NDLI: Time-difference-of-arrival regularised location estimator for multilateration systems

Content Provider	IET Digital Library
Author	Gaviria, Ivan Antonio Mantilla Leonardi, Mauro Galati, Gaspare Tejedor, Juan Vicente Balbastre
Abstract	A new version of an open form localisation algorithm, called regularised location estimator (RLE), for time difference of arrival (TDOA) multilateration systems is proposed. This algorithm is based on Tikhonov regularisation and on maximum-likelihood estimation. It is aimed to solve the localisation problem for both well-conditioned and ill-conditioned situations. It provides solutions that are statistically and numerically efficient, in contrast to the algorithms in the literature providing solutions that are only efficient in one sense and that do not solve the ill-conditioned situations, which can be found in some operational conditions. A recursive formulation for estimating the regularisation parameter is provided and some mathematical analyses about the proposed estimator are also presented. A comparison with a large number of open and closed form algorithms in the literature is performed with both simulated and real data. The results show that the novel TDOA-RLE provides superior performance even in the case of well-conditioned situations.
Starting Page	479
Ending Page	489
Page Count	11
ISSN	17518784
Volume Number	8
e-ISSN	17518792
Issue Number	Issue 5, Jun (2014)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-rsn/8/5
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-rsn.2013.0151
Journal	IET Radar, Sonar & Navigation
Publisher Date	2013-12-17
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Air Traffic Control Air Traffic Control Technological Infrastructure Ill-conditioned Situation Mathematical Analysis Maximum Likelihood Estimation Maximum-likelihood Estimation Open Form Localisation Algorithm Recursive Estimation Recursive Formulation Regularisation Parameter Estimation RLE Signal Processing And Detection Statistics TDOA Multilateration System TDOA-RLE Tikhonov Regularisation Time Difference-of-arrival-regularised Location Estimator Time-of-arrival Estimation Well-conditioned Situation
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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