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Mediterranean Microwave Symposium

Secrecy capacity of a Nakagami-m fading channel in the presence of cooperative eavesdroppers

Souad Belmoubarik, Ghassane Aniba, Belhaj Elgraini

Published Dec 1, 2014• 8 citations
Publisher

Abstract

Physical layer security helps enormously cryptography to improve the confidentiality of communications over wireless networks. Indeed, the secrecy capacity is used at the physical layer to ensure not only the security of communications but also to exploit efficiently the channel capacity. The principle of secrecy capacity is to characterize the maximum data transmission rate, that can be reached while the exchanged information is kept secret from a malicious entity. In this paper, we present a closed-form expression of outage probability and we specify the outage secrecy capacity of a Nakagami-m fading channel in the presence of cooperative correlated eavesdroppers performing the maximal ratio combining which helps the eavesdroppers to tap the maximum of the exchanged information between the transmitter and the legitimate receiver. Simulations results show that a raise in the number of the cooperative eavesdroppers degrades significantly the secrecy capacity of this communication system, moreover the correlation degree between the eavesdroppers has a negative impact on the communication confidentiality especially when it takes small values.

DOI
10.1109/mms.2014.7088983

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•Mar 1, 2014•0 citations
Physical layer security helps enormously cryptography to improve the confidentiality of communications over wireless networks. Indeed, the secrecy capacity is used at the physical layer to ensure not only the security of communications but also to exploit efficiently the channel capacity. The principle of secrecy capacity is to characterize the maximum data transmission rate, that can be reached while the exchanged information is kept secret from a malicious entity. In this paper, we present a closed-form expression of outage probability and we specify the outage secrecy capacity of a Nakagami-m fading channel in the presence of cooperative correlated eavesdroppers performing the maximal ratio combining which helps the eavesdroppers to tap the maximum of the exchanged information between the transmitter and the legitimate receiver. Simulations results show that a raise in the number of the cooperative eavesdroppers degrades significantly the secrecy capacity of this communication system, moreover the correlation degree between the eavesdroppers has a negative impact on the communication confidentiality especially when it takes small values.
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.
The wiretap channel model in a wireless scenario is analyzed where there is a transmitter, multiple legitimate receivers, non-colluding and colluding eavesdroppers; each of them is equipped with one antenna. Furthermore, all the channels are mutually independent and experiencing quasi-static Nakagami-m fading. We derive closed-form expressions for the exact secrecy outage probability as well as the average secrecy capacity with both non-colluding and colluding eavesdroppers. Such performance metrics are used to analyze the impacts of the number of receivers and eavesdroppers on the system. Remarkably, our results reveal that, for non-colluding eavesdroppers, increasing the number of users will cause greater secrecy degradation than the number of eavesdroppers, especially when the main channel is far superior to the wiretap channel or the value of the fading parameter is high. And for the colluding case, it turns out to be the opposite.
In the group-oriented applications such as military and commercial wireless cellular networks often require the same data to be conveyed to multiple users simultaneously. This technique is usually referred to as physical layer multicasting. In this paper, we consider the problem of secret communication over Nakagami-m fading multiple-input single-output (MISO) channel, where a single transmitter sends a common and confidential message to a group of receivers in the presence of an eavesdropper. We are interested in protecting this message from eavesdropping. At first, we define the secrecy multicast capacity for a K-receiver multicast channel at which the eavesdropper is unable to decode any information from the multicast channels and find the analytical expression for the lower bound of average secrecy multicast capacity. Then, we define the secrecy multicast capacity in terms of secure outage probability, and find the analytical expressions for the probability of non-zero secrecy multicast capacity and secure outage probability to study the outage behavior of the proposed model.
The impact of antenna correlation on secrecy performance in wireless communication networks is analyzed. This network consists of a signal antenna at the source, while receiver and eavesdropper are both equipped with multiple antennas, which are correlated in space. We employ maximal-ratio combining (MRC) scheme at the receiver and eavesdropper to combine the received signals. We assume that the main channel and the eavesdropper's channel undergo Nakagami-m fading with the fading parameters mB and mE, respectively. In this paper, we derive new closed-form expressions for the exact secrecy outage probability and the probability of positive secrecy. To verify the analytical results, we provide Monte Carlo simulations at the end.
The inherent openness of wireless medium makes information security one of the most important and difficult problems in wireless networks.Physical layer security, which achieves the information-theoretic security by exploiting the differences between the physical properties of signal channels such that a degraded signal at an eavesdropper is always ensured and thus the original data can be hardly recovered regardless of how the signal is processed at the eavesdropper, has been studied as a promising approach to providing a strong form of security.By now, many research works have been devoted to understand the fundamental performance limits of physical layer security under different wire-tap channel models.It is notable that among different wire-tap channel models, the fading channel model has been an important model to efficiently capture the basic time-varying properties of wireless channels.Available works related to physical layer security study of the fading wire-tap channel are mainly based on the assumption that the channel from a transmitter to a legitimate receiver is independent of the one from the transmitter to an eavesdropper.In practice, however, the correlation among channels from a transmitter to different receivers has been frequently observed.Therefore, understanding the performance of physical layer security under the more practical correlated fading channels is of great importance for practical applications of physical layer security in wireless networks.In this thesis, we aim to provide a comprehensive study on the fundamental performance limits of physical layer security under a fading wire-tap channel, where the channel from transmitter to legitimate receiver is correlated with the one from transmitter to eavesdropper.We start the study from the scenario when the transmission power is asymptotically infinite.In particular, we first provide an informationtheoretic formulation of secure transmission over wireless fading channels at one realization of coherence interval in the high transmission power regime and show that the secrecy capacity is limited by the channel gain ratio of the main and eavesdropper channels rather than the transmission power, which is different from the Shannon's capacity that increases with transmission power.We next characterize the asymptotic outage probability and also asymptotic outage secrecy capacity for the correlated fading wire-tap channel as the transmission power goes to infinity.We then analyze the performance of physical layer security under correlated fading wire-tap channel with a limited transmission power, a more complicate scenario compared with the one with asymptotic-infinite power.Specifically, we provide theoretical modeling for the secrecy capacity, transmission outage probability and secrecy outage probability of such systems.In particular, we first derive a simple closedform expression of secrecy capacity based on the typical Marcum Q function.This is achieved by exploring the symmetry property between the main channel and eavesdropper channel such that some complicated integration operations involved in the secrecy capacity analysis can be significantly simplified.We then derive the transmission outage probability and secrecy outage probability to depict the reliability and security performances of the concerned wire-tap channel.Finally, extensive numerical results are provided to illustrate the inherent performance tradeoffs under i I am truly and deeply indebted to so many people that there is no way to acknowledge them all, or even any of them properly.Without their support, help and encouragement, this work would not and could not haven been done.I extend my deepest gratitude to all.