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

2014/11/27 by I. S. Terekhov, Terekhov, I. S., А. В. Резниченко +3
Computer Science · Engineering · Physics and Astronomy · #FOS: Computer and information sciences #Information Theory (cs.IT) #Optical Network Technologies #Quantum Information and Cryptography #Quantum optics and atomic interactions

paper · pdf · doi:10.48550/arxiv.1411.7477

openalex publication_date 2014/11/27 · openalex created_date 2016/09/16 · openalex updated_date 2026/07/28

Abstract

Applying perturbation theory to the path-integral representation for the mutual information of the nonlinear communication channel described by the nonlinear Shrödinger equation (NLSE) with the additive Gaussian noise we analyze the analytical expression for the mutual information at large signal-to-noise ratio (SNR) and small nonlinearity. We classify all possible corrections to the mutual information in nonlinearity parameter and demonstrate that all singular in SNR terms vanish in the final result. Furthermore our analytical result demonstrates that the corrections to Shannon's contribution to the mutual information in the leading order in SNR are of order of squared nonlinearity parameter. We outline the way for the calculation of these corrections in the further investigations.

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