On the capacity of multiple input multiple output broadcast channels

Sriram Vishwanath, Nihar Jindal, Andrea Goldsmith

Research output: Contribution to journalConference articlepeer-review

101 Scopus citations


We consider a multi-user multiple input multiple output (MIMO) Gaussian broadcast channel (BC), where the transmitter and receivers have multiple antennas. Since the MIMO broadcast channel is in general a non-degraded broadcast channel, 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 broadcast channel 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. The duality also enables us to translate previously known results for the MIMO MAC to 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.

Original languageEnglish (US)
Pages (from-to)1444-1450
Number of pages7
JournalIEEE International Conference on Communications
StatePublished - 2002
Externally publishedYes
Event2002 International Conference on Communications (ICC 2002) - New York, NY, United States
Duration: Apr 28 2002May 2 2002

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Electrical and Electronic Engineering


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