The Third-Order Term in the Normal Approximation for the AWGN Channel
classification
💻 cs.IT
math.IT
keywords
approximationchannelnormaltermthird-orderadditiveaverageawgn
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This paper shows that, under the average error probability formalism, the third-order term in the normal approximation for the additive white Gaussian noise channel with a maximal or equal power constraint is at least $\frac{1}{2} \log n + O(1)$. This matches the upper bound derived by Polyanskiy-Poor-Verd\'{u} (2010).
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