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Irregular repeat-accumulate Root-Check LDPC codes based on Progressive Edge Growth (PEG) techniques for block-fading channels are proposed. The proposed Root-Check LDPC codes are {both suitable for channels under $F = 2, 3$ independent…

Information Theory · Computer Science 2014-02-25 A. G. D. Uchoa , C. T. Healy , R. C. de Lamare

Low-density parity-check (LDPC) codes are capable of achieving excellent performance and provide a useful alternative for high performance applications. However, at medium to high signal-to-noise ratios (SNR), an observable error floor…

Information Theory · Computer Science 2016-08-17 C. T. Healy , R. C. de Lamare

We solve the problem of designing powerful low-density parity-check (LDPC) codes with iterative decoding for the block-fading channel. We first study the case of maximum-likelihood decoding, and show that the design criterion is rather…

Information Theory · Computer Science 2016-11-18 Joseph J. Boutros , Albert Guillen i Fabregas , Ezio Biglieri , Gilles Zemor

We propose an Iterative Detection and Decoding (IDD) scheme with Low Density Parity Check (LDPC) codes for Multiple Input Multiple Output (MIMO) systems for block-fading $F = 2$ and fast fading Rayleigh channels. An IDD receiver with soft…

Information Theory · Computer Science 2014-04-09 A. G. D. Uchoa , C. T. Healy , R. C. de Lamare , P. Li

We propose iterative detection and decoding (IDD) algorithms with Low-Density Parity-Check (LDPC) codes for Multiple Input Multiple Output (MIMO) systems operating in block-fading and fast Rayleigh fading channels. Soft-input soft-output…

Information Theory · Computer Science 2016-11-17 André Uchoa , Cornelius T. Healy , Rodrigo C. de Lamare

We study Low-Density Parity-Check (LDPC) codes with iterative decoding on block-fading (BF) Relay Channels. We consider two users that employ coded cooperation, a variant of decode-and-forward with a smaller outage probability than the…

Information Theory · Computer Science 2012-10-05 Dieter Duyck , Joseph J. Boutros , Marc Moeneclaey

Block-fading (BF) channel, also known as slow-fading channel, is a type of simple and practical channel model that can characterize the primary feature of a number of wireless-communication applications with low to moderate mobility.…

Information Theory · Computer Science 2021-07-22 Yi Fang , Pingping Chen , Guofa Cai , Francis C. M. Lau , Soung Chang Liew , Guojun Han

Most low-density parity-check (LDPC) code constructions are considered over finite fields. In this work, we focus on regular LDPC codes over integer residue rings and analyze their performance with respect to the Lee metric. Their…

Information Theory · Computer Science 2024-08-01 Jessica Bariffi , Hannes Bartz , Gianluigi Liva , Joachim Rosenthal

To obtain a better cycle-structure is still a challenge for the low-density parity-check (LDPC) code design. This paper formulates two metrics firstly so that the progressive edge-growth (PEG) algorithm and the approximate cycle extrinsic…

Information Theory · Computer Science 2019-04-16 Xuan He , Liang Zhou , Junyi Du

The design of low-density parity-check (LDPC) code ensembles optimized for a finite number of decoder iterations is investigated. Our approach employs EXIT chart analysis and differential evolution to design such ensembles for the binary…

Information Theory · Computer Science 2016-11-17 Ian P. Mulholland , Enrico Paolini , Mark F. Flanagan

Low density parity-check (LDPC) codes are a class of linear block codes that are decoded by running belief propagation (BP) algorithm or log-likelihood ratio belief propagation (LLR-BP) over the factor graph of the code. One of the…

Information Theory · Computer Science 2011-07-15 A. Dinesh Kumar , Ambedkar Dukkipati

Forward error correcting (FEC) codes are used in many communication standards with a wide range of re quirements. FEC codes should work close to capacity, achieve low error floors, and have low decoding complexity. In this paper, we propose…

Information Theory · Computer Science 2025-05-26 Vincent Wüst , Erdem Eray Cil , Laurent Schmalen

In this paper, we investigate novel strategies for generating rate-compatible (RC) irregular low-density parity-check (LDPC) codes with short/moderate block lengths. We propose three puncturing and two extension schemes, which are designed…

Information Theory · Computer Science 2014-07-22 J. Liu , R. C. de Lamare

Cyclic liftings are proposed to lower the error floor of low-density parity-check (LDPC) codes. The liftings are designed to eliminate dominant trapping sets of the base code by removing the short cycles which form the trapping sets. We…

Information Theory · Computer Science 2010-02-24 Reza Asvadi , Amir H. Banihashemi , Mahmoud Ahmadian-Attari

A generalized low-density parity-check (GLDPC) code is a class of codes, where single parity check nodes in a conventional low-density parity-check (LDPC) code are replaced by linear codes with higher parity check constraints. In this…

Information Theory · Computer Science 2022-09-07 Jaewha Kim , Jae-Won Kim , Hee-Youl Kwak , Jong-Seon No

We study the performance of nonbinary low-density parity-check (LDPC) codes over finite integer rings over two channels that arise from the Lee metric. The first channel is a discrete memory-less channel (DMC) matched to the Lee metric. The…

Information Theory · Computer Science 2022-10-19 Jessica Bariffi , Hannes Bartz , Gianluigi Liva , Joachim Rosenthal

The peeling decoding for spatially coupled low-density parity-check (SC-LDPC) codes is analyzed for a binary erasure channel. An analytical calculation of the mean evolution of degree-one check nodes of protograph-based SC-LDPC codes is…

Information Theory · Computer Science 2014-02-03 Markus Stinner Pablo M. Olmos

Low-density parity-check (LDPC) codes with the parity-based approach for distributed joint source channel coding (DJSCC) with decoder side information is described in this paper. The parity-based approach is theoretical limit achievable.…

Information Theory · Computer Science 2014-04-10 Feng Cen

Assuming iterative decoding for binary erasure channels (BECs), a novel tree-based technique for upper bounding the bit error rates (BERs) of arbitrary, finite low-density parity-check (LDPC) codes is provided and the resulting bound can be…

Information Theory · Computer Science 2007-07-13 Chih-Chun Wang , Sanjeev R. Kulkarni , H. Vincent Poor

We propose a deterministic method to design irregular Low-Density Parity-Check (LDPC) codes for binary erasure channels (BEC). Compared to the existing methods, which are based on the application of asymptomatic analysis tools such as…

Information Theory · Computer Science 2008-01-24 Hamid Saeedi , Amir H. Banihashemi
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