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ZHONG Yu, WU Xiaoyan, HUANG Shucai, LI Chengjing, WU Jianfeng. Optimality Analysis of Sensor-Target Geometries for Bearing-Only Passive Localization in Three Dimensional Space[J]. Chinese Journal of Electronics, 2016, 25(2): 391-396. DOI: 10.1049/cje.2016.03.029
Citation: ZHONG Yu, WU Xiaoyan, HUANG Shucai, LI Chengjing, WU Jianfeng. Optimality Analysis of Sensor-Target Geometries for Bearing-Only Passive Localization in Three Dimensional Space[J]. Chinese Journal of Electronics, 2016, 25(2): 391-396. DOI: 10.1049/cje.2016.03.029
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Optimality Analysis of Sensor-Target Geometries for Bearing-Only Passive Localization in Three Dimensional Space

  • Air and Missile Defense College, Air Force Engineering University, Xi'an 710051, China

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  • Received Date: December 17, 2013
  • Revised Date: March 07, 2015
  • Published Date: March 09, 2016
    Graphical Abstract
    • Abstract
  • 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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    • References (23)
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