The Secrecy Capacity Region of the Gaussian MIMO Broadcast Channel

被引：25

作者：

Bagherikaram, Ghadamali ^{[1
]}

Motahari, Abolfazl Seyed ^{[2
]}

Khandani, Amir Keyvan ^{[3
]}

机构：

[1] Teradata Co, Mississauga, ON L4V 1R8, Canada

[2] Univ Calif Berkeley, Dept Elect Engn & Comp Sci, Berkeley, CA 94720 USA

[3] Univ Waterloo, Dept Elect & Comp Engn, Waterloo, ON N2L 3G1, Canada

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2013年 / 59卷 / 05期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Dirty paper coding; entropy power inequality (EPI); multiple-input multiple-output (MIMO) broadcast channel (BC); secrecy capacity region; wiretap channel; WIRE-TAP CHANNEL; CONFIDENTIAL MESSAGES; INEQUALITY;

D O I：

10.1109/TIT.2012.2236972

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

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 multiple-input multiple-output (MIMO) broadcast channel. An eavesdropper also receives the transmitted signal via another MIMO channel. We first consider the discrete memoryless channel and obtain the capacity region of the degraded channel. The secret dirty paper coding (SDPC) region as an achievable rate region for the general discrete channel is introduced. Relying on the results for the discrete channel, we fully characterize the secrecy capacity region of MIMO broadcast channel. It is shown that the SDPC scheme is optimal. The converse part of the proof relies on the generalized Costa's entropy power inequality and a new channel enhancement strategy in which we only need to enhance the channels of the legitimate receivers, and the channel of the eavesdropper remains unchanged.

引用

页码：2673 / 2682

页数：10

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