Estimating Channel Parameters from the Syndrome of a Linear Code

Gottfried Lechner; Christoph Pacher

doi:10.1109/lcomm.2013.091113.131646

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arXiv · 1310.6427

Estimating Channel Parameters from the Syndrome of a Linear Code

Gottfried Lechner·Christoph Pacher

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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 Cramér-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.

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Gottfried Lechner, Christoph Pacher. 2013-10-23. Estimating Channel Parameters from the Syndrome of a Linear Code. https://doi.org/10.1109/lcomm.2013.091113.131646

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