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Time-varying distortions in communication systems can significantly degrade the performance of soft-decision forward error correction. This paper presents a burst-aware (BA) low-density parity-check (LDPC) decoding scheme for channels…

Signal Processing · Electrical Eng. & Systems 2026-04-09 Han Cui , Frank R. Kschischang , Magnus Karlsson , Erik Agrell

Low-density parity-check (LDPC) convolutional codes are capable of achieving excellent performance with low encoding and decoding complexity. In this paper we discuss several graph-cover-based methods for deriving families of time-invariant…

Information Theory · Computer Science 2015-03-17 Ali E. Pusane , Roxana Smarandache , Pascal O. Vontobel , Daniel J. Costello

Spatially coupled low-density parity-check (SC-LDPC) codes are sparse graph codes that have recently become of interest due to their capacity-approaching performance on memoryless binary input channels. In this paper, we unify all existing…

Information Theory · Computer Science 2017-10-11 Allison Beemer , Salman Habib , Christine A. Kelley , Joerg Kliewer

Low-density parity-check (LDPC) codes are an important feature of several communication and storage applications, offering a flexible and effective method for error correction. These codes are computationally complex and require the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-06 Oscar Ferraz , Vitor Silva , Gabriel Falcao

This work investigates protograph-based LDPC codes for the AWGN channel with OOK modulation. A non-uniform distribution of the OOK modulation symbols is considered to improve the power efficiency especially for low SNRs. To this end, a…

Information Theory · Computer Science 2019-01-11 Alexandru Dominic Git , Balázs Matuz , Fabian Steiner

In this paper, we consider quantized decoding of LDPC codes on the binary symmetric channel. The binary message passing algorithms, while allowing extremely fast hardware implementation, are not very attractive from the perspective of…

Information Theory · Computer Science 2016-11-17 Lucile Sassatelli , Shashi Kiran Chilappagari , Bane Vasic , David Declercq

In this paper, we present a low-complexity joint detection-decoding algorithm for nonbinary LDPC codedmodulation systems. The algorithm combines hard-decision decoding using the message-passing strategy with the signal detector in an…

Information Theory · Computer Science 2016-11-17 Xuepeng Wang , Baoming Bai , Xiao Ma

Sparse code multiple access (SCMA) is an emerging paradigm for efficient enabling of massive connectivity in future machine-type communications (MTC). In this letter, we conceive the uplink transmissions of the low-density parity check…

Information Theory · Computer Science 2022-02-14 Lingyun Chai , Zilong Liu , Pei Xiao , Amine Maaref , Lin Bai

We present a new family of low-density parity-check (LDPC) convolutional codes that can be designed using ordered sets of progressive differences. We study their properties and define a subset of codes in this class that have some desirable…

Information Theory · Computer Science 2012-12-21 Marco Baldi , Marco Bianchi , Giovanni Cancellieri , Franco Chiaraluce

Applying the max-product (and belief-propagation) algorithms to loopy graphs is now quite popular for best assignment problems. This is largely due to their low computational complexity and impressive performance in practice. Still, there…

Information Theory · Computer Science 2011-07-19 Yung-Yih Jian , Henry D. Pfister

In this paper we propose a new efficient message passing algorithm for decoding LDPC transmitted over a channel with strong phase noise. The algorithm performs approximate bayesian inference on a factor graph representation of the channel…

Information Theory · Computer Science 2012-04-13 Shachar Shayovitz , Dan Raphaeli

For a multiple-input multiple-output (MIMO) system with unknown channel state information (CSI), a novel low-density parity check (LDPC)-coded transmission (LCT) scheme with joint pilot and data channel estimation is proposed. To fine-tune…

Information Theory · Computer Science 2023-11-14 Binghui Shi , Yongpeng Wu , Peihong Yuan , Derrick Wing Kwan Ng , Xiang-Gen Xia , Wenjun Zhang

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 present a new algorithm, denoted as TEP, to decode low-density parity-check (LDPC) codes over the Binary Erasure Channel (BEC). The TEP decoder is derived applying the expectation propagation (EP) algorithm with a tree-…

Information Theory · Computer Science 2012-01-05 Pablo M. Olmos , Juan José Murillo-Fuentes , Fernando Pérez-Cruz

Belief Propagation (BP) decoding of LDPC codes is extended to the case of Joint Source-Channel coding. The uncompressed source is treated as a Markov process, characterized by a transition matrix, T, which is utilized as side information…

Disordered Systems and Neural Networks · Physics 2007-05-23 Haggai Kfir , Eyal Shpilman , Ido Kanter

The inherent degeneracy of quantum low-density parity-check codes poses a challenge to their decoding, as it significantly degrades the error-correction performance of classical message-passing decoders. To improve their performance, a…

Quantum Physics · Physics 2024-05-08 Julien du Crest , Francisco Garcia-Herrero , Mehdi Mhalla , Valentin Savin , Javier Valls

We present a decode-and-forward transmission scheme based on spatially-coupled low-density parity-check (SC-LDPC) codes for a network consisting of two (possibly correlated) sources, one relay, and one destination. The links between the…

Information Theory · Computer Science 2014-02-17 Stefan Schwandter , Alexandre Graell i Amat , Gerald Matz

Bit-interleaved coded modulation (BICM) has attracted considerable attention from the research community in the past three decades, because it can achieve desirable error performance with relatively low implementation complexity for a large…

Information Theory · Computer Science 2022-10-28 Yi Fang , Pingping Chen , Yong Liang Guan , Francis C. M. Lau , Yonghui Li , Guanrong Chen

In this paper, a novel decoding algorithm for low-density parity-check (LDPC) codes based on convex optimization is presented. The decoding algorithm, called interior point decoding, is designed for linear vector channels. The linear vector…

Information Theory · Computer Science 2009-11-13 Tadashi Wadayama

We introduce Decision Tree Decoders (DTDs), which rely only on the sparsity of the binary check matrix, making them broadly applicable for decoding any quantum low-density parity-check (qLDPC) code and fault-tolerant quantum circuits. DTDs…

Quantum Physics · Physics 2025-02-25 Kai R. Ott , Bence Hetényi , Michael E. Beverland
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