Channel modeling and achievable data rate for 1-D molecular communication in bounded environments

Abstract

In this paper, we propose the analytical propagation model for diffusive molecular communication in an one-dimensional bounded environment, and determine the available data rate for a given limit of interference. Molecular communication is a promising solution for applications when the typical electromagnetic communication is not available. However, due to the randomness of the molecule movement, it is challenging to analyze the channel in molecular communication. Taking into account the impact of an absorbing boundary to the one-dimensional vessel-like channel, we model the time-varying distribution of the releasing molecules. Accordingly, we derive the hitting probabilities for an information molecule to separately reach the receiver or the boundary, and present the impulse response of the channel at a given time t. Moreover, under the same environment, we consider the time duration between transmissions of a binary modulation system for a given level of inter-symbol interference. Our analysis shows that, for a certain degree of interference, the available data rate of the system can be expressed as 2Dαth2S2, where S is the distance between the receiver and the boundary, and D is the diffusion coefficient of the channel, and αth2 is the corresponding index to the interference degree. The authenticity of our analysis are verified via simulations.