Duality, achievable rates, and sum-rate capacity of Gaussian MIMO broadcast channels

被引：1136

作者：

Vishwanath, S ^{[1
]}

Jindal, N ^{[1
]}

Goldsmith, AG ^{[1
]}

机构：

[1] Stanford Univ, Dept Elect Engn, Stanford, CA 94305 USA

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2003年 / 49卷 / 10期

关键词：

broadcast channel (BC); channel capacity; dirty paper coding; duality; multiple-input multiple-output (MIMO) systems;

D O I：

10.1109/TIT.2003.817421

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider a multiuser multiple-input multiple-output (MIMO) Gaussian broadcast channel (BC), where the transmitter and receivers have multiple antennas. Since the MIMO BC is in general a nondegraded BC, its capacity region remains an unsolved problem. In this paper, we establish a duality between what is termed the "dirty paper" achievable region (the Caire-Shamai achievable region) for the MIMO BC and the capacity region of the MIMO multiple-access channel (MAC), which is easy to compute. Using this duality, we greatly reduce the computational complexity required for, obtaining the dirty paper achievable region for the MIMO BC. We also show that the dirty paper achievable region achieves the sum-rate capacity of the MIMO BC by establishing that the maximum sum rate of this region equals an upper bound on the sum rate of the MIMO BC.

引用

页码：2658 / 2668

页数：11

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