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- W3104219195 abstract "This paper studies the second-order asymptotics of the Gaussian multiple-access channel with degraded message sets. For a fixed average error probability ε ϵ (0,1) and an arbitrary point on the boundary of the capacity region, we characterize the speed of convergence of rate pairs that converge to that boundary point for codes that have asymptotic error probability no larger than ε. As a stepping stone to this local notion of the second-order asymptotics, we study a global notion, and establish relationships between the two. We provide a numerical example to illustrate how the angle of approach to a boundary point affects the second-order coding rate. This is the first conclusive characterization of the second-order asymptotics of a network information theory problem in which the capacity region is not a polygon." @default.
- W3104219195 created "2020-11-23" @default.
- W3104219195 creator A5046337437 @default.
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- W3104219195 date "2015-12-01" @default.
- W3104219195 modified "2023-10-01" @default.
- W3104219195 title "Second-Order Asymptotics for the Gaussian MAC With Degraded Message Sets" @default.
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- W3104219195 doi "https://doi.org/10.1109/tit.2015.2487340" @default.
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