Performance and Statistical Characterization of Stochastic Diffusion-Based Molecular Communication System

This work considers a three-dimensional mobile molecular communication (MC) via diffusion-based system. The communicating devices in the considered mobile MC system can move through Gaussian Brownian movement with emitted information-carrying molecules. We propose stochastic diffusivity models for both communicating devices and information-carrying molecules. Using the stochastic diffusivity model and considering initial distance as a reference, we derive the probability density function of the relative distance between the communicating devices. Through the proposed stochastic diffusivity model, we characterize the mobile MC channel by channel impulse response (CIR) and derive its statistical mean and the bit error rate expressions. Furthermore, we show the degree of accuracy of the mean of CIR through root mean square error using the Poisson and Gaussian distribution models.