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Issue No.06 - June (2012 vol.11)
pp: 935-946
Wei-Yu Chiu , National Tsing Hua University, Hsinchu
Bor-Sen Chen , National Tsing Hua University, Hsinchu
Chang-Yi Yang , National Penghu University of Science and Technology, Makung
In this paper, the relative location estimation problem, a prominent issue faced by several applications in wireless sensor networks (WSNs), is considered. Sensors are classified into two categories: location-aware and location-unaware sensors. To estimate the positions of location-unaware sensors, exact positions are often assumed for location-aware sensors. However, in practice, such precise data may not be available. Therefore, determining the positions of location-unaware sensors in the presence of inexact positions of location-aware sensors is the primary focus of this study. A robust min-max optimization method is proposed for the relative location estimation problem by minimizing the worst-case estimation error. The corresponding optimization problem is originally nonconvex, but after it is transformed into a convex semidefinite program (SDP), it can be solved by existing numerical techniques. In the presence of inexact positions of location-aware sensors, the robustness of the proposed approach is validated by simulations under different WSN topologies. Modified maximum-likelihood (ML) estimation and second-order cone programming (SOCP) relaxation methods have been used for localization in comparison with the proposed approach.
Relative location estimation, inexact position problem, wireless sensor networks (WSNs), maximum-likelihood (ML) estimation, second-order cone program (SOCP), semidefinite program (SDP).
Wei-Yu Chiu, Bor-Sen Chen, Chang-Yi Yang, "Robust Relative Location Estimation in Wireless Sensor Networks with Inexact Position Problems", IEEE Transactions on Mobile Computing, vol.11, no. 6, pp. 935-946, June 2012, doi:10.1109/TMC.2011.111
[1] I.F. Akyildiz, W. Su, Y. Sankarasubramaniam, and E. Cayirci, “Wireless Sensor Networks: A Survey,” Computer Networks, vol. 38, no. 4, pp. 393-422, 2002.
[2] R.L. Moses, D. Krishnamurthy, and R. Patterson, “An Auto-Calibration Method for Unattended Ground Sensors,” Proc. IEEE Int'l Conf. Acoustics, Speech, and Signal Processing (ICASSP), vol. 3, pp. 2941-2944, May 2002.
[3] R. Fleming and C. Kushner, “Low-Power, Miniature, Distributed Position Location and Communication Devices Using Ultra-Wideband, Nonsinusoidal Communication Technology,” semi-annual technical report, Aetherwire, Inc., ARPA Contract J-FBI-94-058, July 1995.
[4] N. Patwari, A.O. HeroIII, M. Perkins, N.S. Correal, and R.J. O'Dea, “Relative Location Estimation in Wireless Sensor Networks,” IEEE Trans. Signal Processing, vol. 51, no. 8, pp. 2137-2148, Aug. 2003.
[5] N. Patwari, R.J. O'Dea, and Y. Wang, “Relative Location in Wireless Networks,” Proc. IEEE 53rd Vehicular Technology Conf. (VTC), vol. 2, pp. 1149-1153, May 2001.
[6] P. Biswas, T.-C. Liang, K.-C. Toh, Y. Ye, and T.-C. Wang, “Semidefinite Programming Approaches for Sensor Network Localization with Noisy Distance Measurements,” IEEE Trans. Automation Science and Eng., vol. 3, no. 4, pp. 360-371, Oct. 2006.
[7] L. Zhang, Q. Cheng, Y. Wang, and S. Zeadally, “A Novel Distributed Sensor Positioning System Using the Dual of Target Tracking,” IEEE Trans. Computers, vol. 57, no. 2, pp. 246-260, Feb. 2008.
[8] P. Tseng, “Second-Order Cone Programming Relaxation of Sensor Network Localization,” SIAM J. Optimization, vol. 18, pp. 156-185, 2007.
[9] X. Ji and H. Zha, “Sensor Positioning in Wireless Ad-Hoc Sensor Networks Using Multidimensional Scaling,” Proc. IEEE INFOCOM, vol. 4, pp. 2652-2661, Mar. 2004.
