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IEEE Transactions on Wireless Communications

Secure Space-Time Communications Over Rayleigh Flat Fading Channels

Xiangming Li, Rongfei Fan, Xiaoli Ma, Jianping An, Tao Jiang

Published Oct 14, 2015• 13 citations
Publisher

Abstract

In this paper, we consider the wire-tap channel model consisting of three users, namely, a transmitter, a legal receiver, and an eavesdropper, where the eavesdropper has possible unlimited centralized or distributed multiple antennas, while the legal user has just a single antenna. With this model, we study the realization of strict positive secrecy rate through Rayleigh flat fading channels using M-ary phase shift keying (PSK) and orthogonal space-time block code (OSTBC) based on channel reciprocal principle. We demonstrate that the information rate at the eavesdropper can be reduced to zero and a positive communication rate at the legal receiver can be realized if the transmitter employs a proper phase precoder based on the channel reciprocal, and uses OSTBC and M-ary PSK modulations for data transmissions. Application examples of space-time codes for positive secrecy rate are illustrated. As we have given the eavesdropper more capabilities than the legal receiver and thus captured a worst case scenario, any positive secrecy rate that is achieved serves as a lower bound on the secrecy capacity.

DOI
10.1109/twc.2015.2490678

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In this paper, we consider the wire-tap channel model consisting of three users, namely, a transmitter, a legal receiver, and an eavesdropper, where the eavesdropper has possible unlimited centralized or distributed multiple antennas, while the legal user has just a single antenna. With this model, we study the realization of strict positive secrecy rate through Rayleigh flat fading channels using M-ary phase shift keying (PSK) and orthogonal space-time block code (OSTBC) based on channel reciprocal principle. We demonstrate that the information rate at the eavesdropper can be reduced to zero and a positive communication rate at the legal receiver can be realized if the transmitter employs a proper phase precoder based on the channel reciprocal, and uses OSTBC and M-ary PSK modulations for data transmissions. Application examples of space-time codes for positive secrecy rate are illustrated. As we have given the eavesdropper more capabilities than the legal receiver and thus captured a worst case scenario, any positive secrecy rate that is achieved serves as a lower bound on the secrecy capacity.
Network security is important for information protection in open, secure, or covert communications. One such requirement is to achieve high-rate communications between clients, e.g., terminals or sensors, in the network while hiding information about the transmitted symbols, signal activity, or other sensitive data from an unintended receiver, e.g., an eavesdropper. For wireless links, the single-user capacity advantages of deployment of multiple antennas at the transmitter is well known. One of the principal conclusions of this paper is that proper exploitation of space-time diversity at the transmitter can also enhance information security and information-hiding capabilities. In particular, we show that significant gains are achievable when the transmitter and the client receiver are both informed about their channel while the transmitter and eavesdropper receiver are uniformed about their channel. More generally, we compare capacity limits for both informed and uninformed transmitter and informed receiver scenarios subject to low probability of intercept (LPI) and low probability of detection (LPD) constraints. For several general cases, we can characterize the LPI- and LPD-optimal transmitted source distributions and compare them to the standard optimal source distribution satisfying a power constraint. We assume the standard quasi-static flat Rayleigh-fading channel model for the transmitter-receiver pairs. This paper is a step toward answering the fundamental question: what are the qualitative and quantitative differences between the information-carrying capabilities of open space-time channels versus secure space-time channels?
We consider a single-input multiple-output (SIMO) Rayleigh fading broadcast channel, where the transmitter sends some confidential information to one user which is a legitimate receiver in the presence of multiple eavesdroppers. The eavesdroppers are mutually independent and perfect secrecy is achieved when the transmitter and the legitimate receiver can communicate at some positive rate, while insuring that each eavesdropper gets zero bits of information. Here, we find the probability of non-zero secrecy mutual information and secure outage probability to investigate the outage behavior of proposed model. We also present a formulation of ergodic secrecy mutual information in the presence of multiple eavesdroppers.
In this paper, we investigate the physical layer security based on space shift keying (SSK) in which bit-to-spatial mapping of antenna indices dynamically adapts according to the partial channel state information (CSI) of the legitimate channel at the transmitter (Tx). Further, the Tx also adapts transmit power allocation to each transmit antenna according to partial CSI. Since an eavesdropper (Eve) is not (usually) aware of the legitimate CSI, it cannot successfully decode the antenna index; thus, transmission over the legitimate channel is secured from the wiretapping of Eve. An important virtue of the proposed scheme is that the Tx does not require full CSI of the legitimate and eavesdropper channels to secure the confidential information. The proposed work focuses on the secrecy rate (SR) and bit error rate (BER) of the considered multiple-input single-output system over Rayleigh fading channels. Approximate expressions of Bob's data rate for 2-ary and 4-ary SSK modulations are derived in closed-form. Furthermore, an upper-bound of Bob's data rate for Na-ary SSK modulation is also derived. In order to obtain the secrecy rate for the proposed scheme, we also evaluate Eve's data rate. Analytical results of SR and BER demonstrate the robustness of the proposed scheme. All numerical results are thoroughly verified by using extensive Monte Carlo simulations.
In this paper, the physical layer security of multiple-input multiple-output (MIMO) wiretap channels with orthogonal space-time block codes (OSTBCs) and arbitrary antenna correlation is investigated. In our analysis, we consider general correlation matrices with arbitrary eigenvalue distributions. Also, in order to study the impact of the line-of-sight condition on the secrecy performance, the main channel is assumed to undergo Rician fading, while the eavesdropper one experiences Rayleigh fading. An easy-to-evaluate, closed-form expression for the secrecy outage probability is derived, from which an asymptotic analysis is carried out. Representative numerical results are plotted and validated through Monte Carlo simulations. Insightful discussions regarding the impact of the multiple antennas, correlation, and Rician factor on the secrecy outage performance are provided.
In the perspective of information-theoretical security, inspired by the heterogeneity between legal and illegal channels, we consider the physical layer secrecy performance of a novel system model with a single antenna employed for both the transmitter and legal receiver, in the presence of a multiple antennas passive eavesdropper over dissimilar fading channels, where the legal/illegal channels are subject to Rayleigh/Nakagami-m and Nakagami-m/Rayleigh fading, respectively. We assume that the eavesdropper employs either maximal-ratio combining or selection combining reception in order to benefit from space diversity. Specifically, the exact closed-form expressions of the probability of existence of secrecy capacity and the secrecy outage probability are derived by utilizing statistical characteristics of the signal-to-noise ratio. Moreover, the delightful results reveal that the secrecy performance achieves a greater level when the Nakagami-m fading is supposed on the main link due to the line of sight component. In final, the analytical results are verified by Monte-Carlo simulation.
This paper analyze the problem of secret communication between two nodes over a wireless channel, in the presence of a passive eavesdropper. The effect of fading is also considered. It is assumed that the transmitter and receiver both have 2 antennas each while the eavesdropper consists of a single antenna. The article investigates this scenario using Alamouti Space Time Block Coding (STBC) and artificial noise. This approach significantly improves the physical layer security of the system. Moreover, the secrecy capacity of this system is also computed.