Accuracy Evaluation of Positioning by Cramer-Rao Bound
Abstract
Article is devoted to accuracy estimation of positioning objects by mathematic Cramer Rao bound and depending on amount of base stations. Defining of coordinates is solved by rangedifference
location method. Gauss-Newton and Levenberg-Marquardt mathematic least square methods were evaluated for solving equation system.
About the Authors
A. Kireev
The Bonch-Bruevich Saint-Petersburg State University of Telecommunications
Russian Federation
Russian Federation
R. Fedorenko
The Bonch-Bruevich Saint-Petersburg State University of Telecommunications
Russian Federation
Russian Federation
G. Fokin
The Bonch-Bruevich Saint-Petersburg State University of Telecommunications
Russian Federation
Russian Federation
References
1. Киреев А.В., Фокин Г.А. Позиционирование источников радиоизлучения в сетях LTE с использованием круговой антенной решетки // Наука и инновации в технических университетах: Материалы Девятого Всероссийского форума студентов, аспирантов и молодых ученых. Санкт-Петербургский политехнический университет Петра Великого. 2015. С. 25–26.
2. Sivers M., Fokin G. LTE Positioning Accuracy Performance Evaluation // Conference on Smart Spaces. Springer International Publishing. 2015. PP. 393–406.
3. Reza Zekavat R. Michael Buehrer // Handbook of Position Location: Theory, Practice and Advances. Wiley-IEEE Press. 2011. P. 1281.
4. Levenberg K.: A Method for the Solution of Certain Problems in Least-Squares // Quarterly Applied Math. 1944. Vol. 2. PP. 164–168.
5. Marquardt D. An Algorithm for Least-Squares Estimation of Nonlinear Parameters // SIAM Journal Applied Math. 1963. Vol. 11. PP. 431–441.
6. LTE System Toolbox™. URL: http://www.mathworks.com/products/lte-system/.
7. Miao H., Yu K., Juntti M.J. Positioning for NLOS Propagation: Algorithm Derivations and Cramer–Rao Bounds // IEEE Transactions on Vehicular Technology. 2007. Vol. 56. Iss. 5. PP. 2568–2580.
8. Borisov E., Fokin G., Mashkov G. Experimental Validation of Multipoint Joint Processing of Range Measurements via Software-Defined Radio Testbed // Advanced Communication Technology (ICACT), 18th International Conference on. IEEE. 2016. PP. 268–273.
9. Fokin G., Gelgor A., Pavlenko I. LTE Base Stations Localization // International Conference on Next Generation Wired / Wireless Networking. Springer International Publishing. 2014. PP. 191–204.
10. Sivers M., Fokin G., Dmitriev P., Kireev A. Indoor Positioning in WiFi and NanoLOC Networks // International Conference on Next Generation Wired / Wireless Networking. Springer International Publishing. 2016. PP. 465–476.
Review
For citations:
Kireev A., Fedorenko R., Fokin G. Accuracy Evaluation of Positioning by Cramer-Rao Bound. Proceedings of Telecommunication Universities. 2017;3(2):77-83. (In Russ.)
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