NDLI: A Simple Closed-Form Linear Source Localization Algorithm

Content Provider	IEEE Xplore Digital Library
Author	Xu, Zhengyuan Liu, Ning Sadler, Brian M.
Copyright Year	2007
Description	Author affiliation: Department of Electrical Engineering, University of California, Riverside, CA 92521 USA (Liu, Ning) \|\| Army Research Laboratory, AMSRD-ARL-CI-CN, Adelphi, MD 20783 USA. bsadler@arl.army.mil (Sadler, Brian M.) \|\| Department of Electrical Engineering, University of California, Riverside, CA 92521 USA. dxu@ee.ucr.edu (Xu, Zhengyuan)
Abstract	A closed-form linear solver is proposed to estimate a source location based on time difference of arrivals from the source measured by two neighboring sensors in a linear array. Those sensors are shown to be located at different foci of paired hyperbolas. Using a geometric representation of a hyperbola that is defined as the locus of points whose distance from the focus is proportional to the distance from a directrix, a set of linear equations for the x-coordinate of the source are derived, and subsequently the y-coordinate is solved from a set of equations describing Cartesian coordinates of source and sensors. The algorithm is applicable to both near-field and far-field scenarios without any approximation. It also enjoys simplicity and computational efficiency without the nonlinearity inherited from hyperbolic equations. The estimation error is characterized by the estimation performance of the time differences. Simulation results show that the proposed algorithm has a similar performance with the maximum-likelihood estimator at high signal to noise ratio.
Starting Page	1
Ending Page	7
File Size	342518
Page Count	7
File Format	PDF
ISBN	9781424415120
DOI	10.1109/MILCOM.2007.4454975
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-10-29
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Sensor arrays Nonlinear equations Position measurement Time difference of arrival Time measurement Sensor phenomena and characterization Approximation algorithms Computational efficiency Estimation error Computational modeling
Content Type	Text
Resource Type	Article

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An efficient closed-form localization solution from time difference of arrival measurements

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A Simple Closed-Form Linear Source Localization Algorithm

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