Title :
Overcoming singularities in TDoA Based location estimation using Total Least Square
Author :
Laaraiedh, Mohamed ; Avrillon, Stephane ; Uguen, Bernard
Author_Institution :
IETR, Univ. of Rennes 1, Rennes, France
Abstract :
In this paper, we propose an estimation scheme to overcome singularities which may deteriorate time difference of arrival (TDoA) based localization accuracy when using least square (LS) estimator. The solution is based on total least square (TLS) estimator. We provide an algorithm of localization which exploits the rank and the condition number of matrices in order to enhance accuracy. The Monte Carlo simulations show that the proposed algorithm outperforms the typical LS algorithm. It is also more robust to the erroneous TDoAs.
Keywords :
Monte Carlo methods; direction-of-arrival estimation; Monte Carlo simulations; location estimation; overcoming singularities; time difference of arrival; total least square estimator; Advertising; Circuits and systems; Least squares approximation; Least squares methods; Matrix decomposition; Performance evaluation; Robustness; Security; Time difference of arrival; Wireless networks; Least Square; Localization; Matrix Condition Number; Matrix Rank; Singular Value Decomposition; TDoA; Total Least Square; Wireless Networks;
Conference_Titel :
Signals, Circuits and Systems (SCS), 2009 3rd International Conference on
Conference_Location :
Medenine
Print_ISBN :
978-1-4244-4397-0
Electronic_ISBN :
978-1-4244-4398-7
DOI :
10.1109/ICSCS.2009.5412603
