Finite size effects and error-free communication in Gaussian channels
Disordered Systems and Neural Networks
2009-10-31 v1
Abstract
The efficacy of a specially constructed Gallager-type error-correcting code to communication in a Gaussian channel is being examined. The construction is based on the introduction of complex matrices, used in both encoding and decoding, which comprise sub-matrices of cascading connection values. The finite size effects are estimated for comparing the results to the bounds set by Shannon. The critical noise level achieved for certain code-rates and infinitely large systems nearly saturates the bounds set by Shannon even when the connectivity used is low.
Cite
@article{arxiv.cond-mat/9907424,
title = {Finite size effects and error-free communication in Gaussian channels},
author = {Ido Kanter and David Saad},
journal= {arXiv preprint arXiv:cond-mat/9907424},
year = {2009}
}