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IEEE Transactions on Vehicular Technology

Secure On–Off Transmission in Slow Fading Wiretap Channel With Imperfect CSI

Pengcheng Mu, Zongze Li, Bo Wang

Published May 15, 2017• 21 citations
Publisher

Abstract

This paper investigates the slow fading single-antenna wiretap channel with imperfect channel state information (CSI) and studies an on-off transmission scheme with fixed communication rate, secrecy rate, and transmit power for maximizing the secrecy throughput under the constraints of secrecy outage probability (SOP) and reliability outage probability (ROP). We first solve this problem in a special case without ROP constraint for which the optimal secrecy throughput is obtained under SOP constraint. The result for the special case gives us an upper bound for the secrecy throughput with imperfect CSI. With the help of this special case, a general case with ROP constraint is studied. In this case, the problem is transformed into a one-dimensional (1-D) search problem on a finite interval, which can be solved either by the exhaustive 1-D search to obtain the optimal solution or by the golden search method (GSM) to obtain a suboptimal solution. Simulation results are finally presented to validate the theoretical analysis and show that the performance obtained by using the GSM based 1-D search is very close to that of exhaustive 1-D search.

DOI
10.1109/tvt.2017.2703861

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This paper investigates the slow fading single-antenna wiretap channel with imperfect channel state information (CSI) and studies an on-off transmission scheme with fixed communication rate, secrecy rate, and transmit power for maximizing the secrecy throughput under the constraints of secrecy outage probability (SOP) and reliability outage probability (ROP). We first solve this problem in a special case without ROP constraint for which the optimal secrecy throughput is obtained under SOP constraint. The result for the special case gives us an upper bound for the secrecy throughput with imperfect CSI. With the help of this special case, a general case with ROP constraint is studied. In this case, the problem is transformed into a one-dimensional (1-D) search problem on a finite interval, which can be solved either by the exhaustive 1-D search to obtain the optimal solution or by the golden search method (GSM) to obtain a suboptimal solution. Simulation results are finally presented to validate the theoretical analysis and show that the performance obtained by using the GSM based 1-D search is very close to that of exhaustive 1-D search.
Physical layer security in slow fading wiretap channels is often guaranteed by constraining the secrecy outage probability (SOP) below a maximum tolerable value. In this paper, we propose a new nonadaptive (NADP) transmission scheme for maximizing the secrecy throughput by using adjustable transmit power based on the instantaneous channel state information (CSI) of the main channel under an SOP constraint. To solve this problem, we transform the optimization problem to single-variable maximization problems in two cases, and the quasiconcavity of them is proved which allows us to use the Golden Section Method (GSM) to find the optimal solution. Simulation results are provided and verify that the proposed NADP scheme is superior to the existing one especially when the transmit power is high.
In this paper, we investigate the physical-layer security of slow fading wiretap channel with channel estimation errors. We aim to maximize the reliable secrecy rate under constraints of secrecy outage probability and reliability outage probability. To this end, we propose an adaptive (ADP) transmission scheme in which the communication rate and secrecy rate are adaptively adjusted based on the estimated imperfect channel state information (CSI) of the legitimate channel. The optimal solution is obtained by solving a single-variable maximization problem, where the objective function is log-concave. Numerical results are provided to verify our approach as well as to show the impact of imperfect CSI on the secrecy throughput.
The issue of physical layer security in single-antenna wiretap channels with slow fading is addressed in this letter. With the assumption of perfect channel state information (CSI) about the main channel and statistical CSI about the eavesdropper's channel, we propose a new secure transmission scheme under the constraints of transmit power and secrecy outage probability (SOP). This scheme fixes the communication rate and adaptively adjusts the secrecy rate and the transmit power during transmission, which is different from the conventional adaptive and non-adaptive schemes in the literature. By fixing the communication rate, the proposed scheme fixes the length of codebook and thus simplifies the codebook design. Simulation results show that the proposed scheme performs well when the SOP constraint is strict.
The issue of physical layer security for the wireless communication with slow fading is addressed in this paper, and the secrecy outage performance is concerned. The system is modeled as a wiretap channel, and each of the transmitter and receivers is equipped with a single antenna. The channel state information (CSI) about the channel from the transmitter to the legitimate receiver (the main channel) is assumed to be perfectly known by the transmitter and the receivers, while the transmitter does not know the CSI about the channel from the transmitter to the eavesdropper (the eavesdropper's channel) but its probability density function (PDF). Differing from the fixed secrecy rate scheme and the on/off scheme in the literature, this paper adaptively chooses the secrecy rate. The secrecy rate for each value of the main channel gain is determined by the required secrecy outage probability and the PDF of the eavesdropper's channel, and the secrecy throughput is maximized under the constraint of the transmit power for the required secrecy outage probability. The quasi-static Rayleigh fading channel is used to compare our scheme with the two existing schemes, and simulation results show that our scheme outperforms them when small secrecy outage probabilities are required.
This paper concerns the problem of secrecy transmission on slow fading parallel wiretap channels, where a transmitter Alice wants to transmit messages to an intended receiver Bob with an illegitimate receiver Eve eavesdropping on these messages. The channels are modeled as independent Parallel Rayleigh fading channels, and the coding per sub-channel (CPS) scheme is used with distinct encoders for each sub-channel. Moreover, the channel state information (CSI)concerning Bob is assumed to be perfectly known, while only the probability density function (PDF) of the CSI concerning Eve is available since Eve is usually a passive receiver. We aim to maximize the sum of secrecy rates with the CPS scheme under the constraint of secrecy outage probability (SOP). To this end, we propose a new average SOP which is a weighted sum of all the SOP for each sub-channel, and a secrecy rate maximization (SRM) problem is formulated under the constraint of SOP. Since this SRM problem is not convex and difficult to solve, three suboptimal solutions are proposed which improves the secrecy rate step by step. Numerical results show that the new SOP constraint is beneficial to improve the secrecy rate compared to the conventional one.
We design new secure on-off transmission schemes in wiretap channels with outdated channel state information (CSI). In our design, we consider not only the outdated CSI from the legitimate receiver but two distinct scenarios as well, depending on whether the outdated CSI from the eavesdropper is known at the transmitter. Under this consideration, our schemes exploit useful knowledge contained in the available outdated CSI, and based on this, the transmitter decides on whether to transmit or not. We derive new closed-form expressions for the transmission probability, the connection outage probability, the secrecy outage probability, and the reliable and secure transmission probability to characterize the achievable performance. Based on these results, we present the optimal solutions that maximize the secrecy throughput under dual connection and secrecy outage constraints. Our analytical and numerical results offer detailed insights into the design of the wiretap coding parameters and the imposed outage constraints. We further show that allowing more freedom on the codeword transmission rate enables a larger feasible region of the dual outage constraints by exploiting the tradeoff between reliability and security.