Constructions of multiblock space-time coding schemes that achieve the diversity-multiplexing tradeoff

Hsiao-Feng Lu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

Constructions of multiblock space-time coding schemes that are optimal with respect to diversity-multiplexing (D-M) tradeoff when coding is applied over any number of fading blocks are presented in this correspondence. The constructions are based on a left-regular representation of elements in some cyclic division algebra. In particular, the main construction applies to the case when the quasi-static fading interval equals the number of transmit antennas, hence the resulting scheme is termed a minimal delay multiblock space-time coding scheme. Constructions corresponding to the cases of nonminimal delay are also provided. As the number of coded blocks approaches infinity, coding schemes derived from the proposed constructions can be used to provide a reliable multiple-input multiple-output (MIMO) communication with vanishing error probability.

Original languageEnglish
Pages (from-to)3790-3796
Number of pages7
JournalIEEE Transactions on Information Theory
Volume54
Issue number8
DOIs
StatePublished - Aug 2008

Keywords

  • Cyclic-division algebras
  • Diversity-multiplexing (D-M) tradeoff
  • Fading channels
  • Multiblock space-time codes
  • Multiple-input multiple-output (MIMO) channels
  • Number fields
  • Space-time codes

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