[10] D. Niculescu and B. Nath, “Ad-Hoc Positioning System (APS),” Proc. IEEE GlobeCom, vol. 5, pp. 2926-2931, Nov. 2001.
[11] N. Patwari and A.O. Hero III, “Using Proximity and Quantized RSS for Sensor Localization in Wireless Networks,” Proc. Second ACM Int'l Workshop Wireless Sensor Networks and Applications (WSNA '03), pp. 20-29, Sept. 2003.
[12] N.B. Priyantha, A. Chakraborty, and H. Balakrishnan, “The Cricket Location-Support System,” Proc. ACM MobiCom, pp. 32-43, Aug. 2000.
[13] C. Savarese, J.M. Rabaey, and J. Beutel, “Location in Distributed Ad-Hoc Wireless Sensor Networks,” Proc. IEEE Int'l Conf. Acoustics, Speech, and Signal Processing (ICASSP), pp. 2037-2040, May 2001.
[14] J. Albowicz, A. Chen, and L. Zhang, “Recursive Position Estimation in Sensor Networks,” Proc. IEEE Int'l Conf. Network Protocols, pp. 35-41, Nov. 2001.
[15] R. Shah, A. Wolisz, and J. Rabaey, “On the Performance of Geographical Routing in the Presence of Localization Errors,” Proc. IEEE Int'l Conf. Comm. (ICC '05), pp. 2979-2985, May 2005.
[16] M. Witt and V. Turau, “The Impact of Location Errors on Geographic Routing in Sensor Networks,” Proc. Int'l Conf. Wireless and Mobile Comm. (ICWMC '06), pp. 76-76, 2006.
[17] Y. Kim, J.-J. Lee, and A. Helmy, “Modeling and Analyzing the Impact of Location Inconsistencies on Geographic Routing in Wireless Networks,” ACM SIGMOBILE Mobile Computing and Comm. Rev., vol. 8, no. 1, pp. 48-60, Jan. 2004.
[18] D. Manolakis and M. Cox, “Effect in Range Difference Position Estimation Due to Stations' Position Errors,” IEEE Trans. Aerospace and Electronic Systems, vol. 34, no. 1, pp. 329-334, Jan. 1998.
[19] K.C. Ho, X. Lu, and L. Kovavisaruch, “Source Localization Using TDOA and FDOA Measurements in the Presence of Receiver Location Errors: Analysis and Solution,” IEEE Trans. Signal Processing, vol. 55, no. 2, pp. 684-696, Feb. 2007.
[20] 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 Processing, vol. 57, no. 7, pp. 2775-2784, July 2009.
[21] L. Doherty, K.S.J. Pister, and L.E. Ghaoui, “Convex Position Estimation in Wireless Sensor Networks,” Proc. IEEE INFOCOM, vol. 3, pp. 1655-1663, Apr. 2001.
[22] C.-H. Chang and W. Liao, “Revisiting Relative Location Estimation in Wireless Sensor Networks,” Proc. IEEE Int'l Conf. Comm. (ICC), pp. 1-5, June 2009.
[23] K. Sinha and A.D. Chowdhury, “A Beacon Selection Algorithm for Bounded Error Location Estimation in Ad Hoc Networks,” Proc. Int'l Conf. Computing: Theory and Applications (ICCTA '07), pp. 87-93, 2007.
[24] S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge Univ., 2004.
[25] Y. Rockah and P. Schultheiss, “Array Shape Calibration Using Sources in Unknown Locations-Part I: Far-Field Sources,” IEEE Trans. Acoustics, Speech, Signal Processing, vol. 35, no. 3, pp. 286-299, Mar. 1987.
[26] Y. Rockah and P. Schultheiss, “Array Shape Calibration Using Sources in Unknown Locations-Part II: Near-Field Sources and Estimator Implementation,” IEEE Trans. Acoustics, Speech, Signal Processing, vol. 35, no. 6, pp. 724-735, June 1987.
