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Geometrical and numerical design of structured unitary space-time constellations


Han, G; Rosenthal, J (2006). Geometrical and numerical design of structured unitary space-time constellations. IEEE Transactions on Information Theory, 52(8):3722-3735.

Abstract

There exist two important design criteria for unitary space time codes. In the situation where the signal-to-noise ratio (SNR) is large the diversity product (DP) of a constellation should be as large as possible. It is less known that the diversity sum (DS) is a very important design criterion for codes working in a low SNR environment. So far, no general method to design good-performing constellations with large diversity for any number of transmit antennas and any transmission rate exists. In this correspondence, we propose constellations with suitable structures, which allow one to construct codes with excellent diversity using geometrical symmetry and numerical methods. The presented design methods work for any dimensional constellation and for any transmission rate

Abstract

There exist two important design criteria for unitary space time codes. In the situation where the signal-to-noise ratio (SNR) is large the diversity product (DP) of a constellation should be as large as possible. It is less known that the diversity sum (DS) is a very important design criterion for codes working in a low SNR environment. So far, no general method to design good-performing constellations with large diversity for any number of transmit antennas and any transmission rate exists. In this correspondence, we propose constellations with suitable structures, which allow one to construct codes with excellent diversity using geometrical symmetry and numerical methods. The presented design methods work for any dimensional constellation and for any transmission rate

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:diversity product diversity sum geometrical symmetry numerical methods space time codes structured unitary constellation transmitting antennas
Language:English
Date:2006
Deposited On:11 Jan 2010 16:06
Last Modified:05 Apr 2016 13:24
Publisher:IEEE
ISSN:0018-9448
Publisher DOI:https://doi.org/10.1109/TIT.2006.878107
Related URLs:http://arxiv.org/abs/math/0312170

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