Optimal joint cooperative beamforming and artificial noise design for secrecy rate maximization in AF relay networks

This paper studies cooperative secure transmission in wireless relay networks, where a source sends a confidential message to a legitimate destination through a set of amplify-and-forward (AF) relays in the presence of multiple eavesdroppers. To prevent the eavesdroppers from retrieving the message, we assume that the relays employ a joint cooperative beamforming (CB) and artificial noise (AN) strategy. Under both the total and individual relay power constraints, we propose an optimal joint CB-AN design based on secrecy rate maximization (SRM). We treat the SRM problem by a combination of two-level optimization and semidefinite relaxation (SDR). For the latter, we prove that SDR always has a rank-one solution for the SRM problem - which identifies that SDR is optimal. Simulation results are presented to show the efficacy of the proposed joint CB-AN design.

[1]  Zhu Han,et al.  Improving Wireless Physical Layer Security via Cooperating Relays , 2010, IEEE Transactions on Signal Processing.

[2]  A. Lee Swindlehurst,et al.  Principles of Physical Layer Security in Multiuser Wireless Networks: A Survey , 2010, IEEE Communications Surveys & Tutorials.

[3]  Mustafa Cenk Gursoy,et al.  Relay beamforming strategies for physical-layer security , 2010, 2010 44th Annual Conference on Information Sciences and Systems (CISS).

[4]  Qiang Li,et al.  Cooperative Secure Beamforming for AF Relay Networks With Multiple Eavesdroppers , 2013, IEEE Signal Processing Letters.

[5]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[6]  Kai-Kit Wong,et al.  Optimal Cooperative Jamming to Enhance Physical Layer Security Using Relays , 2011, IEEE Transactions on Signal Processing.

[7]  A. Lee Swindlehurst,et al.  Fixed SINR solutions for the MIMO wiretap channel , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[8]  Huiming Wang,et al.  Joint Cooperative Beamforming and Jamming to Secure AF Relay Systems With Individual Power Constraint and No Eavesdropper's CSI , 2013, IEEE Signal Processing Letters.

[9]  Chong-Yung Chi,et al.  QoS-Based Transmit Beamforming in the Presence of Eavesdroppers: An Optimized Artificial-Noise-Aided Approach , 2011, IEEE Transactions on Signal Processing.

[10]  Abraham Charnes,et al.  Programming with linear fractional functionals , 1962 .

[11]  Qiang Li,et al.  A robust artificial noise aided transmit design for MISO secrecy , 2011, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[12]  Steven P. Weber,et al.  On Cooperative Relaying Schemes for Wireless Physical Layer Security , 2010, IEEE Transactions on Signal Processing.

[13]  Rohit Negi,et al.  Guaranteeing Secrecy using Artificial Noise , 2008, IEEE Transactions on Wireless Communications.

[14]  A. Lee Swindlehurst,et al.  Cooperative Jamming for Secure Communications in MIMO Relay Networks , 2011, IEEE Transactions on Signal Processing.

[15]  Shlomo Shamai,et al.  Information Theoretic Security , 2009, Found. Trends Commun. Inf. Theory.

[16]  Qiang Li,et al.  Optimal and Robust Transmit Designs for MISO Channel Secrecy by Semidefinite Programming , 2010, IEEE Transactions on Signal Processing.

[17]  Matthew R. McKay,et al.  Secure Transmission With Artificial Noise Over Fading Channels: Achievable Rate and Optimal Power Allocation , 2010, IEEE Transactions on Vehicular Technology.

[18]  A. Lee Swindlehurst,et al.  Robust Secure Transmission in MISO Channels Based on Worst-Case Optimization , 2011, IEEE Transactions on Signal Processing.

[19]  Zhi-Quan Luo,et al.  Semidefinite Relaxation of Quadratic Optimization Problems , 2010, IEEE Signal Processing Magazine.