The Third-Order Term in the Normal Approximation for the AWGN Channel

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Journal Article
IEEE Transactions on Information Theory, 2015, 61 (5), pp. 2430 - 2438
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© 1963-2012 IEEE. 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 (1/2) log n + O(1). This improves on the lower bound by Polyanskiys-Poor-Verdú (2010) and matches the upper bound proved by the same authors.
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