New Converse Bounds for Discrete Memoryless Channels in the Finite Blocklength Regime

TL;DR

This paper derives explicit bounds on the capacity of discrete memoryless channels in the finite blocklength regime, utilizing the information spectrum approach to improve understanding of channel limits.

Contribution

It introduces new explicit lower and upper bounds for channel capacity in the finite blocklength regime using the information spectrum method.

Findings

Derived explicit capacity bounds for finite blocklength DMCs

Demonstrated the effectiveness of the information spectrum approach

Provided insights into the limits of channel coding in finite regimes

Abstract

We study the determination problem of the channel capacity for the discrete memoryless channels in the finite blocklength regime. We derive explicit lower and upper bounds of the capacity. We shall demonstrate that the information spectrum approach is quite useful for investigating this problem.