Huffman-Coded Sphere Shaping for Extended Reach Single-Span Links


Huffman-coded sphere shaping (HCSS) is an algorithm for finite-length probabilistic constellation shaping, which provides nearly optimal energy efficiency at low implementation complexity. In this paper, we experimentally study the nonlinear performance of HCSS employing dual-polarization 64-ary quadrature amplitude modulation (DP-64QAM) in an extended-reach single-span link comprising 200 km of standard single-mode fiber (SSMF). We investigate the effects of shaping sequence length, dimensionality of symbol mapping, and shaping rate. We determine that the naïve approach of Maxwell-Boltzmann distribution matching-which is optimal in the additive white Gaussian noise channel-provides a maximum achievable information rate (AIR) gain of 0.18 bits/4D-symbol with respect to uniform signaling at optimum launch power in the infinite length regime. Conversely, HCSS can achieve a gain of 0.37 bits/4D-symbol over uniform signaling using amplitude sequence length of 32, which may be implemented without multiplications, using integer comparison and addition operations only. Coded system performance, with a net data rate of approximately 425 Gb/s for both shaped and uniform inputs, is also analyzed.

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Divisions: College of Engineering & Physical Sciences > Aston Institute of Photonics Technology (AIPT)
College of Engineering & Physical Sciences
Additional Information: © 2021 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: The experimental work carried out at Aston University was supported by UK EPSRC grant EP/M009092/1. We thank Lumentum UK for loan of the CFP2-ACO and studentship support of Pavel Skvortcov, and Socionext for loan of the DAC/ADC DKs used in this work.
Uncontrolled Keywords: Adaptive optics,Lattices,Nonlinear optics,Optical fiber communication,Optical polarization,Optical pulse shaping,Optical transmitters,Probabilistic logic,nonlinear fiber channel,probabilistic shaping,single-span links,sphere shaping,Atomic and Molecular Physics, and Optics,Electrical and Electronic Engineering
Publication ISSN: 1077-260X
Last Modified: 28 May 2024 07:20
Date Deposited: 04 Feb 2021 09:09
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Related URLs: https://ieeexpl ... cument/9340268/ (Publisher URL)
http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2021-05-01
Published Online Date: 2021-01-29
Accepted Date: 2021-01-01
Authors: Skvortcov, Pavel
Phillips, Ian David (ORCID Profile 0000-0002-2776-8939)
Forysiak, Wladek (ORCID Profile 0000-0001-5411-1193)
Koike-akino, Toshiaki
Kojima, Keisuke
Parsons, Kieran
Millar, David



Version: Accepted Version

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