  The presented research proposes the $\alpha$-modification of the Beaulieu-Xie
shadowed fading channel for wireless communications. For the assumed model the
closed-form analytical description of the basic statistical characteristics is
carried out (i.e., probability density function, cumulative distribution
function, and their asymptotics). The derived statistical description is
exemplified on the problems of the average bit error rate and ergodic capacity
calculation, for which the exact analytic and high signal-to-noise ratio
asymptotic expressions are derived. The performed extensive numerical analysis
demonstrates high correspondence with the analytical work and helps to study
the dependence of the channel nonlinearity effects on the bit error
probability.
