Robust Secure Transmission in MISO Channels with Imperfect ECSI

This paper studies robust transmission schemes for MISO wiretap channels with imperfect channel state information (CSI) for the eavesdropper link. Both the cases of direct transmission and cooperative jamming with a helper are investigated. The error in the eavesdropper's CSI is assumed to be norm-bounded, and robust transmit covariance matrices are obtained based on worst-case secrecy rate maximization, under both individual and global power constraints. Numerical results show the advantage of the proposed robust design. In particular, under a global power constraint, although cooperative jamming is not necessary for optimal transmission with perfect eavesdropper's CSI, we show that robust jamming support can increase the secrecy rate in the presence of channel mismatch.

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

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

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

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

[5]  Sennur Ulukus,et al.  Achievable Rates in Gaussian MISO Channels with Secrecy Constraints , 2007, 2007 IEEE International Symposium on Information Theory.

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

[7]  T. Markham,et al.  A Generalization of the Schur Complement by Means of the Moore–Penrose Inverse , 1974 .

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

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

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

[11]  Eduard A. Jorswieck.  Secrecy capacity of single- and multi-antenna channels with simple helpers , 2010, 2010 International ITG Conference on Source and Channel Coding (SCC).

[12]  D. Palomar.  Convex primal decomposition for multicarrier linear MIMO transceivers , 2005, IEEE Transactions on Signal Processing.

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

[14]  Henry Wolkowicz,et al.  Indefinite Trust Region Subproblems and Nonsymmetric Eigenvalue Perturbations , 1995, SIAM J. Optim..

[15]  A. Lee Swindlehurst,et al.  Robust Beamforming for Security in MIMO Wiretap Channels With Imperfect CSI , 2010, IEEE Transactions on Signal Processing.