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Information Transmission Using the Nonlinear Fourier Transform, Part I: Mathematical Tools

Yousefi, Mansoor I. ; Kschischang, Frank R.

IEEE transactions on information theory, 2014-07, Vol.60 (7), p.4312-4328 [Periódico revisado por pares]

New York, NY: IEEE

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Título:
Information Transmission Using the Nonlinear Fourier Transform, Part I: Mathematical Tools
Autor: Yousefi, Mansoor I. ; Kschischang, Frank R.
Assuntos: Applied sciences ; Channels ; Convolution ; Data transmission ; Dispersion ; Dispersions ; Eigenvalues and eigenfunctions ; Equations ; Exact sciences and technology ; Fourier transforms ; Information theory ; Information, signal and communications theory ; Mathematical analysis ; Mathematical model ; Mathematical models ; Mathematics ; Multiplexing ; Nonlinearity ; Optical fiber communications ; Optical fibers ; Optical telecommunications ; Partial differential equations ; Propagation ; Schroedinger equation ; Signal and communications theory ; Solitons ; Systems, networks and services of telecommunications ; Telecommunications ; Telecommunications and information theory ; Transmission and modulation (techniques and equipments)
É parte de: IEEE transactions on information theory, 2014-07, Vol.60 (7), p.4312-4328
Notas: ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
Descrição: The nonlinear Fourier transform (NFT), a powerful tool in soliton theory and exactly solvable models, is a method for solving integrable partial differential equations governing wave propagation in certain nonlinear media. The NFT decorrelates signal degrees-of-freedom in such models, in much the same way that the Fourier transform does for linear systems. In this three-part series of papers, this observation is exploited for data transmission over integrable channels, such as optical fibers, where pulse propagation is governed by the nonlinear Schrödinger equation. In this transmission scheme, which can be viewed as a nonlinear analogue of orthogonal frequency-division multiplexing commonly used in linear channels, information is encoded in the nonlinear frequencies and their spectral amplitudes. Unlike most other fiber-optic transmission schemes, this technique deals with both dispersion and nonlinearity directly and unconditionally without the need for dispersion or nonlinearity compensation methods. This paper explains the mathematical tools that underlie the method.
Editor: New York, NY: IEEE
Idioma: Inglês

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Information Transmission Using the Nonlinear Fourier Transform, Part I: Mathematical Tools

Yousefi, Mansoor I. ; Kschischang, Frank R.

New York, NY: IEEE

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