Refining inaccurate sensor positions using target at unknown location

This paper addresses the problem of improving the receiver positions in a sensor array using the positioning measurements of targets at unknown locations. Using an efficient estimate of the target locations, a computationally efficient estimator is proposed to refine the sensor positions using the same set of measurements from the targets. The considered measurements include TOA and TDOA. The proposed estimator has closed-form and is able to reach the CRLB accuracy under small Gaussian noise which is supported by theoretical analysis and simulation studies.

[1]  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.

[2]  Yih-Fang Huang,et al.  Source Localization and Tracking Using Distributed Asynchronous Sensors , 2006, IEEE Transactions on Signal Processing.

[3]  G.B. Giannakis,et al.  Localization via ultra-wideband radios: a look at positioning aspects for future sensor networks , 2005, IEEE Signal Processing Magazine.

[4]  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..

[5]  S. Coraluppi,et al.  Multistatic Sonar Localization , 2006, IEEE Journal of Oceanic Engineering.

[6]  Anthony J. Weiss,et al.  Array shape calibration using sources in unknown locations-a maximum likelihood approach , 1989, IEEE Trans. Acoust. Speech Signal Process..

[7]  K.J.R. Liu,et al.  Signal processing techniques in network-aided positioning: a survey of state-of-the-art positioning designs , 2005, IEEE Signal Processing Magazine.

[8]  K. C. Ho,et al.  An accurate algebraic solution for moving source location using TDOA and FDOA measurements , 2004, IEEE Transactions on Signal Processing.

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

[10]  Harold W. Sorenson,et al.  Parameter estimation: Principles and problems , 1980 .

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

[12]  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.

[13]  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.

[14]  Anne Ferréol,et al.  On the asymptotic performance analysis of subspace DOA estimation in the presence of modeling errors: case of MUSIC , 2006, IEEE Transactions on Signal Processing.

[15]  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.

[16]  Kaveh Pahlavan,et al.  Modeling of the TOA-based distance measurement error using UWB indoor radio measurements , 2006, IEEE Communications Letters.

[17]  Fauzia Ahmad,et al.  Noncoherent approach to through-the-wall radar localization , 2006, IEEE Transactions on Aerospace and Electronic Systems.

[18]  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..

[19]  K. C. Ho,et al.  Alleviating Sensor Position Error in Source Localization Using Calibration Emitters at Inaccurate Locations , 2010, IEEE Transactions on Signal Processing.

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