Wireless Secrecy Under Multivariate Correlated Nakagami-<italic>m</italic> Fading

Abstract

Current wireless secrecy research in the literature has mainly been performed for one wiretapper under correlated fading. In this paper, a new wireless secrecy framework for multiple wiretappers under multivariate exponentially-correlated (exp.c.) Nakagami-m fading is proposed. Using the distribution of multivariate exp.c. Nakagami-m fading, new, exact, and compact expressions for the ergodic secrecy capacity, and secrecy outage probability (SOP) under multiple wiretappers are obtained for an integer fading parameter m. A secrecy analysis is also performed for the first time in this paper using an adaptive on/off transmission encoder under multivariate exp.c. Nakagami-m fading. A secrecy analysis with three wiretappers under quadrivariate exp.c. Nakagami-m fading is also given, which shows the effectiveness of the new framework. Simulation results are shown to exactly match theoretical predictions.

Keywords

• Physical layer security
• m fading%22%2C%22default_operator%22%3A%22AND%22%7D%7D%7D"> multivariate correlated Nakagami-<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">m</italic> fading
• wiretapping channels