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 $\frac{1}{2}\log n+O(1)$. This matches the upper bound derived by Polyanskiy-Poor-Verdú (2010).

arXiv comment13 pages, 1 figure

References in corpus (4)

• Information Spectrum Approach to Second-Order Coding Rate in Channel Coding
• The Third-Order Term in the Normal Approximation for the AWGN Channel
• A Tight Upper Bound for the Third-Order Asymptotics for Most Discrete Memoryless Channels
• A Finite-Blocklength Perspective on Gaussian Multi-Access Channels

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