Abstract
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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Notes
- 1.
We do not incorporate the ramp up from R 1 to R max − 1. While such assumption slightly impact the achievable rate of a SU, it does not affect our optimization problem as the outage constraints depend only on the maximum used rate.
- 2.
In multiuser scenarios, RAP-MAC uses lower powers/rates. The interference caused by multiple weak sources has negligible impact (almost as Additive White Gaussian Noise (AWGN)) on ongoing transmissions compared to the interference from a single high power/rate source [12, 14]. Hence, (6.19) also covers the multiuser case.
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Khattab, A., Perkins, D., Bayoumi, M. (2013). RAP-MAC Performance Optimization with Statistical PRN Guarantees. In: Cognitive Radio Networks. Analog Circuits and Signal Processing. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4033-8_6
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DOI: https://doi.org/10.1007/978-1-4614-4033-8_6
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