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Erschienen in: Wireless Personal Communications 3/2016

01.02.2016

Physical Layer Security with Maximal Ratio Combining over Heterogeneous \(\kappa {-}\mu \) and \(\eta {-}\mu \) Fading Channels

verfasst von: Yang Gao, Jianhua Ge, Hongwei Gao

Erschienen in: Wireless Personal Communications | Ausgabe 3/2016

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Abstract

This paper investigates physical layer security of maximal ratio combining (MRC) in a heterogeneous fading environment, where the legitimate channel and the wiretap channel are modeled as \(\kappa {-}\mu \) and \(\eta {-}\mu \) fading distributions, respectively. The legitimate receiver adopts MRC to maximize the probability of secure transmission, whereas the eavesdropper adopts MRC to maximize the probability of successful eavesdropping. If the eavesdropper’s channel state information (CSI) is available at the transmitter, the exact and asymptotic expressions of the average secrecy capacity are derived as the security performance metrics. While, if the eavesdropper’s CSI is not available at the transmitter, the exact and asymptotic expressions of the secrecy outage probability are derived as the security performance metrics. In both of the two cases, the impact of the number of antennas as well as the channel fading parameters on the the secrecy performance is further analyzed. Finally, the simulation results are given to verify the validity of the theoretical analysis.

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Fußnoten
1
For the \({\kappa }{-}{{\mu }_{B}}\) distribution, the parameter \(\kappa \) is the ratio of the total power of the dominant components to the total power of the scattered waves, and \(\mu _B\) is the number of multipath clusters.
 
2
For the \({\eta }-{{\mu }_{E}}\) distribution, the parameter \({\eta }\) is defined under two formats: In format I, the in-phase and quadrature phase components of the fading signal within each cluster are assumed to be independent of each other and have different average powers. The parameter \(\eta \in \left( 0,\infty \right) \) is the ratio of these powers. In format II, the in-phase and quadrature phase components within each cluster are assumed to be correlated and have identical powers. The parameter \(\eta \in \left( -1,1 \right) \) is the correlation coefficient between these components. In both the formats, the parameter \(\mu _E\) denotes the number of multipath clusters.
 
3
For the physical \({\eta }{-}{\mu _E}\) channel, parameter \({\mu _E}\) can also take half-integer values. In the context of this paper, however, only the case of integer \({\mu _E}\) is considered.
 
4
In format I, \(h=\left( 2+{{\eta }^{-1}}+\eta \right) /4\) and \(H=\left( {{\eta }^{-1}}-\eta \right) /4\). In format II, \(h=1/\left( 1-{{\eta }^{2}} \right) \) and \(H=\eta /\left( 1-{{\eta }^{2}} \right) \). According to [14], format I can be converted into format II using a simple bilinear transformation. Therefore, without loss of generality, we only consider format I in this paper.
 
5
Since \({{\bar{\gamma }}_{E}}\rightarrow \infty \), the probability of successful eavesdropping approaches one. As such, we shall not consider \({{\bar{\gamma }}_{E}}\rightarrow \infty \).
 
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Metadaten
Titel
Physical Layer Security with Maximal Ratio Combining over Heterogeneous and Fading Channels
verfasst von
Yang Gao
Jianhua Ge
Hongwei Gao
Publikationsdatum
01.02.2016
Verlag
Springer US
Erschienen in
Wireless Personal Communications / Ausgabe 3/2016
Print ISSN: 0929-6212
Elektronische ISSN: 1572-834X
DOI
https://doi.org/10.1007/s11277-015-2996-8

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