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Construction of Minimum Euclidean Distance MIMO Precoders and Their Lattice Classifications

Kapetanovic, Dzevdan LU ; Rusek, Fredrik LU ; Abrudan, Traian E. and Koivunen, Visa (2012) In IEEE Transactions on Signal Processing 60(8). p.4470-4474
Abstract
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... (More)
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. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Lattice theory, MIMO, minimum Euclidean distance, precoding
in
IEEE Transactions on Signal Processing
volume
60
issue
8
pages
4470 - 4474
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • wos:000306517300046
  • scopus:84863926404
ISSN
1053-587X
DOI
10.1109/TSP.2012.2198819
language
English
LU publication?
yes
id
2d130fb2-54f5-454b-a383-93e90f5a5f5b (old id 2973174)
date added to LUP
2012-08-23 09:55:50
date last changed
2017-01-01 06:35:43
@article{2d130fb2-54f5-454b-a383-93e90f5a5f5b,
  abstract     = {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.},
  author       = {Kapetanovic, Dzevdan and Rusek, Fredrik and Abrudan, Traian E. and Koivunen, Visa},
  issn         = {1053-587X},
  keyword      = {Lattice theory,MIMO,minimum Euclidean distance,precoding},
  language     = {eng},
  number       = {8},
  pages        = {4470--4474},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Transactions on Signal Processing},
  title        = {Construction of Minimum Euclidean Distance MIMO Precoders and Their Lattice Classifications},
  url          = {http://dx.doi.org/10.1109/TSP.2012.2198819},
  volume       = {60},
  year         = {2012},
}