Optimizing the UE Transmission Probability for D2D Direct Discovery

Abstract

We model Mode 2 direct discovery in Device-to- Device (D2D) Long Term Evolution (LTE) networks and derive the optimal value of the discovery message transmission probability that minimizes the mean number of periods required for a successful discovery message transmission. We use Monte Carlo simulations to validate our analytical results and to show that optimizing the transmission probability produces nearly optimal performance with respect to the time required for all members of a group of User Equipments (UEs) to discover each other.