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A Fuzzy Logic-Based Weighting Model for GNSS Measurements from a Smartphone

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R3 in Geomatics: Research, Results and Review (R3GEO 2019)

Abstract

GNSS navigation is critical in unfavourable scenarios, where the solution can be degraded by errors such as multipath reflections and weak geometries caused by obstacles surrounding the receiver. Nonetheless, the influence of the errors can be reduced defining an adequate quality measure for each signal and, consequently, using weights inversely related to the quality of the received signals. In this paper, a quality index, obtained from the fuzzy integration of various features of the received signals and leveraged to weight each measure in a Weighted Least Square (WLS) estimation process, is validated on measurements coming from a High Sensitivity receiver embedded in a smartphone. The main objective is to validate a fuzzy control designer provided by the authors in a previous work using raw data from a smartphone to compute the navigation solution and to extend its application to the multi-GNSS constellation case. The performance of the tested weighting strategy is evaluated in the position domain and in comparison with another weighting method. GNSS real data have been collected through a smartphone located in typical urban canyon environment, and processed in Single Point Positioning. Results show an evident enhancement obtained from the application of the fuzzy logic to obtain a proper weight to be assigned to GNSS observables reproducing a stochastic model similar to the reality.

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References

  1. Ackermann, S., Angrisano, A., Del Pizzo, S., Gaglione, S., Gioia, C., Troisi, S.: Digital surface models for GNSS mission planning in critical environments. J. Surv. Eng. 140(2), 04014001 (2014). https://doi.org/10.1061/(ASCE)SU.1943-5428.0000119

    Article  Google Scholar 

  2. Schwieger, V: Sensitivity GPS-an availability, reliability and accuracy test. In: Proceedings on FIG Working Week, Stockholm (2008)

    Google Scholar 

  3. Wieser, A., Gaggl, M., Hartinger, H.: Improved positioning accuracy with high-sensitivity GNSS receivers and SNR aided integrity monitoring of pseudo-range observations. In: Proceedings of the ION GNSS 2005 of The Institute of Navigation, Long Beach, CA, 13–16 September, pp 1545–1554 (2005)

    Google Scholar 

  4. Angrisano, A., Maratea, A., Gaglione, S.: A resampling strategy based on bootstrap to reduce the effect of large blunders in GPS absolute positioning. J. Geodesy 92(1), 81–92 (2017). https://doi.org/10.1007/s00190-017-1046-6

    Article  Google Scholar 

  5. Han, S.: Quality control issues relating to instantaneous ambiguity resolution for real-time GPS kinematic positioning. J. Geodesy 71(7), 351–361 (1997)

    Article  Google Scholar 

  6. Barnes, B.J., Ackroyd, N., Cross, P.A.: Stochastic modelling for very high precision real-time kinematic GPS in an engineering environment. In: Proceedings of FIG XXI International Conference, 21–25 July, Brighton, UK, Commission 6, pp. 61–76 (1998)

    Google Scholar 

  7. Wang, J.: Stochastic assessment of the GPS measurements for precise positioning. In: Proceedings of the GPS ION 1998 of The Institute of Navigation, Nashville, Tennessee, 15–18 September, pp 81–89 (1998)

    Google Scholar 

  8. Brunner, F.K., Hartinger, H., Troyer, L.: GPS signal diffraction modelling: the stochastic SIGMA-δ model. J. Geodesy 73(5), 259–267 (1999)

    Article  Google Scholar 

  9. Satirapod, C.: A review of stochastic models used in static GPS positioning technique. In: 25th ACRS & 1st ASC, 22–26 November 2004, Thailand (2004)

    Google Scholar 

  10. Luo, X., Mayer, M., Heck, B.: Improving the stochastic model of GNSS observations by means of SNR-based weighting. In: Sideris, M.G. (ed.) Observing our Changing Earth. International Association of Geodesy Symposia, vol. 133, pp. 725–734. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-540-85426-5_83

    Chapter  Google Scholar 

  11. Euler, H.J., Goad, C.C.: On optimal filtering of GPS dual frequency observations without using orbit information. J. Geodesy 65(2), 130–143 (1991)

    Google Scholar 

  12. Petovello, M.G., Cannon, M.E., Lachapelle, G.: Benefits of using a tactical-grade IMU for high-accuracy positioning. Navigation 51(1), 1–12 (2004). https://doi.org/10.1002/j.2161-4296.2004.tb00337.x. Journal of the Institute of Navigation

