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On the Statistical Model of Source Localization based on Range Difference Measurements

Information Theory 2016-06-28 v1 Sound math.IT

Abstract

In this work we study the statistical model of source localization based on Range Difference measurements. We investigate the case of planar localization of a source using a minimal configuration of three non aligned receivers. Our analysis is based on a previous work of the same authors concerning the localization in a noiseless scenario. As the set of feasible measurements is a semialgebraic variety, this investigation makes use of techniques from Algebraic Statistics and Information Geometry.

Keywords

Cite

@article{arxiv.1606.08303,
  title  = {On the Statistical Model of Source Localization based on Range Difference Measurements},
  author = {Marco Compagnoni and Roberto Notari and Fabio Antonacci and Augusto Sarti},
  journal= {arXiv preprint arXiv:1606.08303},
  year   = {2016}
}

Comments

24 pages, 12 figures

R2 v1 2026-06-22T14:35:16.243Z