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

preprint2013arXivOpen access

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-Verdú (2010).

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

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