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The Third-Order Term in the Normal Approximation for the AWGN Channel (1311.2337v2)
Published 11 Nov 2013 in cs.IT and math.IT
Abstract: 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).