[27] Y. Noam and H. Messer, “Notes on the Tightness of the Hybrid Cramer-Rao Lower Bound,” IEEE Trans. Signal Processing, vol. 57, no. 6, pp. 2074-2084, June 2009.
[28] S.M. Kay, Fundamentals of Statistical Signal Processing. Prentice-Hall, 1993.
[29] L. Hu and D. Evans, “Localization for Mobile Sensor Networks,” Proc. ACM MobiCom, pp. 45-57, Sept. 2004.
[30] P. Pathirana, A. Savkin, S. Jha, and N. Bulusu, “Node Localization Using Mobile Robots in Delay-Tolerant Sensor Networks,” IEEE Trans. Mobile Computing, vol. 4, no. 3, pp. 285-296, May/June 2005.
[31] W.-Y. Chiu and B.-S. Chen, “Mobile Location Estimation in Urban Areas Using Mixed Manhattan/Euclidean Norm and Convex Optimization,” IEEE Trans. Wireless Comm., vol. 8, no. 1, pp. 414-423, Jan. 2009.
[32] W.-Y. Chiu and B.-S. Chen, “Mobile Positioning Problem in Manhattan-Like Urban Areas: Uniqueness of Solution, Optimal Deployment of BSs, and Fuzzy Implementation,” IEEE Trans. Signal Processing, vol. 57, no. 12, pp. 4918-4929, Dec. 2009.
[33] W.-Y. Chiu and B.-S. Chen, “A Mixed-Norm Approach Using Simulated Annealing with Changeable Neighborhood for Mobile Location Estimation,” IEEE Trans. Mobile Computing, vol. 9, no. 5, pp. 633-642, May 2010.
[34] W.-Y. Chiu and B.-S. Chen, “Locating Mobiles in General Urban Areas Using Combined Convex Optimization and Weight-Product Tracking Method,” Proc. Int'l Conf. Wireless Comm. and Mobile Computing: Connecting the World Wirelessly (IWCMC), pp. 1085-1090, June 2009.
[35] B. Denis and N. Daniele, “NLOS Ranging Error Mitigation in a Distributed Positioning Algorithm for Indoor UWB Ad-Hoc Networks,” Proc. Int'l Workshop Wireless Ad-Hoc Networks, pp. 356-360, 2004.
[36] S. Venkatesh and R.M. Buehrer, “A Linear Programming Approach to NLOS Error Mitigation in Sensor Networks,” Proc. Conf. Information Processing in Sensor Networks, pp. 301-308, Apr. 2006.
[37] Q. Shi, S. Kyperountas, N.S. Correal, and F. Niu, “Performance Analysis of Relative Location Estimation for Multihop Wireless Sensor Networks,” IEEE J. Selected Areas in Comm., vol. 23, no. 4, pp. 830-838, Apr. 2005.
[38] A. Savvides, H. Park, and M.B. Srivastava, “The Bits and Flops of the N-Hop Multilateration Primitive for Node Localization Problems,” Proc. Int'l Workshop Sensor Networks and Applications, pp. 112-121, Sept. 2002.
[39] S. Capkun, M. Hamdi, and J.-P. Hubaux, “GPS-Free Positioning in Mobile Ad-Hoc Networks,” Proc. 34th IEEE Hawaii Int'l Conf. System Sciences, Jan. 2001.
[40] M.S. Rahman, Y. Park, and K.-D. Kim, “Relative Location Estimation of Vehicles in Parking Management System,” Proc. Int'l Conf. Advanced Comm. Technology, vol. 1, pp. 729-732, Feb. 2009.
[41] Y. Bai, Q. Huang, and L. Chen, “Segmentation-Aided and Density-Aware Hop-Count (SDH) Localization in Ad Hoc Networks,” Proc. IEEE Int'l Symp. Personal, Indoor and Mobile Radio Comm. (PIMRC), pp. 1-5, Sept. 2007.
