To improve the accuracy and generalization of tunnel personnel positioning systems, this article proposes a quadratic weighted centroid algorithm. By adopting a Gaussian filter model to improve the range accuracy of the received signal strength indicator algorithm and combining the centroid algorithm and weighting factor with a trilateration positioning model, a quadratic weighted centroid algorithm is proposed to improve the positioning accuracy of unknown positioning nodes. The key ideas behind the quadratic weighted centroid algorithm include an optimization of the received signal strength indicator range value scheme, a centroid algorithm based on trilateral measurement positioning, and a weighting factor to improve the positioning accuracy of the trilateral centroid positioning algorithm. Compared with the centroid algorithm, the Min-Max multilateration algorithm, and the weighted centroid based on distance algorithm, the simulation results showed that (1) the positioning performance of the quadratic weighted centroid algorithm was superior to the other three algorithms; (2) when the reference nodes were symmetrically arranged, the positioning accuracy was higher than a fold line layout; and (3) when the lateral reference node spacing was extended from 20 to 30 m, the average positioning error met positioning accuracy requirements, which could reduce overall system costs.

中文翻译：

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一种用于隧道人员定位的二次加权质心算法

为了提高隧道人员定位系统的准确性和泛化性，本文提出了二次加权质心算法。采用高斯滤波器模型提高接收信号强度指标算法的距离精度，将质心算法和加权因子与三边测量定位模型相结合，提出二次加权质心算法来提高未知定位节点的定位精度。二次加权质心算法背后的关键思想包括优化接收信号强度指标范围值方案，基于三边测量定位的质心算法，以及提高三边形质心定位算法定位精度的加权因子。与质心算法相比，Min-Max多点定位算法，以及基于距离的加权质心算法，仿真结果表明：（1）二次加权质心算法的定位性能优于其他三种算法；(2)参考节点对称布置时，定位精度高于折线布置；(3)当横向参考节点间距从20m扩展到30m时，平均定位误差满足定位精度要求，可以降低系统整体成本。定位精度高于折线布局；(3)当横向参考节点间距从20m扩展到30m时，平均定位误差满足定位精度要求，可以降低系统整体成本。定位精度高于折线布局；(3)当横向参考节点间距从20m扩展到30m时，平均定位误差满足定位精度要求，可以降低系统整体成本。