@inproceedings{55ad478df0234c90bdc1c86b0df91cfb,
title = "Fast inverse nonlinear Fourier transform for generating multi-solitons in optical fiber",
abstract = "The achievable data rates of current fiber-optic wavelength-division-multiplexing (WDM) systems are limited by nonlinear interactions between different subchannels. Recently, it was thus proposed to replace the conventional Fourier transform in WDM systems with an appropriately defined nonlinear Fourier transform (NFT). The computational complexity of NFTs is a topic of current research. In this paper, a fast inverse NFT algorithm for the important special case of multi-solitonic signals is presented. The algorithm requires only O(Dlog2 D) floating point operations to compute D samples of a multi-soliton. To the best of our knowledge, this is the first algorithm for this problem with log2-linear complexity. The paper also includes a many-samples analysis of the generated nonlinear Fourier spectra.",
keywords = "Fast Algorithms, Nonlinear Fourier Transform, Nonlinear Schr{\"o}dinger Equation, Optical Fiber, Solitons",
author = "Sander Wahls and Poor, {H. Vincent}",
note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; IEEE International Symposium on Information Theory, ISIT 2015 ; Conference date: 14-06-2015 Through 19-06-2015",
year = "2015",
month = sep,
day = "28",
doi = "10.1109/ISIT.2015.7282741",
language = "English (US)",
series = "IEEE International Symposium on Information Theory - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1676--1680",
booktitle = "Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015",
address = "United States",
}