[42] L. Montesano, J. Gaspar, J. Santos-Victor, and L. Montano, “Cooperative Localization by Fusing Vision-Based Bearing Measurements and Motion,” Proc. IEEE/RSJ Int'l Conf. Intelligent Robots and Systems, pp. 2333-2338, Aug. 2005.
[43] A. Savvides, C. Han, and M. Srivastava, “Dynamic Fine-Grained Localization in Ad-Hoc Networks of Sensors,” Proc. ACM MobiCom, pp. 166-179, July 2001.
[44] H. Tian, C. Huang, B. Blum, J. Stankovik, and T. Abdelzaher, “Range-Free Localization Schemes for Large Scale Sensor Networks,” Proc. ACM MobiCom, pp. 81-95, Sept. 2003.
[45] N. Yousef and A. Sayed, “A New Adaptive Estimation Algorithm for Wireless Location Finding Systems,” Proc. IEEE Third Asilomar Conf. Signals, Systems, Computers, pp. 491-495, Oct. 1999.
[46] P. Bahl and V. Padmanabhan, “RADAR: An In-Building RF-Based User Location and Tracking System,” Proc. IEEE INFOCOM, vol. 2, pp. 775-784, Apr. 2000.
[47] T. Bechtler and H. Yenigun, “2D Localization and Identification Based on SAW ID Tags at 2.5 GHz,” IEEE Trans. Microwave Theory and Techniques, vol. 51, no. 5, pp. 1584-1589, May 2003.
[48] C. Ma, R. Klukas, and G. Lachapelle, “An Enhanced Two-Step Least Squared Approach for TDOA/AOA Wireless Location Communication,” Proc. IEEE Int'l Conf. Comm. (ICC), pp. 987-991, May 2003.
[49] H. Hashemi, “The Indoor Radio Propagation Channel,” Proc. IEEE, vol. 81, no. 7, pp. 943-968, July 1993.
[50] E.K.P. Chong and S.H. Zak, An Introduction to Optimization. Wiley-Interscience, 2008.
[51] K. Ueda and N. Yamashita, “On a Global Complexity Bound of the Levenberg-Marquardt Method,” J. Optimization Theory and Applications, vol. 147, no. 3, pp. 443-453, 2010.
[52] R.D. Monteiro and T. Tsuchiya, “Polynomial Convergence of Primal-Dual Algorithms for the Second-Order Cone Program Based on the MZ-Family of Directions,” Math. Programming, vol. 88, no. 1, pp. 61-83, 2000.
[53] R.D. Monteiro and T. Tsuchiya, “Primal-Dual Path-Following Algorithms for Semidefinite Programming,” SIAM J. Optimization, vol. 7, no. 3, pp. 663-678, 1997.
[54] SeDuMi, http:/, 2011.
[55] R. McGill, J.W. Tukey, and W.A. Larsen, “Variations of Boxplots,” Am. Statistician, vol. 32, no. 1, pp. 12-16, 1978.
[56] S. Kumar, T.H. Lai, and J. Balogh, “On k-Coverage in a Mostly Sleeping Sensor Network,” Proc. ACM MobiCom, Sept. 2004.
[57] Z. Zhou, S. Das, and H. Gupta, “Connected K-Coverage Problem in Sensor Networks,” Proc. Int'l Conf. Computer Comm. and Networks, pp. 373-378, 2004.
[58] Y. Bejerano, “Simple and Efficient K-Coverage Verification without Location Information,” Proc. IEEE INFOCOM, pp. 291-295, 2008.
[59] G. Yang and D. Qiao, “Critical Conditions for Connected-k-Coverage in Sensor Networks,” IEEE Comm. Letters, vol. 12, no. 9, pp. 651-653, Sept. 2008.
[60] H.M. Ammari and J. Giudici, “On the Connected K-Coverage Problem in Heterogeneous Sensor Nets: The Curse of Randomness and Heterogeneity,” Proc. IEEE Int'l Conf. Distributed Computing Systems (ICDCS), pp. 265-272, 2009.
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