Ghaya Rekaya
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Featured researches published by Ghaya Rekaya.
IEEE Transactions on Information Theory | 2005
Jean-Claude Belfiore; Ghaya Rekaya; Emanuele Viterbo
In this paper, the Golden code for a 2/spl times/2 multiple-input multiple-output (MIMO) system is presented. This is a full-rate 2/spl times/2 linear dispersion algebraic space-time code with unprecedented performance based on the Golden number 1+/spl radic/5/2.
international symposium on information theory | 2004
Jean-Claude Belfiore; Ghaya Rekaya; Emanuele Viterbo
In this paper we present the Golden code for a 2times2 MIMO system. This is a full-rate 2times2 linear dispersion algebraic space-time code with unprecedented performance based on the Golden number 1+radic5/2
IEEE Transactions on Information Theory | 2006
Frédérique E. Oggier; Ghaya Rekaya; Jean-Claude Belfiore; Emanuele Viterbo
In this paper, we introduce the notion of perfect space-time block codes (STBCs). These codes have full-rate, full-diversity, nonvanishing constant minimum determinant for increasing spectral efficiency, uniform average transmitted energy per antenna and good shaping. We present algebraic constructions of perfect STBCs for 2, 3, 4, and 6 antennas
information theory workshop | 2003
Jean-Claude Belfiore; Ghaya Rekaya
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).
international symposium on information theory | 2006
Sheng Yang; Jean-Claude Belfiore; Ghaya Rekaya; Ben Othman
The problem of designing space-time codes on the MIMO quasi-static channel have received considerable attention these last years. We now know how to design perfect space-time block codes, that is linear information preserving codes achieving the diversity-multiplexing gain (D-M) tradeoff (F. Oggier et al., 2004) (P. Elia et al., 2005). Recent standards using multiple antennas terminals such as IEEE 802.11n or IEEE 802.16e, for example, are based on OFDM. By using interleaving, such OFDM systems can be seen as parallel MIMO quasi-static channels. We propose, here, new perfect space-time block codes for parallel MIMO channels
european conference and exhibition on optical communications | 2012
Pierre Delesques; Elie Awwad; Sami Mumtaz; Gwillerm Froc; Philippe Ciblat; Yves Jaouën; Ghaya Rekaya; Cédric Ware
Considering coherent optical transmissions with PDL disturbance, we evaluate how far from the fundamental limit (based on the outage probability) are conventional coding schemes using Polarization-Time codes and/or LDPC codes.
asilomar conference on signals, systems and computers | 2007
Jean-Claude Belfiore; Maya Badr; Sheng Yang; Ghaya Rekaya
The multiple access channel without channel side information at the transmitters is considered here. We propose a family of short distributed structured space-time codes able to achieve the Diversity-Multiplexing gain tradeoff of such a channel.
Archive | 2004
Ghaya Rekaya; Jean-Claude Belfiore; Emanuele Viterbo
Archive | 2004
Ghaya Rekaya; Jean-Claude Belfiore; Emanuele Viterbo
Advanced Photonics 2017 (IPR, NOMA, Sensors, Networks, SPPCom, PS) (2017), paper SpM4F.3 | 2017
Amhoud El Mehdi; Ghaya Rekaya; Yves Jaouën