Title :
The third-order term in the normal approximation for the AWGN channel
Author :
Tan, Vincent Y. F. ; Tomamichel, Marco
Author_Institution :
Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore
fDate :
June 29 2014-July 4 2014
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 over 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; probability; AWGN channel; Polyanskiy-Poor-Verdu; additive white Gaussian noise channel; error probability formalism; normal approximation; third-order term; AWGN channels; Approximation methods; Channel coding; Monte Carlo methods; Upper bound;
Conference_Titel :
Information Theory (ISIT), 2014 IEEE International Symposium on
Conference_Location :
Honolulu, HI
DOI :
10.1109/ISIT.2014.6875199
