Title
Optimal sensor placement for time difference of arrival localization
Abstract
This paper addresses the problem of localizing a source from noisy time-of-arrival measurements. In particular, we are interested in the optimal placement of M planar sensors so as to yield the best expected source location estimate. The main result, on maximizing the expected determinant of the Fisher information matrix for truncated, radially-symmetric source distributions, shows two features not previously observed. First, the sensors should be placed as far from the expected source position as possible. Second, the sensors should be arranged in a splay configuration in which neighboring sensors are separated by equal angle increments. Specific examples are given for point, uniform, and truncated-Gaussian source density functions.
Year
DOI
Venue
2009
10.1109/CDC.2009.5399478
CDC
Keywords
Field
DocType
matrix algebra,sensor placement,time-of-arrival estimation,Fisher information matrix,M planar sensors,arrival localization,neighboring sensors,noisy time-of-arrival measurement,optimal sensor placement,splay configuration,time difference,time-of-arrival source localization problem,truncated-Gaussian source density function
Mathematical optimization,Matrix algebra,Computer science,Planar,Fisher information,Multilateration,Covariance matrix
Conference
ISSN
Citations 
PageRank 
0743-1546
23
1.18
References 
Authors
7
3
Name
Order
Citations
PageRank
Jason T. Isaacs1434.74
Daniel J. Klein21017.62
João Pedro Hespanha314018.62