TY - JOUR
T1 - Path Design for Best Emitter Location Using Two Mobile Sensors
AU - Tzoreff, Elad
AU - Weiss, Anthony J.
N1 - Publisher Copyright:
© 1991-2012 IEEE.
PY - 2017/10/1
Y1 - 2017/10/1
N2 - 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.
AB - 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.
KW - Time difference of arrival (TDOA)
KW - alternating direction method of multipliers (ADMM)
KW - augmented Lagrangian method (ALM)
KW - majorization-minimization (MM) algorithm
KW - semi-definite programming (SDP)
KW - semi-definite relaxation (SDR)
UR - http://www.scopus.com/inward/record.url?scp=85028844805&partnerID=8YFLogxK
U2 - 10.1109/TSP.2017.2728504
DO - 10.1109/TSP.2017.2728504
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AN - SCOPUS:85028844805
SN - 1053-587X
VL - 65
SP - 5249
EP - 5261
JO - IEEE Transactions on Signal Processing
JF - IEEE Transactions on Signal Processing
IS - 19
M1 - 7982807
ER -