Numerical Approaches in Nonlinear Fourier Transform‐Based Signal Processing for Telecommunications

We discuss applications of the inverse scattering transform, also known as the nonlinear Fourier transform (NFT) in telecommunications, both for nonlinear optical fiber communication channel equalization and time-domain signal processing techniques. Our main focus is on the challenges and recent progress in the development of efficient numerical algorithms and approaches to NFT implementation.

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@article{sedov2025numerical,
  title={Numerical Approaches in Nonlinear Fourier Transform-Based Signal Processing for Telecommunications},
  author={Sedov, Egor and Chekhovskoy, Igor and Fedoruk, Mikhail and Turitsyn, Sergey},
  journal={Studies in Applied Mathematics},
  volume={154},
  number={1},
  pages={e12795},
  year={2025},
  publisher={Wiley Online Library},
  doi={10.1111/sapm.12795}
}