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Dive into the research topics where Ghaya Rekaya is active.

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Featured researches published by Ghaya Rekaya.


IEEE Transactions on Information Theory | 2005

The golden code: a 2/spl times/2 full-rate space-time code with nonvanishing determinants

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

The golden code: a 2 x 2 full-rate space-time code with non-vanishing determinants

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

Perfect Space–Time Block Codes

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

Quaternionic lattices for space-time coding

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

Perfect Space-Time Block Codes for parallel MIMO channels

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

Mitigation of PDL in coherent optical communications: How close to the fundamental limit?

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

DMT achieving Distributed Space Time Codes for the Multiple Access Channel

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

Algebraic 3 3, 4 4 and 6 6 Space-Time Codes with non-vanishing Determinants

Ghaya Rekaya; Jean-Claude Belfiore; Emanuele Viterbo


Archive | 2004

A Very Efficient Lattice Reduction Tool on Fast Fading Channels

Ghaya Rekaya; Jean-Claude Belfiore; Emanuele Viterbo


Advanced Photonics 2017 (IPR, NOMA, Sensors, Networks, SPPCom, PS) (2017), paper SpM4F.3 | 2017

Combined Polarization- and Mode-Dependent Loss Effects on Few-Mode Fibers systems

Amhoud El Mehdi; Ghaya Rekaya; Yves Jaouën

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Yves Jaouën

Université Paris-Saclay

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Cédric Ware

Université Paris-Saclay

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