Self-optimization of Random Access Channel in 3GPP LTE

In this paper, a mathematical framework for the Random Access Channel (RACH) modeling in Long-Term Evaluation (LTE) technology is presented on the basis of probability theory and statistics. The framework is exemplified by basic investigations on the self-optimization of RACH resource unit allocation and preamble split. Evaluations are performed by modeling a stochastic process in which outputs of a dynamic LTE network simulator are taken as inputs.