English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Applying perturbation theory to the path-integral representation for themutual information of the nonlinear communication channel described by thenonlinear Shr\"{o}dinger equation (NLSE) with the additive Gaussian noise weanalyze the analytical expression for the mutual information at largesignal-to-noise ratio ($\mathrm{SNR}$) and small nonlinearity. We classify allpossible corrections to the mutual information in nonlinearity parameter anddemonstrate that all singular in $\mathrm{SNR}$ terms vanish in the finalresult. Furthermore our analytical result demonstrates that the corrections toShannon's contribution to the mutual information in the leading order in$\mathrm{SNR}$ are of order of squared nonlinearity parameter. We outline theway for the calculation of these corrections in the further investigations.

Mutual information in nonlinear communication channel. Preliminary analytical results in large SNR and small nonlinearity limit