Efficient RSS-based collaborative localisation in wireless sensor networks

This paper presents a new collaborative location estimation method for wireless sensor networks WSN, referred to as an iterative tree search algorithm I-TSA. The proposed method is based on the grid search least square estimator LSE, which provides efficient estimation in the presence of noisy received signal strength RSS range measurements. The complexity analysis of the I-TSA algorithm showed that the computational requirement by each unknown-location sensor node scales linearly with the number of its neighbouring nodes, and that only a small communication overhead is required until its location estimate converges. This, in contrast to centralised methods, such as maximum likelihood estimator MLE and multidimensional scaling MDS, provides a feasible solution for distributed computation in large scale WSN. Furthermore, the performance of I-TSA, is evaluated with reference to the Cramer-Rao bound CRB and compared with MLE, MDS and MDS-MLE methods. The results showed that I-TSA achieves lower standard deviations and biases for various simulation scenarios.

[1]  Xiaohu You,et al.  Localization by Hybrid TOA, AOA and DSF Estimation in NLOS Environments , 2010, 2010 IEEE 72nd Vehicular Technology Conference - Fall.

[2]  James C. Spall,et al.  Introduction to stochastic search and optimization - estimation, simulation, and control , 2003, Wiley-Interscience series in discrete mathematics and optimization.

[3]  G. Terrell,et al.  Iterated grid search algorithm on unimodal criteria , 1997 .

[4]  Andrea Goldsmith,et al.  Wireless Communications , 2005, 2021 15th International Conference on Advanced Technologies, Systems and Services in Telecommunications (TELSIKS).

[5]  Xinrong Li,et al.  Collaborative Localization With Received-Signal Strength in Wireless Sensor Networks , 2007, IEEE Transactions on Vehicular Technology.

[6]  Mani B. Srivastava,et al.  The bits and flops of the n-hop multilateration primitive for node localization problems , 2002, WSNA '02.

[7]  A. J. Weiss,et al.  Maximum-likelihood position estimation of network nodes using range measurements , 2008 .

[8]  Alfred O. Hero,et al.  Relative location estimation in wireless sensor networks , 2003, IEEE Trans. Signal Process..

[9]  Don J. Torrieri,et al.  Statistical Theory of Passive Location Systems , 1984, IEEE Transactions on Aerospace and Electronic Systems.

[10]  Ying Zhang,et al.  Localization from connectivity in sensor networks , 2004, IEEE Transactions on Parallel and Distributed Systems.

[11]  Frankie K. W. Chan,et al.  Efficient Weighted Multidimensional Scaling for Wireless Sensor Network Localization , 2009, IEEE Transactions on Signal Processing.

[12]  Alfred O. Hero,et al.  Distributed weighted-multidimensional scaling for node localization in sensor networks , 2006, TOSN.

[13]  A. Neumaier,et al.  A grid algorithm for bound constrained optimization of noisy functions , 1995 .

[14]  James C. Spall,et al.  Introduction to stochastic search and optimization - estimation, simulation, and control , 2003, Wiley-Interscience series in discrete mathematics and optimization.

[15]  Shusen Yang,et al.  Distributed optimisation in dynamic wireless sensor networks , 2013 .

[16]  Anthony J. Weiss,et al.  On the accuracy of a cellular location system based on RSS measurements , 2003, IEEE Trans. Veh. Technol..

[17]  Xiang Ji,et al.  Sensor positioning in wireless ad-hoc sensor networks using multidimensional scaling , 2004, IEEE INFOCOM 2004.

[18]  Bhaskar Krishnamachari,et al.  Sequence-Based Localization in Wireless Sensor Networks , 2008 .

[19]  Robert Nowak,et al.  Distributed optimization in sensor networks , 2004, Third International Symposium on Information Processing in Sensor Networks, 2004. IPSN 2004.