In this letter, a new general composite fading model, namely $\alpha $ - $\eta $ - $\kappa $ - $\mathcal {F}$ model, is proposed. It considers most of the well-known propagation phenomena in wireless fading channels, such as shadowing, multi-path fading, non-linearity of the propagation medium, power of the dominant components, and power of the scattered waves. Additionally, most of the important statistical fading models are included in the $\alpha $ - $\eta $ - $\kappa $ - $\mathcal {F}$ model as special cases. The envelope probability density function (PDF) and cumulative distribution function (CDF) are derived and then employed to derive the PDF and CDF of the instantaneous signal-to-noise ratio. The performance of a wireless communication system operating under the $\alpha $ - $\eta $ - $\kappa $ - $\mathcal {F}$ composite model is evaluated in terms of outage probability and symbol error rate. Numerical results are supported by Monte-Carlo simulations to validate the analysis.

中文翻译：

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α-η-κ-F 复合衰落分布

在这封信中，一个新的通用复合衰落模型，即 $\alpha $ —— $\eta $ —— $\kappa $ —— $\mathcal {F}$ 模型，建议。它考虑了无线衰落信道中大多数众所周知的传播现象，例如阴影、多径衰落、传播介质的非线性、主要成分的功率和散射波的功率。此外，大多数重要的统计衰落模型都包含在 $\alpha $ —— $\eta $ —— $\kappa $ —— $\mathcal {F}$ 模型作为特殊情况。导出包络概率密度函数（PDF）和累积分布函数（CDF），然后用于导出瞬时信噪比的PDF和CDF。无线通信系统的性能 $\alpha $ —— $\eta $ —— $\kappa $ —— $\mathcal {F}$ 根据中断概率和符号错误率评估复合模型。数值结果得到蒙特卡罗模拟的支持，以验证分析。