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Open AccessJournal ArticleDOI

Geometric Shaping of 2-D Constellations in the Presence of Laser Phase Noise

TLDR
In this paper, a geometric shaping (GS) strategy was proposed to design 8, 16, 32, and 64 -ary modulation formats for the optical fiber channel impaired by both additive white Gaussian (AWGN) and phase noise.
Abstract
In this article, we propose a geometric shaping (GS) strategy to design 8, 16, 32, and 64 -ary modulation formats for the optical fibre channel impaired by both additive white Gaussian (AWGN) and phase noise. The constellations were optimised to maximise generalised mutual information (GMI) using a mismatched channel model. The presented formats demonstrate an enhanced signal-to-noise ratio (SNR) tolerance in high phase noise regimes when compared with their quadrature amplitude modulation (QAM) or AWGN-optimised counterparts. By putting the optimisation results in the context of the 400ZR implementation agreement, we show that GS alone can either relax the laser linewidth (LW) or carrier phase estimation (CPE) requirements of 400 Gbit/s transmission links and beyond. Following the GMI validation, the performance of the presented formats was examined in terms of post forward error correction (FEC) bit-error-rate (BER) for a soft decision (SD) extended Hamming code (128, 120), implemented as per the 400ZR implementation agreement. We demonstrate gains of up to 1.2 dB when compared to the 64 -ary AWGN shaped formats.

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Journal ArticleDOI

2048-QAM transmission at 15 GBd over 100 km using geometric constellation shaping.

TL;DR: In this paper, a pilot-aided digital signal processing (DSP) chain in combination with high-order geometric constellation shaping was used to increase the achievable information rates (AIRs) in standard intradyne coherent transmission systems.
Journal ArticleDOI

End-to-End Deep Learning for Long-haul Fiber Transmission Using Differentiable Surrogate Channel

TL;DR: This paper analyzes why end-to-end deep learning can optimize the transmitter effectively in theory and derives the mean square error (MSE) loss for E2EDL, which is suitable for practice training and believes the proposed E2 EDL with DSC can achieve a tight lower bound of GCS performance limitation and open the door to transmitter optimization in the practical long-haul fiber transmission.
Journal ArticleDOI

End-to-End Learning of a Constellation Shape Robust to Channel Condition Uncertainties

TL;DR: In this article , the authors proposed to geometrically optimize a constellation shape that is robust to uncertainties in the channel conditions by utilizing end-to-end learning, and the results indicate that the learned constellations are more robust to the uncertainties in channel conditions compared to a standard constellation scheme such as quadrature amplitude modulation and standard geometric constellation shaping techniques.
Posted Content

End-to-end Learning of a Constellation Shape Robust to Channel Condition Uncertainties

TL;DR: In this article, the authors proposed to geometrically optimize a constellation shape that is robust to uncertainties in the channel conditions by utilizing end-to-end learning, and the results indicate that the learned constellations are more robust to uncertainty in channel conditions compared to a standard constellation scheme such as quadrature amplitude modulation and more importantly standard geometric constellation shaping techniques.
Journal ArticleDOI

Geometrically-Shaped Multi-Dimensional Modulation Formats in Coherent Optical Transmission Systems

TL;DR: In this article , a nonlinear interference (NLI) model is introduced for designing nonlinear-tolerant 4D modulation formats for a single-span optical fiber transmission system.
References
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Journal ArticleDOI

Class of algorithms for decoding block codes with channel measurement information

TL;DR: It is shown that as the signal-to-noise ratio (SNR) increases, the asymptotic behavior of these decoding algorithms cannot be improved, and computer simulations indicate that even for SNR the performance of a correlation decoder can be approached by relatively simple decoding procedures.
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Efficient Modulation for Band-Limited Channels

TL;DR: This paper attempts to present a comprehensive tutorial survey of the development of efficient modulation techniques for bandlimited channels, such as telephone channels, with principal emphasis on coded modulation techniques, in which there is an explosion of current interest.
Journal ArticleDOI

Feedforward Carrier Recovery for Coherent Optical Communications

TL;DR: In this paper, a carrier-synchronization scheme for coherent optical communications that uses a feed-forward architecture that can be implemented in digital hardware without a phase-locked loop is studied.
Journal ArticleDOI

Replacing the Soft-Decision FEC Limit Paradigm in the Design of Optical Communication Systems

TL;DR: It is shown that for low code rates and high-order modulation formats, the use of the soft-decision FEC limit paradigm can underestimate the spectral efficiencies by up to 20%.
Journal ArticleDOI

Probabilistic Shaping and Forward Error Correction for Fiber-Optic Communication Systems

TL;DR: A layered PS-FEC architecture consisting of a PS encoder and an FEC encoder is introduced, of which probabilistic amplitude shaping is a practical instance and achievable PS encoding rates and FEC decoding rates are derived using information-theoretic arguments.
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