Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-23T08:42:39.615Z Has data issue: false hasContentIssue false
  • English
  • Français

Precise and Fast GNSS Signal Direction of Arrival Estimation

Published online by Cambridge University Press:  01 August 2013

Rui Sun ,
Kyle O'Keefe ,
Jian Guo  and
Eberhard Gill
Rui Sun
Affiliation:
(Department of Space Engineering, Faculty of Aerospace Engineering, Delft University of Technology, Kluyerweg 1, Delft, 2629HS, The Netherlands)
Kyle O'Keefe
Affiliation:
(Department of Geomatics Engineering, Schulich School of Engineering, University of Calgary, 2500 University Dr. NW, Calgary, Alberta, T2N 1N4, Canada)
Jian Guo*
Affiliation:
(Department of Space Engineering, Faculty of Aerospace Engineering, Delft University of Technology, Kluyerweg 1, Delft, 2629HS, The Netherlands)
Eberhard Gill
Affiliation:
(Department of Space Engineering, Faculty of Aerospace Engineering, Delft University of Technology, Kluyerweg 1, Delft, 2629HS, The Netherlands)
*
(E-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper proposes a precise and fast direction of arrival estimation method using Global Navigation Satellite System (GNSS) carrier phase measurements. Single-epoch, single-satellite integer cycle ambiguities are reliably resolved by making use of constraints and taking advantages of antenna arrays. The algorithm shows good robustness in cases where signal interruption or corruption occurs on some antenna elements as long as four antenna elements in a non-planar array have uncorrupted observables. The algorithm is demonstrated by field tests where antenna elements are connected to multiple receivers with an external common clock. The results indicate a high success rate of single-epoch ambiguity resolution and high direction of arrival accuracy.

Keywords

Signal direction of arrivalAmbiguity resolutionConstraintAntenna array
Type
Research Article
Information
The Journal of Navigation , Volume 67 , Issue 1 , January 2014 , pp. 17 - 35
Copyright
Copyright © The Royal Institute of Navigation 2013 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Dai, Z. (2012). MATLAB Software for GPS Cycle-slip Processing, GPS Solutions, 16(2), 267–272CrossRefGoogle Scholar
Garreau, A. M., Gantois, K., Cropp, A., et al. (2010). PROBA-3: In-orbit Demonstration Mission for High Precision Formation Flying. Small Satellite Systems and Services Symposium, Funchal, Portugal.Google Scholar
Giorgi., G., Teunissen, P. J. G., Verhagen, S, Buist, P. J. (2010). Testing A New Multivariate GNSS Carrier Phase Attitude Determination Method for Remote Sensing Platforms. Advances in Space Research, 46(2), 118–129.CrossRefGoogle Scholar
Giorgi, G., Teunissen, P. J. G. (2012). Instantaneous Global Navigation Satellite System (GNSS)-Based Attitude Determination for Maritime Applications. IEEE Journal of Oceanic Engineering, 37(3), 348–362.CrossRefGoogle Scholar
Giorgi, G., Teunissen, P. J. G., Verhagen, S, Buist, P. J. (2012). Instantaneous Ambiguity Resolution in GNSS-based Attitude Determination Applications: A Multivariate Constraint Approach. Journal of Guidance, Control, and Dynamics, 35(1), 51–67.CrossRefGoogle Scholar
Hada, H., Sunahara, H., Uehara, K., et al. (2000). DGPS and RTK Positioning Using the Internet. GPS Solutions. 4(1), 34–44.CrossRefGoogle Scholar
Jonge, P. de and Tiberius, C. C. J. M. (1996). The LAMBDA Method for Integer Ambiguity Estimation: Implementation Aspects. Publications of Delft University of Technology, LGR Series.Google Scholar
Keong, J. H. (1999). GPS/GLONASS Attitude Determination with a Common Clock using a Single Difference. 12nd ION GPS, Nashville, Tennessee, 1941–1950.Google Scholar
Leick, A. (2004). GPS Satellite Surveying, John Wiley & Sons, Chichester, 3rd Ed.Google Scholar
Lestarquit, L., Harr, J., Trommer, G. F., et al. (2006). Autonomous Formation Flying RF Sensor Development for the PRIMSA mission. 19th ION GNSS, Fort Worth, TX, 2571–2578.Google Scholar
Monikes, R., Wendel, J., Trommer, G. F. (2005). A Modified LAMBDA Method for Ambiguity Resolution in the Presence of Position Domain Constraints. 18th ION GNSS, Long Beach, CA, 81–87.Google Scholar
Park, C., Teunissen, P. J. G. (2009). Integer Least-squares with Quadratic Equality Constraints and its Application to GNSS Attitude Determination Systems. International Journal of Control, Automation, and Systems, 7(4), 566–576.CrossRefGoogle Scholar
Parkins, A. (2011). Increasing GNSS RTK Availability with a New Single-epoch Batch Partial Ambiguity Resolution Algorithm. GPS Solutions, 15(4), 391–402.CrossRefGoogle Scholar
Povalyaev, A. A., Sorokina, I. A., Glukhov, P. B. (2006). Ambiguity Resolution Under Known Base Vector Length. 19th ION GNSS, Fort Worth, TX, 1413–1417.Google Scholar
Sun, R., Guo, J., Gill, E. A. (2013). Precise Line-of-sight Vector Estimation Based on An Inter-satellite Radio Frequency System. Journal of Advances in Space Research, 51(7), 1080–1095.CrossRefGoogle Scholar
Sutton, E. (2002). Integer Cycle Ambiguity Resolution Under Conditions of Low Satellite Visibility. IEEE Symposium on Position Location and Navigation, Palm Springs, CA, 91–98.Google Scholar
Swapna, K. A. and Naik, B. V. (2012). Performance Analysis of MUSIC Algorithm for Various Antenna Array Configurations. International Journal of Engineering Research and Applications, 2(6), 1569–1572.Google Scholar
Teunissen, P. J. G. (1995). The Least-squares Ambiguity Decorrelation Adjustment: A Method for Fast GPS Integer Ambiguity Estimation. Journal of Geodesy, 70(1–2), 65–82.CrossRefGoogle Scholar
Teunissen, P. J. G., Joosten, P., Tiberius, C. C. J. M. (2000). Bias Robustness of GPS Ambiguity Resolution, 13rd ION GPS, Salt Lake City, UT, 104–112.Google Scholar
Teunissen, P. J. G. (2006). The LAMBDA Method for the GNSS Compass. Artificial Satellites, 41(3), 89–103.CrossRefGoogle Scholar
Teunissen, P. J. G. (2007). A General Multivariate Formulation of the Multi-antenna GNSS Attitude Determination Problem. Artificial Satellites, 42(2), 97–111.CrossRefGoogle Scholar
Teunissen, P. J. G. (2010). Integer Least-squares Theory for the GNSS Compass. Journal of Geodesy, 84(7), 433–447.CrossRefGoogle Scholar
Teunissen, P. J. G. (2011). The Affine Constrained GNSS Attitude Model and its Multivariate Integer Least-squares Solution. Journal of Geodesy, 86(7), 547–563.CrossRefGoogle Scholar
Verhagen, S. (2005). On the Reliability of Integer Ambiguity Resolution. Navigation, 52(2), 98–110.CrossRefGoogle Scholar
Wang, B., Miao, L., Wang, S., Shen, J. (2009). A constrained LAMBDA Method for GPS Attitude Determination. GPS Solution, 13(2), 97–107.CrossRefGoogle Scholar