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IEEE Signal Processing Letters

Secrecy Performance of Maximum Ratio Diversity With Channel Estimation Error

Kyung Seung Ahn, Sung–Woo Choi, Jae-Min Ahn

Published Aug 4, 2015• 15 citations
Publisher

Abstract

In this letter, we analyze the performance of maximum-ratio combining (MRC) system with channel estimation error for physical layer security. The quantified measure for channel estimation error is the correlation coefficient between the true fading channel coefficients and their estimates. Exact closed-form expressions for secrecy performance including the statistical distribution of the signal-to-noise ratio (SNR), the secrecy outage probability and the secrecy capacity are derived. The analytical results are confirmed by numerical simulations.

DOI
10.1109/lsp.2015.2464716

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In this letter, we analyze the performance of maximum-ratio combining (MRC) system with channel estimation error for physical layer security. The quantified measure for channel estimation error is the correlation coefficient between the true fading channel coefficients and their estimates. Exact closed-form expressions for secrecy performance including the statistical distribution of the signal-to-noise ratio (SNR), the secrecy outage probability and the secrecy capacity are derived. The analytical results are confirmed by numerical simulations.
In this letter, we introduce the performance of maximal ratio combining (MRC) with weighting errors for physical layer security. We assume both legitimate user and eavesdropper each equipped with multiple antennas employ non ideal MRC. The non ideal MRC is designed in terms of power correlation between the estimated and actual fadings. We derive new closed-form and generalized expressions for connection and secrecy outage probability. Next, we investigate asymptotic behavior of the outage probability for high signal-to-noise ratio in main channel between the legitimate user and the transmitter. The asymptotic analysis provides new insights about actual diversity provided by MRC with weighting errors. We substantiate our claims with the analytic results and numerical evaluations.
In this letter, we introduce the performance of maximal ratio combining (MRC) with weighting errors for physical layer security. We assume both legitimate user and eavesdropper each equipped with multiple antennas employ non ideal MRC. The non ideal MRC is designed in terms of power correlation between the estimated and actual fadings. We derive new closedform and generalized expressions for secrecy outage probability. Next, we investigate the asymptotic behavior of secrecy outage probability for high signal-to-noise ratio in the main channel between legitimate user and transmitter. The asymptotic analysis provides the insights about actual diversity provided by MRC with weighting errors. We substantiate our claims with the analytic results and numerical evaluations.
The impact of both maximal ratio combining (MRC) and relay selection on the physical layer security in wireless communication systems is studied by analyzing some important factors, including the probability characteristic of the legitimate receiver (Bob) and malicious eavesdropper (Eve)'s end-to-end signal-to-noise ratio (SNR), the secrecy outage probability, and the average secrecy channel capacity over Rayleigh fading Channel. We assume that Bob receives its data from both the relay and the source by cooperative communication, provided that MRC is employed at the receiver. Compared to the conventional MRC methods, a higher spatial diversity order can be exploited by performing relay selection in the proposed method, as validated via both theoretical analysis and numerical simulation. The theoretical closed-form expressions for some figures of merit, e.g., the secrecy outage probability and the average secrecy capacity, are all consistent with the numerical results.
The diversity scheme has been used recently to improve the reliability of the massage signal by using two or more communication channels depending on many characteristics. Maximum Ratio Combining (MRC) is one of the diversity combining methods by which the signals from each channel are added together and the gain of each channel is made to proportionate to the root mean square signal level. In this paper a diversity technique is proposed to increase the secure capacity over wireless fading channels. The legitimate user (Bob) takes on MRC to maximize the probability of secure transmission, whereas eavesdropper takes on MRC to maximize the probability of successful eavesdropping. We assume that Bob and Eve follow different fading channels, Rayleigh and Nakagami-m, respectively. Depending on these assumptions, closed-form expression for secrecy outage probability is derived.
Physical Layer Security of MRC in Fisher–Snedecor FFF Fading Channels
The physical layer security (PLS) is explored in quasi-static Fisher-Snedecor F Fading Channels with maximal ratio combining (MRC), which have been used to model the conventional and emerging realistic wireless communication channels. We consider the secure transmission of privileged information from a single antenna legitimate transmitter to L-antenna legitimate receiver are wiretapped by L-antenna eavesdropper. The receiver maximizes the probability of secure transmission by adopting MRC, whereas eavesdropper maximizes the probability of eavesdropping by adopting MRC. We derive PLS secrecy metrics for a system setup where the transmitter is having no channel state information (CSI) of both the receiver and eavesdropper. Specifically, we derive a novel closed-form expressions for secure outage probability (SOP) and strictly positive secrecy capacity (SPSC). Furthermore, to obtain important insight into the effect of channel parameters on the secrecy performance, an asymptotic analysis is conducted for SOP at high signal-to-noise ratio (SNR) regime.
This paper advocates physical layer security of maximal ratio combining (MRC) in wiretap two-wave with diffuse power fading channels. In such a wiretap channel, we consider that confidential messages transmitted from a single antenna transmitter to an M-antenna receiver are overheard by an N-antenna eavesdropper. The receiver adopts MRC to maximize the probability of secure transmission, whereas the eavesdropper adopts MRC to maximize the probability of successful eavesdropping. We derive the secrecy performance for two practical scenarios: 1) the eavesdropper's channel state information (CSI) is available at the transmitter and 2) the eavesdropper's CSI is not available at the transmitter. For the first scenario, we develop a new analytical framework to characterize the average secrecy capacity as the principal security performance metric. Specifically, we derive new closed-form expressions for the exact and asymptotic average secrecy capacity. Based on these, we determine the high signal-to-noise ratio power offset to explicitly quantify the impacts of the main channel and the eavesdropper's channel on the average secrecy capacity. For the second scenario, the secrecy outage probability is the primary security performance metric. Here, we derive new closed-form expressions for the exact and asymptotic secrecy outage probability. We also derive the probability of nonzero secrecy capacity. The asymptotic secrecy outage probability explicitly indicates that the positive impact of M is reflected in the secrecy diversity order and the negative impact of N is reflected in the secrecy array gain. Motivated by this, we examine the performance gap between N and N+1 antennas based on their respective secrecy array gains.