Calculation of mutual information for nonlinear optical fiber communication channel at large SNR within path-integral formalism


Using the path-integral technique we calculate the mutual information for the fiber optical channel modelled by the nonlinear Schrö dinger equation with additive Gaussian noise. At large signal-to-noise ratio (SNR) we present the mutual information through the path-integral which is convenient for the perturbative expansion both in nonlinearity and dispersion. In the leading order in 1/SNR we demonstrate that the mutual information is determined through the averaged logarithm of the normalization factor Λ of the conditional probability density function P[Y|X]. In the limit of small noise and small nonlinearity we derive analytically the first nonzero nonlinear correction to the mutual information for the channel. For the arbitrary nonlinearity we restrict the mutual information by the low bound obtained from the Jensen's inequality and analyze the bound for the case of large dispersion.

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Divisions: College of Engineering & Physical Sciences > School of Informatics and Digital Engineering > Electrical and Electronic Engineering
College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
College of Engineering & Physical Sciences > Aston Institute of Photonics Technology (AIPT)
Additional Information: Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Published under licence by IOP Publishing Ltd.
Uncontrolled Keywords: Physics and Astronomy(all)
Publication ISSN: 1742-6596
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Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2017-04-20
Accepted Date: 2017-04-20
Authors: Reznichenko, A.V.
Terekhov, Ivan S.
Turitsyn, Sergei K. (ORCID Profile 0000-0003-0101-3834)



Version: Published Version

License: Creative Commons Attribution

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