Asymptotic probability density of nonlinear phase noise

Abstract

The asymptotic probability density of nonlinear phase noise, often called the Gordon–Mollenauer effect, is derived analytically when the number of fiber spans is large. Nonlinear phase noise is the summation of infinitely many independently distributed noncentral ${\chi }^2$ random variables with two degrees of freedom. The mean and the standard deviation of those random variables are both proportional to the square of the reciprocal of all odd natural numbers. Nonlinear phase noise can also be accurately modeled as the summation of a noncentral ${\chi }^2$ random variable with two degrees of freedom and a Gaussian random variable.

© 2003 Optical Society of America

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