Weighted least squares solution for RSS based localization in correlated shadowing

In this paper, we study the received signal strength (RSS) based localization problem with correlated shadowing between pairs of RSS measurements. By linearizing the correlated RSS model, a weighted least squares (WLS) is formulated to obtain the target location. We also study the correlated shadowing when differential received signal strength (DRSS) is deployed as measurements. Numerical simulations show that the proposed algorithms outperform the algorithms that do not take the correlation between measurements into consideration.

[1]  S. Kay Fundamentals of statistical signal processing: estimation theory , 1993 .

[2]  R. Michael Buehrer,et al.  Location Estimation Using Differential RSS with Spatially Correlated Shadowing , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

[3]  Theodore S. Rappaport,et al.  Wireless Communications: Principles and Practice (2nd Edition) by , 2012 .

[4]  R.L. Moses,et al.  Locating the nodes: cooperative localization in wireless sensor networks , 2005, IEEE Signal Processing Magazine.

[5]  Hing-Cheung So,et al.  Linear Least Squares Approach for Accurate Received Signal Strength Based Source Localization , 2011, IEEE Trans. Signal Process..

[6]  K. C. Ho,et al.  An Accurate Algebraic Closed-Form Solution for Energy-Based Source Localization , 2007, IEEE Transactions on Audio, Speech, and Language Processing.

[7]  R. Michael Buehrer,et al.  Received signal strength-based sensor localization in spatially correlated shadowing , 2013, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing.

[8]  B. Guisnet,et al.  Measurements and modelisation of shadowing cross-correlations between two base-stations , 1998, ICUPC '98. IEEE 1998 International Conference on Universal Personal Communications. Conference Proceedings (Cat. No.98TH8384).

[9]  Zhi Ding,et al.  Distance Estimation From Received Signal Strength Under Log-Normal Shadowing: Bias and Variance , 2008, IEEE Signal Processing Letters.

[10]  Theodore S. Rappaport,et al.  Wireless communications - principles and practice , 1996 .

[11]  Theodore S. Rappaport,et al.  Statistics of shadowing in indoor radio channels at 900 and 1900 MHz , 1992, MILCOM 92 Conference Record.

[12]  Charles W. Therrien,et al.  Probability and Random Processes for Electrical and Computer Engineers , 2011 .