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The capacity region of the Gaussian multiple-input multiple-output broadcast channel (2006)
| Venue: | IEEE TRANS. INF. THEORY |
| Citations: | 339 - 6 self |
BibTeX
@ARTICLE{Weingarten06thecapacity,
author = {Hanan Weingarten and Yossef Steinberg and Shlomo Shamai (Shitz)},
title = {The capacity region of the Gaussian multiple-input multiple-output broadcast channel},
journal = {IEEE TRANS. INF. THEORY},
year = {2006},
volume = {52},
number = {9},
pages = {3929--3964}
}
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Abstract
The Gaussian multiple-input multiple-output (MIMO) broadcast channel (BC) is considered. The dirty-paper coding (DPC) rate region is shown to coincide with the capacity region. To that end, a new notion of an enhanced broadcast channel is introduced and is used jointly with the entropy power inequality, to show that a superposition of Gaussian codes is optimal for the degraded vector broadcast channel and that DPC is optimal for the nondegraded case. Furthermore, the capacity region is characterized under a wide range of input constraints, accounting, as special cases, for the total power and the per-antenna power constraints.
Keyphrases
capacity region gaussian multiple-input multiple-output broadcast channel degraded vector broadcast channel new notion enhanced broadcast channel entropy power inequality gaussian code dirty-paper coding per-antenna power constraint total power nondegraded case wide range input constraint broadcast channel special case rate region gaussian multiple-input multiple-output
