alternative binary offset carrier and BeiDou B1I/B1C meta-signals. This analysis clearly shows the advantages of KF tracking for processing GNSS meta-signals with components from different frequencies.https://navi.ion.org/content/71/4/navi.674 |
| spellingShingle | Daniele Borio Melania Susi GNSS Meta-Signal Tracking Using a Bicomplex Kalman Filter Navigation |
| title | GNSS Meta-Signal Tracking Using a Bicomplex Kalman Filter |
| title_full | GNSS Meta-Signal Tracking Using a Bicomplex Kalman Filter |
| title_fullStr | GNSS Meta-Signal Tracking Using a Bicomplex Kalman Filter |
| title_full_unstemmed | GNSS Meta-Signal Tracking Using a Bicomplex Kalman Filter |
| title_short | GNSS Meta-Signal Tracking Using a Bicomplex Kalman Filter |
| title_sort | gnss meta signal tracking using a bicomplex kalman filter |
| url | https://navi.ion.org/content/71/4/navi.674 |
| work_keys_str_mv | AT danieleborio gnssmetasignaltrackingusingabicomplexkalmanfilter AT melaniasusi gnssmetasignaltrackingusingabicomplexkalmanfilter |