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IEEE Access

Wireless Secrecy Under Multivariate Correlated Nakagami-m Fading

Khoa N. Le, Vivian W.Y. Tam

Published Jan 1, 2020• 5 citations
Publisher

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.

DOI
10.1109/access.2020.2964009

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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.
Secrecy Analyses for Real mmm Under Dual Correlated Nakagami- mmm Fading Employing an Adaptive Encoder and a New Broadcasting Protocol
Using a well-known wire-tap model, novel wireless secrecy analyses under dual correlated Nakagami-m fading with a real fading parameter m are reported. Infinite summations for incomplete gamma functions are employed to derive compact expressions for secrecy capacity and secrecy outage probability (SOP) under noninteger m. Independently, using finite summations, corresponding closed-form findings for integer m are also derived. In the current literature, finite summations for the incomplete gamma functions, whose first arguments and hence m must be an integer, are employed to obtain closed-form expressions for, first, the SOP (with an unknown passive wire-tapper's channel state information), and second, ergodic secrecy capacity (with partially known active wire-tapper's channel state information under slow fading). The new secrecy results for noninteger m generalize the proposed findings for integer m, and existing findings under dual correlated Rayleigh fading for m = 1. The new findings can thus be comprehensively employed for wireless secrecy computation under dual correlated Nakagami-m fading for realm. Infinite-summation convergence and cross verification are also obtained for a finite number of terms, which shows the practicality and consistency of the new findings. For the first time, secrecy analyses employing an adaptive encoder with ON/OFF transmission are performed under dual correlated Nakagami-m fading for real m to not only improve wireless secrecy, but also achieve the eventual successful transmission from a source to a destination. The new SOP results for real m can be employed as lower bounds and complete theoretical secrecy analyses, for SOP under dual correlated Nakagami-m fading with integer m. Simulation results are employed to show matching between the proposed findings and existing findings.
Wireless secrecy under dual correlated Rician fading environments is theoretically studied for correlated source-destination and source-wiretapper channels. Without considering wiretapper active jamming capability, expressions for: 1) the ergodic secrecy capacity when the wiretapper is active and 2) secrecy outage probability when the wiretapper is passive are obtained. To further improve system security, new secrecy analyses employing an adaptive encoder with ON/OFF transmission are also given. The new findings exactly reduce to existing findings under dual correlated Rayleigh fading and advance theoretical developments for wireless secrecy under dual correlated Rician fading. Monte Carlo simulation results are given, which match theoretical predictions. Under wireless secrecy context, the disadvantage of line-of-sight (LoS) power and channel correlation is evidently shown, revealing the non-usefulness of LoS power and establishing a tradeoff between the transmission security and the transmission success. Benefits of a high-average transmit signal-to-noise ratio are discussed.
This paper is concerned with the transmission of confidential message through Nakagami-m fading wireless channel in the presence of multiple eavesdroppers. The eavesdroppers are mutually independent and the information is secure if it cannot be eavesdropped by any eavesdropper. Considering the problem of secret communications between two nodes over Nakagami-m fading channel where a number of eavesdroppers observes their transmissions through other Nakagami-m fading channels, we characterize the probability of non-zero secrecy capacity and secure outage probability to investigate the secrecy capacity in terms of secure outage probability. We also present a formulation of the ergodic secrecy capacity in the presence of multiple eavesdroppers.
This paper investigates the effect of exponential antenna correlation on the secrecy performance of Nakagami-m fading correlated channels in the presence of an eavesdropper. Diversity combining techniques are imposed to reduce the effect of that exponential correlation. The closed-form analytical expressions (CFAEs) for the ergodic secrecy capacity (EGC), probability of non-zero secrecy capacity (PNZSC) and the secure outage probability(SOP) are derived to facilitate the investigation clearly. Our results show that the effect of exponential antenna correlation in Nakagami-m fading channel significantly affects the security. But the antenna diversity is the best solution to reduce that effect maintaining a tradeoff between the number of antennas and the intensity of correlation. Finally, the validity of analytical expressions are checked via Monte-Carlo simulations.
In this paper, we consider the problem of transmission of sensitive message in wireless multicast cellular network through identically distributed Nakagami-m fading multiple-input multiple-output (MIMO) channels considering the existence of multiple eavesdroppers. It is assumed that the antennas in the destinations and eavesdroppers are exponentially correlated. Considering channel state information (CSI) at the receiver, the closed-form analytical expressions for the ergodic secrecy multicast capacity (ESMC) and the probability of non zero secrecy multicast capacity (PNSMC) have been derived to investigate the effect of correlation and fading parameter on the proposed model. Numerical results of the derived analytical expressions are presented and demonstrated using Monte-Carlo simulation.
Under dual correlated Rician fading and unknown wiretapper's channel state information, secrecy outage probability (SOP) is theoretically studied for the first time in this paper. The signal-to-noise ratio probability density function of bivariate correlated Rician fading is derived. Using an infinite-summation form for the modified Bessel functions of the first kind, compact expressions for the SOP are obtained. The new findings generalise the current findings under dual correlated Rayleigh fading, and advance theoretical developments for wireless secrecy under correlated fading. Simulation results are given, which are shown to match theoretical prediction. Detailed discussions are also given.