Abstract
The strength of angle constraint greatly affects the performance of attitude domain search in GNSS single-frequency single-epoch attitude determination. In this paper, given a constant baseline length constraint, we make use of the integer least squares to improve the conventional search method in attitude domain. First, we use the objective function based on ILS to derive the angle-related term, which is used to compress the attitude search space. Second, the ambiguity candidates are determined through 2D search in the attitude search space. At last, a strategy that utilizes unconstrained the least-squares solution to eliminate the pseudo candidates is proposed to accelerate search speed, and the ambiguities are fixed while the objective function is minimum. As the experiments revealed, our new method overcomes two problems of conventional search method in coordinate domain: multi-peak phenomenon and long computation time, and has high success rate and high real-time performance.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Zhao, X., Wu, H., Pang, C., et al.: New algorithm for single-frequency single-epoch attitude determination with dynamic baseline constraint. J. Chin. Inert. Technol. 25(6), 759–764 (2017)
Tang, W., Sun, H., Liu, J.: Ambiguity resolution of single epoch single frequency data with baseline length constraint using LAMBDA algorithm. Geomat. Inf. Sci. Wuhan Univers 30(5), 444–446 (2005)
Park, C., Teunissen, P.J.G.: Integer least squares with quadratic equality constraints and its application to GNSS attitude determination systems. Int. J. Control Autom. Syst. 7(4), 566–576 (2009)
Teunissen, P.J.G.: Integer least-squares theory for the GNSS compass. J. Geod. 84(7), 433–447 (2010)
Teunissen, P.J.G.: The lambda method for the GNSS compass. Artif. Satell. 41(3), 89–103 (2006)
Gong, A., Zhao, X., Pang, C., et al.: GNSS single frequency single epoch reliable attitude determination method with baseline vector constraint. Sensors 15(12), 30093–30103 (2015)
Wu, H.: Research on GNSS single-frequency single-epoch attitude determination based on attitude domain search. PhD thesis, Air Force Engineering University, Xi’an, China (2018)
Jurkowski, P., Henkel, P., Gao, G.: Integer ambiguity resolution with tight and soft baseline constraints for freight stabilization at helicopters and cranes. In: Proceedings of ION International Technical Meeting of the Institute of Navigation, San Diego, USA (2011)
Kim, D., Langley, R.B.: GPS ambiguity resolution and validation: methodologies, trends and issues. In: 7th GNSS Workshop International Symposium on GPS/GNSS, Seoul, Korea (2000)
Counselman, C.C., Gourevitch, S.A.: Miniature interferometer terminals for earth surveying: ambiguity and multipath with global positioning system. IEEE Trans. Geosci. Remote Sens. 19(4), 244–252 (1981)
Cellmer, S., Nowel, K., Kwaśniak, D.: The new search method in precise GNSS positioning. IEEE Trans. Aerosp. Electron. Syst. 54(1), 404–415 (2018)
Chen, W., Sun, X.: Performance improvement of GPS single frequency single epoch attitude determination with poor satellite visibility. Measur. Sci. Technol. 27(7), 075104 (2016)
Wang, Y., Zhao, X., Pang, C., et al.: Improved pitch-constrained ambiguity function method for integer ambiguity resolution in BDS/MIMU-integrated attitude determination. J. Geod. (2018). https://doi.org/10.1007/s00190-018-1182-7
Zhu, J., Li, T., Wang, J., et al.: Rate-gyro-integral constraint for ambiguity resolution in GNSS attitude determination applications. Sensors 13(6), 7979–7999 (2013)
Nowel, K., Cellmer, S., Kwaśniak, D.: Mixed integer-real least squares estimation for precise GNSS positioning using a modified ambiguity function approach. GPS Solut. 22(1), 31 (2018)
Wu, H.T., Zhao, X.B., Pang, C.L., et al.: Multivariate constrained algorithm for GNSS single-epoch single-frequency attitude determination based on attitude domain. Acta Aeronautica et Astronautica Sinica 39(6), 321850 (2018)
Sun, X., Han, C., Chen, P.: Instantaneous GNSS attitude determination: a monte carlo sampling approach. Acta Astronaut. 133, 24–29 (2017)
Pang, C.L., Zhao, X.B., Lu, Y.E., et al.: Planar search algorithm for ambiguity resolution with short baseline length constraint. Chin. Space Sci. Technol. 06, 43–48 (2012)
Li, S., Li, Z., Pang, C., et al.: Method based on improved least squares search for GNSS attitude measurement. J. Chongqing Univ. Posts Telecommun. (Nat. Sci. Ed.) 28(2), 187–193 (2016)
Acknowledgment
This work is supported by National Natural Science Foundation of China (Grant No. 61601506).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Wu, H., Jiao, Y., Bao, L. (2020). Baseline-Constrained GNSS Single-Frequency Single-Epoch Attitude Determination Based on Attitude Domain Search. In: Sun, J., Yang, C., Xie, J. (eds) China Satellite Navigation Conference (CSNC) 2020 Proceedings: Volume II. CSNC 2020. Lecture Notes in Electrical Engineering, vol 651. Springer, Singapore. https://doi.org/10.1007/978-981-15-3711-0_19
Download citation
DOI: https://doi.org/10.1007/978-981-15-3711-0_19
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-3710-3
Online ISBN: 978-981-15-3711-0
eBook Packages: EngineeringEngineering (R0)