Secured communication over frequency-selective fading channels: a practical vandermonde precoding
EURASIP Journal on Wireless Communications and Networking - Special issue on wireless physical layer security
A vector generalization of Costa entropy-power inequality and applications
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 1
Gaussian MIMO multi-receiver wiretap channel
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
A vector generalization of costa's entropy-power inequality with applications
IEEE Transactions on Information Theory
Cooperation with an untrusted relay: a secrecy perspective
IEEE Transactions on Information Theory
Control of wireless networks with secrecy
IEEE/ACM Transactions on Networking (TON)
| Hi-index | 754.96 |
In this paper, we consider the Gaussian multiple-input multiple-output (MIMO) multi-receiver wiretap channel in which a transmitter wants to have confidential communication with an arbitrary number of users in the presence of an external eavesdropper. We derive the secrecy capacity region of this channel for the most general case. We first show that even for the single-input single-output (SISO) case, existing converse techniques for the Gaussian scalar broadcast channel cannot be extended to this secrecy context, to emphasize the need for a new proof technique. Our new proof technique makes use of the relationships between the minimum-mean-square-error and the mutual information, and equivalently, the relationships between the Fisher information and the differential entropy. Using the intuition gained from the converse proof of the SISO channel, we first prove the secrecy capacity region of the degraded MIMO channel, in which all receivers have the same number of antennas, and the noise covariance matrices can be arranged according to a positive semi-definite order. We then generalize this result to the aligned case, in which all receivers have the same number of antennas; however, there is no order among the noise covariance matrices. We accomplish this task by using the channel enhancement technique. Finally, we find the secrecy capacity region of the general MIMO channel by using some limiting arguments on the secrecy capacity region of the aligned MIMO channel. We show that the capacity achieving coding scheme is a variant of dirty-paper coding with Gaussian signals.