New space-time code constructions for two-user multiple access channels

Francis Lu*, Roope Vehkalahti, Camilla Hollanti, Jyrki Lahtonen, Yi Hong, Emanuele Viterbo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


This paper addresses the problem of constructing multiuser multiple-input multiple-output (MU-MIMO) codes for two users. The users are assumed to be equipped with nt transmit antennas, and there are nr antennas available at the receiving end. A general scheme is proposed and shown to achieve the optimal diversity-multiplexing gain tradeoff (DMT). Moreover, an explicit construction for the special case of nr=2 and n r=2 is given, based on the optimization of the code shape and density. All the proposed constructions are based on cyclic division algebras and their orders and take advantage of the multi-block structure. Computer simulations show that both the proposed schemes yield codes with excellent performance improving upon the best previously known codes. Finally, it is shown that the previously proposed design criteria for DMT optimal MU-MIMO codes are sufficient but in general too strict and impossible to fulfill. Relaxed alternative design criteria are then proposed and shown to be still sufficient for achieving the multiple-access channel diversity-multiplexing tradeoff.

Original languageEnglish
Article number5370674
Pages (from-to)939-957
Number of pages19
JournalIEEE Journal on Selected Topics in Signal Processing
Issue number6
StatePublished - Dec 2009


  • Cyclic division algebras (CDAs)
  • Diversity-multiplexing gain tradeoff (DMT)
  • Multiple access channel (MAC)
  • Multiple-input multiple-output (MIMO) channel
  • Space-Time block codes (STBCs)


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