English

Second-Order Perturbation Theory-Based Digital Predistortion for Fiber Nonlinearity Compensation

Signal Processing 2021-06-29 v1

Abstract

The first-order (FO) perturbation theory-based nonlinearity compensation (PB-NLC) technique has been widely investigated to combat the detrimental effects of the intra-channel Kerr nonlinearity in polarization-multiplexed (Pol-Mux) optical fiber communication systems. However, the NLC performance of the FO-PB-NLC technique is significantly limited in highly nonlinear regimes of the Pol-Mux long-haul optical transmission systems. In this paper, we extend the FO theory to second-order (SO) to improve the NLC performance. This technique is referred to as the SO-PB-NLC. A detailed theoretical analysis is performed to derive the SO perturbative field for a Pol-Mux optical transmission system. Following that, we investigate a few simplifying assumptions to reduce the implementation complexity of the SO-PB-NLC technique. The numerical simulations for a single-channel system show that the SO-PB-NLC technique provides an improved bit-error-rate performance and increases the transmission reach, in comparison with the FO-PB-NLC technique. The complexity analysis demonstrates that the proposed SO-PB-NLC technique has a reduced computational complexity when compared to the digital back-propagation with one step per span.

Keywords

Cite

@article{arxiv.2106.14230,
  title  = {Second-Order Perturbation Theory-Based Digital Predistortion for Fiber Nonlinearity Compensation},
  author = {O. S. Sunish Kumar and A. Amari and O. A. Dobre and R. Venkatesan},
  journal= {arXiv preprint arXiv:2106.14230},
  year   = {2021}
}
R2 v1 2026-06-24T03:38:25.182Z