Performance Evaluation and Optimal Detection of Relay-Assisted Diffusion-Based Molecular Communication With Drift

Abstract

In this paper, we consider a decode-and-forward (DF) relay-assisted diffusion-based molecular communication system inside one of the blood vessels of a human body with positive drift from transmitter to receiver. We use the normal approximation to the distribution of the number of received molecules and derive a closed-form expression for the end-to-end bit error probability of the system. We then propose an optimization problem that aims at minimizing the bit error probability of the system and solve it at the receiver nanomachine by an algorithm based on the bisection method to determine the optimal detection threshold. Furthermore, we study the impact of the system parameters, such as drift velocity, position of the relay node and number of allocated molecules on the performance of the system. The numerical results show that with a constant molecular budget, DF relying strategy can considerably improve the system performance.

Abnormality Detection Inside Blood Vessels With Mobile Nanomachines

“…Further note that S k [j + 1] and I k [i], i = 2, 3, · · · , j are independent since the molecules transmitted in different time slots do not interfere with each other [18], [22]. Based on the system model discussed above, the AND and OR logic based rules at the FC are defined as follows.…”

“…where the optimal decision threshold γ ′ k [j + 1] is given as In (22), the quantities γ k [j + 1] and α k [j + 1] are defined as…”

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

“…TX and RX are placed on a straight line at a certain distance from each other and the movement of both nanomachines is modeled as a 1D Gaussian random walk [18]. Similar to [22]- [24] and the references therein, both nanomachines are assumed to be synchronized in time. The channel is divided into time slots of duration T as shown in Fig.…”

“…. Further, it can be noted that S[j] and I[k], k = 1, 2, · · · , j − 1 are mutually independent since the molecules transmitted in different time slots do not interfere with each other [23], [24].…”

Impact of Cooperation in Flow-Induced Diffusive Mobile Molecular Communication

“…The ISI I rd [j + 1] at the DN at slot j+1 arises due to the transmission of previous j − 1 slots, given as I rd [j + 1] = j i=2 I rd [i], where I rd [i] follows a Binomial distribution. The noise N rd [j + 1], the number of molecules S rd [j + 1], I rd [j + 1] received from the intended TN are independent[10],[15],[16]. Further, for sufficiently large number of molecules released by the CN, the Binomial PDFs S rd [j + 1] and I rd [i] can be approximated by the Gaussian PDFs as S rd…”