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.
|Pages (from-to)||2978 - 2993|
|Number of pages||16|
|Journal||IEEE Transactions on Communications|
|Early online date||20 Feb 2018|
|Publication status||Published - 1 Jul 2018|
Bibliographical noteThis 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).
- Core losses
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A Lower Bound on the Capacity of the Noncentral Chi Channel with Applications to Soliton Amplitude Modulation
Shevchenko, N. A. (Creator), Derevyanko, S. (Creator), Prylepskiy, Y. (Creator), Alvarado, A. (Creator), Bayvel, P. (Creator) & Turitsyn, S. (Creator), Aston Data Explorer, 22 Feb 2018
DOI: 10.17036/b1cd278f-8de8-43b0-8102-bece9e260779, https://ieeexplore.ieee.org/document/8295259