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

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Calculation of mutual information for nonlinear optical fiber communication channel at large SNR within path-integral formalism. / Reznichenko, A. V.; Terekhov, I. S.; Turitsyn, S. K.

в: Journal of Physics: Conference Series, Том 826, № 1, 012026, 20.04.2017.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{54f7b01c3f634226baa1f1ac748d1392,

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

abstract = "Using the path-integral technique we calculate the mutual information for the fiber optical channel modelled by the nonlinear Schr{\"o} 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.",

author = "Reznichenko, {A. V.} and Terekhov, {I. S.} and Turitsyn, {S. K.}",

note = "Publisher Copyright: {\textcopyright} Published under licence by IOP Publishing Ltd.",

year = "2017",

month = apr,

day = "20",

doi = "10.1088/1742-6596/826/1/012026",

language = "English",

volume = "826",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

}

RIS

TY - JOUR

T1 - Calculation of mutual information for nonlinear optical fiber communication channel at large SNR within path-integral formalism

AU - Reznichenko, A. V.

AU - Terekhov, I. S.

AU - Turitsyn, S. K.

N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd.

PY - 2017/4/20

Y1 - 2017/4/20

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85018416462&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/826/1/012026

DO - 10.1088/1742-6596/826/1/012026

M3 - Article

AN - SCOPUS:85018416462

VL - 826

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012026

ER -

ID: 9069636