Sliding Window Approach for Continuous Signal Processing with Nonlinear Fourier Transform

We propose a novel approach to enhance the accuracy and efficiency of continuous signal processing using the nonlinear Fourier transform (NFT) with vanishing boundary conditions. The sliding window technique is applied to divide the continuous signal into segments, which are then processed with the NFT. For each segment, the chromatic dispersion is compensated to minimize the impact of neighboring intervals, leading to improved NFT performance and reduced computational complexity.

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DOI: 10.2139/ssrn.5358703

@article{chekhovskoy2025sliding,
  title={Sliding Window Approach for Continuous Signal Processing with Nonlinear Fourier Transform},
  author={Chekhovskoy, Igor and Sedov, Egor and Fedoruk, Mikhail P and Turitsyn, Sergei K},
  journal={Available at SSRN 5358703},
  year={2025}
}