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• W4289655325 abstract "The channel coding problem in the moderate deviations regime is studied; here, the error probability sub-exponentially decays to zero, and the rate approaches the capacity slower than $O(1/sqrt n )$. The main result refines Altuğ and Wagner’s moderate deviations result by deriving lower and upper bounds on the third-order term in the asymptotic expansion of the maximum achievable message set size. The third-order term of the expansion employs a new quantity called the channel skewness. For the binary symmetric channel and most practically important (n,ϵ) pairs, including n ∈ [100, 500] and ϵ ∈ [10 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>−10</sup> ,10 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>−1</sup> ], an approximation up to the channel skewness is the most accurate among several expansions in the literature." @default.
• W4289655325 created "2022-08-03" @default.
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• W4289655325 date "2022-06-26" @default.
• W4289655325 modified "2023-10-16" @default.
• W4289655325 title "Third-order Analysis of Channel Coding in the Moderate Deviations Regime" @default.
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• W4289655325 doi "https://doi.org/10.1109/isit50566.2022.9834841" @default.
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