Investigation of Nonlinear Communication Channel with Small Dispersion via Stochastic Correlator Approach

Abstract

We consider the optical fiber channel modelled by the nonlinear Schrödinger equation with additive white Gaussian noise and with large signal-to-noise ratio. For the small dispersion case we present the approach to analyze the stochastic nonlinear Schrödinger equation. Taking into account the averaging procedure (frequency filtering) of the output signal detector we find the first corrections in small dispersion parameter to the correlators of the input signal recovered by the backward propagation. These correlators are the important ingredients for the calculation of the channel capacity and the optimal input signal distribution. We assert that the information channel characteristics essentially depend on the procedures of the output signal filtering and the recovery of the transmitted signal.

Path Integral Approach to Nondispersive Optical Fiber Communication Channel

“…The calculations performed in Refs. [ 29 , 30 , 31 , 32 , 33 ] is indicative of the possibility to use the presented methods for the capacity investigation of the nonlinear fiber-optical channels with non-zero dispersion.…”

Complex-Valued Neural Network Design for Mitigation of Signal Distortions in Optical Links

“…For the Manakov equation (Eq. (1)), perturbative methods describing the field evolution in the highly nonlinear regime [16][17][18][19] have been developed under some limiting assumptions. Conversely, we suggest adding trainable general nonlinearity functions to the memory-less solution provided by Eq.…”