Skip to main content
SpringerLink
Log in

GNSS Attitude Determination Based on Antenna Array Space-Time Signal Processing

  • Conference paper
  • First Online:
Internet of Things, Smart Spaces, and Next Generation Networks and Systems (ruSMART 2016, NEW2AN 2016)

Part of the book series: Lecture Notes in Computer Science ((LNCCN,volume 9870))

Abstract

This paper presents Global Navigation Satellite Systems (GNSS) attitude determination approach based on solution of direction-finding (DF) problem. The carrier phase GNSS concept is used to achieve precise attitude parameters (pitch, roll and yaw angles). This approach consists in maximization of resulting functions constructed on different combinations of R-functions. Effective attitude parameters estimations are maximum likelihood estimations. Well known algorithms (least-square, QUEST, etc.) of likelihood function maximization are computationally complicated. Besides these algorithms, reference phase differences can be used to maximize likelihood function. Reference phase differences are easily implemented and have advantages in computing costs. Angles accuracy is higher, when presented approach compared to ML, when reference phase differences are used in both cases. DF concept for attitude determination is discussed in this paper. Two different modifications of resulting function using for attitude determination are considered. Efficiency of described methods is expressed in terms of angles accuracy and abnormal error rate.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Giorgi, G., Teunissen, P.J.: Carrier phase GNSS attitude determination with the multivariate constrained LAMBDA method. In: 2010 IEEE Aerospace Conference, pp. 1–12. IEEE (2010)

    Google Scholar 

  2. Giorgi, G., Teunissen, P.J.: GNSS carrier phase-based attitude determination (2012)

    Google Scholar 

  3. Teunissen, P.J.G.: Integer least-squares theory for the GNSS compass. J. Geodesy 84, 433–447 (2010)

    Article  Google Scholar 

  4. Fateev, Y.L., Dmitriev, D., Tyapkin, V., Kartsan, I., Goncharov, A.: Phase methods for measuring the spatial orientation of objects using satellite navigation equipment. In: IOP Conference Series: Materials Science and Engineering, p. 012022. IOP Publishing (2015)

    Google Scholar 

  5. Markel, M., Sutton, E., Zmuda, H.: IEEE: optimal anti-jam attitude determination using the global positioning system. In: 2002 IEEE Position Location and Navigation Symposium, pp. 12–19 (2002)

    Google Scholar 

  6. Shuster, M.: Maximum likelihood estimation of spacecraft attitude. J. Astronaut. Sci. 37, 79–88 (1989)

    Google Scholar 

  7. Crassidis, J.L., Markley, F.L.: New algorithm for attitude determination using global positioning system signals. J. Guid. Control Dyn. 20, 891–896 (1997)

    Article  MATH  Google Scholar 

  8. Bing, W., Lifen, S., Guorui, X., Yu, D., Guobin, Q.: Comparison of attitude determination approaches using multiple global positioning system (GPS) antennas. Geodesy and Geodyn. 4, 16–22 (2013)

    Article  Google Scholar 

  9. Markley, F.L., Mortari, D.: How to estimate attitude from vector observations, pp. 1979–1996 (2000)

    Google Scholar 

  10. Chmykh, M.K., Fateev, Y.L.: Algorithms of object three-dimensional orientation determination based on global satellite navigation systems. In: 2nd International Conference on Satellite Communications - Proceedings of ICSC 1996, vol. 1–4, pp. 227–229 (1996)

    Google Scholar 

  11. Davydenko, A.S., Makarov, S.B.: Application of a method of a reference phases difference for definition of spatial object orientation. St. Petersburg State Polytech. Univ. J. Comput. Sci. Telecommun. Control Syst., 39–46 (2013)

    Google Scholar 

  12. Venediktov, V.T., Tsikin, I.A., Shcherbinina, E.A.: Satellite navigation signals processing in the framework of space. St. Petersburg State Polytech. Univ. J. Comput. Sci. Telecommun. Control Syst., 29–38 (2013)

    Google Scholar 

  13. Tsikin, I.A., Shcherbinina, E.A.: Comparative analysis of attitude determination algorithms based on reference phase differences using global navigation satellite system signals. In: The 18-th International Conference Digital Signal Processing and Its Applications, vol. 2, pp. 572–577, Moscow, Russia (2016)

    Google Scholar 

  14. Krim, H., Viberg, M.: Two decades of array signal processing research: the parametric approach. Sig. Process. Mag. IEEE 13, 67–94 (1996)

    Article  Google Scholar 

  15. Attitude Determination. Global Positioning System: Theory and Applications, vol. II, pp. 519–538. American Institute of Aeronautics and Astronautics (1996)

    Google Scholar 

  16. Tsikin, I.A., Shcherbinina, E.A.: Interferometric attitude estimation by maximum likelihood using reference phase difference. Electromag. Waves Electron. Syst. 19, 30–37 (2014)

    Google Scholar 

  17. Wang, B., Miao, L.J., Wang, S.T., Shen, J.: A constrained LAMBDA method for GPS attitude determination. GPS Solut. 13, 97–107 (2009)

    Article  Google Scholar 

  18. Fateev, Y.L., Dmitriev, D.D., Tyapkin, V.N., Ishchuk, I.N., Kabulova, E.G.: The phase ambiguity resolution by the exhaustion method in a single-base interferometer. ARPN J. Eng. Appl. Sci. 10, 8264–8270 (2015)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Physics, Nanotechnology and Telecommunications, Peter the Great St. Petersburg Polytechnic University, Saint-Petersburg, Russia

    Igor Tsikin & Elizaveta Shcherbinina

Authors
  1. Igor Tsikin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Elizaveta Shcherbinina
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Elizaveta Shcherbinina .

Editor information

Editors and Affiliations

  1. Tampere University of Technology , Tampere, Finland

    Olga Galinina

  2. FRUCT Oy , Helsinki, Finland

    Sergey Balandin

  3. Tampere University of Technology , Tampere, Finland

    Yevgeni Koucheryavy

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing AG

About this paper

Cite this paper

Tsikin, I., Shcherbinina, E. (2016). GNSS Attitude Determination Based on Antenna Array Space-Time Signal Processing. In: Galinina, O., Balandin, S., Koucheryavy, Y. (eds) Internet of Things, Smart Spaces, and Next Generation Networks and Systems. ruSMART NEW2AN 2016 2016. Lecture Notes in Computer Science(), vol 9870. Springer, Cham. https://doi.org/10.1007/978-3-319-46301-8_48

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-46301-8_48

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-46300-1

  • Online ISBN: 978-3-319-46301-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation