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.
Highlights
Wireless secrecy has been one of the most popular research topics in recent years
Notation: The symbol p ≥ 1 is the number of correlated wiretap channels, the number of branches is n = p + 1, λ1 is the average signal-to-noise ratio (SNR) in the main channel whereas λ2, . . . , λn are zp, the average SNRs in w=
The pdf of n exp.c. correlated Nakagami-m fading is employed for the proposed secrecy analysis; 8) If the number of responded wiretappers remains zero, the base wiretapper (BR) may decide to eavesdrop into the main transmission channel by itself
Summary
Wireless secrecy has been one of the most popular research topics in recent years. Starting from the wiretap model proposed in [1], secrecy research has included mathematical modelling of channel correlation, system coherence [2], and end-to-end system performance [3]. With the ever increasing demand for smart mobile devices over ultra-dense wireless networks, multiple correlated wiretappers targeting one Destination practically appears possible; (ii) the availability of the distribution of multivariate exp.c. Nakagami-m fading given in [30, Eq (3)] for physical layer security (PLS); and (iii) Even though analyses under two correlated Rayleigh channels have been given in [2], those under multiple correlated Nakagami-m branches are not yet available in the literature. The modelling of p wiretappers, single-antenna Source, and Destination resembles the SISOME (single-input-Source-single-outputDestination-multiple-eavesdropper) outlined in [32], except that the proposed analyses are valid under multivariate exp.c. Nakagami-m fading, which is the most advanced in the existing literature, and generalising other findings reported in [2], [31]. Results under the encoder deployment are reported for multiple wiretappers, which generalise findings reported in [31] for integer m
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