A logarithmic burst-noise channel performance analysis and simulation

A new type of channel in order to analyze burst noise is introduced. As opposed to the well known Gilbert-Elliott Markov and Polya contagion channels previously analyzed in the literature, burst run one's lengths based on the logarithmic distribution are introduced. The main property of this new model is that the conditional probability of having an erroneous bit given a previous run one's length does not tend to one, but to a constant, as opposed to the Polya contagion. Run one's length obtained from the model are comparable but slightly different from that obtained by Gilbert. Despite physical channels suitable to be modeled with this proposal were not found yet, several burst-noise physical mechanisms requiring new statistical models have been recently discovered. One main goal is to draw attention to this issue and inspire new approaches.