In the context of positioning an agent with a single-anchor, this contribution focuses on the Fisher information about the position, orientation and clock offset of the agent provided by single-bounce reflections. The availability of prior knowledge of the agent’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 agent’s and anchor’s locations. We provide a geometrically intuitive explanation of the results and present numerical examples demonstrating their potential implications.

中文翻译：

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来自反射面的位置信息

在使用单锚定位代理的上下文中，此贡献侧重于有关由单反射反射提供的代理的位置、方向和时钟偏移的 Fisher 信息。通过虚拟锚位置的先验分布考虑代理环境先验知识的可用性，并研究所提供信息的等级、强度和方向。我们表明，当没有可用的先验知识时，单次反射反射提供平行于反射表面的方向上的位置信息，而与代理和锚点的位置无关。我们提供了对结果的几何直观解释，并提供了证明其潜在含义的数值示例。