定位性与基于测距的分布式协议在任意维度网络定位中的应用
Localizability and Distributed Protocols for Bearing-Based Network Localization in Arbitrary Dimensions
AI总结:
本文研究了基于测距的网络定位问题,提出网络定位的必要充分条件及适用于任意维度空间的分布式协议。
摘要:
本文研究了基于测距的网络定位问题,提出网络定位的必要充分条件及适用于任意维度空间的分布式协议。
英文摘要:
This paper addresses the problem of bearing-based network localization, which aims to localize all the nodes in a static network given the locations of a subset of nodes termed anchors and inter-node bearings measured in a common reference frame. The contributions of the paper are twofold. Firstly, we propose necessary and sufficient conditions for network localizability with both algebraic and rigidity theoretic interpretations. The analysis of the localizability heavily relies on the recently developed bearing rigidity theory and a special matrix termed the bearing Laplacian. Secondly, we propose a linear distributed protocol for bearing-based network localization. The protocol can globally localize a network if and only if the network is localizable. The sensitivity of the protocol to constant measurement errors is also analyzed. One novelty of this work is that the localizability analysis and localization protocol are applicable to networks in arbitrary dimensional spaces.
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