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We study diversity in one-shot communication over molecular timing channels.We consider a channel model where the transmitter simultaneously releases alarge number of information particles, while the information is encoded in thetime of release. The receiver decodes the information based on the random timeof arrival of the information particles. The random propagation ischaracterized by the general class of right-sided unimodal densities. Wecharacterize the asymptotic exponential decrease rate of the probability oferror as a function of the number of released particles, and denote thisquantity as the system diversity gain. Four types of detectors are considered:the maximum-likelihood (ML) detector, a linear detector, a detector that isbased on the first arrival (FA) among all the transmitted particles, and adetector based on the last arrival (LA). When the density characterizing therandom propagation is supported over a large interval, we show that the simpleFA detector achieves a diversity gain very close to that of the ML detector. Onthe other hand, when the density characterizing the random propagation issupported over a small interval, we show that the simple LA detector achieves adiversity gain very close to that of the ML detector.

Exploiting Diversity in Molecular Timing Channels via Order Statistics