Generalized symmetric mutual information applied for the channel capacity

TL;DR

This paper explores a generalized form of symmetric mutual information to analyze the channel capacity of binary symmetric channels, revealing potential negative capacities when extending the concept of information entropy beyond traditional limits.

Contribution

It introduces a generalized symmetric mutual information framework for channel capacity analysis, extending traditional concepts to nonadditive entropy scenarios.

Findings

Negative capacity can occur with generalized entropy when q > 1

Symmetrized mutual information provides new insights into channel capacity

Extension of information content based on nonadditivity impacts capacity estimates

Abstract

The channel capacity for the binary symmetric channel is investigated based on the symmetrized definition of the mutual information, which is arising from an attempt of extension of information content based on the nonadditivity. The negative capacity can emerge as an avoidable consequence for the generalization of the concept of the information entropy when $q >1$.