Title
Sensor Allocation for Source Localization With Decoupled Range and Bearing Estimation
Abstract
The source localization accuracy is known to be affected by the placement of sensors. This paper addresses the problem of optimum sensor allocation for decoupled range and bearing estimation, as well as position estimation of an emitting source, under the constraint that all sensors must be confined within a certain area. The source is assumed to be distant and has a curved wavefront when arriving at the sensors. The optimization criterion is the minimum estimation variance defined by the Cramer-Rao lower bound that is derived under Gaussian noise model. A geometric approach is employed to arrive at the optimum geometries and no complicated optimization technique is required. The optimum sensor allocations for time difference of arrival (TDOA), angle of arrival (AOA), and time of arrival (TOA) positionings are derived and their estimation accuracies are contrasted. The optimum geometries belong to the generic structure of a ring array plus some sensors at the center. TDOA and TOA are found to have identical optimum geometries for bearing estimation and yield the same accuracy, although the position localization accuracy of TDOA is known to be worse than that of TOA. Simulations are included to confirm the theoretical development and illustrate the improvement of using an optimum array compared to a random sensor placement array.
Year
DOI
Venue
2008
10.1109/TSP.2008.2005096
IEEE Transactions on Signal Processing
Keywords
Field
DocType
direction-of-arrival estimation,optimisation,wireless sensor networks,Cramer-Rao lower bound,Gaussian noise model,TDOA,TOA,angle of arrival,bearing estimation,decoupled range,optimization criterion,position estimation,sensor allocation,source localization,time difference of arrival,time of arrival,CramÉr–Rao lower bound (CRLB),angle of arrival (AOA),sensor allocation,source localization,time difference of arrival (TDOA),time of arrival (TOA)
Cramér–Rao bound,Control theory,Sensor array,Antenna array,Angle of arrival,Multilateration,Estimation theory,Gaussian noise,Mathematics,Time of arrival
Journal
Volume
Issue
ISSN
56
12
1053-587X
Citations 
PageRank 
References 
7
0.67
9
Authors
2
Name
Order
Citations
PageRank
K.C. Ho11311148.28
L.M. Vicente270.67