Multilevel constructions: coding, packing and geometric uniformity
Information Theory
2019-06-10 v2 math.IT
Abstract
Lattice and special nonlattice multilevel constellations constructed from binary codes, such as Constructions A, C, and D, have relevant applications in Mathematics (sphere packing) and in Communication (multi-stage decoding and efficient vector quantization). In this work, we explore some properties of Construction C, in particular its geometric uniformity. We then propose a new multilevel construction, inspired by bit interleaved coded modulation (BICM), that we call Construction C*. We investigate the geometric uniformity, laticeness, and minimum distance properties of Construction C* and discuss its superior packing efficiency when compared to Construction C.
Cite
@article{arxiv.1806.05715,
title = {Multilevel constructions: coding, packing and geometric uniformity},
author = {Maiara Francine Bollauf and Ram Zamir and Sueli Irene Rodrigues Costa},
journal= {arXiv preprint arXiv:1806.05715},
year = {2019}
}