The Secrecy Capacity Region of the Degraded Vector Gaussian Broadcast Channel

被引:4
作者
Bagherikaram, Ghadamali [1 ]
Motahari, Abolfazl S. [1 ]
Khandani, Amir K. [1 ]
机构
[1] Univ Waterloo, Dept Elect & Comp Engn, Coding & Signal Transmiss Lab, Waterloo, ON N2L 3G1, Canada
来源
2009 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, VOLS 1- 4 | 2009年
关键词
WIRE-TAP CHANNEL;
D O I
10.1109/ISIT.2009.5205815
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
080906 [电磁信息功能材料与结构]; 082806 [农业信息与电气工程];
摘要
In this paper, we consider a scenario where a source node wishes to broadcast two confidential messages for two respective receivers via a Gaussian MIMO broadcast channel. A wire-tapper also receives the transmitted signal via another MIMO channel. It is assumed that the channels are degraded and the wire-tapper has the worst channel. We establish the capacity region of this scenario. Our achievability scheme is a combination of the superposition of Gaussian codes and randomization within the layers which we will refer to as Secret Superposition Coding. For the outerbound, we use the notion of enhanced channel to show that the secret superposition of Gaussian codes is optimal. It is shown that we only need to enhance the channels of the legitimate receivers, and the channel of the eavesdropper remains unchanged.
引用
收藏
页码:2772 / 2776
页数:5
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