RAP-MAC Performance Optimization with Statistical PRN Guarantees

This chapter presents an unprecedented treatment of the conventional CRN performance optimization problem that takes into account the practical limitations of today’s technologies. We analytically derive the optimal values of the parameters of the RAP-MAC protocol. More specifically, we find the values of the probabilities p and q as well as the maximum secondary transmission rates and powers that maximize the average rate of a secondary user while providing statistical guarantees on the performance of the PRNs. We formulate such a problem as a mixed integer non-linear program. The solution of such an optimization problem is NP hard. We present an exhaustive study of the impact of different factors, such as the PRN outage constraints and activity factors, on the solution of the problem and hence the achievable CRN user rate.

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