This paper presents a new derivation method of converse bounds on the non-asymptotic achievable rate of memoryless discrete channels. It is based on the finite blocklength statistics of the channel, where with the use of an auxiliary channel the converse bound is produced. This methodology is general and initially presented for an arbitrary channel. Afterwards, the main result is specialized for the $q$-ary erasure (QEC), binary symmetric (BSC), and Z channels.
翻译:本文介绍了一种新的引出方法,即对无内存离散通道的非简易可实现速率进行反向截面反向截面,其依据是该频道的有限轮廓统计,利用该频道的辅助频道生成反向连接,这种方法是一般性的,最初是为专断频道提供的,随后,主要结果专门用于$q-元去除(QEC)、二元对称(BSC)和Z频道。