Code designs for MIMO broadcast channels

Momin Uppal, Vladimir Stankovic, Zixiang Xiong

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)
105 Downloads (Pure)


Recent information-theoretic results show the optimality of dirty-paper coding (DPC) in achieving the full capacity region of the Gaussian multiple-input multiple-output (MIMO) broadcast channel (BC). This paper presents a DPC based code design for BCs. We consider the case in which there is an individual rate/signal-to-interference-plus-noise ratio (SINR) constraint for each user. For a fixed transmitter power, we choose the linear transmit precoding matrix such that the SINRs at users are uniformly maximized, thus ensuring the best bit-error rate performance. We start with Cover's simplest two-user Gaussian BC and present a coding scheme that operates 1.44 dB from the boundary of the capacity region at the rate of one bit per real sample (b/s) for each user. We then extend the coding strategy to a two-user MIMO Gaussian BC with two transmit antennas at the base-station and develop the first limit-approaching code design using nested turbo codes for DPC. At the rate of 1 b/s for each user, our design operates 1.48 dB from the capacity region boundary. We also consider the performance of our scheme over a slow fading BC. For two transmit antennas, simulation results indicate a performance loss of only 1.4 dB, 1.64 dB and 1.99 dB from the theoretical limit in terms of the total transmission power for the two, three and four user case, respectively.
Original languageEnglish
Pages (from-to)986-996
Number of pages11
JournalIEEE Transactions on Communications
Issue number4
Publication statusPublished - 14 Apr 2009


  • Gaussian channels
  • MIMO communication
  • broadcast channels
  • channel capacity
  • channel coding
  • error statistics
  • fading channels
  • linear codes
  • matrix algebra
  • precoding
  • transmitting antennas


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