Reed-Muller Lattice Coding for the Rayleigh Block Fading Channel
Résumé
In this paper, we propose a multilevel lattice construction, employing binary Reed-Muller codes, for the Rayleigh block fading channel. The construction is performed on a binary two-dimensional lattice partition chain, and a capacity-achieving code is used for each stage. The lattice construction based on number-theoretical con- cepts is explained, and the system's performance is shown for various codeword lengths.