论文标题
在扩散分子通信中首先到达位置通道的能力
On the Capacity of Zero-Drift First Arrival Position Channels in Diffusive Molecular Communication
论文作者
论文摘要
了解分子通信（MC）中首次到达位置（FAP）渠道的冲动响应（MC）的最新进展已阐明了其香农的能力。而Lee等。阐明了具有垂直漂移的FAP通道能力，零饮用场景仍然是一个难题，这主要是由于与重尾库奇分布相关的挑战，其第一和第二矩不存在，这使传统的共同信息约束无效。本文揭示了2D和3D的零漂移FAP通道容量的新颖表征。有趣的是，我们的结果揭示了其2D同行的3D FAP通道容量，这暗示着随着空间尺寸增长的能力增加。此外，我们的方法结合了修改的对数约束和输出信号约束，提供了简化，更直观的公式（类似于众所周知的高斯案例），用于估计FAP通道容量。
Recent advancements in understanding the impulse response of the first arrival position (FAP) channel in molecular communication (MC) have illuminated its Shannon capacity. While Lee et al. shed light on FAP channel capacities with vertical drifts, the zero-drift scenario remains a conundrum, primarily due to the challenges associated with the heavy-tailed Cauchy distributions whose first and second moments do not exist, rendering traditional mutual information constraints ineffective. This paper unveils a novel characterization of the zero drift FAP channel capacity for both 2D and 3D. Interestingly, our results reveal a 3D FAP channel capacity that is double its 2D counterpart, hinting at a capacity increase with spatial dimension growth. Furthermore, our approach, which incorporates a modified logarithmic constraint and an output signal constraint, offers a simplified and more intuitive formula (similar to the well-known Gaussian case) for estimating FAP channel capacity.
