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Aircraft positioning using multiple distance measurements and spline prediction

    Ivan Ostroumov Affiliation
    ; Karen Marais Affiliation
    ; Nataliia Kuzmenko Affiliation

Abstract

During the crucial phases of take-off, initial climb, approach, and landing where aircraft are close to the ground, Global Navigation Satellite Systems (GNSS) signal strength may not be sufficient to guarantee safe operation, especially in the presence of potential interference, malicious or otherwise, from ground equipment. When the GNSS location is lost, aircraft typically revert to other navigation aids. The most accurate navigation aid is Distance Measuring Equipment (DME). However, whereas GNSS location is triangulated, the navigation equipment on-board aircraft can only measure two DME signals simultaneously. Therefore, location based on DME tends to be accurate only to hundreds of meters, compared to meters for GNSS. A new approach is presented for positioning using multiple DMEs. The approach is based on regression analysis for prediction of DMEs distances in time of measurement. This approach increases positioning accuracy due to availability of multiple DMEs data in the system of navigation equations. Spline functions were used in a regression model in order to achieve the most accurate prediction values. An approach was verified using real flight data and shown the decreasing of navigation system error on value depending on availability and geometry of ground stations locations.

Keyword : DME/DME, APNT, spline, regression, airplane, positioning, navigation, extrapolation, multiple distances

How to Cite
Ostroumov, I., Marais, K., & Kuzmenko, N. (2022). Aircraft positioning using multiple distance measurements and spline prediction. Aviation, 26(1), 1–10. https://doi.org/10.3846/aviation.2022.16589
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Mar 18, 2022
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This work is licensed under a Creative Commons Attribution 4.0 International License.

References

Berz, G. (2008, April). Guideline for P-RNAV infrastructure assessment. Eurocontrol.

Federal Aviation Administration. (2017). Federal NOTAM System. Database Online. https://notams.aim.faa.gov

Federal Aviation Administration. (2020). Aeronautical Information Manual. Official Guide to Basic Flight Information and ATC Procedures, U.S. Department.

Han, S., Gong, Z., Meng, W., Li, C., & Gu, X. (2016). Future alternative positioning, navigation, and timing techniques: A survey. IEEE Wireless Communications, 23(6), 154–160. https://doi.org/10.1109/MWC.2016.1500181RP

International Civil Aviation Organization. (2013). Performance-Based Navigation (PBN) Manual (Doc 9613-AN/937). International Civil Aviation Organization. Montreal, Canada.

International Civil Aviation Organization. (2017). Global Navigation Satellite System (GNSS) Manual (Doc. 9849) (3 ed.). International Civil Aviation Organization. Montreal, Canada.

International Civil Aviation Organization. (2020). Procedures for Air Navigation Services (PANS) – Aircraft Operations – Volume II, Construction of Visual & Instrument Flight Procedures (Doc 8168) (7 ed.). International Civil Aviation Organization. Montreal, Canada.

Jalloul, T., Ajib, W., Yeste-Ojeda, O. A., Landry, R., & Thibeault, C. (2014, October). DME/DME navigation using a single low-cost SDR and sequential operation. In 2014 IEEE/AIAA 33rd Digital Avionics Systems Conference (DASC) (pp. 3C2-1-3C2-93C2-1). IEEE. https://doi.org/10.1109/DASC.2014.6979451

Kim, H., Lee, J., Oh, S. H., So, H., & Hwang, D. H. (2019). Multi-radio integrated navigation system M&S software design for GNSS backup under navigation warfare. Electronics, 8(2), 188. https://doi.org/10.3390/electronics8020188

Kuzmenko, N. S., Ostroumov, I. V., & Marais, K. (2018, October). An accuracy and availability estimation of aircraft positioning by navigational aids. In 2018 IEEE 5th International Conference on Methods and Systems of Navigation and Motion Control (MSNMC) (pp. 36–40). IEEE. https://doi.org/10.1109/MSNMC.2018.8576276

Lilley, R., & Erikson, R. (2012). DME/DME for Alternate Position, Navigation, and Timing (APNT). APNT White Paper, August.

