Secrecy Characteristics With Assistance of Mixture Gamma Distribution

• Published in: IEEE wireless communications letters Vol. 8; no. 4; pp. 1086 - 1089
• Main Authors: Kong, Long, Kaddoum, Georges
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 01.08.2019; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Capacity planning; Channels; Communication system security; Computer simulation; Fading channels; Measurement; Meijer’s <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">G -function; mixture gamma (MG) distribution; Monte Carlo simulation; Physical layer security (PLS); Probability distribution functions; Security; Signal to noise ratio; Statistical analysis; Wireless communication; Wiretapping
• ISSN: 2162-2337; 2162-2345
• DOI: 10.1109/LWC.2019.2907083

Considering the fact that the mixture gamma (MG) distribution is a general model that can be used to elaborate most well-known distributions, including small-scale, large-scale, and composite fadings, this letter studies the security issue when the received signal-to-noise ratios (SNRs) follow MG distributions. Closed-form expressions for secrecy metrics including the secrecy outage probability (SOP), the probability of non-zero secrecy capacity (PNZ), and the average secrecy capacity (ASC), are derived. Monte-Carlo simulations are presented to corroborate the accuracy of our derived results. Our derived secrecy metrics provide a general and unified analysis framework for the quick evaluation of the secrecy issue over wireless channels, even when the main channel and wiretap channel are subject to different wireless channels.