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Information Transmission Using the Nonlinear Fourier Transform, Part III: Spectrum Modulation

2013/02/28 by Mansoor I. Yousefi, Frank R. Kschischang · 156 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Optical Network Technologies #Delta modulation #Fourier transform #Modulation (music) #Multiplexing #Nonlinear Photonic Systems #Nonlinear distortion #Nonlinear system #Optical Network Technologies #SIGNAL (programming language) #Signal processing #Transmission (telecommunications) #Wavelength-division multiplexing #cs.IT #math.IT

paper · pdf · doi:10.1109/tit.2014.2321155

published in IEEE Transactions on Information Theory 60(7), 4346-4369 (Institute of Electrical and Electronics Engineers) · Updated version of IEEE Transactions on Information Theory, vol. 60, no. 7, pp. 4346--4369, July, 2014

openalex publication_date 2014/04/30 · arxiv created 2014/10/07 · arxiv updated 2014/10/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Motivated by the looming capacity crunch in fiber-optic networks, information transmission over such systems is revisited. Among numerous distortions, interchannel interference in multiuser wavelength-division multiplexing (WDM) is identified as the seemingly intractable factor limiting the achievable rate at high launch power. However, this distortion and similar ones arising from nonlinearity are primarily due to the use of methods suited for linear systems, namely WDM and linear pulse-train transmission, for the nonlinear optical channel. Exploiting the integrability of the nonlinear Schrödinger (NLS) equation, a nonlinear frequency-division multiplexing (NFDM) scheme is presented, which directly modulates noninteracting signal degrees-of-freedom under NLS propagation. The main distinction between this and previous methods is that NFDM is able to cope with the nonlinearity, and thus, as the signal power or transmission distance is increased, the new method does not suffer from the deterministic crosstalk between signal components, which has degraded the performance of previous approaches. In this paper, emphasis is placed on modulation of the discrete component of the nonlinear Fourier transform of the signal and some simple examples of achievable spectral efficiencies are provided.

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