Lattice coding for Rician fading channels from Hadamard rotations
Information Theory
2017-01-27 v1 math.IT
Abstract
In this paper, we study lattice coding for Rician fading wireless channels. This is motivated in particular by preliminary studies suggesting the Rician fading model for millimeter-wavelength wireless communications. We restrict to lattice codes arising from rotations of , and to a single-input single-output (SISO) channel. We observe that several lattice design criteria suggest the optimality of Hadamard rotations. For instance, we prove that Hadamard rotations maximize the diamond-packing density among all rotated lattices. Finally, we provide simulations to show that Hadamard rotations outperform optimal algebraic rotations and cross-packing lattices in the Rician channel.
Keywords
Cite
@article{arxiv.1701.07605,
title = {Lattice coding for Rician fading channels from Hadamard rotations},
author = {Alex Karrila and Niko R. Väisänen and David Karpuk and Camilla Hollanti},
journal= {arXiv preprint arXiv:1701.07605},
year = {2017}
}