Model of the Random Phase of Signal E6 of the Galileo Satellite Navigation System

ABSTRACT: The aim of this paper was to describe the random phase of the E6 signal, the Galileo satellite navigation system. Based on the available information, mathematical models of the measurement signals of the Galileo system were created. The frequencies of individual signals were determined and their structure visualized. A block diagram of the generation of individual signals is also shown. The main contribution of the paper is the creation of a random phase model of the E6 signal from the Galileo system. In accordance with the technical data of the Galileo system, the parameters of the random phase model were determined. The simulation results confirmed that the frequency instability of the continuous signal E6 n received from the satellite is a stationary process. The short-term stability of the frequency ranges from 10-13 to 10-14. The simulation results confirmed that the Doppler effect significantly affects the random phase of the E6 signal. This phenomenon can affect the results of navigation measurements using the E6 signal. The modeling and simulation results of the random phase of the E6 signal presented in the paper can be used to evaluate the immunity of the Galileo navigation system to interference.

KEYWORDS: Galileo, Simulation, Satellite Navigation System, Model, Random Phase, Signal E6, Random phase model, Useful signal

REFERENCES

Dzunda, M; Kotianova, N; Dzurovčin, P. Selected Aspects of Using the Telemetry Method in Synthesis of RelNav System for Air Traffic Control. International journal of environmental research and public health 17 (1), Jan 2020 - doi:10.3390/ijerph17010213

Dzunda, M; Dzurovcin, P. Selected Aspects of Navigation System Synthesis for Increased Flight Safety, Protection of Human Lives, and Health. International journal of environmental research and public health 17 (5), Mar 2020, - doi:10.3390/ijerph17051550

Hein, Guenter W., Godet, Jeremie, Issler, Jean-Luc, Martin, Jean-Christophe, Lucas-Rodriguez, Rafael, Pratt, Tony, "The GALILEO Frequency Structure and Signal Design," Proceedings of the 14th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 2001), Salt Lake City, UT, September 2001, pp. 1273-1282.

Bidaine, Benoît. Ionosphere Crossing of Galileo Signals, 2006.

Geng, Jianghui, and Jiang Guo. "Beyond three frequencies: An extendable model for single-epoch decimeter-level point positioning by exploiting Galileo and BeiDou-3 signals." Journal of Geodesy, 2020, 94.1, pp. 1-15. - doi:10.1007/s00190-019-01341-y

Zhao, Lei, Paul Blunt, and Lei Yang. Performance Analysis of Zero-Difference GPS L1/L2/L5 and Galileo E1/E5a/E5b/E6 Point Positioning Using CNES Uncombined Bias Products. Remote Sensing, 2020, 14.3, pp. 650. - doi:10.3390/rs14030650

Ardizzon, Francesco. Authenticated Timing Protocol Based on Galileo ACAS. Sensors 2022, 22.16, pp. 6298. - doi:10.3390/s22166298

Liu, Gen, Xiaohong Zhang, and Pan Li. "Improving the performance of Galileo uncombined precise point positioning ambiguity resolution using triple-frequency observations." Remote Sensing 11.3 (2019): 341. - doi:10.3390/rs11030341

Alonso, María Teresa, et al. "Galileo Broadcast Ephemeris and Clock Errors Analysis: 1 January 2017 to 31 July 2020." Sensors 20.23 (2020): 6832. - doi:10.3390/s20236832

Prochniewicz, Dominik, and Maciej Grzymala. "Analysis of the impact of multipath on Galileo system measurements." Remote Sensing 13.12 (2021): 2295. - doi:10.3390/rs13122295

Das, Priyanka, Lorenzo Ortega, Jordi Vilà-Valls, François Vincent, Eric Chaumette, and Loïc Davain. "Performance limits of GNSS code-based precise positioning: GPS, galileo & meta-signals." Sensors 20, 2020, no. 8 , pp. 2196. - doi:10.3390/s20082196

Borio, Daniele, and Ciro Gioia. "Galileo: The added value for integrity in harsh environments." Sensors 16.1 (2016): 111. - doi:10.3390/s16010111

J Julien, Olivier, Christophe Macabiau, and Jean-Luc Issler. "Ionospheric delay estimation strategies using Galileo E5 signals only." In Proceedings of the 22nd International Technical Meeting of The Satellite Division of the Institute of Navigation (ION GNSS 2009), pp. 3128-3141. 2009.

Afifi, Akram, and Ahmed El-Rabbany. Stochastic modeling of Galileo E1 and E5a signals.International Journal of Engineering and Innovative Technology (IJEIT) 3.6, 2013, pp. 188-192.

