来自单次反弹反射的位置信息
Position Information from Single-Bounce Reflections
摘要:
在定位一个目标与一个单一的锚的上下文中,这方面的贡献集中在费舍尔信息的位置,方向和时钟偏移的目标所提供的单反弹反射。通过虚拟锚点位置的先验分布考虑目标环境的先验知识的可用性,并研究所提供信息的秩、强度和方向。我们表明,当没有先验知识是可用的,单反弹反射提供的位置信息在平行于反射表面的方向上,无论目标和锚的位置。我们提供了一个几何直观的解释的结果,并提出了数值例子证明其潜在的影响。
英文摘要:
In the context of positioning a target with a single-anchor, this contribution focuses on the Fisher information about the position, orientation and clock offset of the target provided by single-bounce reflections. The availability of prior knowledge of the target's environment is taken into account via a prior distribution of the position of virtual anchors, and the rank, intensity and direction of provided information is studied. We show that when no prior knowledge is available, single-bounce reflections offer position information in the direction parallel to the reflecting surface, irrespective of the target's and anchor's locations. We provide a geometrically intuitive explanation of the results and present numerical examples demonstrating their potential implications.
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