Accuracy analysis for TDOA localization in sensor networks

In this paper, passive emitter localization using Time Difference of Arrival (TDOA) measurements within a sensor network is investigated. Contrary to the case of a moving sensor pair the fact of correlated measurements in a single time step arises dependent on the choice of the measurement set. In tracking simulations, the Crame´r Rao Lower Bound (CRLB) and simulation results are often computed assuming constant standard deviations of the incoming measurements. Though, the measurement error is parameter dependent, it depends for example on the emitter-sensors-geometry. In Monte Carlo simulations, a comparison is performed between the localization in a static sensor network with three sensors and the localization using a moving sensor pair. Measurements are generated assuming additive white Gaussian noise with constant and parameter dependent variance. Results confirm the attainable localization accuracy and show the superior performance of an additional sensor compared to additional motion.

[1]  Xi Hu,et al.  Sensor Selection for Multiple Sensor Emitter Location Systems , 2008, 2008 IEEE Aerospace Conference.

[2]  Sailes K. Sengijpta Fundamentals of Statistical Signal Processing: Estimation Theory , 1995 .

[3]  Klaus Becker Target Motion Analysis (TMA) , 2000 .

[4]  Regina Kaune Gaussian Mixture (GM) Passive Localization using Time Difference of Arrival (TDOA) , 2009, GI Jahrestagung.

[5]  Darko Musicki,et al.  Mobile Emitter Geolocation and Tracking Using TDOA and FDOA Measurements , 2010, IEEE Transactions on Signal Processing.

[6]  Darko Musicki,et al.  On Passive Emitter Tracking in Sensor Networks , 2010 .

[7]  Julius O. Smith,et al.  Closed-form least-squares source location estimation from range-difference measurements , 1987, IEEE Trans. Acoust. Speech Signal Process..

[8]  Thia Kirubarajan,et al.  Estimation with Applications to Tracking and Navigation: Theory, Algorithms and Software , 2001 .

[9]  Branko Ristic,et al.  Recursive estimation of emitter location using TDOA measurements from two UAVs , 2007, 2007 10th International Conference on Information Fusion.

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

[11]  Frankie K. W. Chan,et al.  Closed-Form Formulae for Time-Difference-of-Arrival Estimation , 2008, IEEE Transactions on Signal Processing.

[12]  Regina Kaune,et al.  Performance Analysis of Passive Emitter Tracking using TDOA, AOA and FDOA Measurements , 2010, GI Jahrestagung.

[13]  Harvey F. Silverman,et al.  A Linear Closed-Form Algorithm for Source Localization From Time-Differences of Arrival , 2008, IEEE Signal Processing Letters.

[14]  R. Buehrer,et al.  A new Cramer-Rao lower bound for TOA-based localization , 2008, MILCOM 2008 - 2008 IEEE Military Communications Conference.