Calculation of mutual information for nonlinear communication channel at large signal-to-noise ratio

Terekhov, I.S., Reznichenko, A.V. and Turitsyn, S.K. (2016). Calculation of mutual information for nonlinear communication channel at large signal-to-noise ratio. Physical Review E, 94 (4),

Abstract

Using the path-integral technique we examine the mutual information for the communication channel modeled by the nonlinear Schrödinger equation with additive Gaussian noise. The nonlinear Schrödinger equation is one of the fundamental models in nonlinear physics, and it has a broad range of applications, including fiber optical communications - the backbone of the internet. At large signal-to-noise ratio we present the mutual information through the path-integral, which is convenient for the perturbative expansion in nonlinearity. In the limit of small noise and small nonlinearity we derive analytically the first nonzero nonlinear correction to the mutual information for the channel.

Publication DOI: https://doi.org/10.1103/PhysRevE.94.042203
Divisions: Engineering & Applied Sciences > Electrical, electronic & power engineering
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Engineering & Applied Sciences > Institute of Photonics
Uncontrolled Keywords: Statistical and Nonlinear Physics,Statistics and Probability,Condensed Matter Physics
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Related URLs: http://www.scopus.com/inward/record.url?scp=84991716185&partnerID=8YFLogxK (Scopus URL)
Published Date: 2016-10-05
Authors: Terekhov, I.S.
Reznichenko, A.V.
Turitsyn, S.K. ( 0000-0003-0101-3834)

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