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In this letter, we present a hybrid iterative decoder for non-binary low density parity check (LDPC) codes over binary erasure channel (BEC), based on which the recursion of the erasure probability is derived to design non-binary LDPC codes…

信号处理 · 电气工程与系统科学 2020-03-04 Yang Yu , Wen Chen , Lili Wei

Low-density parity-check (LDPC) coding for a multitude of equal-capacity channels is studied. First, based on numerous observations, a conjecture is stated that when the belief propagation decoder converges on a set of equal-capacity…

信息论 · 计算机科学 2016-11-17 Ali Sanaei , Mahdi Ramezani , Masoud Ardakani

This letter describes how to improve performance of cellular systems by combining non-equiprobable signaling (shaping) with low-density parity check (LDPC) coding for an orthogonal frequency division multiplexing system. We focus on…

信号处理 · 电气工程与系统科学 2026-02-03 Sandesh Rao Mattu , Nishant Mehrotra , Robert Calderbank

Classical low-density parity-check (LDPC) codes are a widely deployed and well-established technology, forming the backbone of modern communication and storage systems. It is well known that, in this classical setting, increasing the girth…

量子物理 · 物理学 2026-01-21 Kenta Kasai

We propose and analyze a novel scheme based on LDPC codes for quantitative group testing. The key underlying idea is to augment the bipartite graph by introducing hidden non-binary variables to strengthen the message-passing decoder. This…

信息论 · 计算机科学 2024-10-01 Mgeni Makambi Mashauri , Alexandre Graell i Amat , Michael Lentmaier

Information reconciliation is a crucial procedure in the classical post-processing of quantum key distribution (QKD). Poor reconciliation efficiency, revealing more information than strictly needed, may compromise the maximum attainable…

量子物理 · 物理学 2013-01-30 Jesus Martinez-Mateo , David Elkouss , Vicente Martin

One of the major challenges in Wireless Body Area Networks (WBANs) is to prolong the lifetime of network. Traditional research work focuses on minimizing transmit power, however, in the case of short range communication the consumption…

网络与互联网体系结构 · 计算机科学 2013-09-04 N. Javaid , O. Rehman , N. Alrajeh , Z. A. Khan , B. Manzoor , S. Ahmed

Quantum cryptography via key distribution mechanisms that utilize quantum entanglement between sender-receiver pairs will form the basis of future large-scale quantum networks. A key engineering challenge in such networks will be the…

信息论 · 计算机科学 2015-05-14 Yixuan Xie , Jun Li , Robert Malaney , Jinhong Yuan

The problem of designing efficient feedback-based scheduling policies for chunked codes (CC) over packet networks with delay and loss is considered. For networks with feedback, two scheduling policies, referred to as random push (RP) and…

信息论 · 计算机科学 2012-07-20 Anoosheh Heidarzadeh , Amir H. Banihashemi

This paper proposes a "quasi-synchronous" design approach for signal processing circuits, in which timing violations are permitted, but without the need for a hardware compensation mechanism. The case of a low-density parity-check (LDPC)…

信息论 · 计算机科学 2017-11-21 François Leduc-Primeau , Frank R. Kschischang , Warren J. Gross

In this paper, a simple, general-purpose and effective tool for the design of low-density parity-check (LDPC) codes for iterative correction of bursts of erasures is presented. The design method consists in starting from the parity-check…

信息论 · 计算机科学 2008-10-08 E. Paolini , M. Chiani

In cellular federated edge learning (FEEL), multiple edge devices holding local data jointly train a neural network by communicating learning updates with an access point without exchanging their data samples. With very limited…

信息论 · 计算机科学 2020-06-24 Jinke Ren , Yinghui He , Dingzhu Wen , Guanding Yu , Kaibin Huang , Dongning Guo

The "Divide and Concur'' (DC) algorithm, recently introduced by Gravel and Elser, can be considered a competitor to the belief propagation (BP) algorithm, in that both algorithms can be applied to a wide variety of constraint satisfaction,…

信息论 · 计算机科学 2010-01-13 Jonathan S. Yedidia , Yige Wang , Stark C. Draper

Layered decoding is well appreciated in Low-Density Parity-Check (LDPC) decoder implementation since it can achieve effectively high decoding throughput with low computation complexity. This work, for the first time, addresses low…

信息论 · 计算机科学 2012-04-13 Zhiqiang Cui , Zhongfeng Wang , Xinmiao Zhang

The error floor phenomenon observed with LDPC codes and their graph-based, iterative, message-passing (MP) decoders is commonly attributed to the existence of error-prone substructures -- variously referred to as near codewords, trapping…

信息论 · 计算机科学 2013-09-11 Xiaojie Zhang , Paul H. Siegel

This study investigates the problem of learning linear block codes optimized for Belief-Propagation decoders significantly improving performance compared to the state-of-the-art. Our previous research is extended with an enhanced system…

信号处理 · 电气工程与系统科学 2025-10-02 Louis-Adrien Dufrène , Quentin Lampin , Guillaume Larue

In the emerging field of goal-oriented communications, the focus has shifted from reconstructing data to directly performing specific learning tasks, such as classification, segmentation, or pattern recognition, on the received coded data.…

图像与视频处理 · 电气工程与系统科学 2025-03-18 Ahcen Aliouat , Elsa Dupraz

This paper proposes a new iterative gradient descent decoding method for real number parity codes. The proposed decoder, named Gradient Descent Symbol Update (GDSU), is used for a class of low-density parity-check (LDPC) real-number codes…

信息论 · 计算机科学 2024-11-26 Oana Boncalo , Alexandru Amaricai

Iterative graph algorithms often compute intermediate values and update them as computation progresses. Updated output values are used as inputs for computations in current or subsequent iterations; hence the number of iterations required…

分布式、并行与集群计算 · 计算机科学 2021-10-05 Mark P. Blanco , Scott McMillan , Tze Meng Low

We introduce a new method for decoding short and moderate length linear block codes with dense parity-check matrix representations of cyclic form, termed multiple-bases belief-propagation (MBBP). The proposed iterative scheme makes use of…

信息论 · 计算机科学 2016-11-15 Thorsten Hehn , Johannes B. Huber , Olgica Milenkovic , Stefan Laendner
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