Signal-dependent noise for b-modulation NFT-based transmission


The nonlinear Fourier transform (NFT) is a potentially promising way to mitigate nonlinear signal distortions in fiber-optic communication systems [1-4]. Recently, the new approach named the b-modulation was introduced [1] that allows to control the temporal duration of NFT-generated signals. In the 'traditional' NFT-based communication, the nonlinear spectrum, r (ξ) is used to modulate data. Then the signal duration depends on the signal energy and is not predetermined and controlled. The utilisation of the NFT scattering coefficient b (ξ) gives a possibility to control the pulse duration in time domain under condition that the Fourier spectrum of b (ξ) is localized. In particular, the OFDM format satisfies that condition. It was already shown that the properties of the effective noise in the NFT domain differ from a circular Gaussian noise. More specifically, such a noise is signal-dependent and non-circular [2, 3]. It was shown in [4] that the covariance B 1 and pseudo-covariance B 2 characteristics related to b-coefficient of NFT spectrum depend on the propagation distance. Here, we extend our previous work and examine noise characteristics for a novel b-modulation transmission introduced in [1]. We demonstrate that the variances behaviour is generic and do not depend on a specifics of NFT modulation. The presence of amplifier spontaneous emission in the optical link translates into the effective noise in the nonlinear spectral domain as an effective additive term N (ξ, b (ξ, 0)): e{-4 i \xi{2L}b}(\xi, L) = b(\xi, 0) + N(\xi, b(\xi, 0), L), where \xi is the 'nonlinear frequency' (NFT spectral parameter): \langle N (\xi)N (\xi ')\rangle = 2DL\pi \delta (\xi -\xi')B{1}(\xi, L), \langle N (\xi)N(\xi')\rangle = 2DL\pi \delta (\xi - \xi ')B {2}(\xi, L).

Publication DOI:
Divisions: College of Engineering & Physical Sciences
College of Engineering & Physical Sciences > Aston Institute of Photonics Technology (AIPT)
College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Event Title: CLEO/Europe-EQEC Conference
Event Type: Other
Event Location: International Congress Centre
Event Dates: 2019-06-23 - 2019-06-27
Uncontrolled Keywords: Spectroscopy,Electronic, Optical and Magnetic Materials,Instrumentation,Atomic and Molecular Physics, and Optics,Computer Networks and Communications
ISBN: 978-1-7281-0470-6, 978-1-7281-0469-0
Last Modified: 11 Mar 2024 08:08
Date Deposited: 28 Mar 2019 08:54
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Related URLs: https://ieeexpl ... ocument/8872660 (Publisher URL)
http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Conference contribution
Published Date: 2019-10-17
Accepted Date: 2019-03-25
Authors: Vasylchenkova, Anastasiia (ORCID Profile 0000-0002-6997-9427)
Pankratova, Maryna (ORCID Profile 0000-0002-5974-6160)
Prilepsky, Jaroslaw E. (ORCID Profile 0000-0002-3035-4112)
Chichkov, Nikolay B.
Turitsyn, Sergei K. (ORCID Profile 0000-0003-0101-3834)



Version: Accepted Version

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