A new Cramer-Rao lower bound for TOA-based localization
A new Cramer-Rao lower bound for TOA-based localization
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DOI：
10.1109/milcom.2008.4753258
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发表时间：
2008-11
期刊：
影响因子：
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通讯作者：
T. Jia;R. Buehrer
中科院分区：
文献类型：
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作者：
T. Jia;R. Buehrer
本文导出了基于二维到达时间定位的Cramer-Rao下界（CRLB）。与之前在CRLB上的工作不同，我们考虑了一个更实际的传播通道，并通过距离相关方差模型将其与节点间距离估计联系起来。我们证明这将影响Fisher信息矩阵（FIM）的推导，最终导致与现有推导不同的CRLB。这个新的理论框架为我们提供了锚节点几何结构对定位精度的直接影响的额外见解。
In this paper, we derive the Cramer-Rao lower bound (CRLB) for the 2-dimensional (2D) time-of-arrival (TOA) based localization. Unlike previous work on the CRLB, we consider a more practical propagation channel and relate it to inter-node range estimate through a distance-dependent variance model. We demonstrate that this will impact the derivation of the Fisher information matrix (FIM), eventually leading to a CRLB different from the existing derivations. This new theoretical framework provides us with additional insights on the immediate impact of the geometric configuration of anchor nodes on the localization accuracy.