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.

翻译：本研究提出适用于无线通信的Beaulieu-Xie阴影衰落信道的$\alpha$修正模型。针对所假设模型，完成了基本统计特性的闭式解析描述（即概率密度函数、累积分布函数及其渐近特性）。通过平均误码率和遍历容量计算问题对所推导的统计描述进行实例化，并推导出精确解析表达式及高信噪比渐近表达式。广泛的数值分析验证了与解析结果的高度一致性，并有助于研究信道非线性效应对误码概率的影响。