The Capacity Region of the Gaussian Multiple-Input Multiple-Output Broadcast Channel

  • Authors:
  • H. Weingarten;Y. Steinberg;S. Shamai

  • Affiliations:
  • Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa;-;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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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