Abstract
This letter proposes an analytical framework to assess the network performance of a wireless network adopting statistical priority-based multiple access (SPMA) scheme with nodes equipping with directional antennas. By taking into account the spatial randomness of nodes and the impact of directional antenna, we first derive the analytical expressions of medium access probability (MAP), burst success probability, and packet success probability with tools from stochastic geometry. We then verify the correctness of the analytical framework by adopting three typical directional antenna models. By comparing with the scenario where nodes are equipped with omnidirectional antennas, we show the superiority of the directional antennas in limiting the aggregated network interference and enhancing the packet success probability.