Robust AN-Aided Secure Precoding for an AF MIMO Untrusted Relay System

Robust artificial noise (AN) aided secure precoding for an amplify-and-forward multiple-input multiple-output untrusted relay system is studied, where the relay is untrusted and willing to help forwarding multiple data streams from the source to destination. We consider that the available channel state information is imperfect and modeled by the worst case model. Our objective is to maximize the worst case secrecy rate under the robust transmit power constraints at the source and relay, by jointly designing the signal and AN precoding matrices at the source and the precoding matrix at the relay. The robust secure precoding problem is nonconvex and hard to solve. To overcome this difficulty, we propose the weighted minimum mean square error based method, where the sign-definiteness lemma is used to eliminate the channel uncertainties and an effective iterative optimization algorithm is developed. Simulation results are provided to demonstrate the effectiveness of the proposed scheme.

[1]  Victor C. M. Leung,et al.  Anti-Eavesdropping Schemes for Interference Alignment (IA)-Based Wireless Networks , 2016, IEEE Transactions on Wireless Communications.

[2]  Dongtang Ma,et al.  Destination-Aided Cooperative Jamming for Dual-Hop Amplify-and-Forward MIMO Untrusted Relay Systems , 2016, IEEE Transactions on Vehicular Technology.

[3]  Victor C. M. Leung,et al.  Physical layer security issues in interference- alignment-based wireless networks , 2016, IEEE Communications Magazine.

[4]  George K. Karagiannidis,et al.  Secure Multiple Amplify-and-Forward Relaying Over Correlated Fading Channels , 2017, IEEE Transactions on Communications.

[5]  Chengwen Xing,et al.  Robust Coordinated Beamforming for Secure MISO Interference Channels with Bounded Ellipsoidal Uncertainties , 2013, IEEE Wireless Communications Letters.

[6]  Jun Zhao,et al.  Resource Management Based on Security Satisfaction Ratio with Fairness-Aware in Two-Way Relay Networks , 2015, Int. J. Distributed Sens. Networks.

[7]  Victor C. M. Leung,et al.  Secure Resource Allocation for OFDMA Two-Way Relay Wireless Sensor Networks Without and With Cooperative Jamming , 2016, IEEE Transactions on Industrial Informatics.

[8]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[9]  Tony Q. S. Quek,et al.  Physical-Layer Secret Key Generation With Colluding Untrusted Relays , 2016, IEEE Transactions on Wireless Communications.

[10]  Zhi-Quan Luo,et al.  An iteratively weighted MMSE approach to distributed sum-utility maximization for a MIMO interfering broadcast channel , 2011, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[11]  Qiao Liu,et al.  A Novel Physical Layer Security Scheme for MIMO Two-Way Relay Channels , 2015, 2015 IEEE Globecom Workshops (GC Wkshps).

[12]  Chengwen Xing,et al.  Robust Transceiver with Tomlinson-Harashima Precoding for Amplify-and-Forward MIMO Relaying Systems , 2011, IEEE Journal on Selected Areas in Communications.

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

[14]  Erik G. Larsson,et al.  The Sign-Definiteness Lemma and Its Applications to Robust Transceiver Optimization for Multiuser MIMO Systems , 2013, IEEE Transactions on Signal Processing.

[15]  Meixia Tao,et al.  Secure Beamforming for MIMO Two-Way Communications With an Untrusted Relay , 2013, IEEE Transactions on Signal Processing.

[16]  Il-Min Kim,et al.  Joint Secure Beamforming Design at the Source and the Relay for an Amplify-and-Forward MIMO Untrusted Relay System , 2012, IEEE Transactions on Signal Processing.

[17]  George K. Karagiannidis,et al.  Secure Multiple Amplify-and-Forward Relaying With Cochannel Interference , 2016, IEEE Journal of Selected Topics in Signal Processing.