The Capacity Region of the Gaussian Multiple-Input Multiple-Output Broadcast Channel
Weingarten, H.
Steinberg, Y.
Shamai, S.
Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa;
This paper appears in: Information Theory, IEEE Transactions on
Publication Date: Sept. 2006
Volume: 52,
Issue: 9
On page(s): 3936-3964
ISSN: 0018-9448
INSPEC Accession Number: 9080723
Digital Object Identifier: 10.1109/TIT.2006.880064
Current Version Published: 2006-08-28
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
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