On the Optimal Threshold and Error Performance at Fusion Center for Diffusion-Based Molecular Communication System

Abstract

In this paper, an analysis regarding the calculation of the threshold value and error performance of the received secondary biomarkers (Type-C molecules) at the Fusion Center (FC) in the diffusion-based molecular communication is undertaken. For this, the likelihood ratio test (LRT) has been employed for the optimal threshold value calculation at the FC. The LRT uses binary hypothesis for building substantial ground for the hard decision at the FC wherein the hypothesis H1 corresponds to Type-C information molecules showing Log-normal distribution whereas hypothesis H0 represents noise molecules showing Normal distribution. The plot for the optimal threshold for different time instants is also illustrated. Based on the hypothesis testing, we obtain a plot regarding the decision rule. Using, threshold analysis we then calculate the expressions for the probability of false alarm and probability of detection. Further, we calculate the error probability of the system. Numerical results show that the error probability decreases with increasing threshold values, which improves the system’s performance. © 2021 IEEE.