Channel capacity and simple correlators for nonlinear communication channel at large SNR and small dispersion

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Abstract

We consider the optical fiber channel modelled by the nonlinear Schrodinger equation with additive white Gaussian noise. Using Feynman path-integral approach for the model with small dispersion we find the estimations for the first nonzero corrections to the conditional probability density function, to the optimal input signal distribution, and to the channel capacity at large signal-to-noise ratio. On the base of the factorization assumption of the conditional probability density function we demonstrate that the correction to the channel capacity in small dimensionless dispersion parameter is quadratic and positive therefore increasing the earlier calculated capacity for a nondispersive nonlinear optical fiber channel in the intermediate power regime. To illustrate our approach we also find the analytical expressions for simple correlators of the output signal in our noisy channel with small dispersion.

Original languageEnglish
Title of host publication2017 IEEE Information Theory Workshop, ITW 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages186-190
Number of pages5
Volume2018-January
ISBN (Electronic)9781509030972
DOIs
Publication statusPublished - 31 Jan 2018
Event2017 IEEE Information Theory Workshop, ITW 2017 - Kaohsiung, Taiwan, Province of China
Duration: 6 Nov 201710 Nov 2017

Conference

Conference2017 IEEE Information Theory Workshop, ITW 2017
CountryTaiwan, Province of China
CityKaohsiung
Period06.11.201710.11.2017

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