On the Secrecy Degrees of Freedom of the Multiantenna Block Fading Wiretap Channels

Mari Kobayashi (1) , Pablo Piantanida (1) , Sheng Yang (1) , Shlomo Shamai (2)

1 E3S - Supélec Sciences des Systèmes
2 Technion - Israel Institute of Technology [Haifa]

We consider a practical scenario of the Gaussian multiantenna wiretap channel where a transmitter with no channel state information wishes to send a confidential message to its legitimate receiver in the presence of an eavesdropper. It has been known that the secrecy capacity of such a channel does not scale with signal-to-noise ratio under general conditions. Taking into account the different temporal fading structures at the legitimate receiver and the eavesdropper, we characterize lower and upper bounds on the secrecy degrees of freedom (s.d.o.f.) of the channel at hand. Our results show that a positive s.d.o.f. can be ensured whenever two receivers experience the asynchronous variation. Remarkably, simple linear precoding schemes provide the optimal s.d.o.f. in most cases of interest by aligning either the confidential signal at the eavesdropper or the artificial noise at the legitimate receiver.

Domains: Mathematics [math]; Information Theory [math.IT]; Computer Science [cs]; Information Theory [cs.IT]

Mari Kobayashi, Pablo Piantanida, Sheng Yang, Shlomo Shamai. On the Secrecy Degrees of Freedom of the Multiantenna Block Fading Wiretap Channels. IEEE Transactions on Information Forensics and Security, 2011, 6 (3), pp. 703-711. ⟨10.1109/TIFS.2011.2159376⟩. ⟨hal-00631880⟩