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Related papers: Protograph-Based LDPC Code Design for Bit-Metric D…

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A novel code construction based on spatially coupled low-density parity-check (SC-LDPC) codes is presented. The proposed code ensembles are described by protographs, comprised of several protograph-based chains characterizing individual…

Information Theory · Computer Science 2016-11-18 Dmitri Truhachev , David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello

Quantum low-density parity-check (QLDPC) codes are among the most promising candidates for future quantum error correction schemes. However, a limited number of short to moderate-length QLDPC codes have been designed and their decoding…

Information Theory · Computer Science 2024-05-07 Sisi Miao , Jonathan Mandelbaum , Holger Jäkel , Laurent Schmalen

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

In this letter, we develop an efficient linear programming (LP) decoding algorithm for low-density parity-check (LDPC) codes. We first relax the maximum likelihood (ML) decoding problem to a LP problem by using check-node decomposition.…

Information Theory · Computer Science 2019-01-24 Jing Bai , Yongchao Wang , Francis C. M. Lau

We present a new class of irregular low-density parity-check (LDPC) codes for moderate block lengths (up to a few thousand bits) that are well-suited for rate-compatible puncturing. The proposed codes show good performance under puncturing…

Information Theory · Computer Science 2016-11-18 Jaehong Kim , Aditya Ramamoorthy , Steven W. McLaughlin

Codes constructed from connected spatially coupled low-density parity-check code (SC-LDPCC) chains are proposed and analyzed. It is demonstrated that connecting coupled chains results in improved iterative decoding performance. The…

Information Theory · Computer Science 2012-08-27 Dmitri Truhachev , David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello,

This paper propose a decoder architecture for low-density parity-check convolutional code (LDPCCC). Specifically, the LDPCCC is derived from a quasi-cyclic (QC) LDPC block code. By making use of the quasi-cyclic structure, the proposed…

Information Theory · Computer Science 2016-11-17 Chiu-Wing Sham , Xu Chen , Francis C. M. Lau , Yue Zhao , Wai M. Tam

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

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

The protograph low-density parity-check (LDPC) codes possess many attractive properties, such as the low encoding/decoding complexity and better error floor performance, and hence have been successfully applied to different types of…

Information Theory · Computer Science 2019-05-01 Xingwei Zhong , Kui Cai , Pingping Chen , Zhen Mei

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

A new approach for combining non-binary low-density parity-check (NB-LDPC) codes with higher-order modulation and probabilistic amplitude shaping (PAS) is presented. Instead of symbol-metric decoding (SMD), a bit-metric decoder (BMD) is…

Information Theory · Computer Science 2018-09-12 Fabian Steiner , Georg Böcherer , Gianluigi Liva

We propose a decoder for quantum low density parity check (LDPC) codes based on a beam search heuristic guided by belief propagation (BP). Our beam search decoder applies to all quantum LDPC codes and achieves different speed-accuracy…

Quantum Physics · Physics 2025-12-18 Min Ye , Dave Wecker , Nicolas Delfosse

Achieving high image quality is an important aspect in an increasing number of wireless multimedia applications. These applications require resource efficient error correction hardware to detect and correct errors introduced by the…

Information Theory · Computer Science 2013-08-02 Vikram Arkalgud Chandrasetty , Syed Mahfuzul Aziz

Low decoding latency and complexity are two important requirements of channel codes used in many applications, like machine-to-machine communications. In this paper, we show how these requirements can be fulfilled by using some special…

Information Theory · Computer Science 2018-09-14 Massimo Battaglioni , Alireza Tasdighi , Marco Baldi , Mohammad H. Tadayon , Franco Chiaraluce

This paper develops a general method for constructing entanglement-assisted quantum low-density parity-check (LDPC) codes, which is based on combinatorial design theory. Explicit constructions are given for entanglement-assisted quantum…

Information Theory · Computer Science 2012-08-28 Yuichiro Fujiwara , David Clark , Peter Vandendriessche , Maarten De Boeck , Vladimir D. Tonchev

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…

Information Theory · Computer Science 2022-08-22 Peng W. Zhang , Francis C. M. Lau , Chiu-W. Sham

This paper proposes a class of rate-compatible LDPC codes, called protograph-based Raptor-like (PBRL) codes. The construction is focused on binary codes for BI-AWGN channels. As with the Raptor codes, additional parity bits are produced by…

Information Theory · Computer Science 2014-03-11 Tsung-Yi Chen , Kasra Vakilinia , Dariush Divsalar , Richard D. Wesel

Low-density parity-check (LDPC) codes together with belief propagation (BP) decoding yield exceptional error correction capabilities in the large block length regime. Yet, there remains a gap between BP decoding and maximum likelihood…

Information Theory · Computer Science 2025-01-22 Jonathan Mandelbaum , Holger Jäkel , Laurent Schmalen

An algorithm is proposed to encode low-density parity-check (LDPC) codes into codewords with a non-uniform distribution. This enables power-efficient signalling for asymmetric channels. We show gains of 0.9 dB for additive white Gaussian…

Information Theory · Computer Science 2023-05-24 Thomas Wiegart , Linfang Wang , Diego Lentner , Richard D. Wesel