title: Nonlinear inverse synthesis and eigenvalue division multiplexing in optical fiber channels.
abstract: We scrutinize the concept of integrable nonlinear communication channels, resurrecting and extending the idea of eigenvalue communications in a novel context of nonsoliton coherent optical communications. Using the integrable nonlinear Schrödinger equation as a channel model, we introduce a new approach-the nonlinear inverse synthesis method-for digital signal processing based on encoding the information directly onto the nonlinear signal spectrum. The latter evolves trivially and linearly along the transmission line, thus, providing an effective eigenvalue division multiplexing with no nonlinear channel cross talk. The general approach is illustrated with a coherent optical orthogonal frequency division multiplexing transmission format. We show how the strategy based upon the inverse scattering transform method can be geared for the creation of new efficient coding and modulation standards for the nonlinear channel.
authors.affiliation: Aston Institute of Photonic Technologies, Aston University, B4 7ET Birmingham, United Kingdom.
authors.forename: Jaroslaw E
authors.initials: JE
authors.lastname: Prilepsky
authors.affiliation: Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel.
authors.forename: Stanislav A
authors.initials: SA
authors.lastname: Derevyanko
authors.affiliation: Aston Institute of Photonic Technologies, Aston University, B4 7ET Birmingham, United Kingdom.
authors.forename: Keith J
authors.initials: KJ
authors.lastname: Blow
authors.affiliation: Department of Mathematics, University of Arizona, 617 North Santa Rita Avenue, P.O. Box 210089, Tucson, Arizona 85721, USA.
authors.forename: Ildar
authors.initials: I
authors.lastname: Gabitov
authors.affiliation: Aston Institute of Photonic Technologies, Aston University, B4 7ET Birmingham, United Kingdom.
authors.forename: Sergei K
authors.initials: SK
authors.lastname: Turitsyn