Computer Science – Information Theory
Scientific paper
2012-02-16
Computer Science
Information Theory
Submitted to IEEE Transactions on Information Theory
Scientific paper
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 paper, this observation is exploited for data transmission over integrable channels such as optical fibers, where pulse propagation is governed by the nonlinear Schr\"odinger 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 spectral amplitudes associated with nonlinear frequencies. 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.
Kschischang Frank R.
Yousefi Mansoor I.
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