Capacity Lower Bounds of the Noncentral Chi-Channel with Applications to Soliton Amplitude Modulation

Shevchenko, Nikita A., Derevyanko, Stanislav A., Prilepsky, Jaroslaw E., Alvarado, Alex, Bayvel, Polina and Turitsyn, Sergei K. (2018). Capacity Lower Bounds of the Noncentral Chi-Channel with Applications to Soliton Amplitude Modulation. IEEE Transactions on Communications , p. 1.

Abstract

The channel law for amplitude-modulated solitons transmitted through a nonlinear optical fibre with ideal distributed amplification and a receiver based on the nonlinear Fourier transform is a noncentral chi-distribution with 2n degrees of freedom, where n = 2 and n = 3 correspond to the single- and dual-polarisation cases, respectively. In this paper, we study capacity lower bounds of this channel under an average power constraint in bits per channel use. We develop an asymptotic semi-analytic approximation for a capacity lower bound for arbitrary n and a Rayleigh input distribution. It is shown that this lower bound grows logarithmically with signal-to-noise ratio (SNR), independently of the value of n. Numerical results for other continuous input distributions are also provided. A half-Gaussian input distribution is shown to give larger rates than a Rayleigh input distribution for n = 1; 2; 3. At an SNR of 25 dB, the best lower bounds we developed are approximately 3:68 bit per channel use. The practically relevant case of amplitude shift-keying (ASK) constellations is also numerically analysed. For the same SNR of 25 dB, a 16- ASK constellation yields a rate of approximately 3:45 bit per channel use.

Publication DOI: https://doi.org/10.1109/TCOMM.2018.2808286
Dataset DOI: https://doi.org/10.17036/b1cd278f-8de8-43b0-8102-bece9e260779
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Engineering & Applied Sciences > Electrical, electronic & power engineering
Engineering & Applied Sciences > Institute of Photonics
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. Funding: Engineering and Physical Sciences Research Council (EPSRC) project UNLOC (EP/J017582/1), by the Netherlands Organisation for Scientific Research (NWO) via the VIDI Grant ICONIC (project number 15685), and a UCL Graduate Research Scholarship (GRS).
Uncontrolled Keywords: Core losses, mutual inductance, stator windings, switched reluctance machine (SRM), torque ripple
Full Text Link: http://ieeexplo ... cument/8295259/
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Published Date: 2018-02-20
Authors: Shevchenko, Nikita A.
Derevyanko, Stanislav A.
Prilepsky, Jaroslaw E.
Alvarado, Alex
Bayvel, Polina
Turitsyn, Sergei K. ( 0000-0003-0101-3834)

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