The Capacity Region of the Two-Receiver Gaussian Vector Broadcast Channel With Private and Common Messages

被引:79
作者
Geng, Yanlin [1 ]
Nair, Chandra [1 ]
机构
[1] Chinese Univ Hong Kong, Dept Informat Engn, Hong Kong, Hong Kong, Peoples R China
关键词
Multiuser channels; channel capacity; Gaussian distribution optimality; WIRETAP CHANNEL; SECRECY CAPACITY; THEOREM;
D O I
10.1109/TIT.2014.2304457
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A novel method for establishing the optimality of Gaussian auxiliary random variables in multiterminal information theory problems is developed. This method is then employed to show that Marton's inner bound achieves the capacity region of the two-receiver Gaussian vector broadcast channel with private and common messages.
引用
收藏
页码:2087 / 2104
页数:18
相关论文
共 21 条
[1]  
[Anonymous], 2012, NETWORK INFORM THEOR
[2]   A CONVERSE TO SCHEFFE THEOREM [J].
BOOS, DD .
ANNALS OF STATISTICS, 1985, 13 (01) :423-427
[3]  
Bunt L., 1934, THESIS U GRONINGNE N
[4]   WRITING ON DIRTY PAPER [J].
COSTA, MHM .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1983, 29 (03) :439-441
[5]   BROADCAST CHANNELS [J].
COVER, TM .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1972, 18 (01) :2-+
[6]  
Csiszar I, 1982, Information Theory: Coding Theorems for Discrete Memoryless Systems
[7]  
Durrett R., 1996, PROBABILITY THEORY E
[8]   On Marton's Inner Bound and Its Optimality for Classes of Product Broadcast Channels [J].
Geng, Yanlin ;
Gohari, Amin ;
Nair, Chandra ;
Yu, Yuanming .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2014, 60 (01) :22-41
[9]   CHARACTERIZATION OF MULTIVARIATE NORMAL-DISTRIBUTION [J].
GHURYE, SG ;
OLKIN, I .
ANNALS OF MATHEMATICAL STATISTICS, 1962, 33 (02) :533-+
[10]   Convergence of differential entropies [J].
Godavarti, M ;
Hero, A .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2004, 50 (01) :171-176