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Properties of nonlinear noise in long, dispersion-uncompensated fiber links (1307.7401v2)

Published 28 Jul 2013 in physics.optics, cs.IT, and math.IT

Abstract: We study the properties of nonlinear interference noise (NLIN) in fiber-optic communications systems with large accumulated dispersion. Our focus is on settling the discrepancy between the results of the Gaussian noise (GN) model (according to which NLIN is additive Gaussian) and a recently published time-domain analysis, which attributes drastically different properties to the NLIN. Upon reviewing the two approaches we identify several unjustified assumptions that are key in the derivation of the GN model, and that are responsible for the discrepancy. We derive the true NLIN power and verify that the NLIN is not additive Gaussian, but rather it depends strongly on the data transmitted in the channel of interest. In addition we validate the time-domain model numerically and demonstrate the strong dependence of the NLIN on the interfering channels' modulation format.

Citations (353)

Summary

  • The paper demonstrates that NLIN is not simply additive Gaussian noise but is strongly influenced by the transmitted data and modulation format.
  • Rigorous time-domain analysis and 500 km fiber link simulations uncover a substantial phase noise component, especially in amplitude-modulated formats like 16-QAM.
  • The findings imply that current equalization techniques can mitigate NLIN, enabling enhanced channel capacities and prompting refinements to existing GN models.

An Examination of Nonlinear Noise in Fiber-Optic Communications

The paper "Properties of nonlinear noise in long, dispersion-uncompensated fiber links" by Dar et al. investigates the nonlinear interference noise (NLIN) in fiber-optic communication systems characterized by significant accumulated dispersion. The research primarily critiques and revises the prevailing Gaussian Noise (GN) model, which assumes NLIN to be additive Gaussian noise, independent of the modulation format. Instead, the authors argue that NLIN is substantially influenced by the transmitted data and modulation format, necessitating a reevaluation of the existing theoretical models.

The authors establish their claims by examining two prevailing models: the GN model, which involves a spectral domain analysis, and a time-domain model recently proposed by Mecozzi and Essiambre. They identify underlying assumptions in the GN model, particularly its unjustified treatment of NLIN as statistically independent additive noise. Furthermore, they challenge the assumption of channel spectrum Gaussianity and the independence of frequency components in the GN approach. These assumptions, they argue, lead to discrepancies in predicting NLIN impact based on modulation formats.

In their analysis, Dar et al. advance the discussion through a rigorous time-domain derivation, revealing that NLIN is closely coupled to both the modulation format and the channel symbol data. Their salient discovery is that NLIN possesses a significant phase noise component, particularly when the modulation format involves substantial amplitude variations (e.g., 16-QAM). The authors analytically derive that this phase noise component is correlated with intensity modulation and manifests long temporal correlations, providing a stark contrast to the GN model which treats noise as spectrally unvarying and independent of format.

Their numerical simulations, conducted on a 500 km fiber link without inline dispersion compensation, empirically validate their analytical predictions. These simulations reveal that modulation formats with amplitude variations, such as 16-QAM, yield pronounced phase noise, corroborating the theoretical stance against the GN model's assumptions. Further, the documented variance noted by the authors illustrates a discrepancy with the GN model, which does not account for the inherent modulation dependencies resulting from the fourth-order statistics they calculate.

The implications of this research are multifaceted, affecting both practical engineering and theoretical development in fiber-optic communications. Practically, the pronounced phase component of NLIN, with its long temporal correlations, can be mitigated using current equalization technologies. This finding suggests possibilities for achieving enhanced channel capacities by leveraging equalization techniques that can effectively estimate and counteract the NLIN phase rotation. Theoretically, the results call into question the adequacy of GN models for predicting system performance, encouraging the exploration of more comprehensive models accounting for data-dependent variations and modulation formats.

This research opens pathways for further exploration into nonlinear noise characterization and compensation in optical systems. Future studies could expand on this work by examining additional system parameters, such as polarization multiplexing and lumped amplification scenarios. Moreover, there is a potential to develop advanced noise mitigation techniques that are more computationally efficient and implementable in real-time systems.

Overall, the paper contributes significantly by challenging conventional models and proposing refined theoretical views that better reflect the complexities observed in contemporary and future fiber-optic communication systems.

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