    Article  Google Scholar 

  13. Angrisano, A., Gaglione, S., Del Core, G., Gioia, C.: GNSS reliability testing in signal-degraded scenario. Int. J. Navig. Obs. (2013). https://doi.org/10.1155/2013/870365

    Article  Google Scholar 

  14. Zadeh, L.: Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems: Selected Papers by Lotfi A Zadeh, vol. 6. World Scientific, Singapore (1996)

    Book  Google Scholar 

  15. Ross, T.J.: Fuzzy Logic with Engineering Applications, 2nd edn. Wiley, New York (2004)

    MATH  Google Scholar 

  16. Syed, S., Cannon, E.: Map-aided GPS navigation: linking vehicles and maps to support location-based services. GPS World 16(11), 39–44 (2005)

    Google Scholar 

  17. Takagi, T., Sugeno, M.: Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. Syst. Man Cybern. 15, 116–132 (1985)

    Article  Google Scholar 

  18. Gaglione, S., Angrisano, A., Innac, A., Del Pizzo, S., Maratea, A.: Fuzzy logic applied to GNSS. Measurement 136, 314–322 (2019)

    Article  Google Scholar 

  19. Leick, A., Rapoport, L., Tatarnikov, D.: GPS Satellite Surveying, 4th edn. Wiley, New York (2015)

    Google Scholar 

  20. Wieser, A., Brunner, F.K.: SIGMA-F: variances of GPS observations determined by a Fuzzy system. In: Proceeding of the IAG2001 Scientific Assembly, Budapest (2001)

    Google Scholar 

  21. Realini, E., Reguzzoni, M.: GoGPS: open source software for enhancing the accuracy of low-cost receivers by single-frequency relative kinematic positioning. Meas. Sci. Technol. 24(11), 115010 (2013). https://doi.org/10.1088/0957-0233/24/11/115010

    Article  Google Scholar 

  22. Zadeh, L.A.: Fuzzy sets. Inf. Contr. 8(3), 338–353 (1965)

    Article  Google Scholar 

  23. Innac, A.: Fuzzy techniques applied to GNSS for quality assessment and reliability testing in difficult signal scenarios. Ph.D. Thesis (2017)

    Google Scholar 

  24. Klir, G., Yuan, B.: Fuzzy Sets and Fuzzy Logic, vol. 4. Prentice Hall, New Jersey (1995)

    MATH  Google Scholar 

  25. Angrisano, A., Gaglione, S., Gioia, C., Massaro, M., Robustelli, U.: Assessment of NeQuick ionospheric model for Galileo single-frequency users. Acta Geophys. 61(6), 1457–1476 (2013). https://doi.org/10.2478/s11600-013-0116-2

    Article  Google Scholar 

  26. Gaglione, S., Angrisano, A., Gioia, C., Innac, A., Troisi, S.: NeQuick Galileo version model: Assessment of a proposed version in operational scenario. In: International Geoscience and Remote Sensing Symposium (IGARSS), November 2015, pp. 3611–3614 (2015). https://doi.org/10.1109/igarss.2015.7326603

  27. Angrisano, A., Gaglione, S., Crocetto, N., Vultaggio, M.: PANG-NAV: a tool for processing GNSS measurements in SPP, including RAIM functionality. GPS Solutions 24(1), 1–7 (2019). https://doi.org/10.1007/s10291-019-0935-y

    Article  Google Scholar 

  28. Robustelli, U., Baiocchi, V., Pugliano, G.: Assessment of dual frequency GNSS observations from a Xiaomi Mi 8 Android smartphone and positioning performance analysis. Electronics 8(1), 91 (2019)

    Article  Google Scholar 

Download references

Acknowledgments

This research is supported by Italian Ministry of Education and Research funding basic research activities with FFABR (Fondo per il Finanziamento delle Attività Base di Ricerca) and is also included in the framework of the project DORA (Deployable Optics for Remote Sensing Applications). DORA is part of National Operational Program entitled “Research and Innovation 2014–2020”.

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Correspondence to Anna Innac .

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Innac, A., Angrisano, A., Gaglione, S., Maratea, A. (2020). A Fuzzy Logic-Based Weighting Model for GNSS Measurements from a Smartphone. In: Parente, C., Troisi, S., Vettore, A. (eds) R3 in Geomatics: Research, Results and Review. R3GEO 2019. Communications in Computer and Information Science, vol 1246. Springer, Cham. https://doi.org/10.1007/978-3-030-62800-0_4

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  • DOI: https://doi.org/10.1007/978-3-030-62800-0_4

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