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）在医疗系统等领域的众多应用通常是事件驱动的。传统香农容量在此类情况下可能不是评估性能的合适指标。我们提出将辨识（ID）容量作为替代指标。具体而言，我们考虑在典型用于采用分子计数接收机的MC系统的离散时间泊松信道（DTPC）上的随机化辨识（RI）。在ID范式中，接收者关注的并非解码所发送的消息，而是想确定是否收到了对其具有特殊重要性的消息。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编码规模随码块长度呈双重指数增长。本文推导了在峰值和平均功率约束下DTPC上RI的容量公式，并进一步分析了状态依赖型DTPC的情况。