Conditional probability calculations for the nonlinear Schr\"odinger equation with additive noise
Information Theory
2014-11-26 v1 math.IT
Abstract
The method for computation of conditional probability density function for the nonlinear Schr\"odinger equation with additive noise is developed. We present in a constructive form the conditional probability density function in the limit of a small noise and analytically derive it in a weakly nonlinear case. The general theory results are illustrated using fibre-optic communications as a particular, albeit practically very important, example.
Cite
@article{arxiv.1411.6792,
title = {Conditional probability calculations for the nonlinear Schr\"odinger equation with additive noise},
author = {I. S. Terekhov and S. S. Vergeles and S. K. Turitsyn},
journal= {arXiv preprint arXiv:1411.6792},
year = {2014}
}