# A Generalization of the DMC

## TL;DR

This paper generalizes the discrete memoryless channel by using a uniform distribution over output sequences and derives key performance metrics.

## Contribution

The paper introduces a new channel model and derives error and decoding exponents for a random ensemble of such channels.

## Key findings

- An achievable error exponent is derived for the generalized channel model.
- The optimal correct-decoding exponent is determined along with its converse.
- The channel ensemble capacity is obtained as a corollary.

## Abstract

We consider a generalization of the discrete memoryless channel, in which the channel probability distribution is replaced by a uniform distribution over clouds of channel output sequences. For a random ensemble of such channels, we derive an achievable error exponent, as well as its converse together with the optimal correct-decoding exponent, all as functions of information rate. As a corollary of these results, we obtain the channel ensemble capacity.