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The choice of constellations largely affects the performance of communication systems. When designing constellations, both the locations and probability of occurrence of the points can be optimized. These approaches are referred to as…

Information Theory · Computer Science 2019-08-30 Maximilian Stark , Fayçal Ait Aoudia , Jakob Hoydis

We present a novel autoencoder-based learning of joint geometric and probabilistic constellation shaping for coded-modulation systems. It can maximize either the mutual information (for symbol-metric decoding) or the generalized mutual…

Information Theory · Computer Science 2021-12-10 Vahid Aref , Mathieu Chagnon

In this paper we carry out a joint optimization of probabilistic (PS) and geometric shaping (GS) for four-dimensional (4D) modulation formats in long-haul coherent wavelength division multiplexed (WDM) optical fiber communications using an…

We present a novel end-to-end autoencoder-based learning for coherent optical communications using a "parallelizable" perturbative channel model. We jointly optimized constellation shaping and nonlinear pre-emphasis achieving mutual…

Signal Processing · Electrical Eng. & Systems 2021-07-27 Vladislav Neskorniuk , Andrea Carnio , Vinod Bajaj , Domenico Marsella , Sergei K. Turitsyn , Jaroslaw E. Prilepsky , Vahid Aref

An autoencoder is used to optimize bit-to-symbol mappings for geometric constellation shaping. The mappings allow for net rate adaptivity without additional hardware complexity, while achieving up to 300km of transmission distance compared…

Signal Processing · Electrical Eng. & Systems 2023-01-04 Ognjen Jovanovic , Metodi P. Yankov , Francesco Da Ros , Darko Zibar

A new geometric shaping method is proposed, leveraging unsupervised machine learning to optimize the constellation design. The learned constellation mitigates nonlinear effects with gains up to 0.13 bit/4D when trained with a simplified…

Information Theory · Computer Science 2018-05-11 Rasmus T. Jones , Tobias A. Eriksson , Metodi P. Yankov , Darko Zibar

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…

We present an autoregressive end-to-end learning approach for probabilistic shaping on nonlinear fiber channels. Our proposed scheme learns the joint symbol distribution and provides a 0.3-bits/2D achievable information rate gain over an…

Machine Learning · Computer Science 2025-07-23 Mohammad Taha Askari , Lutz Lampe , Amirhossein Ghazisaeidi

Autoencoder-based geometric shaping is proposed that includes optimizing bit mappings. Up to 0.2 bits/QAM symbol gain in GMI is achieved for a variety of data rates and in the presence of transceiver impairments. The gains can be harvested…

Information Theory · Computer Science 2019-07-22 Rasmus T. Jones , Metodi P. Yankov , Darko Zibar

In this paper, probabilistic shaping is numerically and experimentally investigated for increasing the transmission reach of wavelength division multiplexed (WDM) optical communication system employing quadrature amplitude modulation (QAM).…

We propose an autoencoder-based geometric shaping that learns a constellation robust to SNR and laser linewidth estimation errors. This constellation maintains shaping gain in mutual information (up to 0.3 bits/symbol) with respect to QAM…

Signal Processing · Electrical Eng. & Systems 2022-04-26 Ognjen Jovanovic , Metodi P. Yankov , Francesco Da Ros , Darko Zibar

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

6G communications systems are expected to integrate radar-like sensing capabilities enabling novel use cases. However, integrated sensing and communications (ISAC) introduces a trade-off between communications and sensing performance…

Signal Processing · Electrical Eng. & Systems 2025-01-22 Benedikt Geiger , Fan Liu , Shihang Lu , Andrej Rode , Laurent Schmalen

An end-to-end learning method for constellation shaping with a shaping-encoder assisted transceiver architecture is presented. The shaping encoder, which produces shaping bits with a higher probability of zeros, is used to produce an…

Information Theory · Computer Science 2025-10-28 Harindu Jayarathne , Dileepa Marasinghe , Nandana Rajatheva , Matti Latva-aho

A simple geometric shaping method is proposed for optical wireless communication systems based on intensity modulation and direct detection (IM/DD) from an information-theoretic perspective. Constellations consisting of equiprobable levels…

Information Theory · Computer Science 2024-12-03 Suhua Zhou , Tianqi Li , Zhaoxi Fang , Jing Zhou , Wenyi Zhang

Probabilistic constellation shaping enables easy rate adaption and has been proven to reduce the gap to Shannon capacity. Constellation point probabilities are optimized to maximize either the mutual information or the bit-wise mutual…

Information Theory · Computer Science 2025-06-23 Shrinivas Chimmalgi , Laurent Schmalen , Vahid Aref

Deep Learning has a wide application in the area of natural language processing and image processing due to its strong ability of generalization. In this paper, we propose a novel neural network structure for jointly optimizing the…

Signal Processing · Electrical Eng. & Systems 2018-08-10 Banghua Zhu , Jintao Wang , Longzhuang He , Jian Song

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

Constellation shaping is reviewed and revised for a WDM unrepeated system with high spectral efficiency. It is shown that for a constellation size-constrained system, previous optimization techniques can be highly sub-optimal, and a…

Optimization and Control · Mathematics 2019-11-06 Metodi P. Yankov

As the demand for higher data throughput in coherent optical communication systems increases, we need to find ways to increase capacity in existing and future optical communication links. To address the demand for higher spectral…

Signal Processing · Electrical Eng. & Systems 2023-04-25 Andrej Rode , Benedikt Geiger , Shrinivas Chimmalgi , Laurent Schmalen
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