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Related papers: Low-Complexity Geometric Shaping

200 papers

Approaching capacity with low complexity is a very challenging task. In this paper, we review and compare three promising coding solutions to achieve that, which are suitable for future very high-throughput, low-complexity optical…

Information Theory · Computer Science 2019-09-20 Alexandre Graell i Amat , Gianluigi Liva , Fabian Steiner

We focus on full-rate, fast-decodable space-time block codes (STBCs) for 2x2 and 4x2 multiple-input multiple-output (MIMO) transmission. We first derive conditions for reduced-complexity maximum-likelihood decoding, and apply them to a…

Information Theory · Computer Science 2008-03-18 Ezio Biglieri , Yi Hong , Emanuele Viterbo

We study the approximate message-passing decoder for sparse superposition coding on the additive white Gaussian noise channel and extend our preliminary work [1]. We use heuristic statistical-physics-based tools such as the cavity and the…

Information Theory · Computer Science 2017-07-17 Jean Barbier , Florent Krzakala

Autoencoder-based deep learning is applied to jointly optimize geometric and probabilistic constellation shaping for optical coherent communication. The optimized constellation shaping outperforms the 256 QAM Maxwell-Boltzmann probabilistic…

Signal Processing · Electrical Eng. & Systems 2022-04-18 Vladislav Neskorniuk , Andrea Carnio , Domenico Marsella , Sergei K. Turitsyn , Jaroslaw E. Prilepsky , Vahid Aref

Satellite constellations in low-Earth orbit are now widespread, enabling positioning, Earth imaging, and communications. In this paper we address the solution of learning problems using these satellite constellations. In particular, we…

Machine Learning · Computer Science 2025-11-26 Ruxandra-Stefania Tudose , Moritz H. W. Grüss , Grace Ra Kim , Karl H. Johansson , Nicola Bastianello

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

We propose a coding scheme that achieves the capacity of the compound MIMO channel with algebraic lattices. Our lattice construction exploits the multiplicative structure of number fields and their group of units to absorb ill-conditioned…

Information Theory · Computer Science 2017-01-11 Antonio Campello , Cong Ling , Jean-Claude Belfiore

The Golden Code is a full-rate full-diversity space-time code, which achieves maximum coding gain for Multiple-Input Multiple-Output (MIMO) systems with two transmit and two receive antennas. Since four information symbols taken from an…

Information Theory · Computer Science 2012-08-17 Boyu Li , Ender Ayanoglu

We study the problem of constructing coded modulation schemes over multidimensional signal sets in Nakagami-$m$ block-fading channels. In particular, we consider the optimal diversity reliability exponent of the error probability when the…

Information Theory · Computer Science 2007-11-26 Albert Guillen i Fabregas , Giuseppe Caire

Achieving high-precision light manipulation is crucial for delivering information through complex media with high fidelity. However, existing spatial light modulation devices face a fundamental tradeoff between speed and accuracy. Digital…

Optics · Physics 2026-03-16 Li-Yu Yu , Sixian You

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

An energy-efficient approach is presented for shaping a bit-interleaved low-density parity-check (LDPC) coded amplitude phase-shift keying (APSK) system. A subset of the interleaved bits output by a binary LDPC encoder are passed through a…

Information Theory · Computer Science 2013-04-22 Matthew C. Valenti , Xingyu Xiang

This paper investigates the bounds on channel capacity and constellation shaping under memoryless mixed noise, which is composed of impulsive noise (IN) and white Gaussian noise (WGN). The capacity bounds are derived using the entropy power…

Information Theory · Computer Science 2025-12-04 Tianfu Qi , Jun Wang

Two novel 5.5 bit/4D modulation formats are experimentally demonstrated to transmit over 9680 km of SSMF. A reach increase of 29.4% over the 6 bit/4D PM-8QAM is shown. Furthermore, increased nonlinear tolerance with respect to PM-8QAM is…

Signal Processing · Electrical Eng. & Systems 2020-11-02 Sjoerd van der Heide , Bin Chen , Menno van den Hout , Hartmut Hafermann , Ton Koonen , Alex Alvarado , Chigo Okonkwo

A many-to-one mapping geometric constellation shaping scheme is proposed with a fixed modulation format, fixed FEC engine and rate adaptation with an arbitrarily small step. An autoencoder is used to optimize the labelings and constellation…

Signal Processing · Electrical Eng. & Systems 2023-07-20 Metodi P. Yankov , Ognjen Jovanovic , Darko Zibar , Francesco Da Ros

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

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

Hierarchical modulation (HM) is able to provide different levels of protection for data streams and achieve a rate region that cannot be realized by traditional orthogonal schemes, such as time division (TD). Nevertheless, criterions and…

Information Theory · Computer Science 2016-10-19 Baicen Xiao , Kexin Xiao , Zhiyong Chen , Hui Liu

Spatial Modulation (SM) can utilize the index of the transmit antenna (TA) to transmit additional information. In this paper, to improve the performance of SM, a non-uniform constellation (NUC) and pre-scaling coefficients optimization…

Information Theory · Computer Science 2023-10-25 Xinghao Guo , Hanjiang Hong , Yin Xu , Yi-yan Wu , Dazhi He , Wenjun Zhang

The mutual information of bit-interleaved coded modulation (BICM) systems, sometimes called the BICM capacity, is investigated at low signal-to-noise ratio (SNR), i.e., in the wideband regime. A new linear transform that depends on bits'…

Information Theory · Computer Science 2014-04-23 Erik Agrell , Alex Alvarado