Extremality Properties for the Basic Polarization Transformations
Information Theory
2013-01-23 v1 math.IT
Abstract
We study the extremality of the BEC and the BSC for Gallager's reliability function evaluated under the uniform input distribution for binary input DMCs from the aspect of channel polarization. In particular, we show that amongst all B-DMCs of a given value, for a fixed , the BEC and BSC are extremal in the evolution of under the one-step polarization transformations.
Cite
@article{arxiv.1301.5258,
title = {Extremality Properties for the Basic Polarization Transformations},
author = {Mine Alsan},
journal= {arXiv preprint arXiv:1301.5258},
year = {2013}
}
Comments
Submitted to IEEE Transactions on Information Theory