Sillekens, Eric;
Liga, Gabriele;
Lavery, Domanic;
Bayvel, Polina;
Killey, Robert I;
(2022)
High-Cardinality Geometrical Constellation Shaping for the Nonlinear Fibre Channel.
Journal of Lightwave Technology
10.1109/jlt.2022.3197366.
(In press).
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Abstract
This paper presents design methods for highly efficient optimisation of geometrically shaped constellations to maximise data throughput in optical communications. It describes methods to analytically calculate the information-theoretical loss and the gradient of this loss as a function of the input constellation shape. The gradients of the \ac{MI} and \ac{GMI} are critical to the optimisation of geometrically-shaped constellations. It presents the analytical derivative of the achievable information rate metrics with respect to the input constellation. The proposed method allows for improved design of higher cardinality and higher-dimensional constellations for optimising both linear and nonlinear fibre transmission throughput. Near-capacity achieving constellations with up to 8192 points for both 2 and 4 dimensions, with generalised mutual information (GMI) within 0.06 bit/2Dsymbol of additive white Gaussian noise channel (AWGN) capacity, are presented. Additionally, a design algorithm reducing the design computation time from days to minutes is introduced, allowing the presentation of optimised constellations for both linear AWGN and nonlinear fibre channels for a wide range of signal-to-noise ratios.
| Type: | Article |
|---|---|
| Title: | High-Cardinality Geometrical Constellation Shaping for the Nonlinear Fibre Channel |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1109/jlt.2022.3197366 |
| Publisher version: | https://doi.org/10.1109/JLT.2022.3197366 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Optical fibers , Jacobian matrices , Symbols , Optimization , Signal to noise ratio , Mutual information , AWGN channels |
| UCL classification: | UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10153965 |
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