Introducing enumerative sphere shaping for optical communication systems with short blocklengths

Abdelkerim Amari; Sebastiaan Goossens; Yunus Can Gültekin; Olga Vassilieva; Inwoong Kim; Tadashi Ikeuchi; Chigo M. Okonkwo; Frans M.J. Willems; Alex Alvarado

doi:10.1109/JLT.2019.2943938

Introducing enumerative sphere shaping for optical communication systems with short blocklengths

Abdelkerim Amari (Corresponding author), Sebastiaan Goossens, Yunus Can Gültekin, Olga Vassilieva, Inwoong Kim, Tadashi Ikeuchi, Chigo M. Okonkwo, Frans M.J. Willems, Alex Alvarado

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Abstract

Probabilistic shaping based on constant composition distribution matching (CCDM) has received considerable attention as a way to increase the capacity of fiber optical communication systems. CCDM suffers from significant rate loss at short blocklengths and requires long blocklengths to achieve high shaping gain, which makes its implementation very challenging. In this paper, we propose to use enumerative sphere shaping (ESS) and investigate its performance for the nonlinear fiber optical channel. ESS has lower rate loss than CCDM at the same shaping rate, which makes it a suitable candidate to be implemented in real-time high-speed optical systems. In this paper, we first show that finite blocklength ESS and CCDM exhibit higher effective signal-to-noise ratio than their infinite blocklength counterparts. These results show that for the nonlinear fiber optical channel, large blocklengths should be avoided. We then show that for a 400 Gb/s dual-polarization 64-QAM WDM transmission system, ESS with short blocklengths outperforms both uniform signaling and CCDM. Gains in terms of both bit-metric decoding rate and bit-error rate are presented. ESS with a blocklength of 200 is shown to provide an extension reach of about 200 km in comparison with CCDM with the same blocklength. The obtained reach increase of ESS with a blocklength of 200 over uniform signaling is approximately 450 km (approximately 19%).

Original language	English
Article number	8850066
Pages (from-to)	5926-5936
Number of pages	11
Journal	Journal of Lightwave Technology
Volume	37
Issue number	23
DOIs	https://doi.org/10.1109/JLT.2019.2943938
Publication status	Published - 1 Dec 2019

Funding

Manuscript received April 16, 2019; revised June 27, 2019 and August 30, 2019; accepted September 12, 2019. Date of publication September 26, 2019; date of current version November 27, 2019. This work was supported by the Netherlands Organization for Scientific Research (NWO) via the VIDI Grant ICONIC (Project 15685). The work of A. Alvarado was supported by the European Research Council under the European Union’s Horizon 2020 Research and Innovation Programme under Grant Agreement 757791. (Corresponding author: Abdelkerim Amari.) A. Amari, Y. C. Gültekin, F. M. J. Willems, and A. Alvarado are with the Information and Communication Theory Lab, Signal Processing Systems Group, Department of Electrical Engineering, Eindhoven University of Technology, Eindhoven 5600 MB, The Netherlands (e-mail: [email protected]; [email protected]; [email protected]; [email protected]).

Keywords

Constant composition distribution matching
enumerative sphere shaping
fiber nonlinearity
optical communication systems
probabilistic shaping

Access to Document

10.1109/JLT.2019.2943938

arXiv versionFinal author version , 502 KB

https://arxiv.org/abs/1904.06601

Cite this

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title = "Introducing enumerative sphere shaping for optical communication systems with short blocklengths",

abstract = "Probabilistic shaping based on constant composition distribution matching (CCDM) has received considerable attention as a way to increase the capacity of fiber optical communication systems. CCDM suffers from significant rate loss at short blocklengths and requires long blocklengths to achieve high shaping gain, which makes its implementation very challenging. In this paper, we propose to use enumerative sphere shaping (ESS) and investigate its performance for the nonlinear fiber optical channel. ESS has lower rate loss than CCDM at the same shaping rate, which makes it a suitable candidate to be implemented in real-time high-speed optical systems. In this paper, we first show that finite blocklength ESS and CCDM exhibit higher effective signal-to-noise ratio than their infinite blocklength counterparts. These results show that for the nonlinear fiber optical channel, large blocklengths should be avoided. We then show that for a 400 Gb/s dual-polarization 64-QAM WDM transmission system, ESS with short blocklengths outperforms both uniform signaling and CCDM. Gains in terms of both bit-metric decoding rate and bit-error rate are presented. ESS with a blocklength of 200 is shown to provide an extension reach of about 200 km in comparison with CCDM with the same blocklength. The obtained reach increase of ESS with a blocklength of 200 over uniform signaling is approximately 450 km (approximately 19%).",

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AU - Kim, Inwoong

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Introducing enumerative sphere shaping for optical communication systems with short blocklengths

Abstract

Funding

Keywords

Access to Document

Other files and links

Fingerprint

DIGI-OPT: Digital and Optical Technologies for Fiber Optical Transmission

FUN-NOTCH: Fundamentals of the Nonlinear Optical Channel

ICONIC: Increasing the Capacity of Optical Nonlinear Interfering Channels

Kurtosis-limited Sphere Shaping for Nonlinear Interference Noise Reduction in Optical Channels

Achievable information rates of probabilistic amplitude shaping: an alternative approach via random sign-coding arguments

Enumerative sphere shaping for wireless communications with short packets

Cite this

Introducing enumerative sphere shaping for optical communication systems with short blocklengths

Abstract

Funding

Keywords

Access to Document

Other files and links

Fingerprint

Projects

DIGI-OPT: Digital and Optical Technologies for Fiber Optical Transmission

FUN-NOTCH: Fundamentals of the Nonlinear Optical Channel

ICONIC: Increasing the Capacity of Optical Nonlinear Interfering Channels

Research output

Kurtosis-limited Sphere Shaping for Nonlinear Interference Noise Reduction in Optical Channels

Achievable information rates of probabilistic amplitude shaping: an alternative approach via random sign-coding arguments

Enumerative sphere shaping for wireless communications with short packets

Cite this