@inproceedings{b708f51fe57e42bbbc658fbf40dd13b3,
title = "Fast eigenvalue evaluation of the direct Zakharov-Shabat problem in telecommunication signals using adaptive phase jump tracking",
abstract = "We propose a new fast method with adaptive step size phase jump tracking for determining the discrete spectrum of the Zakharov-Shabat problem. This method is based on moving on a complex plane along special trajectories.",
author = "Chekhovskoy, {I. S.} and Medvedev, {S. B.} and Vaseva, {I. A.} and Sedov, {E. V.} and Fedoruk, {M. P.}",
note = "Funding Information: Fig. 1 The OFDM signal (a), the corresponding discrete spectrum (b). The use of an adaptive step size made it possible to reduce by approximately 3 times the running time of the algorithm in comparison with the PJT with a constant step and increased its accuracy in regions where discrete eigenvalues are close to each other. Moreover, PJT is one order of magnitude faster than the contour integral method and FNFT for considered computational grid sizes. This work was supported by the Russian Science Foundation (grant No. 17-72-30006). The work of I.S.Ch. was supported by the state funding program FSUS-2020-0034.; 2021 European Conference on Lasers and Electro-Optics, CLEO/Europe 2021 ; Conference date: 21-06-2021 Through 25-06-2021",
year = "2021",
language = "English",
series = "Optics InfoBase Conference Papers",
publisher = "The Optical Society",
booktitle = "The European Conference on Lasers and Electro-Optics, CLEO/Europe 2021",
address = "United States",
}