Molecular Communication with Anomalous Diffusion in Stochastic Nanonetworks

TL;DR

This paper models molecular communication in nanonetworks with anomalous diffusion, deriving analytical expressions for first passage time and error rates, and proposing mitigation strategies considering interference effects.

Contribution

It introduces an analytical framework for molecular communication over anomalous diffusion channels, including error rate analysis and interference mitigation methods.

Findings

Derived the FPT distribution for anomalous diffusion channels.

Calculated the bit error rate using Fox's H-function.

Proposed a mitigation scheme for timing modulation under interference.

Abstract

Molecular communication in nature can incorporate a large number of nano-things in nanonetworks as well as demonstrate how nano-things communicate. This paper presents molecular communication where transmit nanomachines deliver information molecules to a receive nanomachine over an anomalous diffusion channel. By considering a random molecule concentration in a space-time fractional diffusion channel, an analytical expression is derived for the first passage time (FPT) of the molecules. Then, the bit error rate of the lth nearest molecular communication with timing binary modulation is derived in terms of Fox's H-function. In the presence of interfering molecules, the mean and variance of the number of the arrived interfering molecules in a given time interval are presented. Using these statistics, a simple mitigation scheme for timing modulation is provided. The results in this paper provide the network performance on the error probability by averaging over a set of random distances between the communicating links as well as a set of random FPTs caused by the anomalous diffusion of molecules. This result will help in designing and developing molecular communication systems for various design purposes.