Secrecy Analysis of α-Beaulieu-Xie Fading Channel Under Selection Combining Diversity

Petahertz (PHz) communication technology is envisioned to provide an enormously high data rate with true sense global coverage ranging from air to underwater deployment. However, both line-of-sight (LOS) and non-LOS (NLOS) components are needed to characterize the fading channels of the PHz communication system. Recently, the proposed α-Beaulieu-Xie fading distribution, with α as a modified parameter, appropriately characterizes wireless channels with multiple LOS and NLOS components simultaneously. In addition, α-Beaulieu-Xie distribution exhibits a high degree of trade-off between mathematical tractability and match with experimental data. This research presents various measures of physical layer security over α-Beaulieu-Xie fading channel under the Selection Combining (SC) diversity scheme. In particular, analytical expressions for Secrecy Outage Probability (SOP)(P_γ(γ)|_Out−SC), Probability of Non-Zero Secrecy Capacity (P_nz−SC), and Average Secrecy Capacity (C_SAv−SC) are derived over α-Beaulieu-Xie fading channel under the SC diversity scheme. Further, asymptotic expressions for respective secrecy measures are presented as (P_Out−SC(γ)|_AympR(s), P_nz−SC|_Aymp, and (C_SAv−SC|_Aymp). Furthermore, the effect of various physical parameters, such as the overall severity parameter of both LOS and NLOS (m_X), the severity parameter of LoS (m_Y), and the fading parameter (α) on the presented secrecy measures, is quantified numerically. Numerical quantification reveals that the decrease in the value of (P_γ(γ)|_Out−SC) with an increase in the value of α is proportional to the value of α for a lower regime of γ only. Whereas a decrease in the value of m_x with an increase in the value of α reflects that the value of (P_γ(γ)|_Out−SC) depends more dominantly on m_x than that of α. In addition, it is noticeable that an increase in either m_x or α increases the value of C_SAv−SC. However, an increase in the value of m_x and α by the same amount, say 0.2, results in a higher increase in the value of C_SAv−SC with an increase in the value of m_x than that of an increase in the value of α. In addition, each analytical expression is quantified numerically with respect to the respective asymptotic expressions.