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In this work, we propose the integration of GLDPC codes with short polar-like component codes, termed GLDPC codes with polar component codes (GLDPC-PC). This approach leverages the good distance properties of polar-like codes and mitigates…

Information Theory · Computer Science 2024-05-10 Binghui Shi , Yongpeng Wu , Yin Xu , Xiqi Gao , Xiaohu You , Wenjun Zhang

In this paper, we propose low-complexity local detectors and log-likelihood ratio (LLR) refinement techniques for a coded cell-free massive multiple input multiple output (CF- mMIMO) systems, where an iterative detection and decoding (IDD)…

Information Theory · Computer Science 2024-05-24 T. Ssettumba , Z. Shao , L. Landau , R. C. de Lamare

Fair-density parity-check (FDPC) codes have been recently introduced demonstrating improved performance compared to low-density parity-check (LDPC) codes standardized in 5G systems particularly in high-rate regimes. In this paper, we…

Information Theory · Computer Science 2025-10-02 Niloufar Hosseinzadeh , Mohsen Moradi , Hessam Mahdavifar

In this paper, we derive the exact input/output transfer functions of the optimal a-posteriori probability channel detector for a general ISI channel with erasures. Considering three channel impulse responses of different memory as an…

Information Theory · Computer Science 2024-04-17 Mgeni Makambi Mashauri , Alexandre Graell i Amat , Michael Lentmaier

An information reconciliation method for continuous-variable quantum key distribution with Gaussian modulation that is based on non-binary low-density parity-check (LDPC) codes is presented. Sets of regular and irregular LDPC codes with…

Quantum Physics · Physics 2016-03-01 Christoph Pacher , Jesus Martinez-Mateo , Jörg Duhme , Tobias Gehring , Fabian Furrer

In orthogonal frequency-division multiplexing (OFDM) systems operating over rapidly time-varying channels, the orthogonality between subcarriers is destroyed leading to inter-carrier interference (ICI) and resulting in an irreducible error…

Information Theory · Computer Science 2009-11-03 Erdal Panayirci , Hakan Dogan , H. Vincent Poor

In this paper we analyze the performance of several bit-interleaving strategies applied to Non-Binary Low-Density Parity-Check (LDPC) codes over the Rayleigh fading channel. The technique of bit-interleaving used over fading channel…

Information Theory · Computer Science 2013-01-21 Valentin Savin , David Declercq

In this paper, we develop efficient decoders for non-binary low-density parity-check (LDPC) codes using the alternating direction method of multipliers (ADMM). We apply ADMM to two decoding problems. The first problem is linear programming…

Information Theory · Computer Science 2015-07-29 Xishuo Liu , Stark C. Draper

In this paper, by treating Reed-Muller (RM) codes as a special class of low-density parity-check (LDPC) codes and assuming that sub-blocks of the parity-check matrix are randomly interleaved to each other as Gallager's codes, we present a…

Information Theory · Computer Science 2025-04-24 Xiao Ma

Recently, a parallel decoding framework of $G_N$-coset codes was proposed. High throughput is achieved by decoding the independent component polar codes in parallel. Various algorithms can be employed to decode these component codes,…

Information Theory · Computer Science 2020-04-22 Xianbin Wang , Jiajie Tong , Huazi Zhang , Shengchen Dai , Rong Li , Jun Wang

In this paper, two-user Gaussian interference channel(GIC) is revisited with the objective of developing implementable (explicit) channel codes. Specifically, low density parity check (LDPC) codes are adopted for use over these channels,…

Information Theory · Computer Science 2013-11-01 Shahrouz Sharifi , Tolga M. Duman

The paper introduces new bounds on the asymptotic density of parity-check matrices and the achievable rates under ML decoding of binary linear block codes transmitted over memoryless binary-input output-symmetric channels. The lower bounds…

Information Theory · Computer Science 2007-07-13 Gil Wiechman , Igal Sason

We introduce a decoding framework for correlated errors in quantum LDPC codes under circuit-level noise. The core of our approach is a graph augmentation and rewiring for interference (GARI) method, which modifies the correlated detector…

Quantum Physics · Physics 2026-03-26 Arshpreet Singh Maan , Francisco-Garcia Herrero , Alexandru Paler , Valentin Savin

We present an analysis, under iterative decoding, of coset LDPC codes over GF(q), designed for use over arbitrary discrete-memoryless channels (particularly nonbinary and asymmetric channels). We use a random-coset analysis to produce an…

Information Theory · Computer Science 2007-07-16 Amir Bennatan , David Burshtein

Spatial coupling is utilized to improve the performance of iterative channel estimation, multiuser detection, and decoding for multiple-input multiple-input (MIMO) bit-interleaved coded modulation (BICM). Coupling is applied to both coding…

Information Theory · Computer Science 2014-12-22 Keigo Takeuchi

A new coded modulation scheme is proposed. At the transmitter, the concatenation of a distribution matcher and a systematic binary encoder performs probabilistic signal shaping and channel coding. At the receiver, the output of a bitwise…

Information Theory · Computer Science 2015-04-23 Georg Böcherer , Patrick Schulte , Fabian Steiner

In this work, we investigate the decoding of Low-Density Parity-Check (LDPC) codes using informed dynamic scheduling algorithms that require a reduced number of iterations. In particular, we devise the weighted residual layered belief…

Information Theory · Computer Science 2024-10-18 H. Touati , R. C. de Lamare

This article introduces a novel non-orthogonal multiple access (NOMA) scheme for coordinated uplink channels. The scheme builds on the recently proposed sparse-regression low-density parity-check (SR-LDPC) code, and extends the underlying…

Information Theory · Computer Science 2024-10-23 Jamison R. Ebert , Jean-Francois Chamberland , Krishna R. Narayanan

In this paper, we propose a non-uniform windowed decoder for multi-dimensional spatially-coupled LDPC (MD-SC-LDPC) codes over the binary erasure channel. An MD-SC-LDPC code is constructed by connecting together several SC-LDPC codes into…

Information Theory · Computer Science 2020-05-13 Lev Tauz , Homa Esfahanizadeh , Lara Dolecek

We present a mathematical connection between channel coding and compressed sensing. In particular, we link, on the one hand, \emph{channel coding linear programming decoding (CC-LPD)}, which is a well-known relaxation o maximum-likelihood…

Information Theory · Computer Science 2016-11-17 Alexandros G. Dimakis , Roxana Smarandache , Pascal O. Vontobel