On Flow-Induced Diffusive Mobile Molecular Communication: First Hitting Time and Performance Analysis

TL;DR

This paper derives closed-form expressions for the first hitting time and communication performance metrics in flow-induced diffusive molecular communication with various nanomachine mobility scenarios, validated through simulations.

Contribution

It provides the first analytical expressions for first hitting time PDFs and communication performance in mobile molecular channels with flow, considering different mobility configurations.

Findings

Closed-form PDFs for first hitting time under mobility conditions

Performance metrics such as detection probability and error rate derived

Simulation results confirm analytical expressions and provide system insights

Abstract

This work considers the problem of flow-induced diffusive molecular communication under various mobility conditions such as (i) both transmitter (TX) and receiver (RX) nanomachines are mobile, (ii) TX is mobile and RX is fixed, and (iii) TX is fixed and RX is mobile. Closed-form expressions for the probability density function (PDF) of the first hitting time under the aforementioned mobile scenarios are derived, by characterizing the movement of the nanomachines and information molecules using Brownian motion with positive drift. The derived PDF expressions are validated through particle-based simulations. Based on these results, the performance of molecular communication with on-off keying (OOK) modulation in flow-induced diffusive channels is investigated. In particular, closed-form expressions for the probabilities of detection and false alarm with optimal Likelihood ratio test (LRT) based decision rule, probability of error, and the capacity in the presence of inter-symbol interference, counting errors, and noise from the other sources are derived. Simulation results are presented to verify the theoretical results and to yield insights into the system performance for different mobility conditions.