Proceedings ArticleDOI
Quaternionic lattices for space-time coding
Jean-Claude Belfiore,G. Rekaya +1 more
- pp 267-270
TLDR
An algebraic framework for studying coherent space-time codes, based on arithmetic lattices on central simple algebras, is proposed, which is called a quaternion algebra for two transmit antennas and these lattices are called quaternionic lattices.Abstract:
We propose an algebraic framework for studying coherent space-time codes, based on arithmetic lattices on central simple algebras. For two transmit antennas, this algebra is called a quaternion algebra. For this reason, we call these lattices quaternionic lattices. The design criterion is the one described by V. Tarokh et al. (see IEEE Trans. Inf. Theory, vol.44, p.744-65, 1998).read more
Citations
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Journal ArticleDOI
The golden code: a 2/spl times/2 full-rate space-time code with nonvanishing determinants
TL;DR: In this article, the Golden code for a 2/spl times/2 multiple-input multiple-output (MIMO) system is presented, where the Golden number 1+/spl radic/5/2 is used.
Proceedings ArticleDOI
The golden code: a 2 x 2 full-rate space-time code with non-vanishing determinants
TL;DR: This is a full-rate 2times2 linear dispersion algebraic space-time code with unprecedented performance based on the Golden number 1+radic5/2.
Journal ArticleDOI
Perfect Space–Time Block Codes
TL;DR: The notion of perfect space-time block codes (STBCs) are introduced and algebraic constructions of perfect STBCs for 2, 3, 4, and 6 antennas are presented.
Proceedings ArticleDOI
Performance Bounds for Bi-Directional Coded Cooperation Protocols
TL;DR: This correspondence derives performance bounds for this problem for each of three decode-and-forward protocols for coded bidirectional cooperation and finds that in some cases, the achievable rate region of the four phase protocol contains points that are outside the outer bounds of the other two protocols.
Journal ArticleDOI
Optimal Space–Time Codes for the MIMO Amplify-and-Forward Cooperative Channel
Sheng Yang,Jean-Claude Belfiore +1 more
TL;DR: This work extends the nonorthogonal amplify-and-forward (NAF) cooperative diversity scheme to the multiple-input multiple-output (MIMO) channel and proves that the Golden code and the 4times4 Perfect code are optimal for the single-antenna and two-Antenna cases, respectively.
References
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