New approaches to coding information using inverse scattering transform

Leonid L. Frumin, A.A. Gelash, Sergei K. Turitsyn

Research output: Contribution to journalArticlepeer-review


Remarkable mathematical properties of the integrable nonlinear Schrödinger equation (NLSE) can offer advanced solutions for the mitigation of nonlinear signal distortions in optical fiber links. Fundamental optical soliton, continuous, and discrete eigenvalues of the nonlinear spectrum have already been considered for the transmission of information in fiber-optic channels. Here, we propose to apply signal modulation to the kernel of the Gelfand-Levitan-Marchenko equations that offers the advantage of a relatively simple decoder design. First, we describe an approach based on exploiting the general N-soliton solution of the NLSE for simultaneous coding of N symbols involving 4×N coding parameters. As a specific elegant subclass of the general schemes, we introduce a soliton orthogonal frequency division multiplexing (SOFDM) method. This method is based on the choice of identical imaginary parts of the N-soliton solution eigenvalues, corresponding to equidistant soliton frequencies, making it similar to the conventional OFDM scheme, thus, allowing for the use of the efficient fast Fourier transform algorithm to recover the data. Then, we demonstrate how to use this new approach to control signal parameters in the case of the continuous spectrum.

Original languageEnglish
Article number223901
Number of pages5
JournalPhysical Review Letters
Issue number22
Early online date31 May 2017
Publication statusPublished - 2 Jun 2017

Bibliographical note


Funding: EPSRC (EP/J017582/1); and Ministry of Education and Science of the Russian Federation (14.B25.31.0003)


Dive into the research topics of 'New approaches to coding information using inverse scattering transform'. Together they form a unique fingerprint.

Cite this