MIMO Wiretap Channels with Arbitrarily Varying Eavesdropper Channel States
arXiv:1007.4801
Abstract
In this work, a class of information theoretic secrecy problems is addressed where the eavesdropper channel states are completely unknown to the legitimate parties. In particular, MIMO wiretap channel models are considered where the channel of the eavesdropper is arbitrarily varying over time. Assuming that the number of antennas of the eavesdropper is limited, the secrecy rate of the MIMO wiretap channel in the sense of strong secrecy is derived, and shown to match with the converse in secure degrees of freedom. It is proved that there exists a universal coding scheme that secures the confidential message against any sequence of channel states experienced by the eavesdropper. This yields the conclusion that secure communication is possible regardless of the location or channel states of (potentially infinite number of) eavesdroppers. Additionally, it is observed that, the present setting renders the secrecy capacity problems for multi-terminal wiretap-type channels more tractable as compared the case with full or partial knowledge of eavesdropper channel states. To demonstrate this observation, secure degrees of freedom regions are derived for the Gaussian MIMO multiple access wiretap channel (MIMO MAC-WT) and the Gaussian MIMO broadcast wiretap channel (MIMO BC-WT) where the transmitter(s) and the intended receiver(s) have the same number of antennas.
Submitted to IEEE Transactions on Information Theory, July 2010
References in corpus (4)
- Secure Transmission with Multiple Antennas II: The MIMOME Wiretap Channel
- Discrete Memoryless Interference and Broadcast Channels with Confidential Messages: Secrecy Rate Regions
- Cooperation with an Untrusted Relay: A Secrecy Perspective
- MIMO Gaussian Broadcast Channels with Confidential and Common Messages
Cited by in corpus (12)
- Principles of Physical Layer Security in Multiuser Wireless Networks: A Survey
- Cooperative Jamming for Secure Communications in MIMO Relay Networks
- Secure Degrees of Freedom of One-hop Wireless Networks
- Wireless Physical Layer Security with Imperfect Channel State Information: A Survey
- Secure Degrees of Freedom of Wireless X Networks Using Artificial Noise Alignment
- MIMO Broadcast Channel with an Unknown Eavesdropper: Secrecy Degrees of Freedom
- Secure Degrees of Freedom of the MIMO Multiple Access Channel with Multiple unknown Eavesdroppers
- Strong Secrecy from Channel Resolvability
- Blind MIMOME Wiretap Channel with Delayed CSIT
- MIMO Multiple Access Channel with an Arbitrarily Varying Eavesdropper
- Secure Degrees of Freedom of the Gaussian MIMO Wiretap and MIMO Broadcast Channels with Unknown Eavesdroppers
- Achievable Secrecy Rates over MIMOME Gaussian Channels with GMM Signals in Low-Noise Regime