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— Full diversity signal constellations for any numbers of transmitter antennas and for any orders which are constructed from 2 × 2 Hamiltonian matrices are investigated in this paper. The diversity product of a 2 × 2 Hamiltonian constellation equals one half of the Euclidean distance between two points in C 2. By considering the transformation from R 4 to C… (More)

In this paper, we propose new full diversity unitary space-time codes based on Hamiltonian constellation designs. Our proposed constellations can be used for any number of antennas and for any data rate. For two transmitter antennas, the constellations are constructed from cyclic group codes. For a larger number of transmitter antennas, the design employs… (More)

This paper presents a construction of Slepian group codes from affine reflection groups. The solution to the initial vector and nearest distance problem is presented for all irreducible affine reflection groups of rank n ≥ 2, for varying stabilizer subgroups. Moreover, we use a detailed analysis of the geometry of affine reflection groups to produce an… (More)

We present a closed form upper bound for the average pairwise error probabilities (PEP) of space-time codes for a keyhole channel. It is derived from the exact conditional PEP for given fading channel coefficients, using a moment generating function-based approach. We include simulation results for varying numbers of antennas which affirm that the proposed… (More)

A full diversity constellation, that is, a set of unitary matrices whose differences have nonzero determinant, is a design criterion for codes with good performance using differential unitary space-time modulation. Recently, fixed-point free groups and the infinite group SU (2) have been used to produce full diversity unitary group constellations. In this… (More)

Diversity sum, which is calculated from the Frobenius norm of the difference of two distinct elements in a signal constellation, is the significant parameter to predict a unitary group constellation having a good performance in low SNR. In this paper, we propose a method to compute the diversity sum of a unitary group constellation using a character table.… (More)

In this paper we demonstrate a new and original way to apply the representation theory of finite groups to the development of space-time codes for use in multiple antenna wireless communications. We include a summary of the relevant mathematical model for wireless communications on a multiple-antenna environment. We apply our construction with two examples… (More)

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