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


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:
Divisions: College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
College of Engineering & Physical Sciences > Aston Institute of Photonics Technology (AIPT)
Uncontrolled Keywords: Statistical and Nonlinear Physics,Statistics and Probability,Condensed Matter Physics
Publication ISSN: 1550-2376
Last Modified: 05 Feb 2024 08:19
Date Deposited: 07 Nov 2016 13:40
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Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2016-10-05
Accepted Date: 2016-10-05
Submitted Date: 2016-07-15
Authors: Terekhov, I.S.
Reznichenko, A.V.
Turitsyn, S.K. (ORCID Profile 0000-0003-0101-3834)



Version: Accepted Version

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