Print Email Facebook Twitter Fast nonlinear Fourier transform algorithms using higher order exponential integrators Title Fast nonlinear Fourier transform algorithms using higher order exponential integrators Author Chimmalgi, S. (TU Delft Team Raf Van de Plas) Prins, Peter J. (TU Delft Team Raf Van de Plas) Wahls, S. (TU Delft Team Raf Van de Plas) Date 2019 Abstract The nonlinear Fourier transform (NFT) has recently gained significant attention in fiber optic communications and other engineering fields. Although several numerical algorithms for computing the NFT have been published, the design of highly accurate low-complexity algorithms remains a challenge. In this paper, we present new fast forward NFT algorithms that achieve accuracies that are orders of magnitudes better than current methods, at comparable run times and even for moderate sampling intervals. The new algorithms are compared to existing solutions in multiple, extensive numerical examples. Subject Nonlinear Fourier transformtransforms for signal processingnonlinear signal processingEigenvalues and eigenfunctions To reference this document use: http://resolver.tudelft.nl/uuid:53caa9e3-6672-4f52-9596-7b4a959e515a DOI https://doi.org/10.1109/ACCESS.2019.2945480 ISSN 2169-3536 Source IEEE Access, 7 (1), 145161-145176 Part of collection Institutional Repository Document type journal article Rights © 2019 S. Chimmalgi, Peter J. Prins, S. Wahls Files PDF 08856211.pdf 7.45 MB Close viewer /islandora/object/uuid:53caa9e3-6672-4f52-9596-7b4a959e515a/datastream/OBJ/view