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Multidimensional Voronoi constellations (VCs) are shown to be more power-efficient than quadrature amplitude modulation (QAM) formats given the same uncoded bit error rate, and also have higher achievable information rates. However, a coded…

Information Theory · Computer Science 2023-08-02 S. Li , A. Mirani , M. Karlsson , E. Agrell

Voronoi constellations (VCs) are finite sets of vectors of a coding lattice enclosed by the translated Voronoi region of a shaping lattice, which is a sublattice of the coding lattice. In conventional VCs, the shaping lattice is a scaled-up…

Information Theory · Computer Science 2024-01-25 S. Li , A. Mirani , M. Karlsson , E. Agrell

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

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 multi-dimensional short blocklength probabilistic shaping to increase the nonlinear tolerance gain in digital subcarrier multiplexing transmission systems and demonstrate an improvement in performance compared to lower…

Information Theory · Computer Science 2021-05-12 Abdelkerim Amari , Andre Richter

This work introduces coset Bombe codes, a novel class of multilevel coset codes that generalize polar codes to dense lattice structures. By leveraging multilevel coding with non-binary codes designed for the lattice modulations and making…

Information Theory · Computer Science 2026-04-08 Leopold Bertholet , Chloe Makdad , Stephen Mackes , Daniel Chew , Matthew Robinson

In this work, geometric shaping (GS) and probabilistic shaping (PS) for the AWGN channel is reviewed. Both approaches are investigated in terms of symbol-metric decoding (SMD) and bit-metric decoding (BMD). For GS, an optimization algorithm…

Information Theory · Computer Science 2016-08-16 Fabian Steiner , Georg Böcherer

Error correction at short blocklengths remains a challenge for low-density parity-check (LDPC) codes, as belief propagation (BP) decoding is suboptimal compared to maximum-likelihood decoding (MLD). While BP rarely makes errors, it often…

Information Theory · Computer Science 2025-07-08 Ahmad Ismail , Raphaël Le Bidan , Elsa Dupraz , Charbel Abdel Nour

Two concatenated coding schemes incorporating algebraic Reed-Solomon (RS) codes and polarization-adjusted convolutional (PAC) codes are proposed. Simulation results show that at a bit error rate of $10^{-5}$, a concatenated scheme using RS…

Information Theory · Computer Science 2021-06-17 Mohsen Moradi , Amir Mozammel

This paper proposes a joint design of probabilistic constellation shaping (PCS) and precoding to enhance the sum-rate performance of multi-user visible light communications (VLC) broadcast channels subject to signal amplitude constraint. In…

Systems and Control · Electrical Eng. & Systems 2024-08-07 Thang K. Nguyen , Thanh V. Pham , Hoang D. Le , Chuyen T. Nguyen , Anh T. Pham

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

The performance of different probabilistic amplitude shaping (PAS) techniques in the nonlinear regime is investigated, highlighting its dependence on the PAS block length and the interaction with carrier phase recovery (CPR). Different PAS…

Information Theory · Computer Science 2023-05-24 Stella Civelli , Emanuele Parente , Enrico Forestieri , Marco Secondini

Constellation shaping is a well-established method to improve upon a regular quadrature amplitude modulation (QAM). It is known that the gain achieved by any shaping method for an additive white Gaussian noise (AWGN) channel is…

Information Theory · Computer Science 2025-04-28 Kirill Ivanov , Wei Yang , Jing Jiang

The Voronoi Entropy (VE) and the continuous measure of symmetry (CSM) characterize the orderliness of a set of points on a 2D plane. The Voronoi entropy is the Shannon entropy of the Voronoi tessellation of the plane into polygons,…

Statistical Mechanics · Physics 2024-10-30 Edward Bormashenko , Shraga Shoval , Mark Frenkel , Michael Nosonovsky

In this letter we present an improved distributed video coding (DVC) scheme based on polar coding techniques. Firstly, we adapt log-likelihood ratios (LLRs) for DVC with integer implementation of a discrete cosine transform (DCT). We…

Information Theory · Computer Science 2023-01-19 Grigorii Trofimiuk , Evgeny Belyaev , Peter Trifonov

A tight converse bound to channel coding rate in the finite block-length regime and under AWGN conditions was recently proposed by Polyanskiy, Poor, and Verdu (PPV). The bound is a generalization of a number of other classical results, and…

Information Theory · Computer Science 2016-06-16 Tomaso Erseghe

This paper proposes a joint design of probabilistic constellation shaping (PCS) and precoding to enhance the sum-rate performance of multi-user visible light communications (VLC) broadcast channels subject to signal amplitude constraint. In…

Systems and Control · Electrical Eng. & Systems 2025-02-14 Thang K. Nguyen , Thanh V. Pham , Hoang D. Le , Chuyen T. Nguyen , Anh T. Pham

To achieve higher coding efficiency, Versatile Video Coding (VVC) includes several novel components, but at the expense of increasing decoder computational complexity. These technologies at a low bit rate often create contouring and ringing…

Image and Video Processing · Electrical Eng. & Systems 2021-05-27 Shiba Kuanar , Dwarikanath Mahapatra , Vassilis Athitsos , K. R Rao

This paper presents an enhanced design of multi-dimensional (MD) constellations which play a pivotal role in many communication systems such as code-domain non-orthogonal multiple access (CD-NOMA). MD constellations are attractive as their…

Information Theory · Computer Science 2022-07-25 Haifeng Wen , Zilong Liu , Qu Luo , Chuang Shi , Pei Xiao

A probabilistic shaping method for multi-level coding (MLC) is presented, where the transmitted symbols are forced to have a shaped non-uniform distribution. It is shown that shaping only a single bit-level suffices to compensate for most…

Information Theory · Computer Science 2018-12-20 Onurcan İşcan , Ronald Böhnke , Wen Xu
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