Achievable rate for a mobile molecular communication system

Molecular communication (MC) enables conveying information by emitting and sensing molecules at a micro-to nano-scale. MC systems for fixed nanomachines have been extensively investigated. However, the scenarios for mobile MC are seldomly studied. In the paper, the mutual information and maximum achievable rate for the mobile MC is investigated. The movement of the receiver nanomachine is modeled as a 2-D random walk. The channel impulse response is changing due to the moving property of the nanomachine. The mutual information and maximum achievable rate are analytically derived for the mobile scenario. Numerical results evaluates the influence of different parameters such as original transmitter-receiver distance, signal-to-noise ratio, threshold, and priori probabilities of transmitted symbol to the mutual information and maximum achievable rate.