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In this paper, we study amplitude shaping schemes for the probabilistic amplitude shaping (PAS) framework as well as algorithms for constant-composition distribution matching (CCDM). Huffman-coded sphere shaping (HCSS) is discussed in…

Signal Processing · Electrical Eng. & Systems 2020-06-15 Tobias Fehenberger , David S. Millar , Toshiaki Koike-Akino , Keisuke Kojima , Kieran Parsons , Helmut Griesser

The capacity achieving probability mass function (PMF) of a finite signal constellation with an average power constraint is in most cases non-uniform. A common approach to generate non-uniform input PMFs is Huffman shaping, which consists…

Information Theory · Computer Science 2011-06-28 Georg Böcherer , Fabian Altenbach , Rudolf Mathar

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

In this paper, a rate adaptive geometric constellation shaping (GCS) scheme which is fully backward-compatible with existing state of the art bit-interleaved coded modulation (BICM) systems is proposed and experimentally demonstrated. The…

Signal Processing · Electrical Eng. & Systems 2024-03-14 Metodi Plamenov Yankov , Smaranika Swain , Ognjen Jovanovic , Darko Zibar , Francesco Da Ros

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…

Training and serving Large Language Models (LLMs) relies heavily on parallelization and collective operations, which are frequently bottlenecked by network bandwidth. Lossless compression using e.g., Huffman codes can alleviate the issue,…

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 Four-Dimensional (4D) energy limit enumerative sphere shaping (ESS) of $M$-QAM signaling to minimize rate loss and improve the transmission performance over non-linear WDM optical-fiber systems. Simulation results show that the…

Information Theory · Computer Science 2023-11-30 Jingtian Liu , Élie Awwad , Yves Jaouën

Probabilistic shaping based on constant composition distribution matching (CCDM) has received considerable attention as a way to increase the capacity of fiber optical communication systems. CCDM suffers from significant rate loss at short…

We transmit probabilistic enumerative sphere shaped dual-polarization 64-QAM at 350Gbit/s/channel over 1610km SSMF using a short blocklength of 200. A reach increase of 15% over constant composition distribution matching with identical…

In this paper, we propose an enhanced Huffman coded orthogonal frequency-division multiplexing with index modulation (EHC-OFDM-IM) scheme. The proposed scheme is capable of utilizing all legitimate subcarrier activation patterns (SAPs) and…

Information Theory · Computer Science 2020-01-07 Shuping Dang , Shuaishuai Guo , Justin P. Coon , Basem Shihada , Mohamed-Slim Alouini

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

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

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

The short message service (SMS) is a wireless medium of transmission that allows you to send brief text messages. Cell phone devices have an uttermost SMS capacity of 1,120 bits in the traditional system. Moreover, the conventional SMS…

Data Structures and Algorithms · Computer Science 2023-12-21 Pranta Sarker , Mir Lutfur Rahman

Multiple input multiple output (MIMO) precoding is an efficient scheme that may significantly enhance the communication link. However, this enhancement comes with a cost. Many precoding schemes require channel knowledge at the transmitter…

Information Theory · Computer Science 2009-07-28 Igor Gutman , Doron Ezri , Dov Wulich

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

Efficient optimal prefix coding has long been accomplished via the Huffman algorithm. However, there is still room for improvement and exploration regarding variants of the Huffman problem. Length-limited Huffman coding, useful for many…

Information Theory · Computer Science 2007-07-13 Michael B. Baer

This paper proposes a novel model of the two-level scalar quantizer with extended Huffman coding. It is designed for the average bit rate to approach the source entropy as close as possible provided that the signal to quantization noise…

Information Theory · Computer Science 2012-12-21 Zoran Peric , Jelena Nikolic , Lazar Velimirovic , Miomir Stankovic , Danijela Aleksic

Free-space optical (FSO) transmission enables fast, secure, and efficient next-generation communications with abundant spectrum resources. However, atmospheric turbulence, pointing errors, path loss, and atmospheric loss induce random…

Signal Processing · Electrical Eng. & Systems 2025-11-25 Jingtian Liu , Xiongwei Yang , Yi Wei , Jianjun Yu , Feng Zhao
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