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Mathematical Problems in Engineering

Securing Communication via Transmission of Artificial Noise by Both Sides: Bipolar-Beamforming Optimization

Yongkai Zhou, Yan Mei Zhu, Fangbiao Li, Zachary Imm, Xinxing Yin, Zhi Xue

Published Jan 1, 2013• 7 citations
Publisher

Abstract

The paper considers the secure transmission in a wireless environment in which both the transmitter (Alice) and the legitimate receiver (Bob) send artificial noise (AN) to interfere with the eavesdropper (Eve). Optimal design is analyzed in detail for this AN-by-both-side model to deal with Eve’s stochastic channel condition and random spatial distribution. Bipolar-beamforming is first proposed to jointly design Alice and Bob’s transmitting signals. By optimally assigning the transmitting antenna for Bob and allocating the power ratio between Alice’s information and the AN signal, maximum secrecy capacity can be achieved. Simulation is done to illustrate the process of bipolar-beamforming optimization. Results show that the AN-by-both-side model has good secrecy performance on both average and extreme conditions as Eve approaches Alice or Bob.

DOI
10.1155/2013/686403

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The paper considers the secure transmission in a wireless environment in which both the transmitter (Alice) and the legitimate receiver (Bob) send artificial noise (AN) to interfere with the eavesdropper (Eve). Optimal design is analyzed in detail for this AN-by-both-side model to deal with Eve’s stochastic channel condition and random spatial distribution. Bipolar-beamforming is first proposed to jointly design Alice and Bob’s transmitting signals. By optimally assigning the transmitting antenna for Bob and allocating the power ratio between Alice’s information and the AN signal, maximum secrecy capacity can be achieved. Simulation is done to illustrate the process of bipolar-beamforming optimization. Results show that the AN-by-both-side model has good secrecy performance on both average and extreme conditions as Eve approaches Alice or Bob.
In this paper, we considered the joint maskedbeamforming in secure wireless transmission in which artificial noise is sent by the transmitter (Alice) and the receiver (Bob) jointly.A new and efficient optimization scheme is proposed to separately allocate the power ratio for Alice and assign the transmit antenna for Bob.It is proved that when Bob's artificial noise is high enough, Alice should allocate less proportion of her power to the artificial noise.The proposed model combined with proper parameter design can achieve optimal secrecy performance.
In wireless communication, the transmitter (Alice) can send artificial noise (AN) to interfere with the eavesdropper (Eve). This letter considers the AN MIMO scenario, i.e., both Alice and the legitimate receiver (Bob) are equipped with multiple antennas. A closed-form expression for the lower bound of secrecy capacity is obtained. It is proved that water-filling is the optimal power allocation scheme. An efficient iterative algorithm is proposed to find the optimal power distribution ratio between information and AN so that maximum secrecy capacity can be achieved. Simulation results show that the proposed algorithm converges fast, and multiple antennas can improve the secrecy capacity to some extent compared to the AN MISO case.
This letter considers the secure MIMO transmission in a wireless environment, in which one transmitter (Alice), one receiver (Bob) and one eavesdropper (Eve) are involved. Apart from the artificial noise (AN) generated by Alice, Bob can also exploit his remaining antenna resources to emit AN to further impair Eve's channel. Such kind of AN can be cancelled by Bob himself by applying the Full-Duplex wireless communication technique. A computable secrecy rate is obtained for this model over a Rayleigh-fading eavesdropping channel. In order to maximize the secrecy rate, a joint optimization scheme is proposed to assign the TX/RX antennas for Bob and to design the beamforming and power allocation for Alice's information and AN signal. Simulation is carried out to illustrate the process of the proposed optimization scheme.
This paper studies the secure communication between a multiple-antenna transmitter (Alice) and a single-antenna destination (Bob) in the presence of more than one eavesdroppers (Eves). The optimal beamforming weights and the covariance matrix of artificial noise (AN) are obtained by minimizing the total transmission power of Alice, subject to a target secrecy rate constraint for Bob. We propose a two-level optimization method, where the inner-level optimization is solved by an interesting semidefinite relaxation method of W. C. Liao et al., and the outer-level optimization is solved by the golden section method. Our algorithm converges quite fast. Some properties of the optimal solution are also provided to illustrate the features of this problem.
This paper investigates cooperative security in wireless networks, where a source (Alice) intends to transmit a confidential message to a legitimate destination (Bob), with the help of a cooperative jammer (Charlie), coexisting with multiple passive eavesdroppers (Eves). In particular, by assuming knowledge of Bob's perfect channel state information (CSI) but only Eves’ statistical CSIs, secrecy beamforming with artificial noise (AN) is utilized for secure transmission, and cooperative jamming (CJ) is explored to further enhance secrecy. We first derive an accurate closed-form expression for the secrecy outage probability (SOP), and establish the condition under which positive secrecy rate is achievable. Then, we provide a secure transmit design for maximizing the SOP constrained secrecy rate. Moreover, based on a strict mathematical analysis, we characterize the impact of the main channel quality and the number of Eves on transmit design and secrecy performance. Specifically, optimal power allocation ratio between the information-bearing signal and the AN signal increases as the main channel quality improves, and decreases with the number of Eves. Numerical results confirm that our design achieves performance improvement in terms of both secrecy rate and secure energy efficiency, as compared to the approach without CJ.
This paper is concerned with the secure MIMO transmission in a classic three-node network, in which both the transmitter (Alice) and the receiver (Bob) simultaneously send artificial noise (AN) to impact the channel of the eavesdropper (Eve). Only statistical information about the eavesdropper channel is available. Compared to previous works, this paper studies the scenario in which the main channel are also time-varying and goes through Rayleigh fading. Expected secrecy rate is adopted to evaluate the performance of this model. Robust beamforming and power allocation are proposed to maximize the lower bound of the expected secrecy rate. Numerical results show that with the increase of Bob's AN power, the best practice is to allocate more dimensions for emitting AN and at the same time distribute a greater proportion of Alice's power to information symbols.