Lo, S., Chen, Y. H., Enge, P., Pelgrum, W., Li, K., Weida, G., & Soelter, A. (2020). Flight test of a pseudo-ranging signal compatible with existing distance measuring equipment (DME) ground stations. NAVIGATION, Journal of the Institute of Navigation, 67(3), 567–582. https://doi.org/10.1002/navi.376

Lo, S., Chen, Y. H., Enge, P., Peterson, B., Erikson, R., & Lilley, R. (2013, September). Distance measuring equipment accuracy performance today and for future alternative position navigation and timing (APNT). In Proceedings of the 26th International Technical Meeting of The Satellite Division of the Institute of Navigation (ION GNSS 2013) (pp. 711–721). Nashville, TN.

Lo, S., Enge, P., Niles, F., Loh, R., Eldredge, L., & Narins, M. (2010). Preliminary assessment of alternative navigation means for civil aviation. In Proceedings of the 2010 International Technical Meeting of The Institute of Navigation, CA ION ITM (pp. 314–322). San Diego.

Lubbers, B., Mildner, S., Oonincx, P., & Scheele, A. (2015, October). A study on the accuracy of GPS positioning during jamming. In Navigation World Congress (IAIN) (pp. 1–6). 2015 International Association of Institutes. IEEE. https://doi.org/10.1109/IAIN.2015.7352258

NASA. (2020). Aviation Safety Reporting System. Database Online. https://asrs.arc.nasa.gov/search/database.html

Ostroumov, I. V., & Kuzmenko, N. S. (2018, October). An area navigation RNAV system performance monitoring and alerting. In 2018 IEEE First International Conference on System Analysis & Intelligent Computing (SAIC) (pp. 211–214). Kyiv, Ukraine. https://doi.org/10.1109/SAIC.2018.8516750

Ostroumov, I. V., Kuzmenko, N. S., & Marais, K. (2018, October). Optimal pair of navigational aids selection. In 2018 IEEE 5th International Conference on Methods and Systems of Navigation and Motion Controlm (MSNMC) (pp. 32–35). IEEE. https://doi.org/10.1109/MSNMC.2018.8576293

Ostroumov, I., Kharchenko V., & Kuzmenko, N. (2019). An airspace analysis according to area navigation requirements. Aviation, 23(3), 36–42. https://doi.org/10.3846/aviation.2019.10302

Seber, G. A., & Lee, A. J. (2012). Linear regression analysis (Vol. 936). John Wiley & Sons.

Siddiqi, S. S., & Younis, M. (2013). Construction of m-point binary approximating subdivision schemes. Applied Mathematics Letters, 26(3), 337–343. https://doi.org/10.1016/j.aml.2012.09.016

Tahsin, M., Sultana, S., Reza, T., & Hossam-E-Haider, M. (2015, May). Analysis of DOP and its preciseness in GNSS position estimation. In 2015 International Conference on Electrical Engineering and Information Communication Technology (ICEEICT) (pp. 1–6). IEEE. https://doi.org/10.1109/ICEEICT.2015.7307445

Tian, A., Dong, D., Ning, D., & Fu, C. (2013, October). GPS single point positioning algorithm based on least squares. In 2013 Sixth International Symposium on Computational Intelligence and Design (Vol. 2, pp. 16–19). IEEE. https://doi.org/10.1109/ISCID.2013.119

Vitan, V., Berz, G., & Solomina, N. (2015, September). Assessment of current DME performance and the potential to support a future A-PNT solution. In 2015 IEEE/AIAA 34th Digital Avionics Systems Conference (DASC) (pp. 2A2-1-2A2-182A2-1). IEEE. https://doi.org/10.1109/DASC.2015.7311357

Yau, H. T., Lin, M. T., & Tsai, M. S. (2006). Real-time NURBS interpolation using FPGA for high speed motion control. Computer-Aided Design, 38(10), 1123–1133. https://doi.org/10.1016/j.cad.2006.06.005