Optimal diversity-multiplexing tradeoff and code constructions of some constrained asymmetric MIMO systems

Hsiao Feng Lu*, Camilla Hollanti

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

12 Citations (Scopus)

Abstract

In multiple-inputmultiple-output (MIMO) communications, the notion of asymmetric channel refers to the situation when the number of transmit antennas is strictly larger than the number of receive antennas. Such channels can often be found in MIMO downlink transmissions. While existing cyclic-division-algebra (CDA)-based codes can still be employed to achieve the optimal diversitymultiplexing tradeoff (DMT) at high signal-to-noise ratio (SNR) regime, such codes cannot be directly decoded using, for example, the pure sphere decoding method. Although other means of decoding methods such as minimum mean square error generalized decision feedback equalizer (MMSE-GDFE) with lattice search and regularized lattice decoding are available, an alternative approach is to constrain the number of active transmit antennas in each channel use to be no larger than the number of receive antennas. The resulting system is coined constrained asymmetric MIMO system. Two general types of asymmetrical channels are considered in this paper, namely, 1) when there are two receive antennas and the number of transmit antennas is arbitrary, and 2) when the number of transmit antennas is one larger than the number of receive antennas. Explicit optimal transmission schemes as well as the corresponding code constructions for such constrained asymmetric MIMO channels are presented, and are shown to achieve the same DMT performance as their unconstrained counterparts.

Original languageEnglish
Article number9
Pages (from-to)2121-2129
Number of pages9
JournalIEEE Transactions on Information Theory
Volume56
Issue number5
DOIs
Publication statusPublished - May 2010
MoE publication typeA1 Journal article-refereed

Keywords

  • Constrained asymmetric multiple-input-multiple-output (MIMO) channels
  • Cyclic-division algebra
  • Diversity-multiplexing tradeoff
  • Space-time codes.
  • Transmit antenna selection schemes

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