Issaid, Chaouki Ben, Mohamed-Slim Alouini, and Raul Tempone. "On the Fast and Precise Evaluation of the Outage Probability of Diversity Receivers Over α−μ , κ−μ , and η−μ Fading Channels." IEEE Transactions on Wireless Communications 17, no. 2 (2018): 1255-1268.
Issaid, Chaouki Ben, Mohamed-Slim Alouini, And Raul Tempone
—α−μ, κ−μ, η−μ, importance sampling, Monte Carlo, bounded relative error, outage probability, diversity techniques.
In this paper, we are interested in determining the cumulative distribution function of the sum of α - μ, κ - μ, and η - μ random variables in the setting of rare event simulations. To this end, we present a simple and efficient importance sampling approach. The main result of this work is the bounded relative error property of the proposed estimators. Capitalizing on this result, we accurately estimate the outage probability of multibranch maximum ratio combining and equal gain diversity receivers over α - μ, κ - μ, and η - μ fading channels. Selected numerical simulations are discussed to show the robustness of our estimators compared with naive Monte Carlo estimators.