Shannon capacity of nonlinear regenerative channels

TL;DR

This paper analyzes the Shannon capacity of nonlinear regenerative channels, identifying conditions where capacity exceeds linear channels, and develops design schemes with theoretical bounds and asymptotic behavior insights.

Contribution

It introduces a general design scheme for nonlinear regenerative channels and derives capacity bounds and asymptotic behavior, advancing understanding of nonlinear channel capacities.

Findings

Capacity can surpass that of linear channels under certain conditions.

An upper bound for regeneration efficiency is established.

Asymptotic capacity behavior in saturation regime is characterized.

Abstract

We compute Shannon capacity of nonlinear channels with regenerative elements. Conditions are found under which capacity of such nonlinear channels is higher than the Shannon capacity of the classical linear additive white Gaussian noise channel. We develop a general scheme for designing the proposed channels and apply it to the particular nonlinear sine-mapping. The upper bound for regeneration efficiency is found and the asymptotic behavior of the capacity in the saturation regime is derived.