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Optimum sensor placement for localization under log-normal shadowing
Conference proceeding

Optimum sensor placement for localization under log-normal shadowing

S Dasgupta, S C Ibeawuchi and Zhi Ding
2010 10th International Symposium on Communications and Information Technologies, pp.204-208
10/2010
DOI: 10.1109/ISCIT.2010.5664839

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Abstract

In source localization one estimates the location of a source using a variety of relative position information. Such relative position information is often provided by the received signal strength (RSS) which is in turn affected by log normal shadowing. This paper considers optimal sensor placement in two dimensions so that a source can be localized optimally from the RSS at various non-collinear sensors. We assume that the source to be localized is uniformly distributed in a circle. The goal is to optimally place sensors outside a larger concentric circle, by maximizing the smallest eigenvalue or the determinant of the expectation of an underlying Fisher Information matrix, or minimizing the trace of its inverse. We show that optimality is achieved if and only if the the expected value of the FIM is a scaled identity, and provide methods for achieving this condition.
Computers Eigenvalues and eigenfunctions Fisher Information Matrix Localization Minimization Mobile computing Monitoring Optimum Position measurement Received Signal Strength Sensors Shadow mapping

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