Capacity Bounds for the Poisson-Repeat Channel
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917793644937216 |
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| author | Kazemi, Mohammad Duman, Tolga M. |
| author_facet | Kazemi, Mohammad Duman, Tolga M. |
| contents | 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 $λ$ (specifically, for $λ\ge 0.35$). 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_02342 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Capacity Bounds for the Poisson-Repeat Channel Kazemi, Mohammad Duman, Tolga M. Information Theory 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 $λ$ (specifically, for $λ\ge 0.35$). 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. |
| title | Capacity Bounds for the Poisson-Repeat Channel |
| topic | Information Theory |
| url | https://arxiv.org/abs/2410.02342 |