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—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.

—We explore in this letter the lattice sphere packing representation of a multi-antenna system and the algebraic space–time (ST) codes. We apply the sphere decoding (SD) algorithm to the resulted lattice code. For the uncoded system, SD yields, with small increase in complexity, a huge improvement over the well-known V-BLAST detection algorithm. SD of… (More)

- Jean-Claude Belfiore, Ghaya Rekaya, Emanuele Viterbo
- 2001

— In this paper, we present the Golden code for a 2×2 MIMO system. This is a full-rate 2×2 linear dispersion algebraic space-time code with unprecedented performance based on the Golden number 1+ √ 5 2 .

How to find a cooperative diversity scheme that achieves the transmit diversity bound is still an open problem. In fact, all previously proposed amplify-and-forward (AF) and decode-and-forward (DF) schemes do not improve with the number of relays in terms of the diversity-multiplexing tradeoff (DMT) for multiplexing gains r higher than 0.5. In this work, we… (More)

—We construct a full data rate space–time (ST) block code over = 2 transmit antennas and = 2 symbol periods, and we prove that it achieves a transmit diversity of 2 over all constellations carved from [ ]. Further, we optimize the coding gain of the proposed code and then compare it to the Alamouti code. It is shown that the new code outper-forms the… (More)

— We construct a new family of linear space-time block codes by the combination of rotated constellations and the Hadamard transform, and we prove them to achieve the full transmit diversity over a quasi-static or fast fading channels. The proposed codes transmit at a normalized rate of 1 symbol/sec. When the number of transmit antennae n = 1, 2 or n is a… (More)

—A unified framework is presented in order to build lattice constellations matched to both the Rayleigh fading channel and the Gaussian channel. The method encompasses the situations where the interleaving is done on the real components or on two-dimensional signals. In the latter case, a simple construction of lattices congruent to the densest binary… (More)

In this work, we extend the non-orthogonal amplify-and-forward (NAF) cooperative diversity scheme to the MIMO channel. A family of space-time block codes for a half-duplex MIMO NAF fading cooperative channel with N relays is constructed. The code construction is based on the non-vanishing determinant (NVD) criterion and is shown to achieve the optimal… (More)