This paper explores the capacity of additive Vertically-Drifted First Arrival Position (VDFAP) noise channels, which are emerging as a new paradigm for diffusive molecular communication. Analogous to the capacity of parallel Gaussian channels, the capacity of VDFAP noise channels is defined as the supremum of the mutual information between the input and output signals subject to an overall second-moment constraint on input distributions. Upper and lower bounds for this capacity are derived for the case of three spatial dimensions, based on an analysis of the characteristic function of the VDFAP distribution and an investigation of its stability properties. The results of this study contribute to the ongoing effort to understand the fundamental limits of molecular communication systems.

翻译：本文探讨了加性垂直漂移首次到达位置（VDFAP）噪声信道的容量，该信道正成为扩散分子通信的一种新范式。与并行高斯信道的容量类似，VDFAP噪声信道的容量定义为在输入分布的整体二阶矩约束下，输入与输出信号之间互信息的上确界。基于对VDFAP分布特征函数的分析及其稳定性性质的研究，本文推导了三维空间情形下该容量的上下界。本研究的结果有助于持续理解分子通信系统的基本极限。