Analysis of asynchronous frequency hopping multiple-access network performance based on the frequency hopping sequences

In this study, the authors investigate the impact of the frequency-hopping (FH) sequence on the packet transmission performance of the asynchronous frequency-hopping multiple-access (FHMA) network. According to the model of the asynchronous FHMA network given in this study, the authors analyse the impact of the two important FH sequence factors - uniformity and frequency slot number - on the correct transmission probability and the packet transmission frequency efficiency. According to the non-collision probability analysed in this study, the uniformity of the FH sequence is an important issue to determine the correct packet transmission probability. Moreover, based on the definition of the packet transmission frequency efficiency given in this study, the optimal frequency slot number employed to obtain the maximum frequency efficiency is obtained. By employing three typical FH sequences, the simulation results are also included, which validates the theoretical analysis about the packet transmission performance of the asynchronous FHMA network.