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Related papers: Huffman-coded Sphere Shaping and Distribution Matc…

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Huffman-coded sphere shaping (HCSS) is an algorithm for finite-length probabilistic constellation shaping, which provides nearly optimal energy efficiency at low implementation complexity. In this paper, we experimentally study the…

Signal Processing · Electrical Eng. & Systems 2020-08-07 Pavel Skvortcov , Ian Phillips , Wladek Forysiak , Toshiaki Koike-Akino , Keisuke Kojima , Kieran Parsons , David S. Millar

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, we provide for the first time a systematic comparison of distribution matching (DM) and sphere shaping (SpSh) algorithms for short blocklength probabilistic amplitude shaping. For asymptotically large blocklengths, constant…

Signal Processing · Electrical Eng. & Systems 2020-06-01 Yunus Can Gültekin , Tobias Fehenberger , Alex Alvarado , Frans M. J. Willems

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

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

The implementation difficulties of combining distribution matching (DM) and dematching (invDM) for probabilistic shaping (PS) with soft-decision forward error correction (FEC) coding can be relaxed by reverse concatenation, for which the…

Signal Processing · Electrical Eng. & Systems 2024-01-25 Tsuyoshi Yoshida , Magnus Karlsson , Erik Agrell

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

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 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

A non-uniform channel input distribution is key for achieving the capacity of arbitrary channels. However, message bits are generally assumed to follow a uniform distribution which must first be transformed to a non-uniform distribution by…

Information Theory · Computer Science 2025-12-19 Frederik Ritter , Andrej Rode , Laurent Schmalen

Product distribution matching (PDM) is proposed to generate target distributions over large alphabets by combining the output of several parallel distribution matchers (DMs) with smaller output alphabets. The parallel architecture of PDM…

Information Theory · Computer Science 2017-02-27 Georg Böcherer , Patrick Schulte , Fabian Steiner

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 introduce a high-performance linear-scaling electronic structure method that employs chromatic superposition states (CSS) as a low-dimensional, high-fidelity representation, which can be orders of magnitude smaller than the full Hilbert…

Materials Science · Physics 2026-05-21 Zhikang Jiang , Zhizhi Xiao , Mingfa Tang , Weiyu Li , Zhaoru Sun , Ke Xia , Youqi Ke

The performance of enumerative sphere shaping (ESS), constant composition distribution matching (CCDM), and uniform signalling are compared at the same forward error correction rate. ESS is shown to offer a reach increase of approximately…

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

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

On the one hand, sign-bit shaping is a popular shaping scheme where the conditional probability of the sign bit is made non-equiprobable. On the other hand, probabilistic amplitude shaping (PAS) is a popular coding scheme, to combine…

Information Theory · Computer Science 2023-03-01 Vincent Corlay , Hamidou Dembele

Hybrid beamforming (HB) has been widely studied for reducing the number of costly radio frequency (RF) chains in massive multiple-input multiple-output (MIMO) systems. However, previous works on HB are limited to a single user equipment…

Information Theory · Computer Science 2016-11-03 Dengkui Zhu , Boyu Li , Ping Liang

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,…

We address a design of high-capacity and low-peak-to-average power ratio (PAPR) orthogonal frequency-division multiplexing (OFDM) systems based on bit-interleaved coded modulation (BICM) utilizing non-equiprobable and non-uniform (NENU)…

Information Theory · Computer Science 2026-01-21 Eito Kurihara , Hideki Ochiai
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