Numerous applications in the field of molecular communications (MC) such as healthcare systems are often event-driven. The conventional Shannon capacity may not be the appropriate metric for assessing performance in such cases. We propose the identification (ID) capacity as an alternative metric. Particularly, we consider randomized identification (RI) over the discrete-time Poisson channel (DTPC), which is typically used as a model for MC systems that utilize molecule-counting receivers. In the ID paradigm, the receiver's focus is not on decoding the message sent. However, he wants to determine whether a message of particular significance to him has been sent or not. In contrast to Shannon transmission codes, the size of ID codes for a Discrete Memoryless Channel (DMC) grows doubly exponentially fast with the blocklength, if randomized encoding is used. In this paper, we derive the capacity formula for RI over the DTPC subject to some peak and average power constraints. Furthermore, we analyze the case of state-dependent DTPC.

翻译：分子通信（MC）领域中的众多应用（如医疗系统）通常具有事件驱动特性。在此类场景下，传统香农容量可能并非合适的性能评估指标。本文提出将识别（ID）容量作为替代度量，特别考虑了离散时间泊松信道（DTPC）上的随机化识别（RI），该信道常被用作采用分子计数接收器的MC系统模型。在ID范式中，接收器的目标并非解码发送的消息，而是判断其特别关注的消息是否已被发送。与香农传输编码不同，若采用随机化编码，离散无记忆信道（DMC）的ID码字大小随分组长度呈双指数增长。本文推导了在峰值与平均功率约束条件下DTPC的RI容量公式，并进一步分析了状态相关DTPC的情况。