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Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.ORCID iD: 0000-0002-7957-3711
2008 (English)In: IEEE Transactions on Signal Processing, ISSN 1053-587X, E-ISSN 1941-0476, Vol. 56, no 5, p. 1770-1778Article in journal (Refereed) Published
Abstract [en]

We consider least squares (LS) approaches for locating a radiating source from range measurements (which we call R-LS) or from range-difference measurements (RD-LS) collected using an array of passive sensors. We also consider LS approaches based on squared range observations (SR-LS) and based on squared range-difference measurements (SRD-LS). Despite the fact that the resulting optimization problems are nonconvex, we provide exact solution procedures for efficiently computing the SR-LS and SRD-LS estimates. Numerical simulations suggest that the exact SR-LS and SRD-LS estimates outperform existing approximations of the SR-LS and SRD-LS solutions as well as approximations of the R-LS and RD-LS solutions which are based on a semidefinite relaxation.

Place, publisher, year, edition, pages
2008. Vol. 56, no 5, p. 1770-1778
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Computer and Information Sciences
Identifiers
URN: urn:nbn:se:uu:diva-104189DOI: 10.1109/TSP.2007.909342ISI: 000255182400003OAI: oai:DiVA.org:uu-104189DiVA, id: diva2:219507
Available from: 2009-05-27 Created: 2009-05-27 Last updated: 2018-10-01Bibliographically approved

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