Introducing 4D Geometric Shell Shaping for Mitigating Nonlinear Interference Noise

Sebastiaan Goossens; Yunus Can Gultekin; Olga Vassilieva; Inwoong Kim; Paparao Palacharla; Chigo Okonkwo; Alex Alvarado

doi:10.1109/JLT.2022.3220402

Introducing 4D Geometric Shell Shaping for Mitigating Nonlinear Interference Noise

Sebastiaan Goossens (Corresponding author), Yunus Can Gultekin, Olga Vassilieva, Inwoong Kim, Paparao Palacharla, Chigo Okonkwo, Alex Alvarado

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

13 Citations (Scopus)

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Abstract

Four dimensional geometric shell shaping (4D-GSS) is introduced as an approach for closing the nonlinearity-caused shaping gap. This format is designed at the spectral efficiency of 8 b/4D-sym and is compared against polarization-multiplexed 16QAM (PM-16QAM) and probabilistically shaped PM-16QAM (PS-PM-16QAM) in a 400ZR-compatible transmission setup with high amount of nonlinearities. Reach increase and nonlinearity tolerance are evaluated in terms of achievable information rates and post-FEC bit-error rate. Numerical simulations for a single-span, single-channel show that 4D-GSS achieves increased nonlinear tolerance and reach increase against PM-16QAM and PS-PM-16QAM when optimized for bit-metric decoding (RBMD). In terms of RBMD, gains are small with a reach increase of 1.7% compared to PM-16QAM. When optimizing for mutual information, a larger reach increase of 3% is achieved compared to PM-16QAM. Moreover, the introduced GSS scheme provides a scalable framework for designing well-structured 4D modulation formats with low complexity.

Original language	English
Article number	9941172
Pages (from-to)	599-609
Number of pages	11
Journal	Journal of Lightwave Technology
Volume	41
Issue number	2
DOIs	https://doi.org/10.1109/JLT.2022.3220402
Publication status	Published - 15 Jan 2023

Keywords

Constellation shaping
four-dimensional constellations
geometric shaping
nonlinear fiber channel
probabilistic shaping

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10.1109/JLT.2022.3220402

Introducing 4D_Geometric Shell Shaping for Mitigating Nonlinear Interference NoiseFinal author version , 726 KB
pdfFinal published version, 1.34 MBLicence: TAVERNE

Cite this

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title = "Introducing 4D Geometric Shell Shaping for Mitigating Nonlinear Interference Noise",

abstract = "Four dimensional geometric shell shaping (4D-GSS) is introduced as an approach for closing the nonlinearity-caused shaping gap. This format is designed at the spectral efficiency of 8 b/4D-sym and is compared against polarization-multiplexed 16QAM (PM-16QAM) and probabilistically shaped PM-16QAM (PS-PM-16QAM) in a 400ZR-compatible transmission setup with high amount of nonlinearities. Reach increase and nonlinearity tolerance are evaluated in terms of achievable information rates and post-FEC bit-error rate. Numerical simulations for a single-span, single-channel show that 4D-GSS achieves increased nonlinear tolerance and reach increase against PM-16QAM and PS-PM-16QAM when optimized for bit-metric decoding (RBMD). In terms of RBMD, gains are small with a reach increase of 1.7% compared to PM-16QAM. When optimizing for mutual information, a larger reach increase of 3% is achieved compared to PM-16QAM. Moreover, the introduced GSS scheme provides a scalable framework for designing well-structured 4D modulation formats with low complexity.",

keywords = "Constellation shaping, four-dimensional constellations, geometric shaping, nonlinear fiber channel, probabilistic shaping",

author = "Sebastiaan Goossens and Gultekin, {Yunus Can} and Olga Vassilieva and Inwoong Kim and Paparao Palacharla and Chigo Okonkwo and Alex Alvarado",

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AU - Goossens, Sebastiaan

AU - Gultekin, Yunus Can

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AU - Kim, Inwoong

AU - Palacharla, Paparao

AU - Okonkwo, Chigo

AU - Alvarado, Alex

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N2 - Four dimensional geometric shell shaping (4D-GSS) is introduced as an approach for closing the nonlinearity-caused shaping gap. This format is designed at the spectral efficiency of 8 b/4D-sym and is compared against polarization-multiplexed 16QAM (PM-16QAM) and probabilistically shaped PM-16QAM (PS-PM-16QAM) in a 400ZR-compatible transmission setup with high amount of nonlinearities. Reach increase and nonlinearity tolerance are evaluated in terms of achievable information rates and post-FEC bit-error rate. Numerical simulations for a single-span, single-channel show that 4D-GSS achieves increased nonlinear tolerance and reach increase against PM-16QAM and PS-PM-16QAM when optimized for bit-metric decoding (RBMD). In terms of RBMD, gains are small with a reach increase of 1.7% compared to PM-16QAM. When optimizing for mutual information, a larger reach increase of 3% is achieved compared to PM-16QAM. Moreover, the introduced GSS scheme provides a scalable framework for designing well-structured 4D modulation formats with low complexity.

AB - Four dimensional geometric shell shaping (4D-GSS) is introduced as an approach for closing the nonlinearity-caused shaping gap. This format is designed at the spectral efficiency of 8 b/4D-sym and is compared against polarization-multiplexed 16QAM (PM-16QAM) and probabilistically shaped PM-16QAM (PS-PM-16QAM) in a 400ZR-compatible transmission setup with high amount of nonlinearities. Reach increase and nonlinearity tolerance are evaluated in terms of achievable information rates and post-FEC bit-error rate. Numerical simulations for a single-span, single-channel show that 4D-GSS achieves increased nonlinear tolerance and reach increase against PM-16QAM and PS-PM-16QAM when optimized for bit-metric decoding (RBMD). In terms of RBMD, gains are small with a reach increase of 1.7% compared to PM-16QAM. When optimizing for mutual information, a larger reach increase of 3% is achieved compared to PM-16QAM. Moreover, the introduced GSS scheme provides a scalable framework for designing well-structured 4D modulation formats with low complexity.

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Introducing 4D Geometric Shell Shaping for Mitigating Nonlinear Interference Noise

Abstract

Keywords

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

FUN-NOTCH: Fundamentals of the Nonlinear Optical Channel

SHY-FEC: Shaped Hybrid Forward Error Correction

Cite this

Introducing 4D Geometric Shell Shaping for Mitigating Nonlinear Interference Noise

Abstract

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

SHY-FEC: Shaped Hybrid Forward Error Correction

Cite this