The Capacity Region of the Gaussian Multiple-Input Multiple-Output Broadcast Channel
Weingarten, H.; Steinberg, Y.; Shamai, S.
Information Theory, IEEE Transactions on
Volume 52, Issue 9, Sept. 2006 Page(s):3936 - 3964
Digital Object Identifier   10.1109/TIT.2006.880064
Summary: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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