On the Binary Symmetric Channel with a Transition Probability Determined by a Poisson Distribution
Information Theory
2023-07-13 v1 math.IT
Abstract
The classical Binary Symmetric Channel has a fixed transition probability. We discuss the Binary Symmetric Channel with a variable transition probability that depends on a Poisson distribution. The error rate for this channel is determined and we also give bounds for the channel capacity. We give a motivation for the model based on the Class-A impulse noise model, as given by Middleton. The channel model can be extended to the Additive White Gaussian Channel model, where the noise variance also depends on a Poisson distribution.
Cite
@article{arxiv.2307.06073,
title = {On the Binary Symmetric Channel with a Transition Probability Determined by a Poisson Distribution},
author = {A. J. Han Vinck and Fatma Rouissi},
journal= {arXiv preprint arXiv:2307.06073},
year = {2023}
}
Comments
5 pages and 12 figures