ZHONG Yu, WU Xiaoyan, HUANG Shucai, et al., “Optimality Analysis of Sensor-Target Geometries for Bearing-Only Passive Localization in Three Dimensional Space,” Chinese Journal of Electronics, vol. 25, no. 2, pp. 391-396, 2016, doi: 10.1049/cje.2016.03.029
 Citation: ZHONG Yu, WU Xiaoyan, HUANG Shucai, et al., “Optimality Analysis of Sensor-Target Geometries for Bearing-Only Passive Localization in Three Dimensional Space,” Chinese Journal of Electronics, vol. 25, no. 2, pp. 391-396, 2016,

# Optimality Analysis of Sensor-Target Geometries for Bearing-Only Passive Localization in Three Dimensional Space

##### doi: 10.1049/cje.2016.03.029
• Rev Recd Date: 2015-03-08
• Publish Date: 2016-03-10
• 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.
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