Secrecy Outage in MISO Systems With Partial Channel Information

Gerbracht, Sabrina; Scheunert, Christian; Jorswieck, Eduard A.

doi:10.1109/tifs.2011.2181946

Cited by 191 publications

(107 citation statements)

References 23 publications

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“…This is because if r † HQ ′ H † r < x, then Q ′ is feasible for the problem of (11) but achieves a strictly larger objective value than Q * in (11). But this contradicts the fact that Q * is the optimal solution to (11), so Q * is also the optimal solution to (13).…”

Section: Multiple-antenna Receivermentioning

confidence: 97%

“…We want to prove that Q * is also the optimal solution to (13). Let Q ′ be any solution to the above problem (13).…”

Section: Multiple-antenna Receivermentioning

confidence: 99%

“…In [12], the authors study the secrecy outage probability using CJ for different levels of CSI. The optimal transmit beamforming together with AN design for minimizing the secrecy outage probability is addressed in [13] [14]. The work in [15] combines CJ with interference alignment.…”

mentioning

confidence: 99%

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Improving Physical Layer Secrecy Using Full-Duplex Jamming Receivers

Zheng

Krikidis

et al. 2013

IEEE Trans. Signal Process.

371

285

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Abstract-This paper studies secrecy rate optimization in a wireless network with a single-antenna source, a multi-antenna destination and a multi-antenna eavesdropper. This is an unfavorable scenario for secrecy performance as the system is interference-limited. In the literature, assuming that the receiver operates in half duplex (HD) mode, the aforementioned problem has been addressed via use of cooperating nodes who act as jammers to confound the eavesdropper. This paper investigates an alternative solution, which assumes the availability of a full duplex (FD) receiver. In particular, while receiving data, the receiver transmits jamming noise to degrade the eavesdropper channel. The proposed self-protection scheme eliminates the need for external helpers and provides system robustness. For the case in which global channel state information is available, we aim to design the optimal jamming covariance matrix that maximizes the secrecy rate and mitigates loop interference associated with the FD operation. We consider both fixed and optimal linear receiver design at the destination, and show that the optimal jamming covariance matrix is rank-1, and can be found via an efficient 1-D search. For the case in which only statistical information on the eavesdropper channel is available, the optimal power allocation is studied in terms of ergodic and outage secrecy rates. Simulation results verify the analysis and demonstrate substantial performance gain over conventional HD operation at the destination.

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Section: Multiple-antenna Receivermentioning

confidence: 97%

“…We want to prove that Q * is also the optimal solution to (13). Let Q ′ be any solution to the above problem (13).…”

Section: Multiple-antenna Receivermentioning

confidence: 99%

See 1 more Smart Citation

Improving Physical Layer Secrecy Using Full-Duplex Jamming Receivers

Zheng

Krikidis

et al. 2013

IEEE Trans. Signal Process.

371

285

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show abstract

“…The results show that coding over a large number of fading blocks, has a positive effect on the secrecy capacity and secure communication is possible even when the average SNR of the legitimate receiver is smaller than that of the eavesdropper. The secrecy outage with perfect main CSIT and partial eavesdropper's CSIT available at the transmitter is investigated in [17].…”

Section: A Motivation and Related Workmentioning

confidence: 99%

Achievable Rates of Secure Transmission in Gaussian MISO Channel With Imperfect Main Channel Estimation

Zhou

Rezki

Alomair

et al. 2016

IEEE Trans. Wireless Commun.

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“…One key performance measure of PHY security is secrecy rate, which is characterized by the channel capacity difference of the legitimate user (LU) and the eavesdropper (Eve). Popular PHY security approaches include transmit beamforming [2]- [4] and artificial-noise (AN)-based designs [5]- [7], which explore certain channel statistical independence to either enhance the LU's reception or jam the Eve's reception.…”

Section: Introductionmentioning

confidence: 99%

Frequency diverse array beamforming for physical-layer security with directionally-aligned legitimate user and eavesdropper

Lin

Yang

2017

2017 25th European Signal Processing Conference (EUSIPCO)

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Abstract-The conventional physical-layer (PHY) security approaches, e.g., transmit beamforming and artificial noise (AN)-based design, may fail when the channels of legitimate user (LU) and eavesdropper (Eve) are close correlated. Due to the highly directional transmission feature of millimeter-wave (mmWave), this may occur in mmWave transmissions as the transmitter, Eve and LU are aligned in the same direction exactly. To handle the PHY security problem with directionally-aligned LU and Eve, we propose a novel frequency diverse array (FDA) beamforming approach to differentiating the LU and Eve. By intentionally introducing some frequency offsets across the antennas, the FDA beamforming generates an angle-range dependent beampattern. As a consequence, it can degrade the Eve's reception and thus achieve PHY security. In this paper, we maximize the secrecy rate by jointly optimizing the frequency offsets and the beamformer. This secrecy rate maximization (SRM) problem is hard to solve due to the tightly coupled variables. Nevertheless, we show that it can be reformulated into a form depending only on the frequency offsets. Building upon this reformulation, we identify some cases where the SRM problem can be optimally solved in closed form. Numerical results demonstrate the efficacy of FDA beamforming in achieving PHY security, even for aligned LU and Eve.

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Secrecy Outage in MISO Systems With Partial Channel Information

Cited by 191 publications

References 23 publications

Improving Physical Layer Secrecy Using Full-Duplex Jamming Receivers

Improving Physical Layer Secrecy Using Full-Duplex Jamming Receivers

Achievable Rates of Secure Transmission in Gaussian MISO Channel With Imperfect Main Channel Estimation

Frequency diverse array beamforming for physical-layer security with directionally-aligned legitimate user and eavesdropper

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