TY - GEN
T1 - On basic properties of localization using distance-difference measurements
AU - Xu, Xiaochun
AU - Sahni, Sartaj
AU - Rao, Nageswara S.V.
PY - 2008
Y1 - 2008
N2 - We study basic properties related to the task of localizing a source using distance-difference measurements to it. These properties are related to minimalistic realizations of localization systems in terms of the number of sensors and computational complexity. We first establish conditions for unique identification of a source in Euclidean plane. We then derive the minimum number of sensors needed for uniquely identifying a source for cases where it is located anywhere in the Euclidean plane and inside a polygonal monitoring region. The localization problem may be solved by computing the intersections points of two hyperbolas. While there are four intersection points in general, we show that there are only 2 for this localization problem, which in turn bounds the potential source estimates to be considered.
AB - We study basic properties related to the task of localizing a source using distance-difference measurements to it. These properties are related to minimalistic realizations of localization systems in terms of the number of sensors and computational complexity. We first establish conditions for unique identification of a source in Euclidean plane. We then derive the minimum number of sensors needed for uniquely identifying a source for cases where it is located anywhere in the Euclidean plane and inside a polygonal monitoring region. The localization problem may be solved by computing the intersections points of two hyperbolas. While there are four intersection points in general, we show that there are only 2 for this localization problem, which in turn bounds the potential source estimates to be considered.
UR - http://www.scopus.com/inward/record.url?scp=56749095324&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:56749095324
SN - 9783000248832
T3 - Proceedings of the 11th International Conference on Information Fusion, FUSION 2008
BT - Proceedings of the 11th International Conference on Information Fusion, FUSION 2008
T2 - 11th International Conference on Information Fusion, FUSION 2008
Y2 - 30 June 2008 through 3 July 2008
ER -