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IEEE Consumer Communications and Networking Conference

Average secrecy capacity of the Weibull fading channel

Xian Liu

Published Jan 1, 2016• 23 citations
Publisher

Abstract

In this paper, the information-theoretic secrecy of Weibull fading channels is investigated. The present work is a generalization of the analysis on Rayleigh fading. This paper focuses on the scenario that the channel state information is available to the legitimate transmitter. The cases of single and multiple eavesdroppers are discussed. Several formulas of the average secrecy capacity are derived. Profile examples are illustrated and discussed.

DOI
10.1109/ccnc.2016.7444897

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In this paper, the information-theoretic secrecy of Weibull fading channels is investigated. The present work is a generalization of the analysis on Rayleigh fading. This paper focuses on the scenario that the channel state information is available to the legitimate transmitter. The cases of single and multiple eavesdroppers are discussed. Several formulas of the average secrecy capacity are derived. Profile examples are illustrated and discussed.
This paper investigates the information theoretic secrecy for different combinations of Rayeligh, Weibull and Hoyt fading channels. The considered communication model employs distinct channel conditions at legitimate and eavesdropping links. This scenario is deemed to be practical when the legitimate receiver and eavesdropper are placed far from each other and experience completely different type of channel fading conditions. Hence, this paper provides four scenarios when main (legitimate)/ wiretap (eavesdropping) channel undergo Weibull/Rayleigh fading, Rayleigh/Weibull fading, Weibull/Hoyt fading and Hoyt/Weibull fading. Closed-form expressions for the secrecy outage probability are derived for the given scenarios that are corroborated through extensive simulations in MATLAB.
The secure transmission of information over wireless systems in the presence of an eavesdropper has attracted much attention. In this paper, we consider the case that full CSI of the legitimate user but only the average channel gain of the eavesdropper is known at the transmitter. In such setting, some information will be inevitably leaked to the eavesdropper from the information-theoretic view and this was not quantitatively evaluated before. A secrecy transmission framework with leakage threshold is thereby proposed. The secrecy capacity satisfying this leakage probability constraints is derived along with an optimal power allocation strategy. For Rayleigh and Nakagami-m fading channels, numerical results indicate that our framework can work well with transmitter knowledge of only average channel gain of the eavesdropper.
This paper aims to the study of security in wireless transmission system through Weibull fading single-input multiple-output multicast channels considering multiple receivers and eavesdroppers. At first, the analytical expressions for the probability of non-zero secrecy multicast capacity and the ergodic secrecy multicast capacity are derived in closed-form to illustrate the numerical results. Then the closed-form expression for the secure outage probability is obtained to examine the secure outage behaviour. Finally, a comparison between Weibull and Rayleigh fading channel is presented to demonstrate the impact of Weibull fading parameter on the secrecy performance of the proposed scenario.
We consider the secure transmission of information over Rayleigh fading wiretap channel when the main and eavesdropper channels are correlated there. Assuming that before transmission the transmitter knows the full channel state information (CSI) of both the main and eavesdropper channels, we analyze the average secrecy capacity with limited signal-to-noise ratio (SNR), for which a simple closed-form expression is derived based on the typical Marcum Q function. This is achieved by exploring the symmetry property between the main channel and eavesdropper channel to avoid a complicated integration involved in the secrecy capacity analysis, such that the secrecy capacity derivation can be significantly simplified. Numerical results are also provided to confirm our analytical ones.
Nakagami-m fading channel is chosen to analyze the secrecy capacity for fading channels since the Nakagami-m distribution can model fading conditions, which are more or less severe than that of Rayleigh and has the advantage of including Rayleigh as a special case. At first, secrecy capacity is defined in case of full channel state information (CSI) at the transmitter, where transmitter has access to both the main channel and eavesdropper channel gains. Secondly, secrecy capacity is defined with only main channel CSI at the transmitter. Then, optimal power allocation at the transmitter that achieves the secrecy capacity is derived for both the cases. Moreover, secrecy capacity is defined under open-loop transmission scheme, and the exact closed form analytical expression for the lower bound of ergodic secrecy capacity is derived for Nakagami-m fading single-input multiple-output (SIMO) channel. In addition, secrecy capacity is defined for the AWGN channel in order to realize the information-theoretic security of wireless channels with no fading. Finally, analytical expressions for the probability of non-zero secrecy capacity and secure outage probability are derived in order to investigate the secure outage performance of fading channels.