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

Pavel Skvortcov; Ian David Phillips; Wladek Forysiak; Toshiaki Koike-akino; Keisuke Kojima; Kieran Parsons; David Millar

doi:10.1109/JSTQE.2021.3055476

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

Pavel Skvortcov, Ian David Phillips, Wladek Forysiak, Toshiaki Koike-akino, Keisuke Kojima, Kieran Parsons, David Millar

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	9340268
Journal	IEEE Journal of Selected Topics in Quantum Electronics
Volume	27
Issue number	3
Early online date	29 Jan 2021
DOIs	https://doi.org/10.1109/JSTQE.2021.3055476
Publication status	Published - 1 May 2021

Bibliographical note

© 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.

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

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10.1109/JSTQE.2021.3055476

Huffman-Coded Sphere Shaping for Extended-Reach Single-Span Links
© 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.
Accepted author manuscript, 1.02 MB

Cite this

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title = "Huffman-Coded Sphere Shaping for Extended Reach Single-Span Links",

abstract = "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 na{\"i}ve 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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AU - Kojima, Keisuke

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AU - Millar, David

N1 - © 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.

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JF - IEEE Journal of Selected Topics in Quantum Electronics

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M1 - 9340268

ER -

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

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Keywords

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