Title :
The Third-Order Term in the Normal Approximation for the AWGN Channel
Author :
Tan, Vincent Yan Fu ; Tomamichel, Marco
Author_Institution :
Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore
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 (1/2) log n + O(1). This improves on the lower bound by Polyanskiy-Poor-Verdú (2010) and matches the upper bound proved by the same authors.
Keywords :
AWGN channels; approximation theory; error statistics; Polyanskiy-Poor-Verdú; additive white Gaussian noise channel; average error probability formalism; normal approximation; third-order term; AWGN channels; Approximation methods; Dispersion; Encoding; Error probability; Maximum likelihood decoding; Monte Carlo methods; Additive white Gaussian noise channel; Dispersion; Finite blocklength; Minimum-distance decoding; Second-order coding rates; Shannon capacity; Third-order asymptotics; dispersion; finite blocklength; minimum-distance decoding; second-order coding rates; third-order asymptotics;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2015.2411256
