@inproceedings{fd94f4a0172248cf8d19056617690333,
title = "A Fokker-Planck differential equation approach for the zero-dispersion optical fiber channel",
abstract = "Optical fiber channels modeled by the stochastic nonlinear Schr{\"o}dinger equation and operating at zero dispersion are considered in this paper. As a result of the Kerr nonlinearity and its interaction with amplified spontaneous emission noise, the amplitude and phase channels correlate with each other and the statistics of the received signal are non-Gaussian. In order to find the capacity of such a nonlinear channel, one must find the conditional probability density function (PDF) of the channel output given channel input. The complex zero-dispersion channel (viewed as an instance of the Langevin equation) is transformed to polar coordinates using it{\^o} calculus, where the cubic nonlinearity appears to be more tractable. A method is introduced based on the Fokker-Planck differential equation, known in the statistical physics, to describe the PDF of the received signal.",
keywords = "Information theory, Kerr nonlin-earity, Optical fiber, Stochastic calculus",
author = "Yousefi, \{Mansoor I.\} and Kschischang, \{Frank R.\}",
year = "2010",
month = jan,
day = "1",
doi = "10.1109/ISIT.2010.5513247",
language = "English",
isbn = "9781424469604",
series = "IEEE International Symposium on Information Theory - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "206--210",
booktitle = "2010 IEEE International Symposium on Information Theory, ISIT 2010 - Proceedings",
note = "2010 IEEE International Symposium on Information Theory, ISIT 2010 ; Conference date: 13-06-2010 Through 18-06-2010",
}