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IEEE Globecom Workshops (GC Wkshps)

Secrecy broadcast transmission capacity for heterogeneous correlated wireless ad hoc networks

Xiaohui Sun, Changchuan Yin, Yang Liu, Jing Bo Gao

Published Dec 1, 2012• 2 citations
Publisher

Abstract

We study the secrecy broadcast transmission capacity of a broadcast wireless ad hoc network of legitimate nodes coexisted with a correlated network of eavesdroppers. We define the secrecy broadcast transmission capacity as the product among the spatial density of broadcast transmissions without secrecy outage, the average number of neighbors of a broadcasting node, and the secrecy rate. By modeling the correlation between the legitimate nodes and the eavesdroppers as a spatial bivariate Poisson process, we derive the average number of eavesdropping neighbors that can cause secrecy outage and characterize the secrecy broadcast transmission capacity over general fading and Rayleigh fading channels. Numerical results show that in comparison to the case that without correlation, the correlation between the legitimate nodes and the eavesdroppers degrades the secrecy broadcast transmission capacity.

DOI
10.1109/glocomw.2012.6477627

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We study the secrecy broadcast transmission capacity of a broadcast wireless ad hoc network of legitimate nodes coexisted with a correlated network of eavesdroppers. We define the secrecy broadcast transmission capacity as the product among the spatial density of broadcast transmissions without secrecy outage, the average number of neighbors of a broadcasting node, and the secrecy rate. By modeling the correlation between the legitimate nodes and the eavesdroppers as a spatial bivariate Poisson process, we derive the average number of eavesdropping neighbors that can cause secrecy outage and characterize the secrecy broadcast transmission capacity over general fading and Rayleigh fading channels. Numerical results show that in comparison to the case that without correlation, the correlation between the legitimate nodes and the eavesdroppers degrades the secrecy broadcast transmission capacity.
Correlation between the legitimate receiver and the eavesdropper has been seldom considered in the literature when evaluating secrecy metrics in stochastic wireless networks. In practice, however, poor scattering conditions may lead to spatially correlated channels, which can be exploited by eavesdroppers. In this paper we investigate the connection outage and secrecy outage in Poisson-distributed random networks under Nakagami-m fading and mutually correlated legitimate and eavesdropping channels. Numerical results show that correlated fading has an important effect on security, which may be either beneficial or harmful, depending on the secrecy outage constraints.
We consider the transmission of confidential data over wireless channels with multiple communicating parties. Based on an information-theoretic problem formulation in which two legitimate partners communicate over a quasi-static fading channel and an eavesdropper observes their transmissions through another independent quasi-static fading channel, we define the secrecy capacity in terms of outage probability and provide a complete characterization of the maximum transmission rate at which the eavesdropper is unable to decode any information. In sharp contrast with known results for Gaussian wiretap channels (without feedback), our contribution shows that in the presence of fading information-theoretic security is achievable even when the eavesdropper has a better average signal-to-noise ratio (SNR) than the legitimate receiver - fading thus turns out to be a friend and not a foe.
We consider the secrecy capacity of unicast channels of ad hoc networks exposed to randomly located eavesdroppers, as modeled by S-Graphs. Expressions that quantify the impact of fading and of the density of legitimate nodes relative to that of eavesdroppers are obtained, in terms of the probability that secrecy capacities of unicast channels are nonzero. The results indicate that depending on the relative density of eavesdroppers and the fading intensity, the secrecy capacity of unicast channels subject to fading may be higher than under additive white Gaussian noise (AWGN).
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.
In this paper, we consider secure broadcasting over fast fading channels. Assuming imperfect main channel state information (CSI) at the transmitter, we first provide an upper and a lower bounds on the ergodic secrecy capacity when a common message is broadcasted to multiple legitimate receivers in the presence of one eavesdropper. For this case, we show that the secrecy rate is limited by the legitimate receiver having, on average, the worst main channel link. Then, we present an expression for the achievable secrecy sum-rate when each legitimate receiver is interested in an independent message. The special cases of high SNR, perfect and no-main CSI are also analyzed. Numerical results are presented to illustrate the obtained results for the case of independent but not necessarily identically distributed Rayleigh fading channels.
Wireless security has become an important issue for modern wireless networks. Due to the broadcast nature of wireless channels possibility of eavesdropping the transmission is provided for non-legitimate receivers. In the present paper, we consider a multi-antenna wiretap channel in a fast-fading environment with only statistical channel state information available at the receiver. The overall performance of such channel is characterized by the ergodic secrecy capacity, which, in general, cannot be characterized explicitly. Nevertheless, based on the assumption that the numbers of antennas at legitimate terminals and the number of eavesdroppers grow large without bound, we derive a deterministic approximation for the achievable ergodic secrecy rate under arbitrary channel inputs. The obtained large-system approximation matches well with the actual simulated secrecy rates, revealing some interesting behavior of the secrecy rates in the given scenario.