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首页> 外文期刊>Chinese Journal of Electronics >Optimality Analysis of Sensor-Target Geometries for Bearing-Only Passive Localization in Three Dimensional Space
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Optimality Analysis of Sensor-Target Geometries for Bearing-Only Passive Localization in Three Dimensional Space

机译：三维空间中仅方位被动定位的传感器目标几何形状的最优性分析

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摘要

Optimality analysis of sensor to target observation geometry for bearing-only passive localization is of practical significance in engineering and military applications and this paper generalized predecessors' researches in two-dimensions into three dimensional space. Based on the principles of Cramer-Rao lower bound (CRLB), Fisher information matrix (FIM) and the determinant of FIM derived by Cauchy-Binet formula, this paper configured the optimal observation geometry resulted from maximizing the determinant of FIM. Optimal observation geometry theorems and corresponding propositions were proved for N ≥ 2 sensors in three dimensions. One conjecture was proposed, i.e., when each range of N(N ≥ 4) sensors to the single target is identical, configuring the optimal geometry is equivalent to distributing N points uniformly on a unit sphere, which is one of the worldwide difficult problem. Studies in this paper can provide helpful reference for passive sensor deployment, route planning of detection platform and so on.
机译：仅用于轴承被动定位的传感器对目标观测几何的最优性分析在工程和军事应用中具有实际意义，本文将前人的研究推广到二维空间的三维空间中。基于Cramer-Rao下界（CRLB），Fisher信息矩阵（FIM）以及Cauchy-Binet公式导出的FIM行列式的原理，配置了最大化FIM行列式的最佳观测几何。在三个维度上证明了N≥2个传感器的最佳观测几何定理和相应的命题。提出了一个推测，即当到单个目标的N（N≥4）个传感器的每个范围相同时，配置最佳几何形状等效于在单位球面上均匀分布N个点，这是世界范围内的难题之一。本文的研究可以为无源传感器的部署，检测平台的路径规划等提供有益的参考。

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