Efficient Joint Source and Sensor Localization in Closed-Form

This letter considers the problem of simultaneously locating multiple disjoint sources and refining erroneous sensor positions using TDOA measurements. The previous work by Yang and Ho to solve this problem cannot provide optimum accuracy for the sensor positions. The proposed estimator improves the previous method so that both the source and the sensor position estimates can achieve the Cramer-Rao lower bound (CRLB) accuracy. The theoretical derivation is corroborated by simulations.

[1]  K. C. Ho,et al.  An Approximately Efficient TDOA Localization Algorithm in Closed-Form for Locating Multiple Disjoint Sources With Erroneous Sensor Positions , 2009, IEEE Transactions on Signal Processing.

[2]  Yang Weng,et al.  Total Least Squares Method for Robust Source Localization in Sensor Networks Using TDOA Measurements , 2011, Int. J. Distributed Sens. Networks.

[3]  Wing-Kin Ma,et al.  Semi-definite programming approach to sensor network node localization with anchor position uncertainty , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[4]  Gang Wang,et al.  Efficient Convex Relaxation Methods for Robust Target Localization by a Sensor Network Using Time Differences of Arrivals , 2009, IEEE Transactions on Signal Processing.

[5]  La-or Kovavisaruch,et al.  Source Localization Using TDOA and FDOA Measurements in the Presence of Receiver Location Errors: Analysis and Solution , 2007, IEEE Transactions on Signal Processing.

[6]  Peter M. Schultheiss,et al.  Array shape calibration using sources in unknown locations-Part I: Far-field sources , 1987, IEEE Trans. Acoust. Speech Signal Process..

[7]  Bor-Sen Chen,et al.  Robust Relative Location Estimation in Wireless Sensor Networks with Inexact Position Problems , 2012, IEEE Transactions on Mobile Computing.

[8]  Shengli Zhou,et al.  Localization for Large-Scale Underwater Sensor Networks , 2007, Networking.

[9]  K. C. Ho,et al.  An Asymptotically Efficient Estimator for TDOA and FDOA Positioning of Multiple Disjoint Sources in the Presence of Sensor Location Uncertainties , 2011, IEEE Transactions on Signal Processing.

[10]  K. C. Ho,et al.  Refining inaccurate sensor positions using target at unknown location , 2012, Signal Process..

[11]  Peter M. Schultheiss,et al.  Array shape calibration using sources in unknown locations-Part II: Near-field sources and estimator implementation , 1987, IEEE Trans. Acoust. Speech Signal Process..

[12]  H. Messer,et al.  Source localization in shallow water in the presence of sensor location uncertainty , 2000, IEEE Journal of Oceanic Engineering.

[13]  WADE FOY,et al.  Position-Location Solutions by Taylor-Series Estimation , 1976, IEEE Transactions on Aerospace and Electronic Systems.