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Journal ArticleDOI

Modified Volterra series transfer function method

Bo Xu, +1 more
- 07 Aug 2002 - 
- Vol. 14, Iss: 1, pp 47-49
TLDR
In this paper, a modified version of the Volterra series transfer function (VSTF) was proposed as an analytical solution to the nonlinear Schrodinger equation for single-mode fibers.
Abstract
In this letter, we offer a modified version of the Volterra series transfer function (VSTF) method that has been previously proposed as an analytical solution to the nonlinear Schrodinger equation for single-mode fibers. The modified VSTF provides a simple closed-form expression of the output of a mildly nonlinear fiber. It gives orders more accurate result than the original VSTF method and can successfully solve the energy divergence problem experienced by the original method. The result is a stronger analytical tool for modeling signal propagation in optical communication systems.

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Citations
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Journal ArticleDOI

The RP method: a new tool for the iterative solution of the nonlinear Schrodinger equation

TL;DR: In this article, an original approach to the solution of the nonlinear Schrodinger equation (NLSE) following the regular perturbation (RP) method was pursued, and the authors showed that the order n RP solution coincides with the order 2n + 1 Volterra series solution proposed by Brandt-Pearce and co-workers.
Journal ArticleDOI

A 2-D Discrete-Time Model of Physical Impairments in Wavelength-Division Multiplexing Systems

TL;DR: A 2-D (time and wavelength) discrete-time input-output model of physical impairments that can become the foundation of signal processing for optical communications is developed based on the Volterra series transfer function (VSTF) method.
Journal ArticleDOI

Comparison of FWM- and XPM-induced crosstalk using the Volterra series transfer function method

TL;DR: In this paper, the variance due to cross-phase modulation and four-wave mixing (FWM) induced intensity distortion is derived based on the Volterra series transfer function method.
Journal ArticleDOI

Mitigation of intra-channel nonlinearities using a frequency-domain Volterra series equalizer.

TL;DR: A frequency-domain Volterra series nonlinear equalizer is applied to a 20 Gbaud NRZ-QPSK signal propagated over 1600 km and a 2 dB improvement on the nonlinear tolerance over backward propagation split-step Fourier method is obtained.
Journal ArticleDOI

Nonlinear Electrical Compensation for the Coherent Optical OFDM System

TL;DR: In this paper, the authors demonstrate that the number of kernels of a Volterra model based equalizer can be significantly reduced using the modified Gram-Schmidt method with reorthogonalization techniques.
References
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Book

Nonlinear Fiber Optics

TL;DR: The field of nonlinear fiber optics has advanced enough that a whole book was devoted to it as discussed by the authors, which has been translated into Chinese, Japanese, and Russian languages, attesting to the worldwide activity in the field.
Journal ArticleDOI

Volterra series transfer function of single-mode fibers

TL;DR: In this article, a nonrecursive Volterra series transfer function (VSTF) approach for solving the nonlinear Schrodinger (NLS) wave equation for a single-mode optical fiber is presented.
Journal ArticleDOI

Volterra series approach for optimizing fiber-optic communications system designs

TL;DR: In this article, the authors derived analytical expressions for an upper bound on probability of error for integrate-and-threshold detection at the receiver, and determined the optimal dispersion parameters of each fiber segment required to minimize the effects of linear dispersion, fiber nonlinearities and ASE noise from the amplifiers.
Proceedings ArticleDOI

Modified Volterra series transfer function method and applications to fiber-optic communications

TL;DR: In this article, a modified version of the Volterra series transfer function (VSTF) was proposed as an analytical solution to the nonlinear Schrodinger (NLS) equation for single-mode fibers.
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