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

Vincent Y. F. Tan; Marco Tomamichel

doi:10.1109/TIT.2015.2411256

paper

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

arXiv:1311.2337 · doi:10.1109/TIT.2015.2411256

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

13 pages, 1 figure