Conditional Probability Calculations for the Nonlinear Schrödinger Equation with Additive Noise
Abstract
The method for the computation of the conditional probability density function for the nonlinear Schrödinger equation with additive noise is developed. We present in a constructive form the conditional probability density function in the limit of small noise and analytically derive it in a weakly nonlinear case. The general theory results are illustrated using fiberoptic communications as a particular, albeit practically very important, example.
 Publication:

Physical Review Letters
 Pub Date:
 December 2014
 DOI:
 10.1103/PhysRevLett.113.230602
 Bibcode:
 2014PhRvL.113w0602T
 Keywords:

 05.10.Gg;
 02.70.Rr;
 89.70.a;
 Stochastic analysis methods;
 General statistical methods;
 Information and communication theory