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International Conference on Cyberspace Technology (CCT)

Secrecy throughput analysis in MISOSE networks with channel feedback delay and channel estimation errors

Zhi Lin, Lei Wang, Yueming Cai, Weiwei Yang

Published Jan 1, 2015• 0 citations
Publisher

Abstract

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.

DOI
10.1049/cp.2015.0809

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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.
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.
Utilizing artificial noise (AN) is a good means to guarantee security against eavesdropping in a multi-input multi-output system, where the AN is designed to lie in the null space of the legitimate receiver's channel direction information (CDI). However, imperfect CDI will lead to noise leakage at the legitimate receiver and cause significant loss in the achievable secrecy rate. In this paper, we consider a delayed feedback system, and investigate the impact of delayed CDI on security by using a transmit beamforming and AN scheme. By exploiting the Gauss-Markov fading spectrum to model the feedback delay, we derive a closed-form expression of the upper bound on the secrecy rate loss, where Nt= 2. For a moderate number of antennas where Nt>; 2, two special cases, based on the first-order statistics of the noise leakage and large number theory, are explored to approximate the respective upper bounds. In addition, to maintain a constant signal-to-interference-plus-noise ratio degradation, we analyze the corresponding delay constraint. Furthermore, based on the obtained closed-form expression of the lower bound on the achievable secrecy rate, we investigate an optimal power allocation strategy between the information signal and the AN. The analytical and numerical results obtained based on first-order statistics can be regarded as a good approximation of the capacity that can be achieved at the legitimate receiver with a certain number of antennas, Nt. In addition, for a given delay, we show that optimal power allocation is not sensitive to the number of antennas in a high signal-to-noise ratio regime. The simulation results further indicate that the achievable secrecy rate with optimal power allocation can be improved significantly as compared to that with fixed power allocation. In addition, as the delay increases, the ratio of power allocated to the AN should be decreased to reduce the secrecy rate degradation.
Random unitary beamforming (RUB) is a multiple antenna transmission scheme requiring limited channel state information (CSI) with low computational complexity. In this paper, we investigate the security performance of RUB over a multiple-input single-output single-eavesdropper (MISOSE) broadcast channel. We derive the closed-form expressions of ergodic secrecy rate and the secrecy outage probability (SOP) of the resulting design. Meanwhile, the effect of artificial noise (AN) on physical layer (PHY) security performance of RUB-based MISOSE transmission is also investigated. Numerical results are presented to illustrate the tradeoff between performance and complexity of the proposed PHY security design. We show that the deployment of RUB offers an attractive solution for enhancing the security of wireless transmission systems.
I265 this paper, we investigate the secrecy performance of multi-input single-output and single-eavesdropper (MISOSE) cognitive radio (CR) networks over correlated fading channels. For the security enhancement, the transmit antenna selection (TAS) scheme is used to select the best transmit antenna at Alice based on the main channel. In order to analyze the impact of channel correlation coefficient, interference temperature threshold and antenna numbers on the secrecy performance, we firstly derive the exact closed-form expression of the secrecy outage probability (SOP) for the considered system taking into account the correlation between the main channel and wiretapping channel. Moreover, to extract more deep insights, the asymptotic expression of SOP in high main-to-eavesdropper ratio (MER) regime is also derived, which reveals that the channel correlation does not degrade the secrecy diversity order and even can strengthen the secrecy performance in high MER regime. Finally, numerical results are provided to demonstrate the correctness and accuracy of our analysis.
Recently, wireless security has been highlighted as one of the most important techniques for 6G mobile communication systems. Many researchers have tried to improve the Physical-Layer Security (PLS) performance such as Secrecy Outage Probability (SOP) and Secrecy Energy-Efficiency (SEE). The SOP indicates the outage probability that the data transmission between legitimate devices does not guarantee a certain reliability level, and the SEE is defined as the ratio between the achievable secrecy-rate and the consumed transmit power. In this paper, we consider a Multi-User Multi-Input Single-Output (MU-MISO) downlink cellular network where a legitimate Base Station (BS) equipped with multiple transmit antennas sends secure information to multiple legitimate Mobile Stations (MSs), and multiple potential eavesdroppers (EVEs) equipped with a single receive antenna try to eavesdrop on this information. Each potential EVE tries to intercept the secure information, i.e., the private message, from the legitimate BS to legitimate MSs with a certain eavesdropping probability. To securely receive the private information, each legitimate MS feeds back its effective channel gain to the legitimate BS only when the effective channel gain is higher than a certain threshold, i.e., the legitimate MSs adopt an Opportunistic Feedback (OF) strategy. In such eavesdropping channels, both SOP and SEE are analyzed as performance measures of PLS and their closed-form expressions are derived mathematically. Based on the analytical results, it is shown that the SOP of the OF strategy approaches that of a Full Feedback (FF) strategy as the number of legitimate MSs or the number of antennas at the BS increases. Furthermore, the trade-off between SOP and SEE as a function of the channel feedback threshold in the OF strategy is investigated. The analytical results and related observations are verified by numerical simulations.