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Construction of Minimum Euclidean Distance MIMO Precoders and Their Lattice Classifications

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Author

  • Dzevdan Kapetanovic
  • Fredrik Rusek
  • Traian E. Abrudan
  • Visa Koivunen

Summary, in English

This correspondence deals with the construction of minimum Euclidean distance precoders for multiple-input multiple-output (MIMO) systems with up to four transmit antennas. By making use of a state-of-the-art technique for optimization over the unitary group, we can numerically optimize the MIMO precoders. The correspondence then proceeds by identifying the obtained precoders as well-known lattices (square, Z(2), Schlafli D-4, D-6, Gosset E-8). With three transmit antennas, the results are slightly different compared with other numbers of transmit antennas since the obtained precoder is not an instance of the densest 6-dimensional lattice. The overall conclusions of the correspondence are that the found precoders for MIMO transmission are highly structured and that, even with small constellations, lattice theory can be used for the design of MIMO precoders.

Publishing year

2012

Language

English

Pages

4470-4474

Publication/Series

IEEE Transactions on Signal Processing

Volume

60

Issue

8

Document type

Journal article

Publisher

IEEE - Institute of Electrical and Electronics Engineers Inc.

Topic

  • Electrical Engineering, Electronic Engineering, Information Engineering

Keywords

  • Lattice theory
  • MIMO
  • minimum Euclidean distance
  • precoding

Status

Published

ISBN/ISSN/Other

  • ISSN: 1053-587X