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

fYear

2009

fDate

6-8 Nov. 2009

Firstpage

1

Lastpage

4

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ICSCS.2009.5412603

Filename

5412603