Capacity bounds for the poisson-repeat channel
Date
2023-08-22
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Source Title
2023 IEEE International Symposium on Information Theory (ISIT)
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Publisher
Institute of Electrical and Electronics Engineers
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Pages
1196 - 1201
Language
en
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Abstract
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 ? (specifically, for ? =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.