Fast inverse nonlinear Fourier transform for generating multi-solitons in optical fiber

Sander Wahls, H. Vincent Poor

Research output: Chapter in Book/Report/Conference proceedingConference contribution

23 Scopus citations

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.

Original languageEnglish (US)
Title of host publicationProceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1676-1680
Number of pages5
ISBN (Electronic)9781467377041
DOIs
StatePublished - Sep 28 2015
EventIEEE International Symposium on Information Theory, ISIT 2015 - Hong Kong, Hong Kong
Duration: Jun 14 2015Jun 19 2015

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
Volume2015-June
ISSN (Print)2157-8095

Other

OtherIEEE International Symposium on Information Theory, ISIT 2015
CountryHong Kong
CityHong Kong
Period6/14/156/19/15

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Information Systems
  • Modeling and Simulation
  • Applied Mathematics

Keywords

  • Fast Algorithms
  • Nonlinear Fourier Transform
  • Nonlinear Schrödinger Equation
  • Optical Fiber
  • Solitons

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  • Cite this

    Wahls, S., & Poor, H. V. (2015). Fast inverse nonlinear Fourier transform for generating multi-solitons in optical fiber. In Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015 (pp. 1676-1680). [7282741] (IEEE International Symposium on Information Theory - Proceedings; Vol. 2015-June). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2015.7282741