Information-Theoretical Analysis of Event-Triggered Molecular Communication

Numerous applications in the field of molecular communications (MC) such as healthcare systems are often eventdriven. The conventional Shannon capacity may not be the appropriate metric for assessing performance in such cases. Therefore, we investigate the message identification (ID) approach with the corresponding identification capacity as a performance metric. Particularly, we consider randomized identification (RI) over the discrete-time Poisson channel (DTCP), typically used as a model for MC systems that utilize molecule-counting receivers. In the ID paradigm, the receiver wants only 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 and the state-dependent DTPC subject to some peak and average power constraints.