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Probabilistic shaping is a pragmatic approach to improve the performance of coherent optical fiber communication systems. In the nonlinear regime, the advantages offered by probabilistic shaping might increase thanks to the opportunity to…

Information Theory · Computer Science 2024-01-19 Stella Civelli , Enrico Forestieri , Marco Secondini

Optimizing the input probability distribution of a discrete-time channel is a standard step in the information-theoretic analysis of digital communication systems. Nevertheless, many practical communication systems transmit uniformly and…

Signal Processing · Electrical Eng. & Systems 2024-12-13 Mohammad Taha Askari , Lutz Lampe

Probabilistic amplitude shaping (PAS) is a coded modulation strategy in which constellation shaping and channel coding are combined. PAS has attracted considerable attention in both wireless and optical communications. Achievable…

Information Theory · Computer Science 2020-07-14 Yunus Can Gültekin , Alex Alvarado , Frans M. J. Willems

The performance of different probabilistic amplitude shaping (PAS) techniques in the nonlinear regime is investigated, highlighting its dependence on the PAS block length and the interaction with carrier phase recovery (CPR). Different PAS…

Information Theory · Computer Science 2023-05-24 Stella Civelli , Emanuele Parente , Enrico Forestieri , Marco Secondini

The interaction between carrier phase recovery and probabilistic amplitude shaping (PAS) in the nonlinear regime is investigated. We show that, for sufficiently high signal-to-noise ratio, the first provides the same inter-channel…

Information Theory · Computer Science 2020-09-03 Stella Civelli , Enrico Forestieri , Marco Secondini

We show that short-length probabilistic shaping reduces nonlinear interference in optical fiber transmission. SNR improvements of up to 0.8 dB are obtained. The shaping gain vanishes when interleaving is employed and not undone before…

Signal Processing · Electrical Eng. & Systems 2020-03-27 Tobias Fehenberger , Helmut Griesser , Jörg-Peter Elbers

Probabilistic Amplitude Shaping (PAS) is a coded-modulation scheme in which the encoder is a concatenation of a distribution matcher with a systematic Forward Error Correction (FEC) code. For reduced computational complexity the decoder can…

Information Theory · Computer Science 2018-06-05 Rana Ali Amjad

Probabilistic amplitude shaping (PAS) can flexibly vary the spectral efficiency (SE) of fiber-optic systems. In this paper, we demonstrate the application of PAS to bit-wise hard decision decoding (HDD) of product codes (PCs) by finding the…

Information Theory · Computer Science 2020-08-17 Alireza Sheikh , Alexandre Graell i Amat , Alex Alvarado

We introduce neural probabilistic amplitude shaping, a joint-distribution learning framework for coherent fiber systems. The proposed scheme provides a 0.5 dB signal-to-noise ratio gain over sequence selection for dual-polarized 64-QAM…

Machine Learning · Computer Science 2026-02-04 Mohammad Taha Askari , Lutz Lampe , Amirhossein Ghazisaeidi

We propose two novel techniques to implement sequence selection (SS) for fiber nonlinearity mitigation, demonstrating a nonlinear shaping gain of 0.24 bits/s/Hz, just 0.1 bits/s/Hz below the SS capacity lower bound.

Information Theory · Computer Science 2022-10-25 Stella Civelli , Enrico Forestieri , Marco Secondini

We introduce a practical sign-dependent sequence selection metric for probabilistic amplitude shaping and propose a simple method to predict the gains in signal-to-noise ratio (SNR) for sequence selection. The proposed metric provides a…

Signal Processing · Electrical Eng. & Systems 2024-07-15 Mohammad Taha Askari , Lutz Lampe

We consider probabilistic amplitude shaping (PAS) as a means of increasing the spectral efficiency of fiber-optic communication systems. In contrast to previous works in the literature, we consider probabilistic shaping with hard decision…

Information Theory · Computer Science 2018-04-04 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva

Probabilistic shaping for intensity modulation and direct detection (IM/DD) links is discussed and a peak power constraint determined by the limited modulation extinction ratio (ER) of optical modulators is introduced. The input…

Information Theory · Computer Science 2021-02-03 Thomas Wiegart , Francesco Da Ros , Metodi Plamenov Yankov , Fabian Steiner , Simone Gaiarin , Richard Wesel

We generalize probabilistic amplitude shaping (PAS) with binary codes to the case of non-binary codes defined over prime finite fields. Firstly, we introduce probabilistic shaping via time sharing where shaping applies to information…

Information Theory · Computer Science 2017-01-30 Joseph J. Boutros , Fanny Jardel , Cyril Méasson

We introduce a trainable coded modulation scheme that enables joint optimization of the bit-wise mutual information (BMI) through probabilistic shaping, geometric shaping, bit labeling, and demapping for a specific channel model and for a…

Information Theory · Computer Science 2020-04-15 Fayçal Ait Aoudia , Jakob Hoydis

Probabilistic amplitude shaping (PAS) is on track to become the de facto coded modulation standard for communication systems aiming to operate close to channel capacity at high transmission rates. The essential component of PAS that breeds…

Information Theory · Computer Science 2022-08-16 Yunus Can Gültekin , Frans M. J. Willems , Alex Alvarado

Probabilistic amplitude shaping (PAS) combines an outer shaping layer with an inner, systematic forward error correction (FEC) layer to close the shaping gap. Proposed for PAS, constant composition distribution matching (CCDM) produces…

Signal Processing · Electrical Eng. & Systems 2019-11-13 Yunus Can Gültekin , Wim J. van Houtum , Arie Koppelaar , Frans M. J. Willems

Probabilistic shaping of quadrature amplitude modulation (QAM) is used to enhance the sensitivity of an optical communication system. Sensitivity gains of 0.43 dB and 0.8 dB are demonstrated in back-to-back experiments by shaping of 16QAM…

Information Theory · Computer Science 2016-01-19 Tobias Fehenberger , Domaniç Lavery , Robert Maher , Alex Alvarado , Polina Bayvel , Norbert Hanik

This paper studies the impact of probabilistic shaping on effective signal-to-noise ratios (SNRs) and achievable information rates (AIRs) in a back-to-back configuration and in unrepeated nonlinear fiber transmissions. For back-to-back,…

Linear layered probabilistic shaping (LLPS) is proposed, an architecture for linear codes to efficiently encode to shaped code words. In the previously proposed probabilistic amplitude shaping (PAS) architecture, a distribution matcher (DM)…

Information Theory · Computer Science 2019-02-28 Georg Böcherer , Diego Lentner , Alessandro Cirino , Fabian Steiner
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