Localization based on periodic signals with ambiguity

Joseph S. Picard, Anthony J. Weiss

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this work we examine new ways to solve a localization problem when the observed signals are periodic and the period is too small to provide ambiguity free measurements. Along its trajectory, a mobile receiver collects periodic signals from a target and provides ambiguous time-of-arrival measurements. We propose a procedure based on convex optimization that resolves measurement ambiguities and achieves target localization with high positioning accuracy. This procedure is efficient and reaches the Cramer-Rao accuracy bound. It even outperforms the grid-search based implementation of the Maximum Likelihood estimator, in terms of accuracy and computational complexity. Numerical examples corroborate our results.

Original languageEnglish
Title of host publication2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010
Pages1007-1011
Number of pages5
DOIs
StatePublished - 2010
Event2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010 - Eilat, Israel
Duration: 17 Nov 201020 Nov 2010

Publication series

Name2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010

Conference

Conference2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010
Country/TerritoryIsrael
CityEilat
Period17/11/1020/11/10

Keywords

  • Ambiguity
  • Convex optimization
  • Sparsity

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