On the Probability of Discovery for Proximity Services and Vehicular Communications

In this letter, we study neighbor discovery in the 5G network exploiting reference signals on which a correlation-based metric is applied. Statistical analysis is first performed to determine the distribution of the discovery metric. Then, the discovery probability is derived in its closed-form for a single-user scenario. The comparison of the theoretical result with simulation shows a perfect match. Furthermore, a multiuser scenario is considered to assess the impact of interference on the discovery probability in the case of the vehicular channel model through simulations. The complexity of the approach is also studied to optimize its load computational load.