Received Signal Strength for Randomly Distributed Molecular Nanonodes

TL;DR

This paper models the received signal strength between randomly distributed nanonodes in a circular area using molecular communication, deriving probability distributions for free diffusion and diffusion with drift to aid in understanding communication reliability.

Contribution

It introduces a stochastic process model for received signal strength in molecular nanonode communication, deriving its probability density and cumulative distribution functions for the first time.

Findings

Derived the probability density function of received signal strength.

Obtained the cumulative distribution function for free diffusion.

Laid groundwork for analyzing signal-to-noise ratio in molecular communication.

Abstract

We consider nanonodes randomly distributed in a circular area and characterize the received signal strength when a pair of these nodes employ molecular communication. Two communication methods are investigated, namely free diffusion and diffusion with drift. Since the nodes are randomly distributed, the distance between them can be represented as a random variable, which results in a stochastic process representation of the received signal strength. We derive the probability density function of this process for both molecular communication methods. Specifically for the case of free diffusion we also derive the cumulative distribution function, which can be used to derive transmission success probabilities. The presented work constitutes a first step towards the characterization of the signal to noise ratio in the considered setting for a number of molecular communication methods.