Aproximações para Somas de Envoltórias Nakagami- m e α -μ via Casamento de Assíntotas

In this work, we introduce a new method for approximating the probability density function of sums of positive random variables. In addition, as important application examples in wireless communications, we specialize the new method to sums of Nakagami- m and α - μ envelopes. In the proposed approach, the parameters of the approximate distribution are calibrated by matching its asymptotic behavior to that of the exact sum distribution. As a result, the new method is strikingly accurate at medium to high signal-to-noise ratio, outperforming existing solutions in the literature.