Capacity Bounds for the Poisson-Repeat Channel
<|reference_start|>Capacity Bounds for the Poisson-Repeat Channel: We develop bounds on the capacity of Poisson-repeat channels (PRCs) for which each input bit is independently repeated according to a Poisson distribution. The upper bounds are obtained by considering an auxiliary channel where the output lengths corresponding to input blocks of a given length are provided as side information at the receiver. Numerical results show that the resulting upper bounds are significantly tighter than the best known one for a large range of the PRC parameter $\lambda$ (specifically, for $\lambda\ge 0.35$). We also describe a way of obtaining capacity lower bounds using information rates of the auxiliary channel and the entropy rate of the provided side information.<|reference_end|>
@article{kazemi2024capacity,
    title={Capacity Bounds for the Poisson-Repeat Channel},
    author={Mohammad Kazemi, Tolga M. Duman},
    journal={arXiv preprint arXiv:2410.02342},
    year={2024},
    archivePrefix={arXiv},
    eprint={2410.02342},
    primaryClass={cs.IT math.IT}
}