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Least squares algorithms for time-of-arrival-based mobile location

Published: 01 April 2004 Publication History

Abstract

Localization of mobile phones is of considerable interest in wireless communications. In this correspondence, two algorithms are developed for accurate mobile location using the time-of-arrival measurements of the signal from the mobile station received at three or more base stations. The first algorithm is an unconstrained least squares (LS) estimator that has implementation simplicity. The second algorithm solves a nonconvex constrained weighted least squares (CWLS) problem for improving estimation accuracy. It is shown that the CWLS estimator yields better performance than the LS method and achieves both the Crame´r-Rao lower bound and the optimal circular error probability at sufficiently high signal-to-noise ratio conditions.

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cover image IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing  Volume 52, Issue 4
April 2004
304 pages

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IEEE Press

Publication History

Published: 01 April 2004

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Cited By

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  • (2024)Global strong convexity and characterization of critical points of time-of-arrival-based source localizationComputational Geometry: Theory and Applications10.1016/j.comgeo.2023.102077119:COnline publication date: 1-Apr-2024
  • (2023)Integrating AOA With TDOA for Joint Source and Sensor LocalizationIEEE Transactions on Signal Processing10.1109/TSP.2023.328041771(2087-2102)Online publication date: 1-Jan-2023
  • (2023)Cooperative Localization With the Fusion of GNSS and Relative Range Information in Vehicular Ad-Hoc NetworksIEEE Transactions on Intelligent Transportation Systems10.1109/TITS.2023.328720924:11(11864-11877)Online publication date: 1-Nov-2023
  • (2023)Robust graph‐based localization for industrial Internet of things in the presence of flipping ambiguitiesCAAI Transactions on Intelligence Technology10.1049/cit2.122038:4(1140-1149)Online publication date: 1-Mar-2023
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  • (2022)Computationally attractive and statistically efficient estimator for noise resilient TOA localizationSignal Processing10.1016/j.sigpro.2022.108663200:COnline publication date: 1-Nov-2022
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