Estimating Channel Parameters from the Syndrome of a Linear Code
Information Theory
2013-12-12 v1 math.IT
Abstract
In this letter, we analyse the properties of a maximum likelihood channel estimator based on the syndrome of a linear code. For the two examples of a binary symmetric channel and a binary input additive white Gaussian noise channel, we derive expressions for the bias and the mean squared error and compare them to the Cram\'er-Rao bound. The analytical expressions show the relationship between the estimator properties and the parameters of the linear code, i.e., the number of check nodes and the check node degree.
Cite
@article{arxiv.1310.6427,
title = {Estimating Channel Parameters from the Syndrome of a Linear Code},
author = {Gottfried Lechner and Christoph Pacher},
journal= {arXiv preprint arXiv:1310.6427},
year = {2013}
}
Comments
5 pages, accepted for IEEE Communications Letters