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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

The limited modulation bandwidth of the light emitting diodes (LEDs) presents a challenge in the development of practical high-data-rate visible light communication (VLC) systems. In this paper, a novel adaptive coded probabilistic shaping…

Information Theory · Computer Science 2024-02-22 Amanat Kafizov , Ahmed Elzanaty , Mohamed-Slim Alouini

A new geometric shaping technique, referred to as coset shaping, is proposed and analyzed for coded QAM and PAM signaling. This method can be applied to both information and parity bits without introducing additional complexity. It is shown…

Information Theory · Computer Science 2026-03-30 Irina Bocharova , Maiara F. Bollauf , Boris Kudryashov

In this paper, 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…

Information Theory · Computer Science 2021-02-03 Hubert Dzieciol , Gabriele Liga , Eric Sillekens , Polina Bayvel , Domaniç Lavery

Two new asynchronous modulation techniques for molecular timing (MT) channels are proposed. One based on modulating information on the time between two consecutive releases of indistinguishable information particles, and one based on using…

Signal Processing · Electrical Eng. & Systems 2018-12-12 Nariman Farsad , Yonathan Murin , Weisi Guo , Chan-Byoung Chae , Andrew Eckford , Andrea Goldsmith

A class of circular 64-QAM that combines 'geometric' and 'probabilistic' shaping aspects is presented. It is compared to square 64-QAM in back-to-back, single-channel, and WDM transmission experiments. First, for the linear AWGN channel…

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

Modulation constellation design is a core challenge in digital communications, especially under stringent demands on spectral efficiency, robustness, and energy consumption. Classical schemes like PSK and QAM, while analytically tractable,…

Signal Processing · Electrical Eng. & Systems 2026-01-22 Nipun Agarwal

Determining the optimal number and identity of structural clusters from an ensemble of molecular configurations continues to be a challenge. Recent structural clustering methods have focused on the use of internal coordinates due to the…

Chemical Physics · Physics 2023-01-11 Heidi Klem , Glen M. Hocky , Martin McCullagh

Parallel, additive white Gaussian noise (AWGN) channels with an average sum power constraint are considered. It is shown how the waterfilling Shannon capacity can be approached by higher order modulation and probabilistic amplitude shaping…

Information Theory · Computer Science 2018-04-06 Fabian Steiner , Georg Böcherer , Patrick Schulte

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

In this paper, an unsupervised machine learning method for geometric constellation shaping is investigated. By embedding a differentiable fiber channel model within two neural networks, the learning algorithm is optimizing for a geometric…

In this letter, we propose a symbol-wise puncturing scheme to support hybrid automatic repeat request (HARQ) integrated probabilistic amplitude shaping (PAS). To prevent the probability distribution distortion caused by the traditional…

Information Theory · Computer Science 2022-07-26 Li Shen , Yongpeng Wu , Derrick Wing Kwan Ng , Wenjun Zhang , Xiang-Gen Xia

A modification to 5G New Radio (NR) polar code is proposed, which improves the error correction performance with higher order modulation through probabilistic shaping. The presented scheme mainly re-uses existing hardware at the…

Information Theory · Computer Science 2018-08-29 Onurcan İşcan , Wen Xu

Probabilistic shaping (PS) is investigated as a potential technique to approach the Shannon limit. However, it has been proved that conventional carrier phase recovery (CPR) algorithm designed for uniform distribution may have extra penalty…

Signal Processing · Electrical Eng. & Systems 2021-02-03 Jin Hu , Zhongliang Sun , Xuekai Xu , Mengqi Guo , Xizi Tang , Yueming Lu , Yaojun Qiao

Diffusion models are at the vanguard of generative AI research with renowned solutions such as ImageGen by Google Brain and DALL.E 3 by OpenAI. Nevertheless, the potential merits of diffusion models for communication engineering…

Information Theory · Computer Science 2023-11-17 Mehdi Letafati , Samad Ali , Matti Latva-aho

Multiple-input multiple-output (MIMO) transceiver design and probabilistic shaping (PS) are key enablers for high spectral efficiency in 6G wireless networks. This work proposes a distribution-aware MIMO transceiver optimized for PS…

Signal Processing · Electrical Eng. & Systems 2026-03-16 Tzu-Hsuan Chou , Chih-Hao Liu , Jing Jiang

Probability Shaping (PS) is a method to improve a Modulation and Coding Scheme (MCS) in order to increase reliability of data transmission. It is already implemented in some modern radio broadcasting and optic systems, but not yet in…

Information Theory · Computer Science 2023-07-06 Evgeny Bobrov , Adyan Dordzhiev

A novel design procedure for practical hierarchical distribution matchers (HiDMs) in probabilistically shaped constellation systems is presented. The proposed approach enables the determination of optimal parameters for any target…

Signal Processing · Electrical Eng. & Systems 2026-01-26 Pantea Nadimi Goki , Luca Potì

With the incredible results achieved from generative pre-trained transformers (GPT) and diffusion models, generative AI (GenAI) is envisioned to yield remarkable breakthroughs in various industrial and academic domains. In this paper, we…

Information Theory · Computer Science 2023-09-19 Mehdi Letafati , Samad Ali , Matti Latva-aho