Secure Degrees of Freedom of the Gaussian Z Channel with Single Antenna

This paper presents the secrecy capacity and the secure degrees of freedom of Gaussian Z channel with single antenna and confidential information. Firstly, we analysis the secrecy capacity and the upper bound of secure degrees of freedom of this channel in theory. Then, we respectively discuss the security pre-coding scheme for real Gaussian channel model and frequency selection channel model. Under the first model, through real interference alignment and cooperative jamming, we obtain the secrecy capacity and secure degrees of freedom, proving that it can reach the upper bound of secure degrees of freedom in theory. While, under the second one, a strong security pre-coding algorithm is proposed, which is based on the fact that sparse matrix has strong hash property. Next, we arrange interference with interference alignment and the receivers process their received signal through zero forcing algorithm. At last, the messages are reconstructed with maximum likelihood decoding, where it shows that the algorithm can asymptotically achieve the optimal secrecy capacity. Copyright © 2014 IFSA Publishing, S. L.