Abstract

An improved digital backward propagation (DBP) is proposed to compensate inter-nonlinear effects and dispersion jointly in WDM systems based on an advanced perturbation technique (APT). A non-iterative weighted concept is presented to replace the iterative in analytical recursion expression, which can dramatically simplify the complexity and improve accuracy compared to the traditional perturbation technique (TPT). Furthermore, an analytical recursion expression of the output after backward propagation is obtained initially. Numerical simulations are executed for various parameters of the transmission system. The results indicate that the advanced perturbation technique will relax the step size requirements and reduce the oversampling factor when launch power is higher than -2 dBm. We estimate this technique will reduce computational complexity by a factor of around seven with respect to the conventional DBP.

Highlights

  • In long-haul, high-speed wavelength-division-multiplexed (WDM) optical fiber system nonconstructive effects of fiber nonlinearity can significantly degrade signal quality [1]

  • Our research indicates that advanced perturbation technique (APT) is more accurate than C-digital backward propagation (DBP) for nonlinearity compensation when launch power is higher than −2 dBm and step size is larger than 20 km, especially about 2.4 dB benefits than conventional DBP (C-DBP) at 3 dBm with one step per span, which will allow larger step size for equivalent performance

  • APT requires a lower sampling rate when launch power is higher than −2 dBm

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Summary

Introduction

In long-haul, high-speed wavelength-division-multiplexed (WDM) optical fiber system nonconstructive effects of fiber nonlinearity can significantly degrade signal quality [1]. An advanced perturbation technique (APT) is developed and basing on this technique, an improved digital backward propagation (DBP) is proposed to compensate internonlinear effects and dispersion jointly in WDM systems. In this advanced perturbation technique, a non-iterative weighted concept is presented to replace the iterative in the analytical recursion expression, which can dramatically simplify the complexity and improve accuracy compared to the traditional perturbation technique (TPT). The constant ε can be set flexibly in different systems to achieve a satisfied accuracy In this vein, after rewriting Eq (7), an analytical recursion expression of the output after backward propagation is obtained as follows: exp(.

Analysis of computational complexity
Numerical simulation results and discussion
Findings
Conclusion
Full Text
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