On exact asymptotics of the error probability in channel coding: symmetric channels

Autor: Altuğ, Yücel, Wagner, Aaron B.
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: The exact order of the optimal sub-exponentially decaying factor in the classical bounds on the error probability of fixed-length codes over a Gallager-symmetric discrete memoryless channel with and without ideal feedback is determined. Regardless of the availability of feedback, it is shown that the order of the optimal sub-exponential factor exhibits a dichotomy. Moreover, the proof technique is used to establish the third-order term in the normal approximation for symmetric channels, where a similar dichotomy is shown to exist.
Comment: arXiv admin note: text overlap with arXiv:1309.5126
Databáze: arXiv