Construction of Minimum Euclidean Distance MIMO Precoders and Their Lattice Classifications
(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:
https://lup.lub.lu.se/record/2973174
- author
- Kapetanovic, Dzevdan LU ; Rusek, Fredrik LU ; Abrudan, Traian E. and Koivunen, Visa
- organization
- publishing date
- 2012
- 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
- 2016-04-01 15:05:28
- date last changed
- 2022-02-19 22:26:20
@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}}, keywords = {{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}}, doi = {{10.1109/TSP.2012.2198819}}, volume = {{60}}, year = {{2012}}, }