Path Design for Best Emitter Location Using Two Mobile Sensors

We consider the design of a pair of moving sensors trajectories for the purpose of optimally localizing a stationary emitter based on time-difference-of-arrival measurements. The localization error covariance matrix is predicted by the Cramér-Rao bound. As an optimization criterion for the localiza...

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Bibliographic Details
Published inIEEE transactions on signal processing Vol. 65; no. 19; pp. 5249 - 5261
Main Authors Tzoreff, Elad, Weiss, Anthony J.
Format Journal Article
LanguageEnglish
Published IEEE 01.10.2017
Subjects
alternating direction method of multipliers (ADMM)
augmented Lagrangian method (ALM)
Eigenvalues and eigenfunctions
Ellipsoids
majorization-minimization (MM) algorithm
Minimization
Optimization
semi-definite programming (SDP)
semi-definite relaxation (SDR)
Sensors
Time difference of arrival (TDOA)
Trajectory
Two dimensional displays
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Summary:We consider the design of a pair of moving sensors trajectories for the purpose of optimally localizing a stationary emitter based on time-difference-of-arrival measurements. The localization error covariance matrix is predicted by the Cramér-Rao bound. As an optimization criterion for the localization error, we propose the maximization of the smallest eigenvalue of the Fisher information matrix that is associated with the major principle axis of the confidence ellipsoid. We establish the path design problem under a set of constraints rising from speed, maneuvering, safety, and no-fly zones limitations. We propose a solution based on a nonconvex alternating direction method of multipliers. We examine the results of the algorithm for the case of a pair of sensor against the basin hopping global optimizer with impressive results.
ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2017.2728504