Capacity of Discrete Molecular Diffusion Channels
In diffusion-based molecular communications, messages can be conveyed via the variation in the concentration of molecules in the medium. In this paper, the authors intend to analyze the achievable capacity in transmission of information from one node to another in a diffusion channel. They observe that because of the molecular diffusion in the medium, the channel possesses memory. They, then model the memory of the channel by a two-step Markov chain and obtain the equations describing the capacity of the diffusion channel. By performing a numerical analysis, they obtain the maximum achievable rate for different levels of the transmitter power, i.e., the molecule production rate.