Outage constrained secrecy rate maximization using cooperative jamming

We consider a Gaussian MISO wiretap channel, where a multi-antenna source communicates with a single-antenna destination in the presence of a single-antenna eavesdropper. The communication is assisted by multi-antenna helpers that act as jammers to the eavesdropper. Each helper independently transmits noise, which lies in the null space of the helper-destination channel, thus creating no interference to the destination. Under source-eavesdropper channel uncertainty, we derive the optimal source covariance matrix that maximizes the secrecy rate subject to probability of outage and power constraints. Further, for the case in which the helper-eavesdropper channels follow a zero-mean Gaussian model with known covariances, we derive the outage probability in a closed form. Simulation results in support of the analysis are provided.

[1]  Gregory W. Wornell,et al.  Secure Transmission With Multiple Antennas—Part II: The MIMOME Wiretap Channel , 2010, IEEE Transactions on Information Theory.

[2]  Ender Tekin,et al.  The General Gaussian Multiple-Access and Two-Way Wiretap Channels: Achievable Rates and Cooperative Jamming , 2007, IEEE Transactions on Information Theory.

[3]  A. D. Wyner,et al.  The wire-tap channel , 1975, The Bell System Technical Journal.

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

[5]  Athina P. Petropulu,et al.  Optimal input covariance for achieving secrecy capacity in Gaussian MIMO wiretap channels , 2010, 2010 IEEE International Conference on Acoustics, Speech and Signal Processing.

[6]  Athina P. Petropulu,et al.  Secrecy rate optimization under cooperation with perfect channel state information , 2009, 2009 Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers.

[7]  Zhu Han,et al.  Cooperative jamming for wireless physical layer security , 2009, 2009 IEEE/SP 15th Workshop on Statistical Signal Processing.

[8]  Qiang Li,et al.  Safe convex approximation to outage-based MISO secrecy rate optimization under imperfect CSI and with artificial noise , 2011, 2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR).

[9]  Shlomo Shamai,et al.  A Note on the Secrecy Capacity of the Multiple-Antenna Wiretap Channel , 2007, IEEE Transactions on Information Theory.

[10]  Dan Raphaeli,et al.  Series expansions for the distribution of noncentral indefinite quadratic forms in complex normal variables , 1995 .

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

[12]  Frédérique E. Oggier,et al.  The secrecy capacity of the MIMO wiretap channel , 2007, 2008 IEEE International Symposium on Information Theory.

[13]  Gregory W. Wornell,et al.  Secure Transmission With Multiple Antennas I: The MISOME Wiretap Channel , 2010, IEEE Transactions on Information Theory.

[14]  Shlomo Shamai,et al.  An MMSE Approach to the Secrecy Capacity of the MIMO Gaussian Wiretap Channel , 2009, 2009 IEEE International Symposium on Information Theory.

[15]  Candice King,et al.  Fundamentals of wireless communications , 2013, 2013 IEEE Rural Electric Power Conference (REPC).

[16]  Lizhong Zheng,et al.  Diversity and multiplexing: a fundamental tradeoff in multiple-antenna channels , 2003, IEEE Trans. Inf. Theory.