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In wireless communications, spatial diversity techniques, such as space-time block code (STBC) and single-input multiple-output (SIMO), are employed to strengthen the robustness of the transmitted signal against channel fading. This paper…

信息论 · 计算机科学 2012-08-14 Yi Fang , Pingping Chen , Lin Wang , Francis C. M. Lau , Kai-Kit Wong

The complexity-performance trade-off is a fundamental aspect of the design of low-density parity-check (LDPC) codes. In this paper, we consider LDPC codes for the binary erasure channel (BEC), use code rate for performance metric, and…

信息论 · 计算机科学 2016-11-17 Vahid Jamali , Yasser Karimian , Johannes Huber , Mahmoud Ahmadian

Upcoming modern communications are based on 5G specifications and aim at providing solutions for novel vertical industries. One of the major changes of the physical layer is the use of Low-Density Parity-Check (LDPC) code for channel…

信号处理 · 电气工程与系统科学 2020-07-16 Pol Henarejos , Miguel Ángel Vázquez

In this paper, we present a construction method of non-binary low-density parity-check (LDPC) convolutional codes. Our construction method is an extension of Felstroem and Zigangirov construction for non-binary LDPC convolutional codes. The…

信息论 · 计算机科学 2015-05-20 Hironori Uchikawa , Kenta Kasai , Kohichi Sakaniwa

Protograph-based low-density parity-check Hadamard codes (PLDPC-HCs) are a new type of ultimate-Shannon-limit-approaching codes. In this paper, we propose a hardware architecture for the PLDPC-HC layered decoders. The decoders consist…

信息论 · 计算机科学 2022-08-22 Peng W. Zhang , Francis C. M. Lau , Chiu-W. Sham

Protograph low-density-parity-check (LDPC) are considered to design near-capacity low-rate codes over the binary erasure channel (BEC) and binary additive white Gaussian noise (BIAWGN) channel. For protographs with degree-one variable nodes…

信息论 · 计算机科学 2018-05-03 Asit Kumar Pradhan , Andrew Thangaraj

For improving coarsely quantized decoding of LDPC codes, we propose a check node aware design of the variable node update. In contrast to previous works, we optimize the variable node to explicitly maximize the mutual information preserved…

信息论 · 计算机科学 2022-11-15 Philipp Mohr , Gerhard Bauch

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…

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…

信息论 · 计算机科学 2024-10-18 H. Touati , R. C. de Lamare

A new construction is proposed for low density parity check (LDPC) codes using quadratic permutation polynomials over finite integer rings. The associated graphs for the new codes have both algebraic and pseudo-random nature, and the new…

信息论 · 计算机科学 2007-07-13 Oscar Y. Takeshita

The near channel performance of Low Density Parity Check Codes (LDPC) has motivated its wide applications. Iterative decoding of LDPC codes provides significant implementation challenges as the complexity grows with the code size. Recent…

分布式、并行与集群计算 · 计算机科学 2022-11-29 Sudeep Kanur , Georgios Georgakarakos , Antti Siirilä , Jérémie Lagravière , Kristian Nybom , Sébastien Lafond , Johan Lilius

Lattice codes with optimal decoding coefficient are capacity-achieving when dimension $N \rightarrow \infty$. In communications systems, finite dimensional lattice codes are considered, where the optimal decoding coefficients may still fail…

信息论 · 计算机科学 2025-01-09 Jiajie Xue , Brian M. Kurkoski

Even though polar codes were adopted in the latest 5G cellular standard, they still have the fundamental problem of high decoding latency. Aiming at solving this problem, a fast simplified successive cancellation (Fast-SSC) decoder based on…

信息论 · 计算机科学 2020-08-20 Haotian Zheng , Alexios Balatsoukas-Stimming , Zizheng Cao , Ton Koonen

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…

量子物理 · 物理学 2016-03-01 Christoph Pacher , Jesus Martinez-Mateo , Jörg Duhme , Tobias Gehring , Fabian Furrer

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…

分布式、并行与集群计算 · 计算机科学 2025-08-06 Oscar Ferraz , Vitor Silva , Gabriel Falcao

In this letter, we propose a reliability-based windowed decoding scheme for spatially-coupled (SC) low-density parity-check (LDPC) codes. To mitigate the error propagation along the sliding windowed decoder of the SC LDPC codes, a partial…

信息论 · 计算机科学 2018-05-10 Peng Kang , Yixuan Xie , Lei Yang , Jinhong Yuan

Quantum error correction (QEC) is a cornerstone of quantum computing, enabling reliable information processing in the presence of noise. Sparse stabilizer codes -- referred to generally as quantum low-density parity-check (QLDPC) codes --…

量子物理 · 物理学 2025-10-20 Bane Vasic , Valentin Savin , Michele Pacenti , Shantom Borah , Nithin Raveendran

We consider spatially coupled low-density parity-check codes with finite smoothing parameters. A finite smoothing parameter is important for designing practical codes that are decoded using low-complexity windowed decoders. By optimizing…

信息论 · 计算机科学 2017-01-27 Laurent Schmalen , Vahid Aref , Fanny Jardel

In this paper, we propose an efficient method to reduce error floors in quantum error correction using non-binary low-density parity-check (LDPC) codes. We identify and classify cycle structures in the parity-check matrix where estimated…

量子物理 · 物理学 2025-04-29 Kenta Kasai

Constrained devices, such as smart sensors, wearable devices, and Internet of Things nodes, are increasingly prevalent in society and rely on secure communications to function properly. These devices often operate autonomously, exchanging…