Curves on torus layers and coding for continuous alphabet sources
Information Theory
2016-11-15 v3 Differential Geometry
math.IT
Abstract
In this paper we consider the problem of transmitting a continuous alphabet discrete-time source over an AWGN channel. The design of good curves for this purpose relies on geometrical properties of spherical codes and projections of -dimensional lattices. We propose a constructive scheme based on a set of curves on the surface of a 2N-dimensional sphere and present comparisons with some previous works.
Keywords
Cite
@article{arxiv.1202.2111,
title = {Curves on torus layers and coding for continuous alphabet sources},
author = {Antonio Campello and Cristiano Torezzan and Sueli I. R. Costa},
journal= {arXiv preprint arXiv:1202.2111},
year = {2016}
}
Comments
5 pages, 4 figures. Accepted for presentation at 2012 IEEE International Symposium on Information Theory (ISIT). 2th version: typos corrected. 3rd version: some typos corrected, a footnote added in Section III B, a comment added in the beggining of Section V and Theorem I added