Mean and Variance of Received Signal in Diffusion-Based Mobile Molecular Communication

Molecular communication (MC) is a promising paradigm for conveying information at a micro- to nano-scale. Particles such as molecules are emitted and sensed by nanomachines. MC system for fixed nano-machines have been extensively researched while literature about the scenario where nanomachines are mobile is very limited. In this paper, a diffusion-based mobile MC system is considered. Both the transmitter and the receiver move randomly in a free diffusion manner. The closed-form expressions for the mean and the variance of the received signal by considering the randomness of both the mobility of nanomachines and particle counting noise are derived using double integrals. Simulation results validate the derived expressions for the mean and variance of the received signal.