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

A.V. Reznichenko, Ivan S. Terekhov, Sergei K. Turitsyn

Research output: Contribution to journalArticle


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.

Original languageEnglish
Article number012026
Number of pages10
JournalJournal of Physics
Issue number1
Publication statusPublished - 20 Apr 2017
Event25th Annual International Laser Physics Workshop (LPHYS 2016) - Elite Plaza Business Center & Best Western Congress Hotel, Yerevan, Armenia
Duration: 10 Jul 201615 Jul 2016

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    In-cavity pulse shaping and dissipative parametric instability mode-locking in fibre lasers

    Tarasov, N., Boscolo, S., Peng, J., Finot, C., Perego, A., Churkin, D., Turitsyn, S. & Staliunas, K., Jul 2016, p. 60. 1 p.

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    Open Access
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