The Third-Order Term in the Normal Approximation for the AWGN Channel
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 12 n + O(1). This matches the upper bound derived by Polyanskiy-Poor-Verd\'u (2010).
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