Abstract
The availability of positional information is of great importance in many applications. Global Navigation Satellite System (GNSS) is the most popular positioning techniques. However, determination of devices’ positions is still a challenging task in harsh environments due to radio blockage. In this situation, cooperative positioning can be utilized to improve the ability to compute position. This paper derives the expression for Cramér-Rao lower bound (CRLB) in cooperative positioning, where parts of the propagation paths between devices are non-line-of-sight (NLOS). Numerical examples illustrate our results, and the results lead to a deep understanding of the benefits of cooperation.
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References
David LK (2006) Global node selection for localization in a distributed sensor network. IEEE Trans Aerosp Electron Syst 42(1):113–135
Quebe S, Campbell J, DeVilbiss S et al (2010) Cooperative GPS navigation. In: IEEE/ION plans, pp 834–837
Penna F, Caceres MA, Wymeersch H (2010) Cramér-Rao bound for hybrid GNSS-terrestrial cooperative positioning. IEEE Commun Lett 14(11):1005–1007
Wang T (2012) Cramér-Rao bound for localization with a priori knowledge on biased range measurements. IEEE Trans Aerosp Electron Syst 48(1):468–476
Shen Y, Wymeersch H, Win MZ (2010) Fundamental limits of wideband localization—part II: cooperative networks. IEEE Trans Inf Theory 56(10):4981–5000
Larsson EG (2004) Cramér-Rao bound analysis of distributed positioning in sensor networks. IEEE Sig Process Lett 11(3):334–337
Jourdan DB, Dardari D, Win MZ (2008) Position error bound for UWB localization in dense cluttered environments. IEEE Trans Aerosp Electron Syst 44(2):613–628
Acknowledgements
This work is supported by National Natural Science Foundation of China (61601511). Specially, we would like to thank the anonymous reviewers for their constructive comments.
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Tian, S., Xiong, Z., Li, G., Lv, J., Yu, S. (2017). Cramér-Rao Lower Bound for Cooperative Positioning in Non-line-of-Sight Environments. In: Sun, J., Liu, J., Yang, Y., Fan, S., Yu, W. (eds) China Satellite Navigation Conference (CSNC) 2017 Proceedings: Volume II. CSNC 2017. Lecture Notes in Electrical Engineering, vol 438. Springer, Singapore. https://doi.org/10.1007/978-981-10-4591-2_33
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DOI: https://doi.org/10.1007/978-981-10-4591-2_33
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