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On Node Localizability Identification in Barycentric Linear Localization

Published: 08 December 2022 Publication History

Abstract

Determining whether nodes can be uniquely localized, called localizability detection, is a concomitant problem in network localization. Localizability detection under the traditional Non-Linear Localization (NLL) schema has been well explored, whereas localizability under the emerging Barycentric coordinate-based Linear Localization (BLL) schema has not been well investigated. Non-awareness of the node localizability in BLL may cause theoretically localizable nodes to converge to wrong locations because their locations are impacted by the wrong locations of the unlocalizable nodes through the iterative location propagation. In this article, the deficiency of existing localizability theories and algorithms in BLL is firstly investigated and then a necessary condition and a sufficient condition for BLL node localizability detection are proposed. Based on these two conditions, an efficient Iterative Maximum Flow (IMF) algorithm is designed to identify BLL localizable nodes, and only localizable nodes are selected to enable a Localizability Aware Barycentric Linear Localization (LABLL) algorithm, which can guarantee the locations of the localizable nodes converging correctly. The proposed IMF and LABLL algorithms are validated by both theoretical analysis and experimental evaluations.

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      Published In

      cover image ACM Transactions on Sensor Networks
      ACM Transactions on Sensor Networks  Volume 19, Issue 1
      February 2023
      565 pages
      ISSN:1550-4859
      EISSN:1550-4867
      DOI:10.1145/3561987
      Issue’s Table of Contents

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      Association for Computing Machinery

      New York, NY, United States

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      Publication History

      Published: 08 December 2022
      Online AM: 07 July 2022
      Accepted: 01 July 2022
      Revised: 13 May 2022
      Received: 21 February 2022
      Published in TOSN Volume 19, Issue 1

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      Author Tags

      1. Localizability detection
      2. max-flow
      3. barycentric coordinate
      4. linear localization
      5. wireless networks

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      • Refereed

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      • National Natural Science Foundation of China
      • Public Computing Cloud, Renmin University of China

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      • (2024)Understanding Hidden Knowledge in Generic GraphsIEEE/ACM Transactions on Networking10.1109/TNET.2024.336417732:3(2631-2645)Online publication date: Jun-2024
      • (2024)Angle-Based Distributed Node Localizability and LocalizationIEEE Transactions on Automatic Control10.1109/TAC.2023.333943769:3(1890-1897)Online publication date: Mar-2024
      • (2024)A Component-Based Localization Algorithm for Sparse 3-D Wireless Sensor NetworksIEEE Access10.1109/ACCESS.2024.335888912(51904-51918)Online publication date: 2024
      • (2023)GPART: Partitioning Maximal Redundant Rigid and Maximal Global Rigid Components in Generic Distance GraphsACM Transactions on Sensor Networks10.1145/359466819:4(1-26)Online publication date: 9-Jun-2023

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