Curves on Flat Tori and Analog Source-Channel Codes
Information Theory
2016-11-15 v3 math.IT
Abstract
In this paper we consider the problem of transmitting a continuous alphabet discrete-time source over an AWGN channel. We propose a constructive scheme based on a set of curves on the surface of a N-dimensional sphere. Our approach shows that the design of good codes for this communication problem is related to geometrical properties of spherical codes and projections of N-dimensional rectangular lattices. Theoretical comparisons with some previous works in terms of the mean square error as a function of the channel SNR as well as simulations are provided.
Cite
@article{arxiv.1302.4706,
title = {Curves on Flat Tori and Analog Source-Channel Codes},
author = {Antonio Campello and Cristiano Torezzan and Sueli I. R. Costa},
journal= {arXiv preprint arXiv:1302.4706},
year = {2016}
}
Comments
15 pages, 6 figures. Accepted for publication IEEE Trans. Inf. Theory. arXiv admin note: substantial text overlap with arXiv:1202.2111