近场中由感知诱导的具身通信
Sensing-Induced Embodied Communication in the Near Field
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中文总结 AI 辅助
本文研究近场感知诱导的具身通信，通过表征位置相关的各向异性可靠性几何、推导三维混淆区域的椭球表示，建立统一框架并证明近场体积装箱的容量增益。
中文摘要 AI 辅助
一体化感知与通信正将蜂窝基础设施转变为对物理世界的主动观测者。当这类基础设施与能够主动改变自身状态及周边环境的具身智能体交互时，物理世界本身可成为通信媒介。本文研究这种感知诱导的具身通信范式在近场中的基本通信极限。我们考虑一个智能体，其将消息映射到可控散射体在有界三维区域内的位置，而基站则从多快照单基地感知回波中解码所选位置。近场球面波前可同时分辨角度与距离，将具身符号空间从二维平面扩展至三维体积。然而，这一增益伴随着与位置相关且各向异性的可靠性几何结构。我们通过成对Bhattacharyya距离表征该几何结构，并推导由此产生的三维混淆区域的局部椭球表示，其主轴量化定向感知分辨率。该椭球在远场极限下退化为二维横向椭圆，统一了两种场景。随后，我们构建有限快照的ε-容量，并将可靠码本设计转化为三维装箱问题。面心立方结构提供可达速率，而几何逆推给出互补上界。数值结果验证了所提出的几何结构，并证明近场体积装箱相较于远场平面装箱的容量增益。这些结果为通过主动配置的物理状态进行通信建立了统一的几何与信息论框架。
英文摘要
Integrated sensing and communication is turning the cellular infrastructure into an active observer of the physical world. When such infrastructure interacts with embodied agents capable of deliberately changing their states and surroundings, the physical world itself can become a communication medium. This paper studies the fundamental communication limits of this sensing-induced embodied communication paradigm in the near field. We consider an agent that maps messages to the positions of a controllable scatterer within a bounded three-dimensional (3D) region, while a base station decodes the selected position from multi-snapshot monostatic sensing echoes. Near-field spherical wavefronts resolve both angle and range, expanding the embodied-symbol space from a 2D plane to a 3D volume. This gain, however, comes with a position-dependent and anisotropic reliability geometry. We characterize this geometry through the pairwise Bhattacharyya distance and derive a local ellipsoidal representation of the resulting 3D confusability regions, whose principal axes quantify directional sensing resolution. The ellipsoid further degenerates into the 2D transverse ellipse in the far-field limit, unifying the two regimes. We then formulate the finite-snapshot $ε$-capacity and translate reliable codebook design into a 3D packing problem. A face-centered cubic construction provides an achievable rate, while a geometric converse yields a complementary upper bound. Numerical results validate the proposed geometry and demonstrate the capacity gain of near-field volumetric packing over far-field planar packing. These results establish a unified geometric and information-theoretic framework for communication through deliberately configured physical states.