Jovanovic, Aleksandar, Cécile Mongrédien, Youssef Tawk, Cyril Botteron, and Pierre-André Farine. "Two-step Galileo E1 CBOC tracking algorithm: when reliability and robustness are keys!." International Journal of Navigation and Observation2012 (2012). - doi:10.1155/2012/135401

Arribas, Javier, Jordi Vilà‐Valls, Antonio Ramos, Carles Fernández‐Prades, and Pau Closas. Air traffic control radar interference event in the Galileo E6 band: Detection and localization. Navigation 66 2019, no. 3, pp. 505-522. - doi:10.1002/navi.310

Setlak, Lucjan, and Rafał Kowalik. E1 Signal Processing of the Galileo System in the Navigation Receiver. Communications-Scientific letters of the University of Zilina, 2021, 23.3, E46-E55. - doi:10.26552/com.C.2021.3.E46-E55

Pascual, Daniel, Hyuk Park, Adriano Camps, A. Alonso, and Raul Onrubia. "Comparison of GPS L1 and Galileo E1 signals for GNSS-R ocean altimetry." In 2013 IEEE International Geoscience and Remote Sensing Symposium-IGARSS, pp. 358-361. IEEE, 2013. - doi:10.1109/IGARSS.2013.6721166

Hein, Guenter W., J. Godet, Jean-Luc Issler, Jean-Christophe Martin, Rafael Lucas-Rodriguez and Tony Pratt. The GALILEO Frequency Structure and Signal Design. (2001).

Sośnica, Krzysztof, Radosław Zajdel, Grzegorz Bury, Kamil Kazmierski, Tomasz Hadaś, Marcin Mikoś, Maciej Lackowski, and Dariusz Strugarek. Contribution of the Galileo system to space geodesy and fundamental physics. No. EGU22-2477. Copernicus Meetings, 2022. - doi:10.5194/egusphere-egu22-2477

Galileo navigation signals and frequencies . Available online: https://www.esa.int/Applications/Navigation/Galileo/Galileo_navigation_signals_and_frequencies (accessed on 03.11.2022).

EUROPEAN GNSS (GALILEO) OPEN SERVICE SIGNAL-IN-SPACE INTERFACE CONTROL DOCUMENT Issue 2.0, January 2021 (accessed on 03.11.2022).

Olivier Julien, Christophe Macabiau, Emmanuel Bertrand. Analysis of Galileo E1 OS unbiased BOC/CBOC tracking techniques for mass market applications. NAVITEC, 5th ESA Workshop on Satellite Navigation Technologies and European Workshop on GNSS Signals, Noordwijk, Netherlands, DEC 2010, pp 1-8, 10.1109/NAVITEC.2010.5708070. hal-01022203 - doi:10.1109/NAVITEC.2010.5708070

European Commission (2010), European GNSS (Galileo) Open Service – Signal-In-Space Interface Control Document Issue 1, February.

Khan, Subhan & Jawad, Muhammad & Safder, Muhammad & Jaffery, Mujtaba & Javid, Salman. Analysis of the satellite navigational data in the Baseband signal processing of Galileo E5 AltBOC signal. Arctic, 2018, 71. 2-17.

Maufroid, Xavier, Jesús Cegarra, José Caro, Laura García, and Chiara Scaleggi. The Galileo Return Link Service Provider in the Works. In Proceedings of the 30th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2017), pp. 1333-1346. 2017. - doi:10.33012/2017.15317

J.A Ávila Rodríguez, Galileo Signal Plan, University FAF Munich, Germany, 2011

Maufroid, Xavier, Jesús Cegarra, José Caro, Laura García, and Chiara Scaleggi. "The Galileo Return Link Service Provider in the Works." In Proceedings of the 30th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2017), pp. 1333-1346. 2017.

Elhawary, M., Gomah, G., Zekry, A., & Hafez, I. Simulation of the E1 and E6 Galileo Signals using SIMULINK. International Journal of Computer Applications, 2014, 88(15), 41–48. - doi:10.5120/15431-4043

Galileo Signal Plan - Navipedia. Available from: https://gssc.esa.int/navipedia/index.php/Galileo_Signal_Plan (accessed on 03.11.2022).

Xu, W.; Yan, C.; Chen, J. Investigation of Precise Single-Frequency Time and Frequency Transfer with Galileo E1/E5a/E5b/E5/E6 Observations. Remote Sens. 2022, 14, 5371. - doi:10.3390/rs14215371

Citation note:

Džunda M., Čikovský S., Melniková L.: Model of the Random Phase of Signal E6 of the Galileo Satellite Navigation System. TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation, Vol. 17, No. 1, doi:10.12716/1001.17.01.05, pp. 61-68, 2023

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