Secrecy Performance Analysis of SIMO Systems Over Correlated $\kappa$ –$\mu$ Shadowed Fading Channels

Jiangfeng Sun,Xingwang Li,Khaled M Rabie,Jiayi Zhang,Hongxia Bie,Gaofeng Pan

doi:10.1109/access.2019.2924950

Abstract

In this paper, the secrecy performance of single-input–multiple-output systems over correlated $\kappa $ - $\mu $ shadowed fading channels is investigated. In particular, based on the classic Wyner’s wiretap model, we derive analytical expressions for secure outage probability (SOP) and the probability of strictly positive secrecy capacity (SPSC) over correlated $\kappa $ - $\mu $ shadowed fading channels. In order to further study the impact of channel parameters on the secrecy performance, novel SOP and the probability of SPSC over independent and identically distributed $\kappa $ - $\mu $ shadowed fading channels are also obtained. In addition, we discuss the asymptotic expressions of the SOP and the SPSC. The match between the analytical results and simulations is excellent for all parameters under considerations. It is interesting to find that the results show that when the signal-to-noise ratio of the main channel is lower than that of the eavesdropping channel, the larger value of correlation coefficient is helpful to improve the secrecy performance and vice versa.

Highlights

Security is an important measure of wireless communication quality, which represents the resistance of future communication systems to human destructions and threats [1]
According to the open system interconnection reference model, the information security technology in the traditional wireless communication system mainly focuses on the network layer and the upper layers, it is assumed that the physical layer has provided the error free transmission
Where x is the confidential signal transmitted from S, hi ∈ CNt ×1 represents the single-input multiple-output (SIMO) κ-μ shadowed fading vector between the sender and the multi-antenna receiver, the symbol C denotes a set of complex numbers, yi ∈ CNt ×1 is the received signal vector, i ∈ {D, E} represents the main channel or the eavesdropper channel, and n ∼ CN (0, σ 2) is a complex Gaussian vector with zero mean value and fixed standard deviation σ

Summary

INTRODUCTION

Security is an important measure of wireless communication quality, which represents the resistance of future communication systems to human destructions and threats [1]. To the best of the authors’ knowledge, there is no work in the open literature that investigated the performance of PLS on the correlated κ-μ shadowed fading channels To compensate for this gap, we dedicate this paper to study the security performance for κ-μ shadowed fading channels based on two scenarios, namely, correlation and i.i.d. The main contribution of this work resides in deriving closed-form analytical expressions of both SOP and SPSC over correlated and i.i.d. SIMO κ-μ. Where x is the confidential signal transmitted from S, hi ∈ CNt ×1 represents the SIMO κ-μ shadowed fading vector between the sender and the multi-antenna receiver, the symbol C denotes a set of complex numbers, yi ∈ CNt ×1 is the received signal vector, i ∈ {D, E} represents the main channel or the eavesdropper channel, and n ∼ CN (0, σ 2) is a complex Gaussian vector with zero mean value and fixed standard deviation σ

STATISTICAL CHARACTERISTICS OF THE

SOP ANALYSIS Theorem 3

SPSC ANALYSIS Theorem 4

NUMERICAL RESULTS

CONCLUSION