Secrecy Capacity Analysis Over κ–μ Fading Channels: Theory and Applications

Nidhi Bhargav, Simon L. Cotton, David E. Simmons

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Abstract

In this paper, we consider the transmission of confidential information over a κ-μ fading channel in the presence of an eavesdropper who also experiences κ-μ fading. In particular, we obtain novel analytical solutions for the probability of strictly positive secrecy capacity (SPSC) and a lower bound of secure outage probability (SOPL) for independent and non-identically distributed channel coefficients without parameter constraints. We also provide a closed-form expression for the probability of SPSC when the μ parameter is assumed to take positive integer values. Monte-Carlo simulations are performed to verify the derived results. The versatility of the κ-μ fading model means that the results presented in this paper can be used to determine the probability of SPSC and SOPL for a large number of other fading scenarios, such as Rayleigh, Rice (Nakagamin), Nakagami-m, One-Sided Gaussian, and mixtures of these common fading models. In addition, due to the duality of the analysis of secrecy capacity and co-channel interference (CCI), the results presented here will have immediate applicability in the analysis of outage probability in wireless systems affected by CCI and background noise (BN). To demonstrate the efficacy of the novel formulations proposed here, we use the derived equations to provide a useful insight into the probability of SPSC and SOPL for a range of emerging wireless applications, such as cellular device-to-device, peer-to-peer, vehicle-to-vehicle, and body centric communications using data obtained from real channel measurements.
Original languageEnglish
Pages (from-to)3011-3024
Number of pages11
JournalIEEE Transactions on Communications
Volume64
Issue number7
Early online date10 May 2016
DOIs
Publication statusPublished - 12 Jul 2016

Keywords

  • Monte Carlo methods;channel capacity;cochannel interference;fading channels;probability;telecommunication security;κ-μ fading channels;CCI;Monte-Carlo simulations;Nakagami-m fading channel;Rayleigh fading channel;Rice fading channel;SOPL;SPSC;background noise;closed-form expression;cochannel interference;confidential information transmission;independent-nonidentically distributed channel coefficients;lower bound;one-sided Gaussian fading channel;secrecy capacity analysis;secure outage probability;strictly positive secrecy capacity probability;wireless systems;Capacity planning;Communication system security;Numerical models;Rayleigh channels;Wireless communication;Wireless sensor networks;$kappa -mu$ fading;Body centric communications;co-channel interference;device-to-device communications;fading channels;secrecy capacity;vehicular communications

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