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- W2262741872 abstract "The cut-set bound developed by Cover and El Gamal in 1979 has since remained the best known upper bound on the capacity of the Gaussian relay channel. We develop a new upper bound on the capacity of the Gaussian primitive relay channel which is tighter than the cut-set bound. Our proof is based on typicality arguments and concentration of Gaussian measure. Combined with a simple tensorization argument proposed by Courtade and Ozgur in 2015, our result also implies that the current capacity approximations for Gaussian relay networks, which have linear gap to the cut-set bound in the number of nodes, are order-optimal and leads to a lower bound on the pre-constant." @default.
- W2262741872 created "2016-06-24" @default.
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- W2262741872 date "2016-06-04" @default.
- W2262741872 modified "2023-09-27" @default.
- W2262741872 title "Cut-Set Bound Is Loose for Gaussian Relay Networks" @default.
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- W2262741872 doi "https://doi.org/10.48550/arxiv.1606.01374" @default.
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