Inscribed Matter Communication: Part II

This paper, when combined with Part I, provides a comprehensive fine-grained information theoretic treatment of molecular communication: the emission and detection of tokens (abiotic/biotic discrete particles such as molecules) wherein information is encoded in the release times of identical tokens (timing channel) and/or inscribed onto tokens (token payload). In Part I, we describe the overarching framework. Here, we develop results which extend previous timing channel results (Bits Through Queues) to emission schedules with deadlines and provide analytic expressions for a quantity key to the analysis of the identical token timing channel: the ordering entropy
$ {H(\Omega | \vec { \text {S}}, \text {T})}$
. Expressions for
$ {H(\Omega | \vec { \text {S}}, \text {T})}$
allow us to develop upper bounds for the mutual information between input and output of the identical token timing channel which are used in Part I for both the timing channel and the timing plus payload channel.