TY - GEN

T1 - Channel capacity and simple correlators for nonlinear communication channel at large SNR and small dispersion

AU - Reznichenko, Aleksey V.

AU - Terekhov, Ivan S.

N1 - Publisher Copyright: © 2017 IEEE.

PY - 2018/1/31

Y1 - 2018/1/31

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85046375122&partnerID=8YFLogxK

U2 - 10.1109/ITW.2017.8277950

DO - 10.1109/ITW.2017.8277950

M3 - Conference contribution

AN - SCOPUS:85046375122

VL - 2018-January

SP - 186

EP - 190

BT - 2017 IEEE Information Theory Workshop, ITW 2017

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2017 IEEE Information Theory Workshop, ITW 2017

Y2 - 6 November 2017 through 10 November 2017

ER -