A concave-convex procedure for TDOA based positioning

IEEE Communications Letters

Volumn 17, Issue 4, 2013, Pages 765-768

  Gholami, Mohammad Reza ^a   Gezici, Sinan ^b   Strom, Erik G ^a  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

^b BILKENT UNIVERSITY   (Turkey)

Author keywords

concave convex procedure; DC programming; time difference of arrival; Wireless sensor network

Indexed keywords

CONCAVE-CONVEX PROCEDURE; D-C PROGRAMMING; RESIDUAL ERROR; TIME-DIFFERENCE-OF- ARRIVAL;

ELECTRICAL ENGINEERING; MATHEMATICAL MODELS;

WIRELESS SENSOR NETWORKS;

EID: 84877583521     PISSN: 10897798     EISSN: None     Source Type: Journal    
DOI: 10.1109/LCOMM.2013.020513.122732     Document Type: Article

References (16)

1. S. Gezici, "A survey on wireless position estimation," Wireless Personal Commun., vol. 44, no. 3, pp. 263-282, Feb. 2008. (Pubitemid 351162199)
2. M. Rydstr̈om, E. G. Str̈om, and A. Svensson, "Robust sensor network positioning based on projection onto circular and hyperbolic convex sets," in Proc. IEEE SPAWC.
3. K. Yang, G. Wang, and Z.-Q. Luo, "Efficient convex relaxation methods for robust target localization by a sensor network using time differences of arrivals," IEEE Trans. Signal Process., vol. 57, no. 7, pp. 2775-2784, July 2009.
4. E. Xu, Z. Ding, and S. Dasgupta, "Reduced complexity semidefinite relaxation algorithms for source localization based on time difference of arrival," IEEE Trans. Mobile Comput., Sep. 2011.
5. Y. Le and K. Ho, "An approximately efficient TDOA localization algorithm in closed-form for locating multiple disjoint sources with erroneous sensor positions," IEEE Trans. Signal Process., vol. 57, no. 12, pp. 4598-4615, Dec. 2009.
6. A. Beck, P. Stoica, and J. Li, "Exact and approximate solutions of source localization problems," IEEE Trans. Signal Process., vol. 56, no. 5, pp. 1770-1778, May 2008.
7. A. Beck and D. Pan, "On the solution of the GPS localization and circle fitting problems," SIAM J. Optim., vol. 22, no. 1, pp. 108-134, 2012.
8. T. D. Quoc and M. Diehl, "Sequential convex programming methods for solving nonlinear optimization problems with DC constraints," 2011. Available: arXiv:1107.5841v1
9. M. R. Gholami, S. Gezici, and E. G. Str̈om, "Improved position estimation using hybrid TW-TOA and TDOA in cooperative networks," IEEE Trans. Signal Process., vol. 60, no. 7, pp. 3770-3785, July 2012.
10. M. R. Gholami, "Positioning algorithms for wireless sensor networks," Licentiate Thesis, Chalmers University of Technology, Mar. 2011. Available: http://publications.lib.chalmers.se/records/fulltext/138669.pdf
11. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge University Press, 2004.
12. R. Horst and N. V. Thoai, "DC programming: overview," J. Optimization Theory and Applications, vol. 103, pp. 1-43, 1999.
13. Y. Censor and S. A. Zenios, Parallel Optimization: Theory, Algorithms, and Applications. Oxford Unversity Press, 1997.
14. L. An and P. Tao, "The DC (difference of convex functions) programming and DCA revisited with DC models of real world nonconvex optimization problems," Annals of Operations Research, vol. 133, pp. 23-46, 2005. (Pubitemid 40389738)
15. The Mathworks Inc., 2012. Available: http://www.mathworks.com
16. M. Grant and S. Boyd, "CVX: Matlab software for disciplined convex programming, version 1.21," Feb. 2011. Available: http://cvxr.com/cvx