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

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: College of Engineering & Physical Sciences > Aston Institute of Photonics Technology (AIPT)
College of Engineering & Physical Sciences
College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: This work is licensed under a Creative Commons Attribution 3.0 License. For more information, see http://creativecommons.org/licenses/by/3.0/ 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,torque ripple,switched reluctance machine (SRM),stator windings
Publication ISSN: 1558-0857
Last Modified: 29 Apr 2024 07:23
Date Deposited: 22 Feb 2018 14:20
Full Text Link:
Related URLs: http://ieeexplo ... cument/8295259/ (Publisher URL)
PURE Output Type: Article
Published Date: 2018-07-01
Published Online Date: 2018-02-20
Accepted Date: 2018-02-12
Authors: Shevchenko, Nikita A.
Derevyanko, Stanislav A.
Prilepsky, Jaroslaw E. (ORCID Profile 0000-0002-3035-4112)
Alvarado, Alex
Bayvel, Polina
Turitsyn, Sergei K. (ORCID Profile 0000-0003-0101-3834)

Download

[img]

Version: Accepted Version

| Preview

[img]

Version: Published Version

License: Creative Commons Attribution

| Preview

Export / Share Citation


Statistics

Additional statistics for this record