Evaluation of outage probability for uniformly distributed users based on signal-to-interference-plus-noise ratio

Improving the performance of wireless networks to maintain good quality of service for all users is always an ultimate goal. To reach this goal, the performance should be evaluated accurately and then analysed. Geometric modelling of wireless networks is drawing significant attention with regard to analytically evaluating the performance. In this study, stochastic modelling of users is used to emulate their distribution in wireless networks, which is analysed when only one direct link is connecting the base station to each user over the cell. Hence, the final findings will be more universal and applicable for different types of mobile cellular networks. Probability density function (PDF) of signal-to-interference ratio, and signal-to-noise ratio are evaluated, and used to find the PDF of signal-to-interference-plus-noise ratio (SINR) in a uniform filed of interference. Then, the outage probability based on SINR is evaluated, since it is one of the important factors in studying the performance of wireless networks. Finally, simulations are performed in order to validate the analytical results.