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

I.S. Terekhov, A.V. Reznichenko, S.K. Turitsyn

Research output: Contribution to journalArticle

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.

Original languageEnglish
Article number042203
Number of pages15
JournalPhysical Review E
Volume94
Issue number4
DOIs
Publication statusPublished - 5 Oct 2016

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Communication Channels
Mutual Information
signal to noise ratios
communication
Curvilinear integral
nonlinear equations
Nonlinear Equations
nonlinearity
Optical Fiber Communication
Nonlinearity
Gaussian Noise
random noise
Backbone
optical communication
Physics
physics
expansion
fibers
Range of data
Model

Cite this

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abstract = "Using the path-integral technique we examine the mutual information for the communication channel modeled by the nonlinear Schr{\"o}dinger equation with additive Gaussian noise. The nonlinear Schr{\"o}dinger 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.",
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Calculation of mutual information for nonlinear communication channel at large signal-to-noise ratio. / Terekhov, I.S.; Reznichenko, A.V.; Turitsyn, S.K.

In: Physical Review E, Vol. 94, No. 4, 042203, 05.10.2016.

Research output: Contribution to journalArticle

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