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Electronics Letters

Secrecy throughput of MISO single‐eavesdropper ropper networks with imperfect channel state information

Lei Wang, Yueming Cai, Liang Zhang, Weiwei Yang

Published Jul 1, 2015• 1 citation
Publisher

Abstract

The joint effects of feedback delay, limited feedback and channel estimation errors on the secrecy performance of a multiple‐input–single‐output (MISO) system employing transmit beamforming against passive eavesdropping are investigated. Closed‐form expressions of the effective secrecy throughput which characterise the average rate of achieving reliable and secure transmissions are derived. Simulation results verify the theoretical analysis and show that different from feedback delay and limited feedback which degrade performance, imperfect channel estimation may not always harm the secrecy throughput. Furthermore, it is interesting to find that there exists an optimal transmit signal‐to‐noise ratio (SNR) for achieving the maximal secrecy throughput and channel state information imperfections will increase the optimal value of the transmit SNR.

DOI
10.1049/el.2015.0341

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The joint effects of feedback delay, limited feedback and channel estimation errors on the secrecy performance of a multiple‐input–single‐output (MISO) system employing transmit beamforming against passive eavesdropping are investigated. Closed‐form expressions of the effective secrecy throughput which characterise the average rate of achieving reliable and secure transmissions are derived. Simulation results verify the theoretical analysis and show that different from feedback delay and limited feedback which degrade performance, imperfect channel estimation may not always harm the secrecy throughput. Furthermore, it is interesting to find that there exists an optimal transmit signal‐to‐noise ratio (SNR) for achieving the maximal secrecy throughput and channel state information imperfections will increase the optimal value of the transmit SNR.
In this paper, we analyze the effect of feedback delay and estimation errors on secrecy throughput performance in wireless networks. Specially, we consider a multiple-input single-output single eavesdropper (MISOSE) channel, where a multi-antenna source sends private signals to a single-antenna legitimate receiver in the presence of an eavesdropper. In order to enhance the security, we adopt hybrid beamforming and artificial jamming scheme in this paper, considering the channel estimation error and feedback delay of legitimate channel. Accordingly, we derive closed-form expression of outage probability and secrecy throughput under imperfect channel conditions. Furthermore, secrecy throughput performance in high Signal-to-Noise-Ratio (SNR) region is also investigated. Analytical and numerical results show that the channel feedback delay plays a more important role on secrecy throughput performance in MISOSE networks. Moreover, we found that secrecy throughput would deteriorate in high SNR region or feedback delay conditions.
In this paper, we investigate the secrecy performance for a multiple-input multiple-output (MIMO) wiretap channel in the presence of a multiantenna eavesdropper. In particular, the legitimate transmitter uses transmit antenna selection (TAS) to transmit on a single antenna with the largest signal-to-noise ratio (SNR) while both the legitimate receiver and the eavesdropper adopt maximal ratio combining (MRC) for reception. We derive exact closed-form expressions for the probabilities of achieving positive secrecy rate and secrecy outage in the case of imperfect feedback due to feedback delay and/or feedback error. Furthermore, we derive the asymptotic secrecy outage probability at high SNR, which accurately reveals the secrecy diversity loss due to imperfect feedback. Simulation results are provided to verify our analytical results and illustrate the impact of imperfect feedback on the secrecy performance of such a wiretap system.
Abstract In this paper, we investigate the secrecy performance of multiple‐input–multiple‐output wiretap channels with outdated channel state information (CSI) at the transmitter. The joint effect of multiple jamming signals and noise at the eavesdropper is studied assuming that the transmitter adopts a transmit antenna selection technique, while both the legitimate receiver and the eavesdropper use a maximal‐ratio combining scheme to achieve spatial diversity in reception. Exact closed‐form expressions for the nonzero secrecy rate probability and the secrecy outage probability for an arbitrary number of power distributed jamming signals are derived, by assuming both perfect and imperfect CSI. The general secrecy outage probability expressions are simplified for 2 special cases, ie, different and equal power distributed interferers. Furthermore, we conduct an asymptotic secrecy outage analysis at high signal‐to‐noise ratio, which reveals that the expected diversity gain cannot be realized for imperfect CSI and full diversity order can only be achieved under the perfect CSI condition. In addition, our results reveal that the number of antennas at the eavesdropper as well as the number of jamming signals do not affect the system diversity order. Simulation results are performed to illustrate the effects of imperfect feedback and other key system parameters on the secrecy performance. Finally, our analytical results are validated through Monte Carlo simulations.
In this letter, we consider physical layer security in multiple-input single-output (MISO) fading wiretap channels, where the transmitter utilizes a jamming-aided precoding transmission strategy to maximize the achievable secrecy rate of the channel. The instantaneous channel state information of the eavesdropper's channel is considered unavailable at the transmitter. We derive the closed-form expression of the ergodic secrecy rate, based on which we find that there exists an optimal power allocation ratio between the information signal and the jamming signal. Asymptotic analysis shows that the optimal power ratio depends on the number of antennas as well as the available transmit power at Alice.
A Gaussian multiple-input single-output (MISO) fading channel is considered. We assume that the transmitter, in addition to the statistics of all channel gains, is aware instantaneously of a noisy version of the channel to the legitimate receiver. On the other hand, the legitimate receiver is aware instantaneously of its channel to the transmitter, whereas the eavesdropper instantaneously knows all channel gains. We evaluate an achievable rate using a Gaussian input without indexing an auxiliary random variable. A sufficient condition for beamforming to be optimal is provided. When the number of transmit antennas is large, beamforming also turns out to be optimal. In this case, the maximum achievable rate can be expressed in a simple closed form and scales with the logarithm of the number of transmit antennas. Furthermore, in the case when a noisy estimate of the eavesdropper's channel is also available at the transmitter, we introduce the SNR difference and the SNR ratio criterions and derive the related optimal transmission strategies and the corresponding achievable rates.
A Gaussian multiple-input single-output (MISO) fading channel is considered. We assume that the transmitter, in addition to the statistics of all channel gains, is aware instantaneously of a noisy version of the channel to the legitimate receiver. On the other hand, the legitimate receiver is aware instantaneously of its channel to the transmitter, whereas the eavesdropper instantaneously knows all channel gains. We evaluate an achievable rate using a Gaussian input without indexing an auxiliary random variable. A sufficient condition for beamforming to be optimal is provided. When the number of transmit antennas is large, beamforming also turns out to be optimal. In this case, the maximum achievable rate can be expressed in a simple closed form and scales with the logarithm of the number of transmit antennas. Furthermore, in the case when a noisy estimate of the eavesdropper's channel is also available at the transmitter, we introduce the SNR difference and the SNR ratio criterions and derive the related optimal transmission strategies and the corresponding achievable rates.