Pulse Energy Probability Density Functions for Long-Haul Optical Fiber Transmission Systems by Using Instantons and Edgeworth Expansion

In this work, we use a new approach to model pulse energy in long-haul optical fiber transmission systems. Existing approaches for obtaining probability density functions (pdfs) rely on numerical simulations or analytical approximations. Numerical simulations make far tails of the pdfs difficult to...

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Bibliographic Details
Published in:IEEE photonics technology letters 2007-10, Vol.19 (20), p.1604-1606
Main Authors: Ivkovic, M., Djordjevic, I., Rajkovic, P.M., Vasic, B.
Format: Article
Language:English
Subjects:
Approximation
Computer simulation
Edgeworth expansion
Energy use
Instantons
Intersymbol interference
Mathematical analysis
Mathematical models
Mathematics
Numerical simulation
Optical fiber communication
optical fiber transmission
Optical fibers
Optical noise
Optical pulses
Polynomials
Probability density function
probability density function (pdf)
Probability density functions
Tail
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Description
Summary:In this work, we use a new approach to model pulse energy in long-haul optical fiber transmission systems. Existing approaches for obtaining probability density functions (pdfs) rely on numerical simulations or analytical approximations. Numerical simulations make far tails of the pdfs difficult to obtain, while analytical approximations are often inaccurate, as they neglect nonlinear interaction between pulses and noise. Our approach combines the instanton method from statistical mechanics to model far tails of the pdfs, with numerical simulations to refine the middle part of the pdfs. We combine the two methods by using an orthogonal polynomial expansion constructed specifically for this problem. We demonstrate the approach on an example of a specific submarine transmission system.
ISSN:1041-1135
1941-0174
DOI:10.1109/LPT.2007.904909