IEEE Transactions on Antennas and Propagation ( IF 4.435 ) Pub Date : 2019-09-06 , DOI: 10.1109/tap.2019.2938736
Carlos Rafael Nogueira da Silva; Gustavo Rodrigues de Lima Tejerina; Michel Daoud Yacoub

A number of new results aiming at facilitating the use of the $\alpha$ - $\eta$ - $\kappa$ - $\mu$ fading model are presented. These results include: 1) fast convergent, with no recursions, series representations for the envelope probability density function (PDF) and cumulative distribution function (CDF); 2) higher order moments of the envelope; 3) moment generating function (MGF) of the envelope; 4) asymptotic behavior of the envelope PDF and also of the envelope CDF; 5) a procedure for parameter estimation; 6) new closed-form expressions for particular cases of the envelope distribution; 7) new mathematical identity for the generalized Laguerre polynomial and the generalized hypergeometric function; and 8) approximate, but tight, series representation for the phase PDF. As application examples, the following are given: 1) outage probability; 2) outage capacity; 3) amount of fading; and 4) bit error rate, for which the asymptotic behavior is also presented.

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