A Model of Random Multiple Access in Unlicensed Spectrum Systems

We consider classical multiple access system with a single transmission channel, finite number of users (users) and randomised transmission protocol (ALOHA). We assume that every user sends messages to the base station with various intensities. Due to the overlapping of messages during their sending there are restrictions on the time between the messages and a mathematical model adequate to the physical one becomes quite complicated. In this work we propose a simplified mathematical model that is easy to analyze and takes into account the properties of real systems.