Performance analysis of diffusive molecular timing channels

In this study, the authors consider a diffusive molecular communication channel where the information to be transmitted is the time of release of the information molecules. Using the truncated Levy distribution to model the first passage time of a molecule, the authors develop some general statistics for a random variable described by a truncated Levy distribution. The authors then consider a multi-particle molecular communication system, where the average arrival time of the information particles can be represented by a truncated Levy flight, and the number of molecules required for the cross-over from the Levy regime to the Gaussian regime to occur is calculated. Furthermore, they use these results to analyse single as well as multi-particle molecular communication channels in terms of capacity bounds and symbol error probability.